,illustration3 ,,plate ,i4 ,maps ,i4-,,iv4 ,,half-,,hours ,,with ,,the ,,telescope2 ,,being ,a ,,popular ,,guide ,,to ,,the ,,use ,,of ,,the ,,telescope ,,as ,a ,,means ,,of ,,amusement ,,and ,,instruction4 ,,by ,,richard ,a4 ,,proctor1 ,b4,a41 ,f4,r4,a4,s41 ,,author ,,of ,,saturn ,,and ,,its ,,system1 ,,etc4 ,,with ,,illustrations ,,on ,,stone ,,and ,,wood4 99 99 99 99 99 ,an undevout astronomer is mad3 ,true1 all things speak a ,god2 but1 in the small ,men trace out ,him3 in great ,he seizes man4 ,,young4 99 99 99 99 99 ,,new ,,york3 ,g4,p4 ,,putnam',s ,,sons4 #ahgc4 ,,london3 ,,printed ,,by ,,william ,,clowes ,,and ,,sons1 ,,stamford ,,street ,,and ,,charing ,,cross4 ,,preface4 ,the object which the ,author and ,publisher of this little work have proposed to themselves1 has been the production1 at a moderate price1 of a useful and reliable guide to the amateur telescopist4 ,among the celestial phenomena described or figured in this treatise1 by far the larger number may be profitably examined with small telescopes1 and there are none which are beyond the range of a good #c-;inch achromatic4 ,the work also treats of the construction of telescopes1 the nature and use of star-maps1 and other subjects connected with the requirements of amateur observers4 ,r4,a4,p4 ,january1 #ahfh4 ,,contents4 ,,chapter ,i4 ,,page ,a ,,half-,,hour ,,on ,,the ,,structure ,,of ,,the ,,telescope #a ,,chapter ,,ii4 ,a ,,half-,,hour ,,with ,,orion1 ,,lepus1 ,,taurus1 ,,etc4 #cc ,,chapter ,,iii4 ,a ,,half-,,hour ,,with ,,lyra1 ,,hercules1 ,,corvus1 ,,crater1 ,,etc4 #dg ,,chapter ,,iv4 ,a ,,half-,,hour ,,with ,,bootes1 ,,scorpio1 ,,ophiuchus1 ,,etc4 #ef ,,chapter ,v4 ,a ,,half-,,hour ,,with ,,andromeda1 ,,cygnus1 ,,etc4 #ff ,,chapter ,,vi4 ,,half-,,hours ,,with ,,the ,,planets #gd ,,chapter ,,vii4 ,,half-,,hours ,,with ,,the ,,sun ,,and ,,moon #ic ,,description ,,of ,,plates4 ,,plate ,i4--,frontispiece4 ,this plate presents the aspect of the heavens at the four seasons1 dealt with in ,chapters ,,ii41 ,,iii41 ,,iv41 and ,v4 ,in each map of this plate the central point represents the point vertically over the observer's head1 and the circumference represents his horizon4 ,the plan of each map is such that the direction of a star or constellation1 as respects the compass-points1 and its elevation1 also1 above the horizon1 at the given season1 can be at once determined4 ,two illustrations of the use of the maps will serve to explain their nature better than any detailed description4 ,suppose first1 that--at one of the hours named under ,map ,i4--the observer wishes to find ,castor and ,pollux3--,turning to ,map ,i4 he sees that these stars lie in the lower left-hand quadrant1 and very nearly towards the point marked ,s4,e42 that is1 they are to be looked for on the sky towards the south-east4 ,also1 it is seen that the two stars lie about one-fourth of the way from the centre towards the circumference4 ,hence1 on the sky1 the stars will be found about one-fourth of the way from the zenith towards the horizon3 ,castor will be seen immediately above ,pollux4 ,next1 suppose that at one of the hours named the observer wishes to learn what stars are visible towards the west and north-west3--,turning the map until the portion of the circumference marked ,w 444 ,n4,w4 is lowermost1 he sees that in the direction named the square of ,pegasus lies not very high above the horizon1 one diagonal of the square being vertical1 the other nearly horizontal4 ,above the square is ,andromeda1 to the right of which lies ,cassiopeia1 the stars beta and epsilon of this constellation lying directly towards the north-west1 while the star alpha lies almost exactly midway between the zenith and the horizon4 ,above ,andromeda1 a little towards the left1 lies ,perseus1 ,algol being almost exactly towards the west and one-third of the way from the zenith towards the horizon 7because one-third of the way from the centre towards the circumference of the map74 ,almost exactly in the zenith is the star delta ,aurig4 ,the four maps are miniatures of ,maps ,i41 ,,iv41 ,,vii41 and ,x4 of my ',constellation ,seasons1' fourth-magnitude stars1 however1 being omitted4 ,,plates ,,ii41 ,,iii41 ,,iv41 and ,v41 illustrating ,chapters ,,ii41 ,,iii41 ,,iv41 and ,v4 ,plates ,,ii4 and ,,iv4 contain four star-maps4 ,they not only serve to indicate the configuration of certain important star-groups1 but they illustrate the construction of maps1 such as the observer should make for himself when he wishes to obtain an accurate knowledge of particular regions of the sky4 ,they are all made to one scale1 and on the conical projection--the simplest and best of all projections for maps of this sort4 ,the way in which the meridians and parallels for this projection are laid down is described in my ',handbook of the ,stars4' ,with a little practice a few minutes will suffice for sweeping out the equidistant circular arcs which mark the parallels and ruling in the straight meridians4 ,the dotted line across three of the maps represents a portion of the horizontal circle midway between the zenith and the horizon at the hour at which the map is supposed to be used4 ,at other hours1 of course1 this line would be differently situated4 ,plates ,,iii4 and ,v4 represent fifty-two of the objects mentioned in the above-named chapters4 ,as reference is made to these figures in the text1 little comment is here required4 ,it is to be remarked1 however1 that the circles1 and especially the small circles1 do not represent the whole of the telescope's field of view1 only a small portion of it4 ,the object of these figures is to enable the observer to know what to expect when he turns his telescope towards a difficult double star4 ,many of the objects depicted are very easy doubles3 these are given as objects of reference4 ,the observer having seen the correspondence between an easy double and its picture1 as respects the relation between the line joining the components and the apparent path of the double across the telescope's field of view1 will know how to interpret the picture of a difficult double in this respect4 ,and as all the small figures are drawn to one scale1 he will also know how far apart he may expect to find the components of a difficult double4 ,thus he will have an exact conception of the sort of duplicity he is to look for1 and this is--crede experto--a great step towards the detection of the star's duplicity4 ,,plates ,,vi4 and ,,vii41 illustrating ,chapters ,,vi4 and ,,vii4 ,the views of ,mercury1 ,venus1 and ,mars in these plates 7except the smaller view of ,jupiter in ,plate ,,vii47 are supposed to be seen with the same power4 ,the observer must not expect to see the details presented in the views of ,mars with anything like the distinctness ,i have here given to them4 ,if he place the plate at a distance of six or seven yards he will see the views more nearly as ,mars is likely to appear in a good three-inch aperture4 ,the chart of ,mars is a reduction of one ,i have constructed from views by ,mr4 ,dawes4 ,i believe that nearly all the features included in the chart are permanent1 though not always visible4 ,i take this opportunity of noting that the eighteen orthographic pictures of ,mars presented with my shilling chart are to be looked on rather as maps than as representing telescopic views4 ,they illustrate usefully the varying presentation of ,mars towards the earth4 ,the observer can obtain other such illustrations for himself by filling in outlines1 traced from those given at the foot of ,plate ,,vi41 with details from the chart4 ,it is to be noted that ,mars varies in presentation1 not only as respects the greater or less opening out of his equator towards the north or south1 but as respects the apparent slope of his polar axis to the right or left4 ,the four projections as shown1 or inverted1 or seen from the back of the plate 7held up to the light7 give presentations of ,mars towards the sun at twelve periods of the ,martial year1--viz41 at the autumnal and vernal equinoxes1 at the two solstices1 and at intermediate periods corresponding to our terrestrial months4 ,in fact1 by means of these projections one might readily form a series of sun-views of ,mars resembling my ',sun-views of the ,earth4' ,in the first view of ,jupiter it is to be remarked that the three satellites outside the disc are supposed to be moving in directions appreciably parallel to the belts on the disc--the upper satellites from right to left1 the lower one from left to right4 ,in general the satellites1 when so near to the disc1 are not seen in a straight line1 as the three shown in the figure happen to be4 ,of the three spots on the disc1 the faintest is a satellite1 the neighbouring dark spot its shadow1 the other dark spot the shadow of the satellite close to the planet's disc4 ,,half-,,hours ,,with ,,the ,,telescope4 ,,chapter ,i4 ,a ,,half-,,hour ,,on ,,the ,,structure ,,of ,,the ,,telescope4 ,there are few instruments which yield more pleasure and instruction than the ,telescope4 ,even a small telescope--only an inch and a half or two inches1 perhaps1 in aperture--will serve to supply profitable amusement to those who know how to apply its powers4 ,i have often seen with pleasure the surprise with which the performance even of an opera-glass1 well steadied1 and directed towards certain parts of the heavens1 has been witnessed by those who have supposed that nothing but an expensive and colossal telescope could afford any views of interest4 ,but a well-constructed achromatic of two or three inches in aperture will not merely supply amusement and instruction1--it may be made to do useful work4 ,the student of astronomy is often deterred from telescopic observation by the thought that in a field wherein so many have laboured1 with abilities and means perhaps far surpassing those he may possess1 he is little likely to reap results of any utility4 ,he argues that1 since the planets1 stars1 and nebul have been scanned by ,herschel and ,rosse1 with their gigantic mirrors1 and at ,pulkova and ,greenwich with refractors whose construction has taxed to the utmost the ingenuity of the optician and mechanic1 it must be utterly useless for an unpractised observer to direct a telescope of moderate power to the examination of these objects4 ,now1 passing over the consideration that a small telescope may afford its possessor much pleasure of an intellectual and elevated character1 even if he is never able by its means to effect original discoveries1 two arguments may be urged in favour of independent telescopic observation4 ,in the first place1 the student who wishes to appreciate the facts and theories of astronomy should familiarize himself with the nature of that instrument to which astronomers have been most largely indebted4 ,in the second place1 some of the most important discoveries in astronomy have been effected by means of telescopes of moderate power used skilfully and systematically4 ,one instance may suffice to show what can be done in this way4 ,the well-known telescopist ,goldschmidt 7who commenced astronomical observation at the age of forty-eight1 in #ahej7 added fourteen asteroids to the solar system1 not to speak of important discoveries of nebul and variable stars1 by means of a telescope only five feet in focal length1 mounted on a movable tripod stand4 ,the feeling experienced by those who look through a telescope for the first time1--especially if it is directed upon a planet or nebula--is commonly one of disappointment4 ,they have been told that such and such powers will exhibit ,jupiter's belts1 ,saturn's rings1 and the continent-outlines on ,mars2 yet1 though perhaps a higher power is applied1 they fail to detect these appearances1 and can hardly believe that they are perfectly distinct to the practised eye4 ,the expectations of the beginner are especially liable to disappointment in one particular4 ,he forms an estimate of the view he is to obtain of a planet by multiplying the apparent diameter of the planet by the magnifying power of his telescope1 and comparing the result with the apparent diameter of the sun or moon4 ,let us suppose1 for instance1 that on the day of observation ,jupiter's apparent diameter is #de1 and that the telescopic power applied is #dj1 then in the telescope ,jupiter should appear to have a diameter of #ahjj1 or half a degree1 which is about the same as the moon's apparent diameter4 ,but when the observer looks through the telescope he obtains a view--interesting1 indeed1 and instructive--but very different from what the above calculation would lead him to expect4 ,he sees a disc apparently much smaller than the moon's1 and not nearly so well-defined in outline2 in a line with the disc's centre there appear three or four minute dots of light1 the satellites of the planet2 and1 perhaps1 if the weather is favourable and the observer watchful1 he will be able to detect faint traces of belts across the planet's disc4 ,yet in such a case the telescope is not in fault4 ,the planet really appears of the estimated size4 ,in fact1 it is often possible to prove this in a very simple manner4 ,if the observer wait until the planet and the moon are pretty near together1 he will find that it is possible to view the planet with one eye through the telescope and the moon with the unaided eye1 in such a manner that the two discs may coincide1 and thus their relative apparent dimensions be at once recognised4 ,nor should the indistinctness and incompleteness of the view be attributed to imperfection of the telescope2 they are partly due to the nature of the observation and the low power employed1 and partly to the inexperience of the beginner4 ,it is to such a beginner that the following pages are specially addressed1 with the hope of affording him aid and encouragement in the use of one of the most enchanting of scientific instruments1--an instrument that has created for astronomers a new sense1 so to speak1 by which1 in the words of the ancient poet3 ,subjecere oculis distantia sidera nostris1 theraque ingenio supposuere suo4 ,in the first place1 it is necessary that the beginner should rightly know what is the nature of the instrument he is to use4 ,and this is the more necessary because1 while it is perfectly easy to obtain such knowledge without any profound acquaintance with the science of optics1 yet in many popular works on this subject the really important points are omitted1 and even in scientific works such points are too often left to be gathered from a formula4 ,when the observer has learnt what it is that his instrument is actually to do for him1 he will know how to estimate its performance1 and how to vary the application of its powers--whether illuminating or magnifying--according to the nature of the object to be observed4 ,let us consider what it is that limits the range of natural vision applied to distant objects4 ,what causes an object to become invisible as its distance increases8 ,two things are necessary that an object should be visible4 ,it must be large enough to be appreciated by the eye1 and it must send light enough4 ,thus increase of distance may render an object invisible1 either through diminution of its apparent size1 or through diminution in the quantity of light it sends to the eye1 or through both these causes combined4 ,a telescope1 therefore1 or 7as its name implies7 an instrument to render distant objects visible1 must be both a magnifying and an illuminating instrument4 ,illustration3 ,fig4 #a4 ,let ,,ef1 fig4 #a1 be an object1 not near to ,,ab as in the figure1 but so far off that the bounding lines from ,a and ,b would meet at the point corresponding to the point ,p4 ,then if a large convex glass ,,ab 7called an object-glass7 be interposed between the object and the eye1 all those rays which1 proceeding from ,p1 fall on ,,ab1 will be caused to converge nearly to a point p4 ,the same is true for every point of the object ,,emf1 and thus a small image1 emf1 will be formed4 ,this image will not lie exactly on a flat surface1 but will be curved about the point midway between ,a and ,b as a centre4 ,now if the lens ,,ab is removed1 and an eye is placed at m to view the distant object ,,emf1 those rays only from each point of the object which fall on the pupil of the eye 7whose diameter is about equal to mp suppose7 will serve to render the object visible4 ,on the other hand1 every point of the image emf has received the whole of the light gathered up by the large glass ,,ab4 ,if then we can only make this light available1 it is clear that we shall have acquired a large increase of light from the distant object4 ,now it will be noticed that the light which has converged to p1 diverges from p so that an eye1 placed that this diverging pencil of rays may fall upon it1 would be too small to receive the whole of the pencil4 ,or1 if it did receive the whole of this pencil1 it clearly could not receive the whole of the pencils proceeding from other parts of the image emf4 ,something would be gained1 though1 even in this case1 since it is clear that an eye thus placed at a distance of ten inches from emf 7which is about the average distance of distinct vision7 would not only receive much more light from the image emf1 than it would from the object ,,emf1 but see the image much larger than the object4 ,it is in this way that a simple object-glass forms a telescope1 a circumstance we shall presently have to notice more at length4 ,but we want to gain the full benefit of the light which has been gathered up for us by our object-glass4 ,we therefore interpose a small convex glass ab 7called an eye-glass7 between the image and the eye1 at such a distance from the image that the divergent pencil of rays is converted into a pencil of parallel or nearly parallel rays4 ,call this an emergent pencil4 ,then all the emergent pencils now converge to a point on the axial line m,m 7produced beyond m71 and an eye suitably placed can take in all of them at once4 ,thus the whole1 or a large part1 of the image is seen at once4 ,but the image is seen inverted as shown4 ,this is the ,telescope1 as it was first discovered1 and such an arrangement would now be called a simple astronomical ,telescope4 ,let us clearly understand what each part of the astronomical telescope does for us3-- ,the object-glass ,,ab gives us an illuminated image1 the amount of illumination depending on the size of the object-glass4 ,the eye-glass enables us to examine the image microscopically4 ,we may apply eye-glasses of different focal length4 ,it is clear that the shorter the focal length of ab1 the nearer must ab be placed to the image1 and the smaller will the emergent pencils be1 but the greater the magnifying power of the eye-glass4 ,if the emergent pencils are severally larger than the pupil of the eye1 light is wasted at the expense of magnifying power4 ,therefore the eye-glass should never be of greater focal length than that which makes the emergent pencils about equal in diameter to the pupil of the eye4 ,on the other hand1 the eye-glass must not be of such small focal length that the image appears indistinct and contorted1 or dull for want of light4 ,illustration3 ,fig4 #b4 ,let us compare with the arrangement exhibited in fig4 #a that adopted by ,galileo4 ,surprise is sometimes expressed that this instrument1 which in the hands of the great ,florentine astronomer effected so much1 should now be known as the non-astronomical ,telescope4 ,i think this will be readily understood when we compare the two arrangements4 ,in the ,galilean ,telescope a small concave eye-glass1 ab 7fig4 #b71 is placed between the object-glass and the image4 ,in fact1 no image is allowed to be formed in this arrangement1 but the convergent pencils are intercepted by the concave eye-glass1 and converted into parallel emergent pencils4 ,now in fig4 #b the concave eye-glass is so placed as to receive only a part of the convergent pencil ,a p ,b1 and this is the arrangement usually adopted4 ,by using a concave glass of shorter focus1 which would therefore be placed nearer to m p1 the whole of the convergent pencil might be received in this as in the former case4 ,but then the axis of the emergent pencil1 instead of returning 7as we see it in fig4 #a7 towards the axis of the telescope1 would depart as much from that axis4 ,thus there would be no point on the axis at which the eye could be so placed as to receive emergent pencils showing any considerable part of the object4 ,the difference may be compared to that between looking through the small end of a cone-shaped roll of paper and looking through the large end2 in the former case the eye sees at once all that is to be seen through the roll 7supposed fixed in position71 in the latter the eye may be moved about so as to command the same range of view1 but at any instant sees over a much smaller range4 ,to return to the arrangement actually employed1 which is illustrated by the common opera-glass4 ,we see that the full illuminating power of the telescope is not brought into play4 ,but this is not the only objection to the ,galilean ,telescope4 ,it is obvious that if the part ,c ,d of the object-glass were covered1 the point ,p would not be visible1 whereas1 in the astronomical arrangement no other effect is produced on the visibility of an object1 by covering part of the object-glass1 than a small loss of illumination4 ,in other words1 the dimensions of the field of view of a ,galilean ,telescope depend on the size of the object-glass1 whereas in the astronomical ,telescope the field of view is independent of the size of the object-glass4 ,the difference may be readily tested4 ,if we direct an opera-glass upon any object1 we shall find that any covering placed over a part of the object-glass becomes visible when we look through the instrument1 interfering therefore pro tanto with the range of view4 ,a covering similarly placed on any part of the object-glass of an astronomical telescope does not become visible when we look through the instrument4 ,the distinction has a very important bearing on the theory of telescopic vision4 ,in considering the application of the telescope to practical observation1 the circumstance that in the ,galilean ,telescope no real image is formed1 is yet more important4 ,a real image admits of measurement1 linear or angular1 while to a virtual image 7such an image1 for instance1 as is formed by a common looking-glass7 no such process can be applied4 ,in simple observation the only noticeable effect of this difference is that1 whereas in the astronomical ,telescope a stop or diaphragm can be inserted in the tube so as to cut off what is called the ragged edge of the field of view 7which includes all the part not reached by full pencils of light from the object-glass71 there is no means of remedying the corresponding defect in the ,galilean ,telescope4 ,it would be a very annoying defect in a telescope intended for astronomical observation1 since in general the edge of the field of view is not perceptible at night4 ,the unpleasant nature of the defect may be seen by looking through an opera-glass1 and noticing the gradual fading away of light round the circumference of the field of view4 ,the properties of reflection as well as of refraction have been enlisted into the service of the astronomical observer4 ,the formation of an image by means of a concave mirror is exhibited in fig4 #c4 ,as the observer's head would be placed between the object and the mirror1 if the image1 formed as in fig4 #c1 were to be microscopically examined1 various devices are employed in the construction of reflecting telescopes to avoid the loss of light which would result--a loss which would be important even with the largest mirrors yet constructed4 ,thus1 in ,gregory's ,telescope1 a small mirror1 having its concavity towards the great one1 is placed in the axis of the tube and forms an image which is viewed through an aperture in the middle of the great mirror4 ,a similar plan is adopted in ,cassegrain's ,telescope1 a small convex mirror replacing the concave one4 ,in ,newton's ,telescope a small inclined-plane reflector is used1 which sends the pencil of light off at right-angles to the axis of the tube4 ,in ,herschel's ,telescope the great mirror is inclined so that the image is formed at a slight distance from the axis of the telescope4 ,in the two first cases the object is viewed in the usual or direct way1 the image being erect in ,gregory's and inverted in ,cassegrain's4 ,in the third the observer looks through the side of the telescope1 seeing an inverted image of the object4 ,in the last the observer sees the object inverted1 but not altered as respects right and left4 ,the last-mentioned method of viewing objects is the only one in which the observer's back is turned towards the object1 yet this method is called the front view--apparently quasi lucus a non lucendo4 ,illustration3 ,fig4 #c4 ,it appears1 then1 that in all astronomical ,telescopes1 reflecting or refracting1 a real image of an object is submitted to microscopical examination4 ,of this fact the possessor of a telescope may easily assure himself2 for if the eye-glass be removed1 and a small screen be placed at the focus of the object-glass1 there will appear upon the screen a small picture of any object towards which the tube is turned4 ,but the image may be viewed in another way which requires to be noticed4 ,if the eye1 placed at a distance of five or six inches from the image1 be directed down the tube1 the image will be seen as before2 in fact1 just as a single convex lens of short focus is the simplest microscope1 so a simple convex lens of long focus is the simplest telescope4#a ,but a singular circumstance will immediately attract the observer's notice4 ,a real picture1 or the image formed on the screen as in the former case1 can be viewed at varying distances2 but when we view the image directly1 it will be found that for distinct vision the eye must be placed almost exactly at a fixed distance from the image4 ,this peculiarity is more important than it might be thought at first sight4 ,in fact1 it is essential that the observer who would rightly apply the powers of his telescope1 or fairly test its performance1 should understand in what respect an image formed by an object-glass or object-mirror differs from a real object4 ,the peculiarities to be noted are the curvature1 indistinctness1 and false colouring of the image4 ,the curvature of the image is the least important of the three defects named--a fortunate circumstance1 since this defect admits neither of remedy nor modification4 ,the image of a distant object1 instead of lying in a plane1 that is1 forming what is technically called a flat field1 forms part of a spherical surface whose centre is at the centre of the object-glass4 ,hence the centre of the field of view is somewhat nearer to the eye than are the outer parts of the field4 ,the amount of curvature clearly depends on the extent of the field of view1 and therefore is not great in powerful telescopes4 ,thus1 if we suppose that the angular extent of the field is about half a degree 7a large or low-power field71 the centre is nearer than the boundary of the field by about #a-cbjth part only of the field's diameter4 ,the indistinctness of the image is partly due to the obliquity of the pencils which form parts of the image1 and partly to what is termed spherical aberration4 ,the first cause cannot be modified by the optician's skill1 and is not important when the field of view is small4 ,spherical aberration causes those parts of a pencil which fall near the boundary of a convex lens to converge to a nearer 7i4e4 shorter7 focus than those which fall near the centre4 ,this may be corrected by a proper selection of the forms of the two lenses which replace1 in all modern telescopes1 the single lens hitherto considered4 ,the false colouring of the image is due to chromatic aberration4 ,the pencil of light proceeding from a point1 converges1 not to one point1 but to a short line of varying colour4 ,thus a series of coloured images is formed1 at different distances from the object-glass4 ,so that1 if a screen were placed to receive the mean image in focus1 a coloured fringe due to the other images 7out of focus1 and therefore too large7 would surround the mean image4 ,newton supposed that it was impossible to get rid of this defect1 and therefore turned his attention to the construction of reflectors4 ,but the discovery that the dispersive powers of different glasses are not proportional to their reflective powers1 supplied opticians with the means of remedying the defect4 ,let us clearly understand what is the discovery referred to4 ,if with a glass prism of a certain form we produce a spectrum of the sun1 this spectrum will be thrown a certain distance away from the point on which the sun's rays would fall if not interfered with4 ,this distance depends on the refractive power of the glass4 ,the spectrum will have a certain length1 depending on the dispersive power of the glass4 ,now1 if we change our prism for another of exactly the same shape1 but made of a different kind of glass1 we shall find the spectrum thrown to a different spot4 ,if it appeared that the length of the new spectrum was increased or diminished in exactly the same proportion as its distance from the line of the sun's direct light1 it would have been hopeless to attempt to remedy chromatic aberration4 ,newton took it for granted that this was so4 ,but the experiments of ,hall and the ,dollonds showed that there is no such strict proportionality between the dispersive and refractive powers of different kinds of glass4 ,it accordingly becomes possible to correct the chromatic aberration of one glass by superadding that of another4 ,illustration3 ,fig4 #d4 ,this is effected by combining1 as shown in fig4 #d1 a convex lens of crown glass with a concave lens of flint glass1 the convex lens being placed nearest to the object4 ,a little colour still remains1 but not enough to interfere seriously with the distinctness of the image4 ,but even if the image formed by the object-glass were perfect1 yet this image1 viewed through a single convex lens of short focus placed as in fig4 #a1 would appear curved1 indistinct1 coloured1 and also distorted1 because viewed by pencils of light which do not pass through the centre of the eye-glass4 ,these effects can be diminished 7but not entirely removed together7 by using an eye-piece consisting of two lenses instead of a single eye-glass4 ,the two forms of eye-piece most commonly employed are exhibited in figs4 #e and #f4 ,fig4 #e is ,huyghens' eye-piece1 called also the negative eye-piece1 because a real image is formed behind the field-glass 7the lens which lies nearest to the object-glass74 ,fig4 #f represents ,ramsden's eye-piece1 called also the positive eye-piece1 because the real image formed by the object-glass lies in front of the field-glass4 ,illustration3 ,fig4 #e4 ,illustration3 ,fig4 #f4 ,the course of a slightly oblique pencil through either eye-piece is exhibited in the figures4 ,the lenses are usually plano-convex1 the convexities being turned towards the object-glass in the negative eye-piece1 and towards each other in the positive eye-piece4 ,coddington has shown1 however1 that the best forms for the lenses of the negative eye-piece are those shown in fig4 #e4 ,the negative eye-piece1 being achromatic1 is commonly employed in all observations requiring distinct vision only4 ,but as it is clearly unfit for observations requiring micrometrical measurement1 or reference to fixed lines at the focus of the object-glass1 the positive eye-piece is used for these purposes4 ,for observing objects at great elevations the diagonal eye-tube is often convenient4 ,its construction is shown in fig4 #g4 ,,abc is a totally reflecting prism of glass4 ,the rays from the object-glass fall on the face ,,ab1 are totally reflected on the face ,,bc1 and emerge through the face ,,ac4 ,in using this eye-piece1 it must be remembered that it lengthens the sliding eye-tube1 which must therefore be thrust further in1 or the object will not be seen in focus4 ,there is an arrangement by which the change of direction is made to take place between the two glasses of the eye-piece4 ,with this arrangement 7known as the diagonal eye-piece7 no adjustment of the eye-tube is required4 ,however1 for amateurs' telescopes the more convenient arrangement is the diagonal eye-tube1 since it enables the observer to apply any eye-piece he chooses1 just as with the simple sliding eye-tube4 ,illustration3 ,fig4 #g4 ,we come next to the important question of the mounting of our telescope4 ,the best known1 and1 in some respects1 the simplest method of mounting a telescope for general observation is that known as the altitude-and-azimuth mounting4 ,in this method the telescope is pointed towards an object by two motions1--one giving the tube the required altitude 7or elevation71 the other giving it the required azimuth 7or direction as respects the compass points74 ,for small alt-azimuths the ordinary pillar-and-claw stand is sufficiently steady4 ,for larger instruments other arrangements are needed1 both to give the telescope steadiness1 and to supply slow movements in altitude and azimuth4 ,the student will find no difficulty in understanding the arrangement of sliding-tubes and rack-work commonly adopted4 ,this arrangement seems to me to be in many respects defective1 however4 ,the slow movement in altitude is not uniform1 but varies in effect according to the elevation of the object observed4 ,it is also limited in range2 and quite a little series of operations has to be gone through when it is required to direct the telescope towards a new quarter of the heavens4 ,however expert the observer may become by practice in effecting these operations1 they necessarily take up some time 7performed as they must be in the dark1 or by the light of a small lantern71 and during this time it often happens that a favourable opportunity for observation is lost4 ,these disadvantages are obviated when the telescope is mounted in such a manner as is exhibited in fig4 #h1 which represents a telescope of my own construction4 ,the slow movement in altitude is given by rotating the rod he1 the endless screw in which turns the small wheel at b1 whose axle in turn bears a pinion-wheel working in the teeth of the quadrant a4 ,the slow movement in azimuth is given in like manner by rotating the rod h'e'1 the lantern-wheel at the end of which turns a crown-wheel on whose axle is a pinion-wheel working in the teeth of the circle c4 ,the casings at e and e'1 in which the rods he and h'e' respectively work1 are so fastened by elastic cords that an upward pressure on the handle h1 or a downward pressure on the handle h'1 at once releases the endless screw or the crown-wheel respectively1 so that the telescope can be swept at once through any desired angle in altitude or azimuth4 ,this method of mounting has other advantages2 the handles are conveniently situated and constant in position2 also1 as they do not work directly on the telescope1 they can be turned without setting the tube in vibration4 ,illustration3 ,fig4 #h4 ,i do not recommend the mounting to be exactly as shown in fig4 #h4 ,that method is much too expensive for an alt-azimuth4 ,but a simple arrangement of belted wheels in place of the toothed wheels a and c might very readily be prepared by the ingenious amateur telescopist2 and ,i feel certain that the comfort and convenience of the arrangement would amply repay him for the labour it would cost him4 ,my own telescope--though the large toothed-wheel and the quadrant were made inconveniently heavy 7through a mistake of the workman who constructed the instrument7--worked as easily and almost as conveniently as an equatorial4 ,still1 it is well for the observer who wishes systematically to survey the heavens--and who can afford the expense--to obtain a well-mounted equatorial4 ,in this method of mounting1 the main axis is directed to the pole of the heavens2 the other axis1 at right angles to the first1 carries the telescope-tube4 ,one of the many methods adopted for mounting equatorials is that exhibited--with the omission of some minor details--in fig4 #i4 a is the polar axis1 b is the axis 7called the declination axis7 which bears the telescope4 ,the circles c and d serve to indicate1 by means of verniers revolving with the axes1 the motion of the telescope in right ascension and declination1 respectively4 ,the weight w serves to counterpoise the telescope1 and the screws s1 s1 s1 s1 serve to adjust the instrument so that the polar axis shall be in its proper position4 ,the advantage gained by the equatorial method of mounting is that only one motion is required to follow a star4 ,owing to the diurnal rotation of the earth1 the stars appear to move uniformly in circles parallel to the celestial equator2 and it is clear that a star so moving will be kept in the field of view1 if the telescope1 once directed to the star1 be made to revolve uniformly and at a proper rate round the polar axis4 ,illustration3 ,fig4 #i4 ,the equatorial can be directed by means of the circles c and d to any celestial object whose right ascension and declination are known4 ,on the other hand1 to bring an object into the field of view of an alt-azimuth1 it is necessary1 either that the object itself should be visible to the naked eye1 or else that the position of the object should be pretty accurately learned from star-maps1 so that it may be picked up by the alt-azimuth after a little searching4 ,a small telescope called a finder is usually attached to all powerful telescopes intended for general observation4 ,the finder has a large field of view1 and is adjusted so as to have its axis parallel to that of the large telescope4 ,thus a star brought to the centre of the large field of the finder 7indicated by the intersection of two lines placed at the focus of the eye-glass7 is at1 or very near1 the centre of the small field of the large telescope4 ,if a telescope has no finder1 it will be easy for the student to construct one for himself1 and will be a useful exercise in optics4 ,two convex lenses not very different in size from those shown in fig4 #a1 and placed as there shown--the distance between them being the sum of the focal lengths of the two glasses--in a small tube of card1 wood1 or tin1 will serve the purpose of a finder for a small telescope4 ,it can be attached by wires to the telescope-tube1 and adjusted each night before commencing observation4 ,the adjustment is thus managed3--a low power being applied to the telescope1 the tube is turned towards a bright star2 this is easily effected with a low power2 then the finder is to be fixed1 by means of its wires1 in such a position that the star shall be in the centre of the field of the finder when also in the centre of the telescope's field4 ,when this has been done1 the finder will greatly help the observations of the evening2 since with high powers much time would be wasted in bringing an object into the field of view of the telescope without the aid of a finder4 ,yet more time would be wasted in the case of an object not visible to the naked eye1 but whose position with reference to several visible stars is known2 since1 while it is easy to bring the point required to the centre of the finder's field1 in which the guiding stars are visible1 it is very difficult to direct the telescope's tube on a point of this sort4 ,a card tube with wire fastenings1 such as we have described1 may appear a very insignificant contrivance to the regular observer1 with his well-mounted equatorial and carefully-adjusted finder4 ,but to the first attempts of the amateur observer it affords no insignificant assistance1 as ,i can aver from my own experience4 ,without it--a superior finder being wanting--our half-hours would soon be wasted away in that most wearisome and annoying of all employments1 trying to pick up celestial objects4 ,it behoves me at this point to speak of star-maps4 ,such maps are of many different kinds4 ,there are the ,observatory maps1 in which the places of thousands of stars are recorded with an amazing accuracy4 ,our beginner is not likely to make use of1 or to want1 such maps as these4 ,then there are maps merely intended to give a good general idea of the appearance of the heavens at different hours and seasons4 ,plate ,i4 presents four maps of this sort2 but a more complete series of eight maps has been published by ,messrs4 ,walton and ,maberly in an octavo work2 and my own ',constellation-,seasons' give1 at the same price1 twelve quarto maps 7of four of which those in ,plate ,i4 are miniatures71 showing the appearance of the sky at any hour from month to month1 or on any night1 at successive intervals of two hours4 ,but maps intermediate in character to these and to ,observatory maps are required by the amateur observer4 ,such are the ,society's six gnomonic maps1 the set of six gnomonic maps in ,johnstone's ',atlas of ,astronomy1' and my own set of twelve gnomonic maps4 ,the ,society's maps are a remarkably good set1 containing on the scale of a ten-inch globe all the stars in the ,catalogue of the ,astronomical ,society 7down to the fifth magnitude74 ,the distortion1 however1 is necessarily enormous when the celestial sphere is presented in only six gnomonic maps4 ,in my maps all the stars of the ,british ,association ,catalogue down to the fifth magnitude are included on the scale of a six-inch globe4 ,the distortion is scarcely a fourth of that in the ,society's maps4 ,the maps are so arranged that the relative positions of all the stars in each hemisphere can be readily gathered from a single view2 and black duplicate-maps serve to show the appearance of the constellations4 ,it is often convenient to make small maps of a part of the heavens we may wish to study closely4 ,my ',handbook of the ,stars' has been prepared to aid the student in the construction of such maps4 ,in selecting maps it is well to be able to recognise the amount of distortion and scale-variation4 ,this may be done by examining the spaces included between successive parallels and meridians1 near the edges and angles of the maps1 and comparing these either with those in the centre of the map1 or with the known figures and dimensions of the corresponding spaces on a globe4 ,we may now proceed to discuss the different tests which the intending purchaser of a telescope should apply to the instrument4 ,the excellence of an object-glass can be satisfactorily determined only by testing the performance of the telescope in the manner presently to be described4 ,but it is well to examine the quality of the glass as respects transparency and uniformity of texture4 ,bubbles1 scratches1 and other such defects1 are not very important1 since they do not affect the distinctness of the field as they would in a ,galilean ,telescope1--a little light is lost1 and that is all4 ,the same remark applies to dust upon the glass4 ,the glass should be kept as free as possible from dirt1 damp1 or dust1 but it is not advisable to remove every speck which1 despite such precaution1 may accidentally fall upon the object-glass4 ,when it becomes necessary to clean the glass1 it is to be noted that the substance used should be soft1 perfectly dry1 and free from dust4 ,silk is often recommended1 but some silk is exceedingly objectionable in texture1--old silk1 perfectly soft to the touch1 is perhaps as good as anything4 ,if the dust which has fallen on the glass is at all gritty1 the glass will suffer by the method of cleaning commonly adopted1 in which the dust is gathered up by pressure4 ,the proper method is to clean a small space near the edge of the glass1 and to sweep from that space as centre4 ,in this way the dust is pushed before the silk or wash-leather1 and does not cut the glass4 ,it is well always to suspect the presence of gritty dust1 and adopt this cautious method of cleaning4 ,the two glasses should on no account be separated4 ,in examining an eye-piece1 the quality of the glass should be noted1 and care taken that both glasses 7but especially the field-glass7 are free from the least speck1 scratch1 or blemish of any kind1 for these defects will be exhibited in a magnified state in the field of view4 ,hence the eye-pieces require to be as carefully preserved from damp and dust as the object-glass1 and to be more frequently cleaned4 ,the tube of the telescope should be light1 but strong1 and free from vibration4 ,its quality in the last respect can be tested by lightly striking it when mounted2 the sound given out should be dead or non-resonant4 ,the inside of the tube must absorb extraneous light1 and should therefore be coloured a dull black2 and stops of varying radius should be placed along its length with the same object4 ,sliding tubes1 rack-work1 etc41 should work closely1 yet easily4 ,the telescope should be well balanced for vision with the small astronomical eye-pieces4 ,but as there is often occasion to use appliances which disturb the balance1 it is well to have the means of at once restoring equilibrium4 ,a cord ring running round the tube 7pretty tightly1 so as to rest still when the tube is inclined71 and bearing a small weight1 will be all that is required for this purpose2 it must be slipped along the tube until the tube is found to be perfectly balanced4 ,nothing is more annoying than1 after getting a star well in the field1 to see the tube shift its position through defective balance1 and thus to have to search again for the star4 ,even with such an arrangement as is shown in fig4 #h1 though the tube cannot readily shift its position1 it is better to have it well balanced4 ,the quality of the stand has a very important influence on the performance of a telescope4 ,in fact1 a moderately good telescope1 mounted on a steady stand1 working easily and conveniently1 will not only enable the observer to pass his time much more pleasantly1 but will absolutely exhibit more difficult objects than a finer instrument on a rickety1 ill-arranged stand4 ,a good observing-chair is also a matter of some importance1 the least constraint or awkwardness of position detracting considerably from the power of distinct vision4 ,such1 at least1 is my own experience4 ,but the mere examination of the glasses1 tube1 mounting1 c41 is only the first step in the series of tests which should be applied to a telescope1 since the excellence of the instrument depends1 not on its size1 the beauty of its mounting1 or any extraneous circumstances1 but on its performance4 ,the observer should first determine whether the chromatic aberration is corrected4 ,to ascertain this the telescope should be directed to the moon1 or 7better7 to ,jupiter1 and accurately focussed for distinct vision4 ,if1 then1 on moving the eye-piece towards the object-glass1 a ring of purple appears round the margin of the object1 and on moving the eye-glass in the contrary direction a ring of green1 the chromatic aberration is corrected1 since these are the colours of the secondary spectrum4 ,to determine whether the spherical aberration is corrected1 the telescope should be directed towards a star of the third or fourth magnitude1 and focussed for distinct vision4 ,a cap with an aperture of about one-half its diameter should then be placed over the object-glass4 ,if no new adjustment is required for distinct vision1 the spherical aberration is corrected1 since the mean focal length and the focal length of the central rays are equal4 ,if1 when the cap is on1 the eye-piece has to be pulled out for distinct vision1 the spherical aberration has not been fully corrected2 if the eye-piece has to be pushed in1 the aberration has been over-corrected4 ,as a further test1 we may cut off the central rays1 by means of a circular card covering the middle of the object-glass1 and compare the focal length for distinct vision with the focal length when the cap is applied4 ,the extent of the spherical aberration may be thus determined2 but if the first experiment gives a satisfactory result1 no other is required4 ,a star of the first magnitude should next be brought into the field of view4 ,if an irradiation from one side is perceived1 part of the object-glass has not the same refractive power as the rest2 and the part which is defective can be determined by applying in different positions a cap which hides half the object-glass4 ,if the irradiation is double1 it will probably be found that the object-glass has been too tightly screwed1 and the defect will disappear when the glass is freed from such undue pressure4 ,if the object-glass is not quite at right angles to the axis of the tube1 or if the eye-tube is at all inclined1 a like irradiation will appear when a bright star is in the field4 ,the former defect is not easily detected or remedied2 nor is it commonly met with in the work of a careful optician4 ,the latter defect may be detected by cutting out three circular cards of suitable size with a small aperture at the centre of each1 and inserting one at each end of the eye-tube1 and one over the object-glass4 ,if the tube is rightly placed the apertures will of course lie in a right line1 so that it will be possible to look through all three at once4 ,if not1 it will be easy to determine towards what part of the object-glass the eye-tube is directed1 and to correct the position of the tube accordingly4 ,the best tests for determining the defining power of a telescope are close double or multiple stars1 the components of which are not very unequal4 ,the illuminating power should be tested by directing the telescope towards double or multiple stars having one or more minute components4 ,many of the nebul serve as tests both for illumination and defining power4 ,as we proceed we shall meet with proper objects for testing different telescopes4 ,for the present1 let the following list suffice4 ,it is selected from ,admiral ,smyth's tests1 obtained by diminishing the aperture of a #f-;in4 telescope having a focal length of #h-a_/b feet3 ,a two-inch aperture1 with powers of from #fj to #ajj1 should exhibit alpha ,piscium 7#ce74 delta ,cassiopei 7#ie71 mag4 7#d and #g-a_/b7 gamma ,leonis 7#cb74 ,polaris 7#ahf71 mag4 7#b-a_/b and #i-a_/b7 ,a four-inch1 powers #hj to #abj1 should exhibit xi ,urs ,majoris 7#bd74 sigma ,cassiopei 7#ca71 mag4 7#f and #h74 gamma ,ceti 7#bf74 delta ,geminorum 7#ga71 mag4 7#d and #i74 ,the tests in the first column are for definition1 those in the second for illumination4 ,it will be noticed that1 though in the case of ,polaris the smaller aperture may be expected to show the small star of less than the #ith magnitude1 a larger aperture is required to show the #hth magnitude component of sigma ,cassiopei1 on account of the greater closeness of this double4 ,in favourable weather the following is a good general test of the performance of a telescope3--,a star of the #crd or #dth magnitude at a considerable elevation above the horizon should exhibit a small well defined disc1 surrounded by two or three fine rings of light4 ,a telescope should not be mounted within doors1 if it can be conveniently erected on solid ground1 as every movement in the house will cause the instrument to vibrate unpleasantly4 ,further1 if the telescope is placed in a warm room1 currents of cold air from without will render observed objects hazy and indistinct4 ,in fact1 ,sir ,w4 ,herschel considered that a telescope should not even be erected near a house or elevation of any kind round which currents of air are likely to be produced4 ,if a telescope is used in a room1 the temperature of the room should be made as nearly equal as possible to that of the outer air4 ,when a telescope is used out of doors a 'dew-cap1' that is1 a tube of tin or pasteboard1 some ten or twelve inches long1 should be placed on the end of the instrument1 so as to project beyond the object-glass4 ,for glass is a good radiator of heat1 so that dew falls heavily upon it1 unless the radiation is in some way checked4 ,the dew-cap does this effectually4 ,it should be blackened within1 especially if made of metal4 ,after use1 says old ,kitchener1 the telescope should be kept in a warm place long enough for any moisture on the object-glass to evaporate4 ,if damp gets between the glasses it produces a fog 7which opticians call a sweat7 or even a seaweed-like vegetation1 by which a valuable glass may be completely ruined4 ,the observer should not leave to the precious hours of the night the study of the bearing and position of the objects he proposes to examine4 ,this should be done by day--an arrangement which has a twofold advantage1--the time available for observation is lengthened1 and the eyes are spared sudden changes from darkness to light1 and vice vers4 ,besides1 the eye is ill-fitted to examine difficult objects1 after searching by candle-light amongst the minute details recorded in maps or globes4 ,of the effect of rest to the eye we have an instance in ,sir ,j4 ,herschel's rediscovery of the satellites of ,uranus1 which he effected after keeping his eyes in darkness for a quarter of an hour4 ,kitchener1 indeed1 goes so far as to recommend 7with a crede experto7 an interval of sleep in the darkness of the observing-room before commencing operations4 ,i have never tried the experiment1 but ,i should expect it to have a bad rather than a good effect on the eyesight1 as one commonly sees the eyes of a person who has been sleeping in his day-clothes look heavy and bloodshot4 ,the object or the part of an object to be observed should be brought as nearly as possible to the centre of the field of view4 ,when there is no apparatus for keeping the telescope pointed upon an object1 the best plan is so to direct the telescope by means of the finder1 that the object shall be just out of the field of view1 and be brought 7by the earth's motion7 across the centre of the field4 ,thus the vibrations which always follow the adjustment of the tube will have subsided before the object appears4 ,the object should then be intently watched during the whole interval of its passage across the field of view4 ,it is important that the student should recognise the fact that the highest powers do not necessarily give the best views of celestial objects4 ,high powers in all cases increase the difficulty of observation1 since they diminish the field of view and the illumination of the object1 increase the motion with which 7owing to the earth's motion7 the image moves across the field1 and magnify all defects due to instability of the stand1 imperfection of the object-glass1 or undulation of the atmosphere4 ,a good object-glass of three inches aperture will in very favourable weather bear a power of about #cjj1 when applied to the observation of close double or multiple stars1 but for all other observations much lower powers should be used4 ,nothing but failure and annoyance can follow the attempt to employ the highest powers on unsuitable objects or in unfavourable weather4 ,the greatest care should be taken in focussing the telescope4 ,when high powers are used this is a matter of some delicacy4 ,it would be well if the eye-pieces intended for a telescope were so constructed that when the telescope is focussed for one1 this might be replaced by any other without necessitating any use of the focussing rack-work4 ,this could be readily effected by suitably placing the shoulder which limits the insertion of the eye-piece4 ,it will be found that1 even in the worst weather for observation1 there are instants of distinct vision 7with moderate powers7 during which the careful observer may catch sight of important details2 and1 similarly1 in the best observing weather1 there are moments of unusually distinct vision well worth patient waiting for1 since in such weather alone the full powers of the telescope can be employed4 ,the telescopist should not be deterred from observation by the presence of fog or haze1 since with a hazy sky definition is often singularly good4 ,the observer must not expect distinct vision of objects near the horizon4 ,objects near the eastern horizon during the time of morning twilight are especially confused by atmospheric undulations2 in fact1 early morning is a very unfavourable time for the observation of all objects4 ,the same rules which we have been applying to refractors1 serve for reflectors4 ,the performance of a reflector will be found to differ in some respects1 however1 from that of a refractor4 ,mr4 ,dawes is1 we believe1 now engaged in testing reflectors1 and his unequalled experience of refractors will enable him to pronounce decisively on the relative merits of the two classes of telescopes4 ,we have little to say respecting the construction of telescopes4 ,whether it is advisable or not for an amateur observer to attempt the construction of his own telescope is a question depending entirely on his mechanical ability and ingenuity4 ,my own experience of telescope construction is confined to the conversion of a #c-;feet into a #e-a_/b-;feet telescope4 ,this operation involved some difficulties1 since the aperture had to be increased by about an inch4 ,i found a tubing made of alternate layers of card and calico well pasted together1 to be both light and strong4 ,but for the full length of tube ,i think a core of metal is wanted4 ,a learned and ingenious friend1 ,mr4 ,sharp1 ,fellow of ,st4 ,john's ,college1 informs me that a tube of tin1 covered with layers of brown paper1 well pasted and thicker near the middle of the tube1 forms a light and strong telescope-tube1 almost wholly free from vibration4 ,suffer no inexperienced person to deal with your object-glass4 ,i knew a valuable glass ruined by the proceedings of a workman who had been told to attach three pieces of brass round the cell of the double lens4 ,what he had done remained unknown1 but ever after a wretched glare of light surrounded all objects of any brilliancy4 ,one word about the inversion of objects by the astronomical telescope4 ,it is singular that any difficulty should be felt about so simple a matter1 yet ,i have seen in the writings of more than one distinguished astronomer1 wholly incorrect views as to the nature of the inversion4 ,one tells us that to obtain the correct presentation from a picture taken with a telescope1 the view should be inverted1 held up to the light1 and looked at from the back of the paper4 ,another tells us to invert the picture and hold it opposite a looking-glass4 ,neither method is correct4 ,the simple correction wanted is to hold the picture upside down--the same change which brings the top to the bottom brings the right to the left1 i4e41 fully corrects the inversion4 ,in the case1 however1 of a picture taken by an ,herschelian reflector1 the inversion not being complete1 a different method must be adopted4 ,in fact1 either of the above-named processes1 incorrect for the ordinary astronomical1 would be correct for the ,herschelian ,telescope4 ,the latter inverts but does not reverse right and left2 therefore after inverting our picture we must interchange right and left because they have been reversed by the inversion4 ,this is effected either by looking at the picture from behind1 or by holding it up to a mirror4 ,illustration3 ,,plate ,,ii4 ,,chapter ,,ii4 ,a ,,half-,,hour ,,with ,,orion1 ,,lepus ,,taurus1 ,,etc4 ,any of the half-hours here assigned to the constellation-seasons may be taken first1 and the rest in seasonal or cyclic order4 ,the following introductory remarks are applicable to each3-- ,if we stand on an open space1 on any clear night1 we see above us the celestial dome spangled with stars1 apparently fixed in position4 ,but after a little time it becomes clear that these orbs are slowly shifting their position4 ,those near the eastern horizon are rising1 those near the western setting4 ,careful and continuous observation would show that the stars are all moving in the same way1 precisely1 as they would if they were fixed to the concave surface of a vast hollow sphere1 and this sphere rotated about an axis4 ,this axis1 in our latitude1 is inclined about #ea-a_/b to the horizon4 ,of course only one end of this imaginary axis can be above our horizon4 ,this end lies very near a star which it will be well for us to become acquainted with at the beginning of our operations4 ,it lies almost exactly towards the north1 and is raised from #ej to #ec 7according to the season and hour7 above the horizon4 ,there is an easy method of finding it4 ,we must first find the ,greater ,bear4 ,it will be seen from ,plate #a1 that on a spring evening the seven conspicuous stars of this constellation are to be looked for towards the north-east1 about half way between the horizon and the point overhead 7or zenith71 the length of the set of stars being vertical4 ,on a summer's evening the ,great ,bear is nearly overhead4 ,on an autumn evening he is towards the north-west1 the length of the set of seven being somewhat inclined to the horizon4 ,finally1 on a winter's evening1 he is low down towards the north1 the length of the set of seven stars being nearly in a horizontal direction4 ,having found the seven stars1 we make use of the pointers alpha and beta 7shown in ,plate #a7 to indicate the place of the ,pole-star1 whose distance from the pointer alpha is rather more than three times the distance of alpha from beta4 ,now stand facing the ,pole-star4 ,then all the stars are travelling round that star in a direction contrary to that in which the hands of a watch move4 ,thus the stars below the pole are moving towards the right1 those above the pole towards the left1 those to the right of the pole upwards1 those to the left of the pole downwards4 ,next face the south4 ,then all the stars on our left1 that is1 towards the east1 are rising slantingly towards the south2 those due south are moving horizontally to the right1 that is1 towards the west2 and those on our right are passing slantingly downwards towards the west4 ,it is important to familiarise ourselves with these motions1 because it is through them that objects pass out of the field of view of the telescope1 and by moving the tube in a proper direction we can easily pick up an object that has thus passed away1 whereas if we are not familiar with the varying motions in different parts of the celestial sphere1 we may fail in the attempt to immediately recover an object1 and waste time in the search for it4 ,the consideration of the celestial motions shows how advantageous it is1 when using an alt-azimuth1 to observe objects as nearly as possible due south4 ,of course in many cases this is impracticable1 because a phenomenon we wish to watch may occur when an object is not situated near the meridian4 ,but in examining double stars there is in general no reason for selecting objects inconveniently situated4 ,we can wait till they come round to the meridian1 and then observe them more comfortably4 ,besides1 most objects are higher1 and therefore better seen1 when due south4 ,northern objects1 and especially those within the circle of perpetual apparition1 often culminate 7that is1 cross the meridian1 or north and south line7 at too great a height for comfortable vision4 ,in this case we should observe them towards the east or west1 and remember that in the first case they are rising1 and in the latter they are setting1 and that in both cases they have also a motion from left to right4 ,if we allow an object to pass right across the field of view 7the telescope being fixed71 the apparent direction of its motion is the exact reverse of the true direction of the star's motion4 ,this will serve as a guide in shifting the alt-azimuth after a star has passed out of the field of view4 ,the following technical terms must be explained4 ,that part of the field of view towards which the star appears to move is called the preceding part of the field1 the opposite being termed the following part4 ,the motion for all stars1 except those lying in an oval space extending from the zenith to the pole of the heavens1 is more or less from right to left 7in the inverted field74 ,now1 if we suppose a star to move along a diameter of the field so as to divide the field into two semicircles1 then in all cases in which this motion takes places from right to left1 that semicircle which contains the lowest point 7apparently7 of the field is the northern half1 the other is the southern half4 ,over the oval space just mentioned the reverse holds4 ,thus the field is divided into four quadrants1 and these are termed north following 7n4f47 and south following 7s4f472 north preceding 7n4p471 and south preceding 7s4p474 ,the student can have no difficulty in interpreting these terms1 since he knows which is the following and which the preceding semicircle1 which the northern and which the southern4 ,in the figures of plates #c and #e1 the letters n4f41 n4p41 c41 are affixed to the proper quadrants4 ,it is to be remembered that the quadrants thus indicated are measured either way from the point and feather of the diametral arrows4 ,next1 of the apparent annual motion of the stars4 ,this takes place in exactly the same manner as the daily motion4 ,if we view the sky at eight o'clock on any day1 and again at the same hour one month later1 we shall find that at the latter observation 7as compared with the former7 the heavens appear to have rotated by the twelfth part of a complete circumference1 and the appearance presented is precisely the same as we should have observed had we waited for two hours 7the twelfth part of a day7 on the day of the first observation4 99 99 99 99 99 ,our survey of the heavens is supposed to be commenced during the first quarter of the year1 at ten o'clock on the #bjth of ,january1 or at nine on the #eth of ,february1 or at eight on the #aith of ,february1 or at seven on the #fth of ,march1 or at hours intermediate to these on intermediate days4 ,we look first for the ,great ,bear towards the north-east1 as already described1 and thence find the ,pole-star2 turning towards which we see1 towards the right and downwards1 the two guardians of the pole 7beta and gamma ,urs ,minoris74 ,immediately under the ,pole-star is the ,dragon's ,head1 a conspicuous diamond of stars4 ,just on the horizon is ,vega1 scintillating brilliantly4 ,overhead is the brilliant ,capella1 near which the ,milky ,way is seen passing down to the horizon on either side towards the quarters ,s4,s4,e4 and ,n4,n4,w4 ,for the present our business is with the southern heavens1 however4 ,facing the south1 we see a brilliant array of stars1 ,sirius unmistakeably overshining the rest4 ,orion is shining in full glory1 his leading brilliant1 ,betelgeuse#b being almost exactly on the meridian1 and also almost exactly half way between the horizon and the zenith4 ,in ,plate #b is given a map of this constellation and its neighbourhood4 ,let us first turn the tube on ,sirius4 ,it is easy to get him in the field without the aid of a finder4 ,the search will serve to illustrate a method often useful when a telescope has no finder4 ,having taking out the eye-piece--a low-power one1 suppose--direct the tube nearly towards ,sirius4 ,on looking through it1 a glare of light will be seen within the tube4 ,now1 if the tube be slightly moved about1 the light will be seen to wax and wane1 according as the tube is more or less accurately directed4 ,following these indications1 it will be found easy to direct the tube1 so that the object-glass shall appear full of light4 ,when this is done1 insert the eye-piece1 and the star will be seen in the field4 ,but the telescope is out of focus1 therefore we must turn the small focussing screw4 ,observe the charming chromatic changes--green1 and red1 and blue light1 purer than the hues of the rainbow1 scintillating and coruscating with wonderful brilliancy4 ,as we get the focus1 the excursions of these light flashes diminish until--if the weather is favourable--the star is seen1 still scintillating1 and much brighter than to the naked eye1 but reduced to a small disc of light1 surrounded 7in the case of so bright a star as ,sirius7 with a slight glare4 ,if after obtaining the focus the focussing rack work be still turned1 we see a coruscating image as before4 ,in the case of a very brilliant star these coruscations are so charming that we may be excused for calling the observer's attention to them4 ,the subject is not without interest and difficulty as an optical one4 ,but the astronomer's object is to get rid of all these flames and sprays of coloured light1 so that he has very little sympathy with the admiration which ,wordsworth is said to have expressed for out-of-focus views of the stars4 ,we pass to more legitimate observations1 noticing in passing that ,sirius is a double star1 the companion being of the tenth magnitude1 and distant about ten seconds from the primary4 ,but our beginner is not likely to see the companion1 which is a very difficult object1 vowing to the overpowering brilliancy of the primary4 ,orion affords the observer a splendid field of research4 ,it is a constellation rich in double and multiple stars1 clusters1 and nebul4 ,we will begin with an easy object4 ,the star delta 7,plate #c71 or ,mintaka1 the uppermost of the three stars forming the belt1 is a wide double4 ,the primary is of the second magnitude1 the secondary of the seventh1 both being white4 ,the star alpha 7,betelgeuse7 is an interesting object1 on account of its colour and brilliance1 and as one of the most remarkable variables in the heavens4 ,it was first observed to be variable by ,sir ,john ,herschel in #ahcf4 ,at this period its variations were most marked and striking4 ,this continued until #ahdj1 when the changes became much less conspicuous4 ,in ,january1 #ahdi1 they had recommenced1 and on ,december #eth1 #aheb1 ,mr4 ,fletcher observed alpha ,orionis brighter than ,capella1 and actually the largest star in the northern hemisphere4 ,that a star so conspicuous1 and presumably so large1 should present such remarkable variations1 is a circumstance which adds an additional interest to the results which have rewarded the spectrum-analysis of this star by ,mr4 ,huggins and ,professor ,miller4 ,it appears that there is decisive evidence of the presence in this luminary of many elements known to exist in our own sun2 amongst others are found sodium1 magnesium1 calcium1 iron1 and bismuth4 ,hydrogen appears to be absent1 or1 more correctly1 there are no lines in the star's spectrum corresponding to those of hydrogen in the solar spectrum4 ,secchi considers that there is evidence of an actual change in the spectrum of the star1 an opinion in which ,mr4 ,huggins does not coincide4 ,in the telescope ,betelgeuse appears as a rich and brilliant gem1 says ,lassell1 a rich topaz1 in hue and brilliancy differing from any that ,i have seen4 ,turn next to beta 7,rigel71 the brightest star below the belt4 ,this is a very noted double1 and will severely test our observer's telescope1 if small4 ,the components are well separated 7see ,plate #c71 compared with many easier doubles2 the secondary is also of the seventh magnitude1 so that neither as respects closeness nor smallness of the secondary1 is ,rigel a difficult object4 ,it is the combination of the two features which makes it a test-object4 ,kitchener says a #a-c_/d-;inch object-glass should show ,rigel double2 in earlier editions of his work he gave #b-c_/d-;inches as the necessary aperture4 ,smyth mentions ,rigel as a test for a #d-;inch aperture1 with powers of from #hj to #abj4 ,a #c-;inch aperture1 however1 will certainly show the companion4 ,rigel is an orange star1 the companion blue4 ,turn next to lambda the northernmost of the set of three stars in the head of ,orion4 ,this is a triple star1 though an aperture of #c inches will show it only as a double4 ,the components are #e apart1 the colours pale white and violet4 ,with the full powers of a #c-a_/b-;inch glass a faint companion may be seen above lambda4 ,the star zeta1 the lowest in the belt1 may be tried with a #c-a_/b-;inch glass4 ,it is a close double1 the components being nearly equal1 and about #b-a_/b apart 7see ,plate #c74 ,for a change we will now try our telescope on a nebula1 selecting the great nebula in the ,sword4 ,the place of this object is indicated in ,plate #b4 ,there can be no difficulty in finding it since it is clearly visible to the naked eye on a moonless night--the only sort of night on which an observer would care to look at nebul4 ,a low power should be employed4 ,the nebula is shown in ,plate #c as ,i have seen it with a #c-;inch aperture4 ,we see nothing of those complex streams of light which are portrayed in the drawings of ,herschel1 ,bond1 and ,lassell1 but enough to excite our interest and wonder4 ,what is this marvellous light-cloud8 ,one could almost imagine that there was a strange prophetic meaning in the words which have been translated ,canst thou loose the bands of ,orion8 ,telescope after telescope had been turned on this wonderful object with the hope of resolving its light into stars4 ,but it proved intractable to ,herschel's great reflector1 to ,lassell's #b-;feet reflector1 to ,lord ,rosse's #c-;feet reflector1 and even partially to the great #f-;feet reflector4 ,then we hear of its supposed resolution into stars1 ,lord ,rosse himself writing to ,professor ,nichol1 in #ahdf1 ,i may safely say there can be little1 if any1 doubt as to the resolvability of the nebula2--all about the trapezium is a mass of stars1 the rest of the nebula also abounding with stars1 and exhibiting the characteristics of resolvability strongly marked4 ,it was decided1 therefore1 that assuredly the great nebula is a congeries of stars1 and not a mass of nebulous matter as had been surmised by ,sir ,w4 ,herschel4 ,and therefore astronomers were not a little surprised when it was proved by ,mr4 ,huggins' spectrum-analysis that the nebula consists of gaseous matter4 ,how widely extended this gaseous universe may be we cannot say4 ,the general opinion is that the nebul are removed far beyond the fixed stars4 ,if this were so1 the dimensions of the ,orion nebula would be indeed enormous1 far larger probably than those of the whole system whereof our sun is a member4 ,i believe this view is founded on insufficient evidence1 but this would not be the place to discuss the subject4 ,i shall merely point out that the nebula occurs in a region rich in stars1 and if it is not1 like the great nebula in ,argo1 clustered around a remarkable star1 it is found associated in a manner which ,i cannot look upon as accidental with a set of small-magnitude stars1 and notably with the trapezium which surrounds that very remarkable black gap within the nebula4 ,the fact that the nebula shares the proper motion of the trapezium appears inexplicable if the nebula is really far out in space beyond the trapezium4 ,a very small proper motion of the trapezium 7alone7 would long since have destroyed the remarkable agreement in the position of the dark gap and the trapezium which has been noticed for so many years4 ,but whether belonging to our system or far beyond it1 the great nebula must have enormous dimensions4 ,a vast gaseous system it is1 sustained by what arrangements or forces we cannot tell1 nor can we know what purposes it subserves4 ,mr4 ,huggins' discovery that comets have gaseous nuclei1 7so far as the two he has yet examined show7 may suggest the speculation that in the ,orion nebula we see a vast system of comets travelling in extensive orbits around nuclear stars1 and so slowly as to exhibit for long intervals of time an unchanged figure4 ,but of such speculations we may say with ,sir ,j4 ,herschel there is no end4 ,to return to our telescopic observations3--,the trapezium affords a useful test for the light-gathering power of the telescope4 ,large instruments exhibit nine stars4 ,but our observer may be well satisfied with his instrument and his eye-sight if he can see five with a #c-a_/b-;inch aperture4#c ,a good #c-;inch glass shows four distinctly4 ,but with smaller apertures only three are visible4 ,the whole neighbourhood of the great nebula will well repay research4 ,the observer may sweep over it carefully on any dark night with profit4 ,above the nebula is the star-cluster #cfb ,h4 ,the star iota 7double as shown in ,plate #c7 below the nebula is involved in a strong nebulosity4 ,and in searching over this region we meet with delicate double1 triple1 and multiple stars1 which make the survey interesting with almost any power that may be applied4 ,above the nebula is the star sigma1 a multiple star4 ,to an observer with a good #c-a_/b-;inch glass sigma appears as an octuple star4 ,it is well seen1 however1 as a fine multiple star with a smaller aperture4 ,some of the stars of this group appear to be variable4 ,the star rho ,orionis is an unequal1 easy double1 the components being separated by nearly seven seconds4 ,the primary is orange1 the smaller star smalt-blue 7see ,plate #c74 ,the middle star of the belt 7epsilon7 has a distant blue companion4 ,this star1 like iota1 is nebulous4 ,in fact1 the whole region within the triangle formed by stars gamma1 kappa and beta is full of nebulous double and multiple stars1 whose aggregation in this region ,i do not consider wholly accidental4 ,we have not explored half the wealth of ,orion1 but leave much for future observation4 ,we must turn1 however1 to other constellations4 ,below ,orion is ,lepus1 the ,hare1 a small constellation containing some remarkable doubles4 ,among these we may note xi1 a white star with a scarlet companion2 gamma1 a yellow and garnet double2 and iota1 a double star1 white and pale violet1 with a distant red companion4 ,the star kappa ,leporis is a rather close double1 white with a small green companion4 ,the intensely red star ,r ,leporis 7a variable7 will be found in the position indicated in the map4 ,still keeping within the boundary of our map1 we may next turn to the fine cluster #b ,h 7vii47 in ,monoceros4 ,this cluster is visible to the naked eye1 and will be easily found4 ,the nebula #b ,h 7iv47 is a remarkable one with a powerful telescope4 ,the star #aa ,monocerotis is a fine triple star described by the elder ,herschel as one of the finest sights in the heavens4 ,our observer1 however1 will see it as a double 7see ,plate #c74 delta ,monocerotis is an easy double1 yellow and lavender4 ,we may now leave the region covered by the map and take a survey of the heavens for some objects well seen at this season4 ,towards the south-east1 high up above the horizon1 we see the twin-stars ,castor and ,pollux4 ,the upper is ,castor1 the finest double star visible in the northern heavens4 ,the components are nearly equal and rather more than #e apart 7see ,plate #c74 ,both are white according to the best observers1 but the smaller is thought by some to be slightly greenish4 ,pollux is a coarse but fine triple star 7in large instruments multiple74 ,the components orange1 grey1 and lilac4 ,there are many other fine objects in ,gemini1 but we pass to ,cancer4 ,the fine cluster ,prsepe in ,cancer may easily be found as it is distinctly visible to the naked eye in the position shown in ,plate #a1 ,map ,i4 ,in the telescope it is seen as shown in ,plate #c4 ,the star iota ,cancri is a wide double1 the colours orange and blue4 ,procyon1 the first-magnitude star between ,prsepe and ,sirius1 is finely coloured--yellow with a distant orange companion1 which appears to be variable4 ,below the ,twins1 almost in a line with them1 is the star alpha ,hydr1 called ,al ,fard1 or the ,solitary ,one4 ,it is a #bnd magnitude variable4 ,i mention it1 however1 not on its own account1 but as a guide to the fine double epsilon ,hydr4 ,this star is the middle one of a group of three1 lying between ,pollux and ,al ,fard rather nearer the latter4 ,the components of epsilon ,hydr are separated by about #c-a_/b 7see ,plate #c74 ,the primary is of the fourth1 the companion of the eighth magnitude2 the former is yellow1 the latter a ruddy purple4 ,the period of epsilon ,hydr is about #dej years4 ,the constellation ,leo ,minor1 now due east and about midway between the horizon and the zenith1 is well worth sweeping over4 ,it contains several fine fields4 ,let us next turn to the western heavens4 ,here there are some noteworthy objects4 ,to begin with1 there are the ,pleiades1 showing to the naked eye only six or seven stars4 ,in the telescope the ,pleiades appear as shown in ,plate #c4 ,the ,hyades also show some fine fields with low powers4 ,aldebaran1 the principal star of the ,hyades1 as also of the constellation ,taurus1 is a noted red star4 ,it is chiefly remarkable for the close spectroscopic analysis to which it has been subjected by ,messrs4 ,huggins and ,miller4 ,unlike ,betelgeuse1 the spectrum of ,aldebaran exhibits the lines corresponding to hydrogen1 and no less than eight metals--sodium1 magnesium1 calcium1 iron1 bismuth1 tellurium1 antimony1 and mercury1 are proved to exist in the constitution of this brilliant red star4 ,on the right of ,aldebaran1 in the position indicated in ,plate #a1 ,map ,i41 are the stars zeta and beta ,tauri4 ,if with a low power the observer sweep from zeta towards beta1 he will soon find--not far from zeta 7at a distance of about one-sixth of the distance separating beta from zeta71 the celebrated ,crab nebula1 known as #a ,m4 ,this was the first nebula discovered by ,messier1 and its discovery led to the formation of his catalogue of #ajc nebul4 ,in a small telescope this object appears as a nebulous light of oval form1 no traces being seen of the wisps and sprays of light presented in ,lord ,rosse's well known picture of the nebula4 ,here ,i shall conclude the labours of our first half-hour among the stars1 noticing that the examination of ,plate #a will show what other constellations besides those here considered are well situated for observation at this season4 ,it will be remarked that many constellations well seen in the third half-hour 7,chapter ,,iv47 are favourably seen in the first also1 and vice vers4 ,for instance1 the constellation ,ursa ,major well-placed towards the north-east in the first quarter of the year1 is equally well-placed towards the north-west in the third1 and similarly of the constellation ,cassiopeia4 ,the same relation connects the second and fourth quarters of the year4 ,illustration3 ,,plate ,,iii4 ,,chapter ,,iii4 ,a ,,half-,,hour ,,with ,,lyra1 ,,hercules1 ,,corvus1 ,,crater1 ,,etc4 ,the observations now to be commenced are supposed to take place during the second quarter of the year1--at ten o'clock on the #bjth of ,april1 or at nine on the #eth of ,may1 or at eight on the #bast of ,may1 or at seven on the #eth of ,june1 or at hours intermediate to these on intermediate days4 ,we again look first for the ,great ,bear1 now near the zenith1 and thence find the ,pole-star4 ,turning towards the north1 we see ,cassiopeia between the ,pole-star and the horizon4 ,towards the north-west is the brilliant ,capella1 and towards the north-east the equally brilliant ,vega1 beneath which1 and somewhat northerly1 is the cross in ,cygnus4 ,the ,milky ,way passes from the eastern horizon towards the north 7low down71 and so round to the western horizon4 ,in selecting a region for special observation1 we shall adopt a different plan from that used in the preceding half-hour4 ,the region on the equator and towards the south is indeed particularly interesting1 since it includes the nebular region in ,virgo4 ,within this space nebul are clustered more closely than over any corresponding space in the heavens1 save only the greater ,magellanic cloud4 ,but to the observer with telescopes of moderate power these nebul present few features of special interest2 and there are regions of the sky now well situated for observation1 which1 at most other epochs are either low down towards the horizon or inconveniently near to the zenith4 ,we shall therefore select one of these1 the region included in the second map of ,plate #b1 and the neighbouring part of the celestial sphere4 ,at any of the hours above named1 the constellation ,hercules lies towards the east4 ,a quadrant taken from the zenith to the eastern horizon passes close to the last star 7eta7 of the ,great ,bear's tail1 through beta1 a star in ,bootes' head1 near beta ,herculis1 between the two ,alphas which mark the heads of ,hercules and ,ophiuchus1 and so past beta ,ophiuchi1 a third-magnitude star near the horizon4 ,and here we may turn aside for a moment to notice the remarkable vertical row of six conspicuous stars towards the east-south-east2 these are1 counting them in order from the horizon1 zeta1 epsilon1 and delta ,ophiuchi1 epsilon1 alpha1 and delta ,serpentis4 ,let the telescope first be directed towards ,vega4 ,this orb presents a brilliant appearance in the telescope4 ,its colour is a bluish-white4 ,in an ordinary telescope ,vega appears as a single star1 but with a large object-glass two distant small companions are seen4 ,a nine-inch glass shows also two small companions within a few seconds of ,vega4 ,in the great ,harvard refractor ,vega is seen with no less than thirty-five companions4 ,i imagine that all these stars1 and others which can be seen in neighbouring fields1 indicate the association of ,vega with the neighbouring stream of the ,milky ,way4 ,let our observer now direct his telescope to the star epsilon ,lyr4 ,or rather1 let him first closely examine this star with the naked eye4 ,the star is easily identified1 since it lies to the left of ,vega1 forming with zeta a small equilateral triangle4 ,a careful scrutiny suffices to indicate a peculiarity in this star4 ,if our observer possesses very good eye-sight1 he will distinctly recognise it as a naked-eye double2 but more probably he will only notice that it appears lengthened in a north and south direction4#d ,in the finder the star is easily divided4 ,applying a low power to the telescope itself1 we see epsilon ,lyr as a wide double1 the line joining the components lying nearly north and south4 ,the southernmost component 7the upper in the figure7 is called epsilon#a1 the other epsilon#b4 ,seen as a double1 both components appear white4 ,now1 if the observer's telescope is sufficiently powerful1 each of the components may be seen to be itself double4 ,first try epsilon#a1 the northern pair4 ,the line joining the components is directed as shown in ,plate #c4 ,the distance between them is #cb1 their magnitudes #e and #f-a_/b1 and their colours yellow and ruddy4 ,if the observer succeeds in seeing epsilon#a fairly divided1 he will probably not fail in detecting the duplicity of epsilon#b1 though this is a rather closer pair1 the distance between the components being only #bf4 ,the magnitudes are #e and #e-a_/b1 both being white4 ,between epsilon#a and epsilon#b are three faint stars1 possibly forming with the quadruple a single system4 ,let us next turn to the third star of the equilateral triangle mentioned above--viz4 to the star zeta ,lyr4 ,this is a splendid but easy double4 ,it is figured in ,plate #c1 but it must be noticed that the figure of zeta and the other nine small figures are not drawn on the same scale as epsilon ,lyr4 ,the actual distance between the components of zeta ,lyra is #dd1 or about one-fourth of the distance separating epsilon#a from epsilon#b4 ,the components of zeta are very nearly equal in magnitude1 in colour topaz and green1 the topaz component being estimated as of the fifth magnitude1 the green component intermediate between the fifth and sixth magnitudes4 ,we may now turn to a star not figured in the map1 but readily found4 ,it will be noticed that the stars epsilon1 alpha1 beta1 and gamma form1 with two small stars towards the left1 a somewhat regular hexagonal figure--a hexagon1 in fact1 having three equal long sides and three nearly equal short sides alternating with the others4 ,the star eta ,lyr forms the angle next to epsilon4 ,it is a wide and unequal double1 as figured in ,plate #c4 ,the larger component is azure blue2 the smaller is violet1 and1 being only of the ninth magnitude1 is somewhat difficult to catch with apertures under #c inches4 ,the star delta#b ,lyr is orange1 delta#a blue4 ,in the same field with these are seen many other stars4 ,the stars gamma#a and gamma#b may also be seen in a single field1 the distance between them being about half the moon's mean diameter4 ,the former is quadruple1 the components being yellow1 bluish1 pale blue1 and blue4 ,turn next to the stars beta and gamma ,lyr1 the former a multiple1 the latter an unequal double star4 ,it is not1 however1 in these respects that these stars are chiefly interesting1 but for their variability4 ,the variability of gamma has not indeed been fully established1 though it is certain that1 having once been less bright1 gamma is now considerably brighter than beta4 ,the change1 however1 may be due to the variation of beta alone4 ,this star is one of the most remarkable variables known4 ,its period is #ab;d4 #ba;h4 #ecm4 #ajs4 ,in this time it passes from a maximum brilliancy--that of a star of the #cd magnitude--to a minimum lustre equal to that of a star of the #dc magnitude1 thence to the same maximum brilliancy as before1 thence to another minimum of lustre--that of a star of the #de magnitude--and so to its maximum lustre again1 when the cycle of changes recommences4 ,these remarkable changes seem to point to the existence of two unequal dark satellites1 whose dimensions bear a much greater proportion to those of the bright components of beta ,lyr than the dimensions of the members of the ,solar ,system bear to those of the sun4 ,in this case1 at any rate1 the conjecture hazarded about ,algol1 that the star revolves around a dark central orb1 would be insufficient to account for the observed variation4 ,nearly midway between beta and gamma lies the wonderful ring-nebula #eg ,m1 of which an imperfect idea will be conveyed by the last figure of ,plate #c4 ,this nebula was discovered in #aggb1 by ,darquier1 at ,toulouse4 ,it is seen as a ring of light with very moderate telescopic power4 ,in a good #c-a_/b-;inch telescope the nebula exhibits a mottled appearance and a sparkling light4 ,larger instruments exhibit a faint light within the ring2 and in ,lord ,rosse's great ,telescope wisps of stars are seen within1 and faint streaks of light stream from the outer border of the ring4 ,this nebula has been subjected to spectrum-analysis by ,mr4 ,huggins4 ,it turns out to be a gaseous nebula6 ,in fact1 ring-nebul--of which only seven have been detected--seem to belong to the same class as the planetary nebul1 all of which exhibit the line-spectrum indicative of gaseity4 ,the brightest of the three lines seen in the spectrum of the ring-nebula in ,lyra presents a rather peculiar appearance1 since it consists1 says ,mr4 ,huggins1 of two bright dots1 corresponding to sections of the ring1 and between these there is not darkness1 but an excessively faint line joining them4 ,this observation makes it probable that the faint nebulous matter occupying the central portion is similar in constitution to that of the ring4 ,the constellation ,hercules also contains many very interesting objects4 ,let us first inspect a nebula presenting a remarkable contrast with that just described4 ,i refer to the nebula #ac ,m1 known as ,halley's nebula 7,plate #c74 ,this nebula is visible to the naked eye1 and in a good telescope it is a most wonderful object3 perhaps no one ever saw it for the first time without uttering a shout of wonder4 ,it requires a very powerful telescope completely to resolve this fine nebula1 but the outlying streamers may be resolved with a good #c-;inch telescope4 ,sir ,w4 ,herschel considered that the number of the stars composing this wonderful object was at least #ad1jjj4 ,the accepted views respecting nebul would place this and other clusters far beyond the limits of our sidereal system1 and would make the component stars not very unequal 7on the average7 to our own sun4 ,it seems to me far more probable1 on the contrary1 that the cluster belongs to our own system1 and that its components are very much smaller than the average of separate stars4 ,perhaps the whole mass of the cluster does not exceed that of an average first-magnitude star4 ,the nebul #ib ,m and #ej ,h may be found1 after a little searching1 from the positions indicated in the map4 ,they are both well worthy of study1 the former being a very bright globular cluster1 the latter a bright and large round nebula4 ,the spectra of these1 as of the great cluster1 resemble the solar spectrum1 being continuous1 though1 of course1 very much fainter4 ,the star delta ,herculis 7seen at the bottom of the map7 is a wide and easy double--a beautiful object4 ,the components1 situated as shown in ,plate #c1 are of the fourth and eighth magnitude1 and coloured respectively greenish-white and grape-red4 ,the star kappa ,herculis is not shown in the map1 but may be very readily found1 lying between the two gammas1 gamma ,herculis and gamma ,serpentis 7see ,frontispiece1 ,map #b71 rather nearer the latter4 ,it is a wide double1 the components of fifth and seventh magnitude1 the larger yellowish-white1 the smaller ruddy yellow4#e ,ras ,algethi1 or alpha ,herculis1 is also beyond the limits of the map1 but may be easily found by means of ,map #b1 ,frontispiece4 ,it is1 properly speaking1 a multiple star4 ,considered as a double1 the arrangement of the components is that shown in ,plate #c4 ,the larger is of magnitude #c-a_/b1 the smaller of magnitude #e-a_/b2 the former orange1 the latter emerald4 ,the companion stars are small1 and require a good telescope to be well seen4 ,ras ,algethi is a variable1 changing from magnitude #c to magnitude #c-a_/b in a period of #ff-a_/c days4 ,the star rho ,herculis is a closer double4 ,the components are #cg apart1 and situated as shown in ,plate #c4 ,the larger is of magnitude #d1 the smaller #e-a_/b2 the former bluish-white1 the latter pale emerald4 ,there are other objects within the range of our map which are well worthy of study4 ,such are mu ,draconis1 a beautiful miniature of ,castor2 gamma#a and gamma#b ,draconis1 a wide double1 the distance between the components being nearly #fb 7both grey72 and gamma#a and gamma#b ,coron1 a naked-eye double1 the components being #f' apart1 and each double with a good #c-;inch telescope4 ,we turn1 however1 to another region of the sky4 ,low down1 towards the south is seen the small constellation ,corvus1 recognised by its irregular quadrilateral of stars4 ,of the two upper stars1 the left-hand one is ,algorab1 a wide double1 the components placed as in ,plate #c1 #bce apart1 the larger of magnitude #c1 the smaller #h-a_/b1 the colours pale yellow and purple4 ,there is a red star in this neighbourhood which is well worth looking for4 ,to the right of ,corvus is the constellation ,crater1 easily recognised as forming a tolerably well-marked small group4 ,the star ,alkes1 or alpha ,crateris1 must first be found4 ,it is far from being the brightest star in the constellation1 and may be assumed to have diminished considerably in brilliancy since it was entitled alpha by ,bayer4 ,it will easily be found1 however1 by means of the observer's star maps4 ,if now the telescope be directed to ,alkes1 there will be found1 following him at a distance of #dbe s1 and about one minute southerly1 a small red star1 ,r4 ,crateris4 ,like most red stars1 this one is a variable4 ,a somewhat smaller blue star may be seen in the same field4 ,there is another red star which may be found pretty easily at this season4 ,first find the stars eta and omicron ,leonis1 the former forming with ,regulus 7now lying towards the south-west1 and almost exactly midway between the zenith and the horizon7 the handle of the ,sickle in ,leo1 the other farther off from ,regulus towards the right1 but lower down4 ,now sweep from omicron towards eta with a low power4#f ,there will be found a sixth-magnitude star about one-fourth of the way from omicron to eta4 ,south1 following this1 will be found a group of four stars1 of which one is crimson4 ,this is the star ,r ,leonis4 ,like ,r ,crateris and ,r ,leporis it is variable4 ,next1 let the observer turn towards the south again4 ,above ,corvus1 in the position shown in the ,frontispiece1 there are to be seen five stars1 forming a sort of wide ,v with somewhat bowed legs4 ,at the angle is the star gamma ,virginis1 a noted double4 ,in #agef the components were #f-a_/b seconds apart4 ,they gradually approached till1 in #ahcf1 they could not be separated by the largest telescopes4 ,since then they have been separating1 and they are now #d-a_/b seconds apart1 situated as shown in ,plate #c4 ,they are nearly equal in magnitude 7#d71 and both pale yellow4 ,the star gamma ,leonis is a closer and more beautiful double4 ,it will be found above ,regulus1 and is the brightest star on the blade of the ,sickle4 ,the components are separated by about #c-a_/e seconds1 the larger of the second1 the smaller of the fourth magnitude2 the former yellow-orange1 the latter greenish-yellow4 ,lastly1 the star iota ,leonis may be tried4 ,it will be a pretty severe test for our observer's telescope1 the components being only #bd apart1 and the smaller scarcely exceeding the eighth magnitude4 ,the brighter 7fourth magnitude7 is pale yellow1 the other light blue4 ,,chapter ,,iv4 ,a ,,half-,,hour ,,with ,,bootes1 ,,scorpio1 ,,ophiuchus1 ,,etc4 ,we now commence a series of observations suited to the third quarter of the year1 and to the following hours3--,ten o'clock on the #bbnd of ,july2 nine on the #hth of ,august2 eight on the #bcrd of ,august2 seven on the #hth of ,october2 and intermediate hours on days intermediate to these4 ,we look first for the ,great ,bear towards the north-west1 and thence find the ,pole-star4 ,turning towards the north we see ,capella and beta ,aurig low down and slightly towards the left of the exact north point4 ,the ,milky ,way crosses the horizon towards the north-north-east and passes to the opposite point of the compass1 attaining its highest point above the horizon towards east-south-east4 ,this part of the ,milky ,way is well worth observing1 being marked by singular variations of brilliancy4 ,near ,arided 7the principal star of ,cygnus1 and now lying due east--some twenty-five degrees from the zenith7 there is seen a straight dark rift1 and near this space is another larger cavity1 which has been termed the northern ,coal-sack4 ,the space between gamma1 delta1 and beta ,cygni is covered by a large oval mass1 exceedingly rich and brilliant4 ,the neighbouring branch1 extending from epsilon ,cygni1 is far less conspicuous here1 but near ,sagitta becomes brighter than the other1 which in this neighbourhood suddenly loses its brilliancy and fading gradually beyond this point becomes invisible near beta ,ophiuchi4 ,the continuous stream becomes patchy--in parts very brilliant--where it crosses ,aquila and ,clypeus4 ,in this neighbourhood the other stream reappears1 passing over a region very rich in stars4 ,we see now the greatest extent of the ,milky ,way1 towards this part of its length1 ever visible in our latitudes--just as in spring we see its greatest extent towards ,monoceros and ,argo4 ,illustration3 ,,plate ,,iv4 ,i may note here in passing that ,sir ,john ,herschel's delineation of the northern portion of the ,milky ,way1 though a great improvement on the views given in former works1 seems to require revision1 and especially as respects the very remarkable patches and streaks which characterise the portion extending over ,cepheus and ,cygnus4 ,it seems to me1 also1 that the evidence on which it has been urged that the stars composing the ,milky ,way are 7on an average7 comparable in magnitude to our own sun1 or to stars of the leading magnitudes1 is imperfect4 ,i believe1 for instance1 that the brilliant oval of milky light in ,cygnus comes from stars intimately associated with the leading stars in that constellation1 and not far removed in space 7proportionately7 beyond them4 ,of course1 if this be the case1 the stars1 whose combined light forms the patch of milky light1 must be far smaller than the leading brilliants of ,cygnus4 ,however1 this is not the place to enter on speculations of this sort2 ,i return therefore to the business we have more immediately in hand4 ,towards the east is the square of ,pegasus low down towards the horizon4 ,towards the south is ,scorpio1 distinguished by the red and brilliant ,antares1 and by a train of conspicuous stars4 ,towards the west is ,bootes1 his leading brilliant--the ruddy ,arcturus--lying somewhat nearer the horizon than the zenith1 and slightly south of west4 ,bootes as a constellation is easily found if we remember that he is delineated as chasing away the ,greater ,bear4 ,thus at present he is seen in a slightly inclined position1 his head 7marked by the third-magnitude star beta7 lying due west1 some thirty degrees from the zenith4 ,it has always appeared to me1 by the way1 that ,bootes originally had nobler proportions than astronomers now assign to him4 ,it is known that ,canes ,venatici now occupy the place of an upraised arm of ,bootes1 and ,i imagine that ,corona ,borealis1 though undoubtedly a very ancient constellation1 occupies the place of his other arm4 ,giving to the constellation the extent thus implied1 it exhibits 7better than most constellations7 the character assigned to it4 ,one can readily picture to oneself the figure of a ,herdsman with upraised arms driving ,ursa ,major before him4 ,this view is confirmed1 ,i think1 by the fact that the ,arabs called this constellation the ,vociferator4 ,bootes contains many beautiful objects4 ,partly on this account1 and partly because this is a constellation with which the observer should be specially familiar1 a map of it is given in ,plate #d4 ,arcturus has a distant pale lilac companion1 and is in other respects a remarkable and interesting object4 ,it is of a ruddy yellow colour4 ,schmidt1 indeed1 considers that the star has changed colour of late years1 and that whereas it was once very red it is now a yellow star4 ,this opinion does not seem well grounded1 however4 ,the star may have been more ruddy once than now1 though no other observer has noticed such a peculiarity2 but it is certainly not a pure yellow star at present 7at any rate as seen in our latitude74 ,owing probably to the difference of colour between ,vega1 ,capella and ,arcturus1 photometricians have not been perfectly agreed as to the relative brilliancy of these objects4 ,some consider ,vega the most brilliant star in the northern heavens1 while others assign the superiority to ,capella4 ,the majority1 however1 consider ,arcturus the leading northern brilliant1 and in the whole heavens place three only before him1 viz41 ,sirius1 ,canopus1 and alpha ,centauri4 ,arcturus is remarkable in other respects4 ,his proper motion is very considerable1 so great in fact that since the time of ,ptolemy the southerly motion 7alone7 of ,arcturus has carried him over a space nearly half as great again as the moon's apparent diameter4 ,one might expect that so brilliant a star1 apparently travelling at a rate so great compared with the average proper motions of the stars1 must be comparatively near to us4 ,this1 however1 has not been found to be the case4 ,arcturus is1 indeed1 one of the stars whose distance it has been found possible to estimate roughly4 ,but he is found to be some three times as far from us as the small star #fa ,cygni1 and more than seven times as far from us as alpha ,centauri4 ,the star delta ,bootis is a wide and unequal double1 the smaller component being only of the ninth magnitude4 ,above ,alkaid the last star in the tail of the ,greater ,bear1 there will be noticed three small stars4 ,these are theta1 iota1 and kappa ,bootis1 and are usually placed in star-maps near the upraised hand of the ,herdsman4 ,the two which lie next to ,alkaid1 iota and kappa1 are interesting doubles4 ,the former is a wide double 7see ,plate #e71 the magnitudes of components #d and #h1 their colours yellow and white4 ,the larger star of this pair is itself double4 ,the star kappa ,bootis is not so wide a double 7see ,plate #e71 the magnitudes of the components #e and #h1 their colours white and faint blue--a beautiful object4 ,the star xi ,bootis is an exceedingly interesting object4 ,it is double1 the colours of the components being orange-yellow and ruddy purple1 their magnitudes #c-a_/b and #f-a_/b4 ,when this star was first observed by ,herschel in #aghj the position of the components was quite different from that presented in ,plate #e4 ,they were also much closer1 being separated by a distance of less than #c-a_/b seconds4 ,since that time the smaller component has traversed nearly a full quadrant1 its distance from its primary first increasing1 till in #ahca the stars were nearly #g-a_/b seconds apart1 and thence slowly diminishing1 so that at present the stars are less than #e seconds apart4 ,the period usually assigned to the revolution of this binary system is #aag years1 and the period of peri-astral passage is said to be #aggi4 ,it appears to me1 however1 that the period should be about #ajh years1 the epoch of last peri-astral passage #aggg and of next peri-astral passage1 therefore1 #ahhe4 ,the angular motion of the secondary round the primary is now rapidly increasing1 and the distance between the components is rapidly diminishing1 so that in a few years a powerful telescope will be required to separate the pair4 ,not far from xi is pi ,bootis1 represented in ,plate #e as a somewhat closer double1 but in reality--now at any rate--a slightly wider pair1 since the distance between the components of xi has greatly diminished of late4 ,both the components of pi are white1 and their magnitudes are #c-a_/b and #f4 ,we shall next turn to an exceedingly beautiful and delicate object1 the double star epsilon ,bootis1 known also as ,mirac and1 on account of its extreme beauty1 called ,pulcherrima by ,admiral ,smyth4 ,the components of this beautiful double are of the third and seventh magnitude1 the primary orange1 the secondary sea-green4 ,the distance separating the components is about #c seconds1 perhaps more2 it appears to have been slowly increasing during the past ten or twelve years4 ,smyth assigns to this system a period of revolution of #ihj years1 but there can be little doubt that the true period is largely in excess of this estimate4 ,observers in southern latitudes consider that the colours of the components are yellow and blue1 not orange and green as most of our northern observers have estimated them4 ,a little beyond the lower left-hand corner of the map is the star delta ,serpentis1 in the position shown in the ,frontispiece1 ,map #c4 ,this is the star which at the hour and season depicted in ,map #b formed the uppermost of a vertical row of stars1 which has now assumed an almost horizontal position4 ,the components of delta ,serpentis are about #c-a_/b seconds apart1 their magnitudes #c and #e1 both white4 ,the stars theta#a and theta#b ,serpentis form a wide double1 the distance between the components being #ba-a_/b seconds4 ,they are nearly equal in magnitude1 the primary being #d-a_/b1 the secondary #e4 ,both are yellow1 the primary being of a paler yellow colour than the smaller star4 ,but the observer may not know where to look for theta ,serpentis1 since it falls in a part of the constellation quite separated from that part in which delta ,serpentis lies4 ,in fact theta lies on the extreme easterly verge of the eastern half of the constellation4 ,it is to be looked for at about the same elevation as the brilliant ,altair1 and 7as to azimuth7 about midway between ,altair and the south4 ,the stars alpha#a and alpha#b ,libr form a wide double1 perhaps just separable by the naked eye in very favourable weather4 ,the larger component is of the third1 the smaller of the sixth magnitude1 the former yellow the latter light grey4 ,the star beta ,libr is a beautiful light-green star to the naked eye2 in the telescope a wide double1 pale emerald and light blue4 ,in ,scorpio there are several very beautiful objects3-- ,the star ,antares or ,cor ,scorpionis is one of the most beautiful of the red stars4 ,it has been termed the ,sirius of red stars1 a term better merited perhaps by ,aldebaran1 save for this that1 in our latitude1 ,antares is1 like ,sirius1 always seen as a brilliant scintillator 7because always low down71 whereas ,aldebaran rises high above the horizon4 ,antares is a double star1 its companion being a minute green star4 ,in southern latitudes the companion of ,antares may be seen with a good #d-;inch1 but in our latitudes a larger opening is wanted4 ,mr4 ,dawes once saw the companion of ,antares shining alone for seven seconds1 the primary being hidden by the moon4 ,he found that the colour of the secondary is not merely the effect of contrast1 but that this small star is really a green sun4 ,the star beta ,scorpionis is a fine double1 the components #aca apart1 their magnitudes #b and #e-a_/b1 colours white and lilac4 ,it has been supposed that this pair is only an optical double1 but a long time must elapse before a decisive opinion can be pronounced on such a point4 ,the star sigma ,scorpionis is a wider but much more difficult double1 the smaller component being below the #ith magnitude4 ,the colour of the primary 7#d7 is white1 that of the secondary maroon4 ,the star xi ,scorpionis is a neat double1 the components #gb apart1 their magnitudes #d-a_/b and #g-a_/b1 their colours white and grey4 ,this star is really triple1 a fifth-magnitude star lying close to the primary4 ,in ,ophiuchus1 a constellation covering a wide space immediately above ,scorpio1 there are several fine doubles4 ,among others-- #ci ,ophiuchi1 distance between components #aba1 their magnitudes #e-a_/b and #g-a_/b1 their colours orange and blue4 ,the star #gj ,ophiuchi1 a fourth-magnitude star on the right shoulder of ,ophiuchus1 is a noted double4 ,the distance between the components about #e-a_/b1 their magnitudes #d-a_/b and #g1 the colours yellow and red4 ,the pair form a system whose period of revolution is about #ie years4 #cf ,ophiuchi 7variable71 distance #eb1 magnitudes #d-a_/b and #f-a_/b1 colours red and yellow4 rho ,opiuchi1 distance #d1 colours yellow and blue1 magnitudes #e and #g4 ,between alpha and beta ,scorpionis the fine nebula #hj ,m may be looked for4 7,or more closely thus3--below beta is the wide ,double omega#a and omega#b ,scorpionis2 about as far to the right of ,antares is the star sigma ,scorpionis1 and immediately above this is the fifth-magnitude star #ai47 ,the nebula we seek lies between #ai and omega1 nearer to #ai 7about two-fifths of the way towards omega74 ,this nebula is described by ,sir ,w4 ,herschel as the richest and most condensed mass of stars which the firmament offers to the contemplation of astronomers4 ,there are two other objects conveniently situated for observation1 which the observer may now turn to4 ,the first is the great cluster in the sword-hand of ,perseus 7see ,plate #d71 now lying about #bh above the horizon between ,n4,e4 and ,n4,n4,e4 ,the stars gamma and delta ,cassiopei 7see ,map #c of ,frontispiece7 point towards this cluster1 which is rather farther from delta than delta from gamma1 and a little south of the produced line from these stars4 ,the cluster is well seen with the naked eye1 even in nearly full moonlight4 ,in a telescope of moderate power this cluster is a magnificent object1 and no telescope has yet revealed its full glory4 ,the view in ,plate #e gives but the faintest conception of the glories of chi ,persei4 ,sir ,w4 ,herschel tried in vain to gauge the depths of this cluster with his most powerful telescope4 ,he spoke of the most distant parts as sending light to us which must have started #djjj or #ejjj years ago4 ,but it appears improbable that the cluster has in reality so enormous a longitudinal extension compared with its transverse section as this view would imply4 ,on the contrary1 ,i think we may gather from the appearance of this cluster1 that stars are far less uniform in size than has been commonly supposed1 and that the mere irresolvability of a cluster is no proof of excessive distance4 ,it is unlikely that the faintest component of the cluster is farther off than the brightest 7a seventh-magnitude star7 in the proportion of more than about #bj to #ai1 while the ordinary estimate of star magnitudes1 applied by ,herschel1 gave a proportion of #bj or #cj to #a at least4 ,i can no more believe that the components of this cluster are stars greatly varying in distance1 but accidentally seen in nearly the same direction1 7or that they form an enormously long system turned by accident directly towards the earth71 than ,i could look on the association of several thousand persons in the form of a procession as a fortuitous arrangement4 ,next there is the great nebula in ,andromeda--known as the transcendantly beautiful queen of the nebul4 ,it will not be difficult to find this object4 ,the stars epsilon and delta ,cassiopei 7,map #c1 ,frontispiece7 point to the star beta ,andromed4 ,almost in a vertical line above this star are two fourth-magnitude stars mu and gamma1 and close above nu1 a little to the right1 is the object we seek--visible to the naked eye as a faint misty spot4 ,to tell the truth1 the transcendantly beautiful queen of the nebul is rather a disappointing object in an ordinary telescope4 ,there is seen a long oval or lenticular spot of light1 very bright near the centre1 especially with low powers4 ,but there is a want of the interest attaching to the strange figure of the ,great ,orion nebula4 ,the ,andromeda nebula has been partially resolved by ,lord ,rosse's great reflector1 and 7it is said7 more satisfactorily by the great refractor of ,harvard ,college4 ,in the spectroscope1 ,mr4 ,huggins informs us1 the spectrum is peculiar4 ,continuous from the blue to the orange1 the light there appears to cease very abruptly2 there is no indication of gaseity4 ,lastly1 the observer may turn to the pair ,mizar and ,alcor1 the former the middle star in the ,great ,bear's tail1 the latter #ae' off4 ,it seems quite clear1 by the way1 that ,alcor has increased in brilliancy of late1 since among the ,arabians it was considered an evidence of very good eyesight to detect ,alcor1 whereas this star may now be easily seen even in nearly full moonlight4 ,mizar is a double star1 and a fourth star is seen in the same field of view with the others 7see ,plate #e74 ,the distance between ,mizar and its companion is #add2 the magnitude of ,mizar #c1 of the companion #e2 their colours white and pale green1 respectively4 ,,chapter ,v4 ,a ,,half-,,hour ,,with ,,andromeda1 ,,cygnus1 ,,etc4 ,our last half-hour with the double stars1 c41 must be a short one1 as we have already nearly filled the space allotted to these objects4 ,the observations now to be made are supposed to take place during the fourth quarter of the year1--at ten o'clock on ,october #bcrd2 or at nine on ,november #gth2 or at eight on ,november #bbnd2 or at seven on ,december #fth2 or at hours intermediate to these on intermediate days4 ,we look first1 as in former cases1 for the ,great ,bear1 now lying low down towards the north4 ,towards the north-east1 a few degrees easterly1 are the twin-stars ,castor and ,pollux1 in a vertical position1 ,castor uppermost4 ,above these1 a little towards the right1 we see the brilliant ,capella2 and between ,capella and the zenith is seen the festoon of ,perseus4 ,cassiopeia lies near the zenith1 towards the north1 and the ,milky ,way extends from the eastern horizon across the zenith to the western horizon4 ,low down in the east is ,orion1 half risen above horizon4 ,turning to the south1 we see high up above the horizon the square of ,pegasus4 ,low down towards the south-south-west is ,fomalhaut1 pointed to by beta and alpha ,pegasi4 ,towards the west1 about half-way between the zenith and the horizon1 is the noble cross in ,cygnus2 below which1 towards the left1 we see ,altair1 and his companions beta and gamma ,aquil3 while towards the right we see the brilliant ,vega4 ,during this half-hour we shall not confine ourselves to any particular region of the heavens1 but sweep the most conveniently situated constellations4 ,illustration3 ,,plate ,v4 ,first1 however1 we should recommend the observer to try and get a good view of the great nebula in ,andromeda1 which is not conveniently situated for observation1 but is so high that after a little trouble the observer may expect a more distinct view than in the previous quarter4 ,he will see beta ,andromed towards the south-east1 about #ah from the zenith1 mu and nu nearly in a line towards the zenith1 and the nebula about half-way between beta and the zenith4 ,with a similar object it will be well to take another view of the great cluster in ,perseus1 about #ah from the zenith towards the east-north-east 7see the pointers gamma and delta ,cassiopei in ,map #d1 ,frontispiece71 the cluster being between delta ,cassiopei and alpha ,persei4 ,not very far off is the wonderful variable ,algol1 now due east1 and about #eh above the horizon4 ,the variability of this celebrated object was doubtless discovered in very ancient times1 since the name ,al-gol1 or the ,demon seems to point to a knowledge of the peculiarity of this slowly winking eye4 ,to ,goodricke1 however1 is due the rediscovery of ,algol's variability4 ,the period of variation is #b;d4 #bj;h4 #dhm42 during #b;h4 #adm4 ,algol appears of the second magnitude2 the remaining #f-c_/d hours are occupied by the gradual decline of the star to the fourth magnitude1 and its equally gradual return to the second4 ,it will be found easy to watch the variations of this singular object1 though1 of course1 many of the minima are attained in the daytime4 ,the following may help the observer3-- ,on ,october #hth1 #ahfg1 at about half-past eleven in the evening1 ,i noticed that ,algol had reached its minimum of brilliancy4 ,hence the next minimum was attained at about a quarter-past eight on the evening of ,october #aath2 the next at about five on the evening of ,october #adth1 and so on4 ,now1 if this process be carried on1 it will be found that the next evening minimum occurred at about #aj;h4 7circiter7 on the evening of ,october #cast1 the next at about #aa;h4 #cjm4 on the evening of ,november #bjth4 ,thus at whatever hour any minimum occurs1 another occurs six weeks and a day later1 at about the same hour4 ,this would be exact enough if the period of variation were exactly #b;d4 #bjm4 #dhs41 but the period is nearly a minute greater1 and as there are fifteen periods in six weeks and a day1 it results that there is a difference of about #acm4 in the time at which the successive recurrences at nearly the same hour take place4 ,hence we are able to draw up the two following ,tables1 which will suffice to give all the minima conveniently observable during the next two years4 ,starting from a minimum at about #aa;h4 #dem4 on ,november #bjth1 #ahfg1 and noticing that the next #dc-;day period 7with the #acm4 added7 gives us an observation at midnight on ,january #bnd1 #ahfh1 and that successive periods would make the hour later yet1 we take the minimum next after that of ,january #bnd1 viz4 that of ,january #eth1 #ahfh1 #h;h4 #dhm41 and taking #dc-;day periods 7with #acm4 added to each71 we get the series-- h4 m4 ,jan4 #e1 #ahfh1 #h #de ,p4,m4 ,feb4 #ag1 ----1 #h #eh ---- ,mar4 #ca1 ----1 #i #aa ---- ,may #ac1 ----1 #i #bd ---- ,june #be1 ----1 #i #cg ---- ,aug4 #g1 ----1 #i #ej ---- ,sept4 #ai1 ----1 #aj #c ---- ,nov4 #a ----1 #aj #af ---- ,dec4 #ad1 ----1 #aj #bi ---- ,jan4 #bf1 #ahfi1 #aj #db ---- ,mar4 #aj1 ----1 #aj #be ---- ,mar4 #ac1 ----1 #g #dc ----#g ,apr4 #be1 ----1 #g #ef ---- ,june #g1 ----1 #h #i ---- ,july #bj1 ----1 #h #bb ---- ,sept4 #a1 ----1 #h #ce ---- ,oct4 #ad1 ----1 #h #dh ---- ,nov4 #bf1 ----1 #i #a ---- ,jan4 #h1 #ahgj1 #i #ad ---- ,feb4 #bj1 ----1 #i #bg ---- ,from the minimum at about #aj ,p4,m4 on ,october #cast1 #ahfg1 we get in like manner the series-- h4 m4 ,dec4 #ac1 #ahfg1 #aj #ac ,p4,m4 ,jan4 #be1 #ahfh1 #aj #bf ---- ,mar4 #h1 ----1 #aj #ci ---- ,apr4 #bj1 ----1 #aj #eb ---- ,june #b1 ----1 #aa #e ---- ,june #e1 ----1 #g #ec ----#h ,july #ah1 ----1 #h #f ---- ,aug4 #cj1 ----1 #h #ai ---- ,oct4 #ab1 ----1 #h #cb ---- ,nov4 #bd1 ----1 #h #de ---- ,jan4 #f1 #ahfi1 #h #eh ---- ,feb4 #ah1 ----1 #i #aa ---- ,apr4 #b1 ----1 #i #bd ---- ,may #ae1 ----1 #i #cg ---- ,june #bg1 ----1 #i #ej ---- ,aug4 #i1 ----1 #aj #c ---- ,sept4 #ba1 ----1 #aj #af ---- ,nov4 #c1 ----1 #aj #bi ---- ,dec4 #af1 ----1 #aj #db ---- ,jan4 #bh1 #ahgj1 #aj #ee ---- ,from one or other of these tables every observable minimum can be obtained4 ,thus1 suppose the observer wants to look for a minimum during the last fortnight in ,august1 #ahfh4 ,the first table gives him no information1 the latter gives him a minimum at #h;h4 #aim4 ,p4,m4 on ,august #cj2 hence of course there is a minimum at #aa;h4 #cam4 ,p4,m4 on ,august #bg2 and there are no other conveniently observable minima during the fortnight in question4 ,the cause of the remarkable variation in this star's brilliancy has been assigned by some astronomers to the presence of an opaque secondary1 which transits ,algol at regular intervals2 others have adopted the view that ,algol is a luminous secondary1 revolving around an opaque primary4 ,of these views the former seems the most natural and satisfactory4 ,it points to a secondary whose mass bears a far greater proportion to that of the primary1 than the mass even of ,jupiter bears to the sun2 the shortness of the period is also remarkable4 ,it may be noticed that observation points to a gradual diminution in the period of ,algol's variation1 and the diminution seems to be proceeding more and more rapidly4 ,hence 7assuming the existence of a dark secondary7 we must suppose that either it travels in a resisting medium which is gradually destroying its motion1 or that there are other dependent orbs whose attractions affect the period of this secondary4 ,in the latter case the decrease in the period will attain a limit and be followed by an increase4 ,however1 interesting as the subject may be1 it is a digression from telescopic work1 to which we now return4 ,within the confines of the second map in ,plate #d is seen the fine star gamma ,andromed4 ,at the hour of our observations it lies high up towards ,e4,s4,e4 ,it is seen as a double star with very moderate telescopic power1 the distance between the components being upwards of #aj2 their magnitudes #c and #e-a_/b1 their colours orange and green4 ,perhaps there is no more interesting double visible with low powers4 ,the smaller star is again double in first-class telescopes1 the components being yellow and blue according to some observers1 but according to others1 both green4 ,below gamma ,andromed lie the stars beta and gamma ,triangulorum1 gamma a fine naked-eye triple 7the companions being delta and eta ,triangulorum71 a fine object with a very low power4 ,to the right is alpha ,triangulorum1 certainly less brilliant than beta4 ,below alpha are the three stars alpha1 beta1 and gamma ,arietis1 the first an unequal and difficult double1 the companion being purple1 and only just visible 7under favourable circumstances7 with a good #c-;inch telescope2 the last an easy double1 interesting as being the first ever discovered 7by ,hook1 in #affd71 the colours of components white and grey4 ,immediately below alpha ,arietis is the star alpha ,ceti1 towards the right of which 7a little lower7 is ,mira1 a wonderful variable4 ,this star has a period of #cca-a_/c days2 during a fortnight it appears as a star of the #bnd magnitude1--on each side of this fortnight there is a period of three months during one of which the star is increasing1 while during the other it is diminishing in brightness3 during the remaining five months of the period the star is invisible to the naked eye4 ,there are many peculiarities and changes in the variation of this star1 into which space will not permit me to enter4 ,immediately above ,mira is the star alpha ,piscium at the knot of the ,fishes' connecting band4 ,this is a fine double1 the distance between the components being about #c-a_/b1 their magnitudes #e and #f1 their colours pale green and blue 7see ,plate #e74 ,close to gamma ,aquarii 7see ,frontispiece1 ,map #d71 above and to the left of it1 is the interesting double zeta ,aquarii2 the distance between the components is about #c-a_/b1 their magnitudes #d and #d-a_/b1 both whitish yellow4 ,the period of this binary seems to be about #gej years4 ,turning next towards the south-west we see the second-magnitude star epsilon ,pegasi1 some #dj above the horizon4 ,this star is a wide but not easy double1 the secondary being only of the ninth magnitude2 its colour is lilac1 that of the primary being yellow4 ,towards the right of epsilon ,pegasi and lower down are seen the three fourth-magnitude stars which mark the constellation ,equuleus4 ,of these the lowest is alpha1 to the right of which lies epsilon ,equulei1 a fifth-magnitude star1 really triple1 but seen as a double star with ordinary telescopes 7,plate #e74 ,the distance between the components is nearly #aa1 their colours white and blue1 their magnitudes #e-a_/b and #g-a_/b4 ,the primary is a very close double1 which appears1 however1 to be opening out rather rapidly4 ,immediately below ,equuleus are the stars alpha#a and alpha#b ,capricorni1 seen as a naked-eye double to the right of and above beta4 ,both alpha#a and alpha#b are yellow2 alpha#b is of the #crd1 alpha#a of the #dth magnitude2 in a good telescope five stars are seen1 the other three being blue1 ash-coloured1 and lilac4 ,the star beta ,capricorni is also a wide double1 the components yellow and blue1 with many telescopic companions4 ,to the right of ,equuleus1 towards the west-south-west is the constellation ,delphinus4 ,the upper left-hand star of the rhombus of stars forming the head of the ,delphinus is the star gamma ,delphini1 a rather easy double 7see ,plate #e71 the components being nearly #ab apart1 their magnitudes #d and #g1 their colours golden yellow and flushed grey4 ,turn we next to the charming double ,albireo1 on the beak of ,cygnus1 about #cf above the horizon towards the west4 ,the components are #cd-a_/b apart1 their magnitudes #c and #f1 their colours orange-yellow1 and blue4 ,it has been supposed 7perhaps on insufficient evidence7 that this star is merely an optical double4 ,it must always be remembered that a certain proportion of stars 7amongst those separated by so considerable a distance7 must be optically combined only4 ,the star chi ,cygni is a wide double 7variable7 star4 ,the components are separated by nearly #bf1 their magnitudes #e and #i1 their colours yellow and light blue4 chi may be found by noticing that there is a cluster of small stars in the middle of the triangle formed by the stars gamma1 delta1 and beta ,cygni 7see ,map #d1 ,frontispiece71 and that chi is the nearest star of the cluster to beta4 ,the star phi ,cygni1 which is just above and very close to beta 7,albireo71 does not belong to the cluster4 chi is about half as far again from phi as phi from ,albireo4 ,but as chi descends to the #aath magnitude at its minimum the observer must not always expect to find it very easily4 ,it has been known to be invisible at the epoch when it should have been most conspicuous4 ,the period of this variable is #djf days4 ,the star #fa ,cygni is an interesting one4 ,so far as observation has yet extended1 it would seem to be the nearest to us of all stars visible in the northern hemisphere4 ,it is a fine double1 the components nearly equal 7#e-a_/b and #f71 both yellow1 and nearly #ai apart4 ,the period of this binary appears to be about #edj years4 ,to find #fa ,cygni note that epsilon and delta ,cygni form the diameter of a semicircle divided into two quadrants by alpha ,cygni 7,arided74 ,on this semicircle1 on either side of alpha1 lie the stars nu and alpha ,cygni1 nu towards epsilon4 ,now a line from alpha to nu produced passes very near to #fa ,cygni at a distance from nu somewhat greater than half the distance of nu from alpha4 ,the star mu ,cygni lies in a corner of the constellation1 rather farther from zeta than zeta from epsilon ,cygni4 ,a line from epsilon to zeta produced meets kappa ,pegasi1 a fourth-magnitude star2 and mu ,cygni1 a fifth-magnitude star1 lies close above kappa ,pegasi4 ,the distance between the components is about #e-a_/b1 their magnitudes #e and #f1 their colours white and pale blue4 ,the star psi ,cygni may next be looked for1 but for this a good map of ,cygnus will be wanted1 as psi is not pointed to by any well-marked stars4 ,a line from alpha1 parallel to the line joining gamma and delta1 and about one-third longer than that line1 would about mark the position of psi ,cygni4 ,the distance between the components of this double is about #c-a_/b1 their magnitudes #e-a_/b and #h1 their colours white and lilac4 ,lastly1 the observer may turn to the stars gamma#a and gamma#b ,draconis towards the north-west about #dj above the horizon 7they are included in the second map of ,plate #b74 ,they form a wide double1 having equal 7fifth-magnitude7 components1 both grey4 7,see ,plate #e47 ,,chapter ,,vi4 ,,half-,,hours ,,with ,,the ,,planets4 ,in observing the stars1 we can select a part of the heavens which may be conveniently observed2 and in this way in the course of a year we can observe every part of the heavens visible in our northern hemisphere4 ,but with the planets the case is not quite so simple4 ,they come into view at no fixed season of the year3 some of them can never be seen by night on the meridian2 and they all shift their place among the stars1 so that we require some method of determining where to look for them on any particular night1 and of recognising them from neighbouring fixed stars4 ,the regular observer will of course make use of the ',nautical ,almanac'2 but ',dietrichsen and ,hannay's ,almanac' will serve every purpose of the amateur telescopist4 ,i will briefly describe those parts of the almanac which are useful to the observer4 ,it will be found that three pages are assigned to each month1 each page giving different information4 ,if we call these pages ,i4 ,,ii4 ,,iii41 then in order that page ,i4 for each month may fall to the left of the open double page1 and also that ,i4 and ,,ii4 may be open together1 the pages are arranged in the following order3 ,i4 ,,ii4 ,,iii42 ,,iii4 ,i4 ,,ii42 ,i4 ,,ii4 ,,iii42 and so on4 ,now page ,,iii4 for any month does not concern the amateur observer4 ,it gives information concerning the moon's motions1 which is valuable to the sailor1 and interesting to the student of astronomy1 but not applicable to amateur observation4 ,illustration3 ,,plate ,,vi4 ,we have then only pages ,i4 and ,,ii4 to consider3-- ,across the top of both pages the right ascension and declination of the planets ,venus1 ,jupiter1 ,mars1 ,saturn1 ,mercury1 and ,uranus are given1 accompanied by those of two conspicuous stars4 ,this information is very valuable to the telescopist4 ,in the first place1 as we shall presently see1 it shows him what planets are well situated for observation1 and secondly it enables him to map down the path of any planet from day to day among the fixed stars4 ,this is a very useful exercise1 by the way1 and also a very instructive one4 ,the student may either make use of the regular maps and mark down the planet's path in pencil1 taking a light curve through the points given by the data in his almanac1 or he may lay down a set of meridians suited to the part of the heavens traversed by the planet1 and then proceed to mark in the planet's path and the stars1 taking the latter either from his maps or from a convenient list of stars4#i ,my ',handbook of the ,stars' has been constructed to aid the student in these processes4 ,it must be noticed that old maps are not suited for the work1 because1 through precession1 the stars are all out of place as respects ,r4,a4 and ,dec4 ,even the ,society's maps1 constructed so as to be right for #ahcj1 are beginning to be out of date4 ,but a matter of #bj or #cj years either way is not important4#aj ,my ,maps1 ,handbook and ,zodiac-chart have been constructed for the year #ahhj1 so as to be serviceable for the next fifty years or so4 ,next1 below the table of the planets1 we have a set of vertical columns4 ,these are1 in order1 the days of the month1 the calendar--in which are included some astronomical notices1 amongst others the diameter of ,saturn on different dates1 the hours at which the sun rises and sets1 the sun's right ascension1 declination1 diameter1 and longitude2 then eight columns which do not concern the observer2 after which come the hours at which the moon rises and sets1 the moon's age2 and lastly 7so far as the observer is concerned7 an important column about ,jupiter's system of satellites4 ,next1 we have1 at the foot of the first page1 the hours at which the planets rise1 south1 and set2 and at the foot of the second page we have the dates of conjunctions1 oppositions1 and of other phenomena1 the diameters of ,venus1 ,jupiter1 ,mars1 and ,mercury1 and finally a few words respecting the visibility of these four planets4 ,after the thirty-six pages assigned to the months follow four 7pp4 #db-df7 in which much important astronomical information is contained2 but the points which most concern our observer are 7i47 a small table showing the appearance of ,saturn's rings1 and 7ii47 a table giving the hours at which ,jupiter's satellites are occulted or eclipsed1 re-appear1 c4 ,we will now take the planets in the order of their distance from the sun3 we shall see that the information given by the almanac is very important to the observer4 ,mercury is so close to the sun as to be rarely seen with the naked eye1 since he never sets much more than two hours and a few minutes after the sun1 or rises by more than that interval before the sun4 ,it must not be supposed that at each successive epoch of most favourable appearance ,mercury sets so long after the sun or rises so long before him4 ,it would occupy too much of our space to enter into the circumstances which affect the length of these intervals4 ,the question1 in fact1 is not a very simple one4 ,all the necessary information is given in the almanac4 ,we merely notice that the planet is most favourably seen as an evening star in spring1 and as a morning star in autumn4#aa ,the observer with an equatorial has of course no difficulty in finding ,mercury1 since he can at once direct his telescope to the proper point of the heavens4 ,but the observer with an alt-azimuth might fail for years together in obtaining a sight of this interesting planet1 if he trusted to unaided naked-eye observations in looking for him4 ,copernicus never saw ,mercury1 though he often looked for him2 and ,mr4 ,hind tells me he has seen the planet but once with the naked eye--though this perhaps is not a very remarkable circumstance1 since the systematic worker in an observatory seldom has occasion to observe objects with the unaided eye4 ,by the following method the observer can easily pick up the planet4 ,across two uprights 7,fig4 #aj7 nail a straight rod1 so that when looked at from some fixed point of view the rod may correspond to the sun's path near the time of observation4 ,the rod should be at right-angles to the line of sight to its centre4 ,fasten another rod at right angles to the first4 ,from the point at which the rods cross measure off and mark on both rods spaces each subtending a degree as seen from the point of view4 ,thus1 if the point of view is #i-a_/b feet off1 these spaces must each be #b inches long1 and they must be proportionately less or greater as the eye is nearer or farther4 ,illustration3 ,fig4 #aj4 ,now suppose the observer wishes to view ,mercury on some day1 whereon ,mercury is an evening star4 ,take1 for instance1 ,june #ith1 #ahfh4 ,we find from ',dietrichsen' that on this day 7at noon7 ,mercury's ,r4,a4 is #f;h4 #ecm4 #bcs43 and the sun's #e;h4 #aam4 #cas4 ,we need not trouble ourselves about the odd hours after noon1 and thus we have ,mercury's ,r4,a4 greater than the sun's by #a;h4 #dam4 #ebs4 ,now we will suppose that the observer has so fixed his uprights and the two rods1 that the sun1 seen from the fixed point of view1 appears to pass the point of crossing of the rods at half-past seven1 then ,mercury will pass the cross-rod at #aam4 #ebs4 past nine4 ,but where8 ,to learn this we must take out ,mercury's declination1 which is #bd #dc' #ah ,n41 and the sun's1 which is #bb #ei' #aj ,n4 ,the difference1 #a #dd' #h ,n4 gives us ,mercury's place1 which it appears is rather less than #a-c_/d degree north of the sun4 ,thus1 about #a;h4 #dbm4 after the sun has passed the cross-rod1 ,mercury will pass it between the first and second divisions above the point of fastening4 ,the sun will have set about an hour1 and ,mercury will be easily found when the telescope is directed towards the place indicated4 ,it will be noticed that this method does not require the time to be exactly known4 ,all we have to do is to note the moment at which the sun passes the point of fastening of the two rods1 and to take our #a;h4 #dbm4 from that moment4 ,this method1 it may be noticed in passing1 may be applied to give naked-eye observations of ,mercury at proper seasons 7given in the almanac74 ,by a little ingenuity it may be applied as well to morning as to evening observations1 the sun's passage of the cross-rod being taken on one morning and ,mercury's on the next1 so many minutes before the hour of the first observation4 ,in this way several views of ,mercury may be obtained during the year4 ,such methods may appear very insignificant to the systematic observer with the equatorial1 but that they are effective ,i can assert from my own experience4 ,similar methods may be applied to determine from the position of a known object1 that of any neighbouring unknown object even at night4 ,the cross-rod must be shifted 7or else two cross-rods used7 when the unknown precedes the known object4 ,if two cross-rods are used1 account must be taken of the gradual diminution in the length of a degree of right ascension as we leave the equator4 ,even simpler methods carefully applied may serve to give a view of ,mercury4 ,to show this1 ,i may describe how ,i obtained my first view of this planet4 ,on ,june #ast1 #ahfc1 ,i noticed1 that at five minutes past seven the sun1 as seen from my study window1 appeared from behind the gable-end of ,mr4 ,st4 ,aubyn's house at ,stoke1 ,devon4 ,i estimated the effect of ,mercury's northerly declination 7different of course for a vertical wall1 than for the cross-rod in fig4 #h1 which1 in fact1 agrees with a declination-circle71 and found that he would pass out opposite a particular point of the wall a certain time after the sun4 ,i then turned the telescope towards that point1 and focussed for distinct vision of distant objects1 so that the outline of the house was seen out of focus4 ,as the calculated time of apparition approached1 ,i moved the telescope up and down so that the field swept the neighbourhood of the estimated point of apparition4 ,i need hardly say that ,mercury did not appear exactly at the assigned point1 nor did ,i see him make his first appearance2 but ,i picked him up so soon after emergence that the outline of the house was in the field of view with him4 ,he appeared as a half-disc4 ,i followed him with the telescope until the sun had set1 and soon after ,i was able to see him very distinctly with the naked eye4 ,he shone with a peculiar brilliance on the still bright sky2 but although perfectly distinct to the view when his place was indicated1 he escaped detection by the undirected eye4#ab ,mercury does not present any features of great interest in ordinary telescopes2 though he usually appears better defined than ,venus1 at least as the latter is seen on a dark sky4 ,the phases are pleasingly seen 7as shown in ,plate #f7 with a telescope of moderate power4 ,for their proper observation1 however1 the planet must be looked for with the telescope in the manner above indicated1 as he always shows a nearly semi-circular disc when he is visible to the naked eye4 ,we come next to ,venus1 the most splendid of all the planets to the eye4 ,in the telescope ,venus disappoints the observer1 however4 ,her intense lustre brings out every defect of the instrument1 and especially the chromatic aberration4 ,a dark glass often improves the view1 but not always4 ,besides1 an interposed glass has an unpleasant effect on the field of view4 ,perhaps the best method of observing ,venus is to search for her when she is still high above the horizon1 and when therefore the background of the sky is bright enough to take off the planet's glare4 ,the method ,i have described for the observation of ,mercury will prove very useful in the search for ,venus when the sun is above the horizon or but just set4 ,of course1 when an object is to be looked for high above the horizon1 the two rods which support the cross-rods must not be upright1 but square to the line of view to that part of the sky4 ,but the observer must not expect to see much during his observation of ,venus4 ,in fact1 he can scarcely do more than note her varying phases 7see ,plate #f7 and the somewhat uneven boundary of the terminator4 ,our leading observers have done so little with this fascinating but disappointing planet1 that amateurs must not be surprised at their own failure4 ,i suppose the question whether ,venus has a satellite1 or at any rate whether the object supposed to have been seen by ,cassini and other old observers were a satellite1 must be considered as decided in the negative4 ,that ,cassini should have seen an object which ,dawes and ,webb have failed to see must be considered utterly improbable4 ,leaving the inferior planets1 we come to a series of important and interesting objects4 ,first we have the planet ,mars1 nearly the last in the scale of planetary magnitude1 but far from being the least interesting of the planets4 ,it is in fact quite certain that we obtain a better view of ,mars than of any object in the heavens1 save the ,moon alone4 ,he may present a less distinguished appearance than ,jupiter or ,saturn1 but we see his surface on a larger scale than that of either of those giant orbs1 even if we assume that we ever obtain a fair view of their real surface4 ,nor need the moderately armed observer despair of obtaining interesting views of ,mars4 ,the telescope with which ,beer and ,mdler made their celebrated series of views was only a #d-;inch one1 so that with a #c-;inch or even a #b-;inch aperture the attentive observer may expect interesting views4 ,in fact1 more depends on the observer than on the instrument4 ,a patient and attentive scrutiny will reveal features which at the first view wholly escape notice4 ,in ,plate #f ,i have given a series of views of ,mars much more distinct than an observer may expect to obtain with moderate powers4 ,i add a chart of ,mars1 a miniature of one ,i have prepared from a charming series of tracings supplied me by ,mr4 ,dawes4 ,the views taken by this celebrated observer in #aheb1 #ahef1 #ahfj1 #ahfb1 and #ahfd1 are far better than any others ,i have seen4 ,the views by ,beer and ,mdler are good1 as are some of ,secchi's 7though they appear badly drawn71 ,nasmyth's and ,phillips'2 ,delarue's two views are also admirable2 and ,lockyer has given a better set of views than any of the others4 ,but there is an amount of detail in ,mr4 ,dawes' views which renders them superior to any yet taken4 ,i must confess ,i failed at a first view to see the full value of ,mr4 ,dawes' tracings4 ,faint marks appeared1 which ,i supposed to be merely intended to represent shadings scarcely seen4 ,a more careful study shewed me that every mark is to be taken as the representative of what ,mr4 ,dawes actually saw4 ,the consistency of the views is perfectly wonderful1 when compared with the vagueness and inconsistency observable in nearly all other views4 ,and this consistency is not shown by mere resemblance1 which might have been an effect rather of memory 7unconsciously exerted7 than observation4 ,the same feature changes so much in figure1 as it appears on different parts of the disc1 that it was sometimes only on a careful projection of different views that ,i could determine what certain features near the limb represented4 ,but when this had been done1 and the distortion through the effect of foreshortening corrected1 the feature was found to be as true in shape as if it had been seen in the centre of the planet's disc4 ,in examining ,mr4 ,dawes' drawings it was necessary that the position of ,mars' axis should be known4 ,the data for determining this were taken from ,dr4 ,oudemann's determinations given in a valuable paper on ,mars issued from ,mr4 ,bishop's observatory4 ,but instead of calculating ,mars' presentation by the formul there given1 ,i found it convenient rather to make use of geometrical constructions applied to my ',charts of the ,terrestrial ,planets4' ,taking ,mdler's start-point for ,martial longitudes1 that is the longitude-line passing near ,dawes' forked bay1 ,i found that my results agreed pretty fairly with those in ,prof4 ,phillips' map1 so far as the latter went2 but there are many details in my charts not found in ,prof4 ,phillips' nor in ,mdler's earlier charts4 ,i have applied to the different features the names of those observers who have studied the physical peculiarities presented by ,mars4 ,mr4 ,dawes' name naturally occurs more frequently than others4 ,indeed1 if ,i had followed the rule of giving to each feature the name of its discoverer1 ,mr4 ,dawes' name would have occurred much more frequently than it actually does4 ,on account of the eccentricity of his orbit1 ,mars is seen much better in some oppositions than in others4 ,when best seen the southern hemisphere is brought more into view than the northern because the summer of his northern hemisphere occurs when he is nearly in aphelion 7as is the case with the ,earth by the way74 ,the relative dimensions and presentation of ,mars1 as seen in opposition in perihelion1 and in opposition in aphelion1 are shown in the two rows of figures4 ,in and near quadrature ,mars is perceptibly gibbous4 ,he is seen thus about two months before or after opposition4 ,in the former case1 he rises late and comes to the meridian six hours or so after midnight4 ,in the latter case1 he is well seen in the evening1 coming to the meridian at six4 ,his appearance and relative dimensions as he passes from opposition to quadrature are shown in the last three figures of the upper row4 ,mars' polar caps may be seen with very moderate powers4 ,i add four sets of meridians 7,plate #f71 by filling in which from the charts the observer may obtain any number of views of the planet as it appears at different times4 ,passing over the asteroids1 which are not very interesting objects to the amateur telescopist1 we come to ,jupiter1 the giant of the solar system1 surpassing our ,earth more than #adjj times in volume1 and overweighing all the planets taken together twice over4 ,jupiter is one of the easiest of all objects of telescopic observation4 ,no one can mistake this orb when it shines on a dark sky1 and only ,venus can be mistaken for it when seen as a morning or evening star4 ,sometimes both are seen together on the twilight sky1 and then ,venus is generally the brighter4 ,seen1 however1 at her brightest and at her greatest elongation from the sun1 her splendour scarcely exceeds that with which ,jupiter shines when high above the southern horizon at midnight4 ,jupiter's satellites may be seen with very low powers2 indeed the outer ones have been seen with the naked eye1 and all are visible in a good opera-glass4 ,their dimensions relatively to the disc are shown in ,plate #g4 ,their greatest elongations are compared with the disc in the low-power view4 ,jupiter's belts may also be well seen with moderate telescopic power4 ,the outer parts of his disc are perceptibly less bright than the centre4 ,more difficult of observation are the transits of the satellites and of their shadows4 ,still the attentive observer can see the shadows with an aperture of two inches1 and the satellites themselves with an aperture of three inches4 ,the minute at which the satellites enter on the disc1 or pass off1 is given in ',dietrichsen's ,almanac4' ,the ',nautical ,almanac' also gives the corresponding data for the shadows4 ,the eclipses of the satellites in ,jupiter's shadow1 and their occultations by his disc1 are also given in ',dietrichsen's ,almanac4' ,in the inverting telescope the satellites move from right to left in the nearer parts of their orbit1 and therefore transit ,jupiter's disc in that direction1 and from left to right in the farther parts4 ,also note that before opposition1 7i47 the shadows travel in front of the satellites in transiting the disc2 7ii47 the satellites are eclipsed in ,jupiter's shadow2 7iii47 they reappear from behind his disc4 ,on the other hand1 after opposition1 7i47 the shadows travel behind the satellites in transiting the disc2 7ii47 the satellites are occulted by the disc2 7iii47 they reappear from eclipse in ,jupiter's shadow4 ,conjunctions of the satellites are common phenomena1 and may be waited for by the observer who sees the chance4 ,an eclipse of one satellite by the shadow of another is not a common phenomenon2 in fact1 ,i have never heard of such an eclipse being seen4 ,that a satellite should be quite extinguished by another's shadow is a phenomenon not absolutely impossible1 but which cannot happen save at long intervals4 ,the shadows are not black spots as is erroneously stated in nearly all popular works on astronomy4 ,the shadow of the fourth1 for instance1 is nearly all penumbra1 the really black part being quite minute by comparison4 ,the shadow of the third has a considerable penumbra1 and even that of the first is not wholly black4 ,these penumbras may not be perceptible1 but they affect the appearance of the shadows4 ,for instance1 the shadow of the fourth is perceptibly larger but less black than that of the third1 though the third is the larger satellite4 ,in transit the first satellite moves fastest1 the fourth slowest1 the others in their order4 ,the shadow moves just as fast 7appreciably7 as the satellite it belongs to4 ,sometimes the shadow of the satellite may be seen to overtake 7apparently7 the disc of another4 ,in such a case the shadow does not pass over the disc1 but the disc conceals the shadow4 ,this is explained by the fact that the shadow1 if visible throughout its length1 would be a line reaching slantwise from the satellite it belongs to1 and the end of the shadow 7that is1 the point where it meets the disc7 is not the point where the shadow crosses the orbit of any inner satellite4 ,thus the latter may be interposed between the end of the shadow--the only part of the shadow really visible--and the eye2 but the end of the shadow cannot be interposed between the satellite and the eye4 ,if a satellite on the disc were eclipsed by another satellite1 the black spot thus formed would be in another place from the black spot on the planet's body4 ,i mention all this because1 simple as the question may seem1 ,i have known careful observers to make mistakes on this subject4 ,a shadow is seen crossing the disc and overtaking1 apparently1 a satellite in transit4 ,it seems therefore1 on a first view1 that the shadow will hide the satellite1 and observers have even said that they have seen this happen4 ,but they are deceived4 ,it is obvious that if one satellite eclipse another1 the shadows of both must occupy the same point on ,jupiter's body4 ,thus it is the overtaking of one shadow by another on the disc1 and not the overtaking of a satellite by a shadow1 which determines the occurrence of that as yet unrecorded phenomenon1 the eclipse of one satellite by another4#ac ,the satellites when far from ,jupiter seem to lie in a straight line through his centre4 ,but as a matter of fact they do not in general lie in an exact straight line4 ,if their orbits could be seen as lines of light1 they would appear1 in general1 as very long ellipses4 ,the orbit of the fourth would frequently be seen to be quite clear of ,jupiter's disc1 and the orbit of the third might in some very exceptional instances pass just clear of the disc4 ,the satellites move most nearly in a straight line 7apparently7 when ,jupiter comes to opposition in the beginning of ,february or ,august1 and they appear to depart most from rectilinear motion when opposition occurs in the beginning of ,may and ,november4 ,at these epochs the fourth satellite may be seen to pass above and below ,jupiter's disc at a distance equal to about one-sixth of the disc's radius4 ,the shadows do not travel in the same apparent paths as the satellites themselves across the disc1 but 7in an inverting telescope7 below from ,august to ,january1 and above from ,february to ,july4 ,we come now to the most charming telescopic object in the heavens--the planet ,saturn4 ,inferior only to ,jupiter in mass and volume1 this planet surpasses him in the magnificence of his system4 ,seen in a telescope of adequate power1 ,saturn is an object of surpassing loveliness4 ,he must be an unimaginative man who can see ,saturn for the first time in such a telescope1 without a feeling of awe and amazement4 ,if there is any object in the heavens--,i except not even the ,sun--calculated to impress one with a sense of the wisdom and omnipotence of the ,creator it is this4 ,his fashioning hand is indeed visible throughout space1 but in ,saturn's system it is most impressively manifest4 ,saturn1 to be satisfactorily seen1 requires a much more powerful telescope than ,jupiter4 ,a good #b-;inch telescope will do much1 however1 in exhibiting his rings and belts4 ,i have never seen him satisfactorily myself with such an aperture1 but ,mr4 ,grover has not only seen the above-named features1 but even a penumbra to the shadow on the rings with a #b-;inch telescope4 ,saturn revolving round the sun in a long period--nearly thirty years--presents slowly varying changes of appearance 7see ,plate #g74 ,at one time the edge of his ring is turned nearly towards the earth2 seven or eight years later his rings are as much open as they can ever be2 then they gradually close up during a corresponding interval2 open out again1 exhibiting a different face2 and finally close up as first seen4 ,the last epoch of greatest opening occurred in #ahef1 the next occurs in #ahgj3 the last epoch of disappearance occurred in #ahfb-fc1 the next occurs in #ahgi4 ,the successive views obtained are as in ,plate #g in order from right to left1 then back to the right-hand figure 7but sloped the other way72 inverting the page we have this figure thus sloped1 and the following changes are now indicated by the other figures in order back to the first 7but sloped the other way and still inverted71 thus returning to the right-hand figure as seen without inversion4 ,the division in the ring can be seen in a good #b-;inch aperture in favourable weather4 ,the dark ring requires a good #d-;inch and good weather4 ,saturn's satellites do not1 like ,jupiter's1 form a system of nearly equal bodies4 ,titan1 the sixth1 is probably larger than any of ,jupiter's satellites4 ,the eighth also 7,japetus7 is a large body1 probably at least equal to ,jupiter's third satellite4 ,but ,rhea1 ,dione1 and ,tethys are much less conspicuous1 and the other three cannot be seen without more powerful telescopes than those we are here dealing with4 ,so far as my own experience goes1 ,i consider that the five larger satellites may be seen distinctly in good weather with a good #c-a_/b-;inch aperture4 ,i have never seen them with such an aperture1 but ,i judge from the distinctness with which these satellites may be seen with a #d-;inch aperture4 ,titan is generally to be looked for at a considerable distance from ,saturn--always when the ring is widely open4 ,japetus is to be looked for yet farther from the disc4 ,in fact1 when ,saturn comes to opposition in perihelion 7in winter only this can happen7 ,japetus may be as far from ,saturn as one-third of the apparent diameter of the moon4 ,i believe that under these circumstances1 or even under less favourable circumstances1 ,japetus could be seen with a good opera-glass4 ,so also might ,titan4 ,transits1 eclipses1 and occulations of ,saturn's satellites can only be seen when the ring is turned nearly edgewise towards the earth4 ,for the orbits of the seven inner satellites lying nearly in the plane of the rings would 7if visible throughout their extent7 then only appear as straight lines1 or as long ellipses cutting the planet's disc4 ,the belts on ,saturn are not very conspicuous4 ,a good #c-a_/b-;inch is required 7so far as my experience extends7 to show them satisfactorily4 ,the rings when turned edgewise either towards the earth or sun1 are not visible in ordinary telescopes1 neither can they be seen when the earth and sun are on opposite sides of the rings4 ,in powerful telescopes the rings seem never entirely to disappear4 ,the shadow of the planet on the rings may be well seen with a good #b-;inch telescope1 which will also show ,ball's division in the rings4 ,the shadow of the rings on the planet is a somewhat more difficult feature4 ,the shadow of the planet on the rings is best seen when the rings are well open and the planet is in or near quadrature4 ,it is to be looked for to the left of the ball 7in an inverting telescope7 at quadrature preceding opposition1 and to the right at quadrature following opposition4 ,saturn is more likely to be studied at the latter than at the former quadrature1 as in quadrature preceding opposition he is a morning star4 ,the shadow of the rings on the planet is best seen when the rings are but moderately open1 and ,saturn is in or near quadrature4 ,when the shadow lies outside the rings it is best seen1 as the dark ring takes off from the sharpness of the contrast when the shadow lies within the ring4 ,it would take more space than ,i can spare here to show how it is to be determined 7independently7 whether the shadow lies within or without the ring4 ,but the ',nautical ,almanac' gives the means of determining this point4 ,when1 in the table for assigning the appearance of the rings1 l is less than l' the shadow lies outside the ring1 when l is greater than l' the shadow lies within the ring4 ,uranus is just visible to the naked eye when he is in opposition1 and his place accurately known4 ,but he presents no phenomena of interest4 ,i have seen him under powers which made his disc nearly equal to that of the moon1 yet could see nothing but a faint bluish disc4 ,neptune also is easily found if his place be accurately noted on a map1 and a good finder used4 ,we have only to turn the telescope to a few stars seen in the finder nearly in the place marked in our map1 and presently we shall recognise the one we want by the peculiarity of its light4 ,what is the lowest power which will exhibit ,neptune as a disc ,i do not know1 but ,i am certain no observer can mistake him for a fixed star with a #b-;inch aperture and a few minutes' patient scrutiny in favourable weather4 ,illustration3 ,,plate ,,vii4 ,,chapter ,,vii4 ,,half-,,hours ,,with ,,the ,,sun ,,and ,,moon4 ,the moon perhaps is the easiest of all objects of telescopic observation4 ,a very moderate telescope will show her most striking features1 while each increase of power is repaid by a view of new details4 ,yet in one sense the moon is a disappointing object even to the possessor of a first-class instrument4 ,for the most careful and persistent scrutiny1 carried on for a long series of years1 too often fails to reward the observer by any new discoveries of interest4 ,our observer must therefore rather be prepared to enjoy the observation of recognised features than expect to add by his labours to our knowledge of the earth's nearest neighbour4 ,although the moon is a pleasing and surprising telescopic object when full1 the most interesting views of her features are obtained at other seasons4 ,if we follow the moon as she waxes or wanes1 we see the true nature of that rough and bleak mountain scenery1 which when the moon is full is partially softened through the want of sharp contrasts of light and shadow4 ,if we watch1 even for half an hour only1 the changing form of the ragged line separating light from darkness on the moon's disc1 we cannot fail to be interested4 ,the outlying and isolated peak of some great mountain-chain becomes gradually larger1 and is finally merged in the general luminous surface2 great circular spaces1 enclosed with rough and rocky walls many miles in diameter1 become apparent2 some with flat and perfectly smooth floors1 variegated with streaks2 others in which the flat floor is dotted with numerous pits or covered with broken fragments of rock4 ,occasionally a regularly-formed and unusually symmetrical circular formation makes its appearance2 the exterior surface of the wall bristling with terraces rising gradually from the plain1 the interior one much more steep1 and instead of a flat floor1 the inner space is concave or cup-shaped1 with a solitary peak rising in the centre4 ,solitary peaks rise from the level plains and cast their long narrow shadows athwart the smooth surface4 ,vast plains of a dusky tint become visible1 not perfectly level1 but covered with ripples1 pits1 and projections4 ,circular wells1 which have no surrounding wall dip below the plain1 and are met with even in the interior of the circular mountains and on the tops of their walls4 ,from some of the mountains great streams of a brilliant white radiate in all directions and can be traced for hundreds of miles4 ,we see1 again1 great fissures1 almost perfectly straight and of great length1 although very narrow1 which appear like the cracks in moist clayey soil when dried by the sun4#ad ,but interesting as these views may be1 it was not for such discoveries as these that astronomers examined the surface of the moon4 ,the examination of mere peculiarities of physical condition is1 after all1 but barren labour1 if it lead to no discovery of physical variation4 ,the principal charm of astronomy1 as indeed of all observational science1 lies in the study of change--of progress1 development1 and decay1 and specially of systematic variations taking place in regularly-recurring cycles4 ,and it is in this relation that the moon has been so disappointing an object of astronomical observation4 ,for two centuries and a half her face has been scanned with the closest possible scrutiny2 her features have been portrayed in elaborate maps2 many an astronomer has given a large portion of his life to the work of examining craters1 plains1 mountains1 and valleys1 for the signs of change2 but until lately no certain evidence--or rather1 no evidence save of the most doubtful character--has been afforded that the moon is other than a dead and useless waste of extinct volcanoes4 ,whether the examination of the remarkable spot called ,linn--where lately signs were supposed to have been seen of a process of volcanic eruption--will prove an exception to this rule1 remains to be seen4 ,the evidence seems to me strongly to favour the supposition of a change of some sort having taken place in this neighbourhood4 ,the sort of scrutiny required for the discovery of changes1 or for the determination of their extent1 is far too close and laborious to be attractive to the general observer4 ,yet the kind of observation which avails best for the purpose is perhaps also the most interesting which he can apply to the lunar details4 ,the peculiarities presented by a spot upon the moon are to be observed from hour to hour 7or from day to day1 according to the size of the spot7 as the sun's light gradually sweeps across it1 until the spot is fully lighted2 then as the moon wanes and the sun's light gradually passes from the spot1 the series of observations is to be renewed4 ,a comparison of them is likely--especially if the observer is a good artist and has executed several faithful delineations of the region under observation1 to throw much light upon the real contour of the moon's surface at this point4 ,in the two lunar views in ,plate #g some of the peculiarities ,i have described are illustrated4 ,but the patient observer will easily be able to construct for himself a set of interesting views of different regions4 ,it may be noticed that for observation of the waning moon there is no occasion to wait for those hours in which only the waning moon is visible during the night4 ,of course for the observation of a particular region under a particular illumination1 the observer has no choice as to hour4 ,but for generally interesting observations of the waning moon he can wait till morning and observe by daylight4 ,the moon is1 of course1 very easily found by the unaided eye 7in the day time7 when not very near to the sun2 and the methods described in ,chapter ,v4 will enable the observer to find the moon when she is so near to the sun as to present the narrowest possible sickle of light4 ,one of the most interesting features of the moon1 when she is observed with a good telescope1 is the variety of colour presented by different parts of her surface4 ,we see regions of the purest white--regions which one would be apt to speak of as snow-covered1 if one could conceive the possibility that snow should have fallen where 7now1 at least7 there is neither air nor water4 ,then there are the so-called seas1 large grey or neutral-tinted regions1 differing from the former not merely in colour and in tone1 but in the photographic quality of the light they reflect towards the earth4 ,some of the seas exhibit a greenish tint1 as the ,sea of ,serenity and the ,sea of ,humours4 ,where there is a central mountain within a circular depression1 the surrounding plain is generally of a bluish steel-grey colour4 ,there is a region called the ,marsh of ,sleep1 which exhibits a pale red tint1 a colour seen also near the ,hyrcinian mountains1 within a circumvallation called ,lichtenburg4 ,the brightest portion of the whole lunar disc is ,aristarchus1 the peaks of which shine often like stars1 when the mountain is within the unillumined portion of the moon4 ,the darkest regions are ,grimaldi and ,endymion and the great plain called ,plato by modern astronomers--but1 by ,hevelius1 the ,greater ,black ,lake4 ,the ,sun4--,observation of the sun is perhaps on the whole the most interesting work to which the possessor of a moderately good telescope can apply his instrument4 ,those wonderful varieties in the appearance of the solar surface which have so long perplexed astronomers1 not only supply in themselves interesting subjects of observation and examination1 but gain an enhanced meaning from the consideration that they speak meaningly to us of the structure of an orb which is the source of light and heat enjoyed by a series of dependent worlds whereof our earth is--in size at least--a comparatively insignificant member4 ,swayed by the attraction of this giant globe1 ,jupiter and ,saturn1 ,uranus and ,neptune1 as well as the four minor planets1 and the host of asteroids1 sweep continuously in their appointed orbits1 in ever new but ever safe and orderly relations amongst each other4 ,if the sun's light and heat were lost1 all life and work among the denizens of these orbs would at once cease2 if his attractive energy were destroyed1 these orbs would cease to form a system4 ,the sun may be observed conveniently in many ways1 some more suited to the general observer who has not time or opportunity for systematic observation2 others more instructive1 though involving more of preparation and arrangement4 ,the simplest method of observing the sun is to use the telescope in the ordinary manner1 protecting the eye by means of dark-green or neutral-tinted glasses4 ,some of the most interesting views ,i have ever obtained of the sun1 have resulted from the use of the ordinary terrestrial or erecting eye-piece1 capped with a dark glass4 ,the magnifying power of such an eye-piece is1 in general1 much lower than that available with astronomical eye-pieces4 ,but vision is very pleasant and distinct when the sun is thus observed1 and a patient scrutiny reveals almost every feature which the highest astronomical power applicable could exhibit4 ,then1 owing to the greater number of intervening lenses1 there is not the same necessity for great darkness or thickness in the coloured glass1 so that the colours of the solar features are seen much more satisfactorily than when astronomical eye-pieces are employed4 ,in using astronomical eye-pieces it is convenient to have a rotating wheel attached1 by which darkening glasses of different power may be brought into use as the varying illumination may require4 ,those who wish to observe carefully and closely a minute portion of the solar disc1 should employ ,dawes' eye-piece3 in this a metallic screen placed in the focus keeps away all light but such as passes through a minute hole in the diaphragm4 ,another convenient method of diminishing the light is to use a glass prism1 light being partially reflected from one of the exterior surfaces1 while the refracted portion is thrown out at another4 ,very beautiful and interesting views may be obtained by using such a pyramidal box as is depicted in fig4 #aa4 ,illustration3 ,fig4 #aa4 ,this box should be made of black cloth or calico fastened over a light framework of wire or cane4 ,the base of the pyramid should be covered on the inside with a sheet of white glazed paper1 or with some other uniform white surface4 ,captain ,noble1 ,i believe1 makes use of a surface of plaster of ,paris1 smoothed while wet with plate-glass4 ,the door b c enables the observer to change power without removing the box1 while larger doors1 d e and g f1 enable him to examine the image2 a dark cloth1 such as photographers use1 being employed1 if necessary1 to keep out extraneous light4 ,the image may also be examined from without1 if the bottom of the pyramid be formed of a sheet of cut-glass or oiled tissue-paper4 ,when making use of the method just described1 it is very necessary that the telescope-tube should be well balanced4 ,a method by which this may be conveniently accomplished has been already described in ,chapter ,i4 ,but1 undoubtedly1 for the possessor of a moderately good telescope there is no way of viewing the sun's features comparable to that now to be described1 which has been systematically and successfully applied for a long series of years by the ,rev4 ,f4 ,howlett4 ,to use his own words3 ,any one possessing a good achromatic of not more than three inches' aperture1 who has a little dexterity with his pencil1 and a little time at his disposal 7all the better if it be at a somewhat early hour of the morning7 may by this method deliberately and satisfactorily view1 measure1 and 7if skill suffice7 delineate most of those interesting and grand solar phenomena of which he may have read1 or which he may have seen depicted1 in various works on physical astronomy4#ae ,the method in question depends on the same property which is involved in the use of the pyramidal box just described1 supplemented 7where exact and systematic observation is required7 by the fact that objects lying on or between the lenses of the eye-piece are to be seen faithfully projected on the white surface on which the sun's image is received4 ,in place1 however1 of a box carried upon the telescope-tube1 a darkened room 7or true camera obscura7 contains the receiving sheet4 ,a chamber is to be selected1 having a window looking towards the south--a little easterly1 if possible1 so as to admit of morning observation4 ,all windows are to be completely darkened save one1 through which the telescope is directed towards the sun4 ,an arrangement is to be adopted for preventing all light from entering by this window except such light as passes down the tube of the telescope4 ,this can readily be managed with a little ingenuity4 ,mr4 ,howlett describes an excellent method4 ,the following1 perhaps1 will sufficiently serve the purposes of the general observer3--,a plain frame 7portable7 is to be constructed to fit into the window3 to the four sides of this frame triangular pieces of cloth 7impervious to light7 are to be attached1 their shape being such that when their adjacent edges are sewn together and the flaps stretched out1 they form a rectangular pyramid of which the frame is the base4 ,through the vertex of this pyramid 7near which1 of course1 the cloth flaps are not sewn together7 the telescope tube is to be passed1 and an elastic cord so placed round the ends of the flaps as to prevent any light from penetrating between them and the telescope4 ,it will now be possible1 without disturbing the screen 7fixed in the window71 to move the telescope so as to follow the sun during the time of observation4 ,and the same arrangement will serve for all seasons1 if so managed that the elastic cord is not far from the middle of the telescope-tube2 for in this case the range of motion is small compared to the range of the tube's extremity4 ,a large screen of good drawing-paper should next be prepared4 ,this should be stretched on a light frame of wood1 and placed on an easel1 the legs of which should be furnished with holes and pegs that the screen may be set at any required height1 and be brought square to the tube's axis4 ,a large ,t-square of light wood will be useful to enable the observer to judge whether the screen is properly situated in the last respect4 ,we wish now to direct the tube towards the sun1 and this without dazzling the eyes as by the ordinary method4 ,this may be done in two ways4 ,we may either1 before commencing work--that is1 before fastening our elastic cord so as to exclude all light--direct the tube so that its shadow shall be a perfect circle 7when of course it is truly directed71 then fasten the cord and afterwards we can easily keep the sun in the field by slightly shifting the tube as occasion requires4 ,or 7if the elastic cord has already been fastened7 we may remove the eye-tube and shift the telescope-tube about--the direction in which the sun lies being roughly known--until we see the spot of light received down the telescope's axis grow brighter and brighter and finally become a spot of sun-light4 ,if a card be held near the focus of the telescope there will be seen in fact an image of the sun4 ,the telescope being now properly directed1 the eye-tube may be slipped in again1 and the sun may be kept in the field as before4 ,there will now be seen upon the screen a picture of the sun very brilliant and pleasing1 but perhaps a little out of focus4 ,the focusing should therefore next be attended to1 the increase of clearness in the image being the test of approach to the true focus4 ,and again1 it will be well to try the effect of slight changes of distance between the screen and the telescope's eye-piece4 ,mr4 ,howlett considers one yard as a convenient distance for producing an excellent effect with almost any eye-piece that the state of the atmosphere will admit of4 ,of course1 the image becomes more sharply defined if we bring the screen nearer to the telescope1 while all the details are enlarged when we move the screen away4 ,the enlargement has no limits save those depending on the amount of light in the image4 ,but1 of course1 the observer must not expect enlargement to bring with it a view of new details1 after a certain magnitude of image has been attained4 ,still there is something instructive1 ,i think1 in occasionally getting a very magnified view of some remarkable spot4 ,i have often looked with enhanced feelings of awe and wonder on the gigantic image of a solar spot thrown by means of the diagonal eye-piece upon the ceiling of the observing-room4 ,blurred and indistinct through over-magnifying1 yet with a new meaning to me1 there the vast abysm lies pictured2 vague imaginings of the vast and incomprehensible agencies at work in the great centre of our system crowd unbidden into my mind2 and ,i seem to feel--not merely think about--the stupendous grandeur of that life-emitting orb4 ,to return1 however1 to observation3--,by slightly shifting the tube1 different parts of the solar disc can be brought successively upon the screen and scrutinized as readily as if they were drawn upon a chart4 ,with a power of--say about #fj or #hj linear--the most minute solar spot1 properly so called1 that is capable of formation 7,mr4 ,howlett believes they are never less than three seconds in length or breadth7 will be more readily detected than by any other method1 see ,plate #g2 as also will any facul1 mottling1 or in short1 any other phenomena that may then be existing on the disc4 ,drifting clouds frequently sweep by1 to vary the scene1 and occasionally an arial hail- or snow-storm4 ,mr4 ,howlett has more than once seen a distant flight of rooks pass slowly across the disc with wonderful distinctness1 when the sun has been at a low altitude1 and likewise1 much more frequently1 the rapid dash of starlings1 which1 very much closer at hand1 frequent his church-tower4 ,an eclipse of the sun1 or a transit of an inferior planet1 is also much better seen in this way than by any other method of observing the solar disc4 ,in ,plate #g are presented several solar spots as they have appeared to ,mr4 ,howlett1 with an instrument of moderate power4 ,the grotesque forms of some of these are remarkable2 and the variations the spots undergo from day to day are particularly interesting to the thoughtful observer4 ,a method of measuring the spots may now be described4 ,it is not likely indeed that the ordinary observer will care to enter upon any systematic series of measurements4 ,but even in his case1 the means of forming a general comparison between the spots he sees at different times cannot fail to be valuable4 ,also the knowledge--which a simple method of measurement supplies--of the actual dimensions of a spot in miles 7roughly7 is calculated to enhance our estimate of the importance of these features of the solar disc4 ,i give ,mr4 ,howlett's method in his own words3-- ,cause your optician to rule for you on a circular piece of glass a number of fine graduations1 the #bjjth part of an inch apart1 each fifth and tenth line being of a different length in order to assist the eye in their enumeration4 ,insert this between the anterior and posterior lenses of a ,huygenian eye-piece of moderate power1 say #hj linear4 ,direct your telescope upon the sun1 and having so arranged it that the whole disc of the sun may be projected on the screen1 count carefully the number of graduations that are seen to exactly occupy the solar diameter4444 ,it matters not in which direction you measure your diameter1 provided only the sun has risen some #ah or #bj above the horizon1 and so escaped the distortion occasioned by refraction4#af ,next let us suppose that our observer has been observing the sun on any day of the year1 say1 if you choose1 at the time of its mean apparent diameter1 namely about the first of ,april or first of ,october1 and has ascertained that 7as is the case with ,mr4 ,howlett's instrument7 sixty-four graduations occupy the diameter of the projected image4 ,now the semi-diameter of the sun1 at the epochs above mentioned1 according to the tables given for every day of the year in the ',nautical ,almanac' 7the same as in ,dietrichsen and ,hannay's very useful compilation7 is #af' #b1 and consequently his mean total diameter is #cb' #d or #aibd4 ,if now we divide #aibd by #fd this will1 of course1 award as nearly as possible #cj as the value in celestial arc of each graduation1 either as seen on the screen1 or as applied directly to the sun or any heavenly body large enough to be measured by it4 ,since the sun's diameter is about #hej1jjj miles1 each graduation 7in the case above specified7 corresponds to one-#fdth part of #hej1jjj miles--that is1 to a length of #ac1bef miles on the sun's surface4 ,any other case can be treated in precisely the same manner4 ,it will be found easy so to place the screen that the distance between successive graduations 7as seen projected upon the screen7 may correspond to any desired unit of linear measurement--say an inch4 ,then if the observer use transparent tracing-paper ruled with faint lines forming squares half-an-inch in size1 he can comfortably copy directly from the screen any solar phenomena he may be struck with4 ,a variety of methods of drawing will suggest themselves4 ,mr4 ,howlett1 in the paper ,i have quoted from above1 describes a very satisfactory method1 which those who are anxious to devote themselves seriously to solar observation will do well to study4 ,it is necessary that the observer should be able to determine approximately where the sun's equator is situated at the time of any observation1 in order that he may assign to any spot or set of spots its true position in relation to solar longitude and latitude4 ,mr4 ,howlett shows how this may be done by three observations of the sun made at any fixed hour on successive days4 ,perhaps the following method will serve the purpose of the general observer sufficiently well3-- ,the hour at which the sun crosses the meridian must be taken for the special observation now to be described4 ,this hour can always be learnt from ',dietrichsen's ,almanac'2 but noon1 civil time1 is near enough for practical purposes4 ,now it is necessary first to know the position of the ecliptic with reference to the celestial equator4 ,of course1 at noon a horizontal line across the sun's disc is parallel to the equator1 but the position of that diameter of the sun which coincides with the ecliptic is not constant3 at the summer and winter solstices this diameter coincides with the other1 or is horizontal at noon2 at the spring equinox the sun 7which travels on the ecliptic7 is passing towards the north of the equator1 crossing that curve at an angle of #bc-a_/b1 so that the ecliptic coincides with that diameter of the sun which cuts the horizontal one at an angle of #bc-a_/b and has its left end above the horizontal diameter2 and at the autumn equinox the sun is descending and the same description applies1 only that the diameter 7inclined #bc-a_/b to the horizon7 which has its right end uppermost1 now represents the ecliptic4 ,for intermediate dates1 use the following little table3-- ---------------------------------------- ---------------------------------- ,date4 ,dec4 #bb;,jan4 #e;,jan4 #bj;,feb4 #d;,feb4 #ai,mar4 #e ,mar4 #ba 7,circiter47 ,june #f,may #ba ,may #e ,apr4 #bj;,apr4 #e ---------------------------------------- --------------------------- ,inclination of ,left ,left ,left ,left ,left ,left ,left ,ecliptical ,diameter of ,sun to the #j #j' #fbd' #abad' #agc' #bjcf' #bbdd' #bcbg' ,horizon4#ag ,right ,right ,right ,right ,right ,right ,right ---------------------------------------- --------------------------- ,date4 ,dec4 #g,nov4 #bb,nov4 #g,oct4 #bc,oct4 #h 7,circiter47 ,jan4 #ba;,july #g;,july #bc;,aug4 #f;,aug4 #bc,sept4 #g,sept4 #bc ---------------------------------------- ---------------------------------- ,now if our observer describe a circle1 and draw a diameter inclined according to above table1 this diameter would represent the sun's equator if the axis of the sun were square to the ecliptic-plane4 ,but this axis is slightly inclined1 the effect of which is1 that on or about ,june #aj the sun is situated as shown in fig4 #ad with respect to the ecliptic ab2 on or about ,september #aa he is situated as shown in fig4 #ac2 on or about ,december #aa as shown in fig4 #ab2 and on or about ,march #aj as shown in fig4 #ae4 ,the inclination of his equator to the ecliptic being so small1 the student can find little difficulty in determining with sufficient approximation the relation of the sun's polar axis to the ecliptic on intermediate days1 since the equator is never more inclined than in figs4 #ab and #ad1 never more opened out than in figs4 #ac and #ae4 ,having then drawn a line to represent the sun's ecliptical diameter inclined to the horizontal diameter as above described1 and having 7with this line to correspond to ab in figs4 #ab-ae7 drawn in the sun's equator suitably inclined and opened out1 he has the sun's actual presentation 7at noon7 as seen with an erecting eye-piece4 ,holding his picture upside down1 he has the sun's presentation as seen with an astronomical eye-piece--and1 finally1 looking at his picture from behind 7without inverting it71 he has the presentation seen when the sun is projected on the screen4 ,hence1 if he make a copy of this last view of his diagram upon the centre of his screen1 and using a low power1 bring the whole of the sun's image to coincide with the circle thus drawn 7to a suitable scale7 on the screen1 he will at once see what is the true position of the different sun-spots4 ,after a little practice the construction of a suitably sized and marked circle on the screen will not occupy more than a minute or two4 ,illustration3 ,fig4 #ab4 ,illustration3 ,fig4 #ac4 ,illustration3 ,fig4 #ad4 ,illustration3 ,fig4 #ae4 ,it must be noticed that the sun's apparent diameter is not always the same4 ,he is nearer to us in winter than in summer1 and1 of course1 his apparent diameter is greater at the former than at the latter season4 ,the variation of the apparent diameter corresponds 7inversely7 to the variation of distance4 ,as the sun's greatest distance from the earth is #ic1jjj1jjj miles 7pretty nearly7 and his least #ij1jjj1jjj1 his greatest1 mean1 and least apparent diameters are as #ic1 #ia-a_/b1 and #ij respectively2 that is1 as #fb1 #fa1 and #fj respectively4 ,mr4 ,howlett considers that with a good #c-;inch telescope1 applied in the manner we have described1 all the solar features may be seen1 except the separate granules disclosed by first-class instruments in the hands of such observers as ,dawes1 ,huggins1 or ,secchi4 ,facul may1 of course1 be well seen4 ,they are to be looked for near spots which lie close to the sun's limb4 ,when the sun's general surface is carefully scrutinised1 it is found to present a mottled appearance4 ,this is a somewhat delicate feature4 ,it results1 undoubtedly1 from the combined effect of the granules separately seen in powerful instruments4 ,sir ,john ,herschel has stated that he cannot recognise the marbled appearance of the sun with an achromatic4 ,mr4 ,webb1 however1 has seen this appearance with such a telescope1 of moderate power1 used with direct vision2 and certainly ,i can corroborate ,mr4 ,howlett in the statement that this appearance may be most distinctly seen when the image of the sun is received within a well-darkened room4 ,my space will not permit me to enter here upon the discussion of any of those interesting speculations which have been broached concerning solar phenomena4 ,we may hope that the great eclipse of ,august1 #ahfh1 which promises to be the most favourable 7for effective observation7 that has ever taken place1 will afford astronomers the opportunity of resolving some important questions4 ,it seems as if we were on the verge of great discoveries1--and certainly1 if persevering and well-directed labour would seem in any case to render such discoveries due as man's just reward1 we may well say that he deserves shortly to reap a harvest of exact knowledge respecting solar phenomena4 ,,the ,,end4 ,,footnotes3 ,footnote #a3 ,such a telescope is most powerful with the shortest sight4 ,it may be remarked that the use of a telescope often reveals a difference in the sight of the two eyes4 ,in my own case1 for instance1 ,i have found that the left eye is very short-sighted1 the sight of the right eye being of about the average range4 ,accordingly with my left eye a #e-a_/b-;foot object-glass1 alone1 forms an effective telescope1 with which ,i can see ,jupiter's moons quite distinctly1 and under favourable circumstances even ,saturn's rings4 ,i find that the full moon is too bright to be observed in this way without pain1 except at low altitudes4 ,footnote #b3 ,betelgeuse--commonly interpreted the ,giant's ,shoulder--ibt-al-jauza4 ,the words1 however1 really signify1 the armpit of the central one1 ,orion being so named because he is divided centrally by the equator4 ,footnote #c3 ,i have never been able to see more than four with a #c-c_/d-;inch aperture4 ,i give a view of the trapezium as seen with an #h-;inch equatorial4 ,footnote #d3 ,sir ,w4 ,herschel several times saw epsilon ,lyr as a double4 ,bessel also relates that when he was a lad of thirteen he could see this star double4 ,i think persons having average eye-sight could see it double if they selected a suitable hour for observation4 ,my own eye-sight is not good enough for this1 but ,i can distinctly see this star wedged whenever the line joining the components is inclined about #de to the horizon1 and also when ,lyra is near the zenith4 ,footnote #e3 ,they were so described by ,admiral ,smyth in #ahci4 ,mr4 ,main1 in #ahfb1 describes them as straw-coloured and reddish1 while ,mr4 ,webb1 in #ahfe1 saw them pale-yellow and lilac6 ,footnote #f3 ,or the observer may sweep from omicron towards nu1 looking for ,r about two-fifths of the way from omicron to nu4 ,footnote #g3 ,here a single period only is taken1 to get back to a convenient hour of the evening4 ,footnote #h3 ,here a single period only is taken1 to get back to a convenient hour of the evening4 ,footnote #i3 ,i have constructed a zodiac-chart1 which will enable the student to mark in the path of a planet1 at any season of the year1 from the recorded places in the almanacs4 ,footnote #aj3 ,it is convenient to remember that through precession a star near the ecliptic shifts as respects the ,r4,a4 and ,dec4 lines1 through an arc of one degree--or nearly twice the moon's diameter--in about #gb years1 all other stars through a less arc4 ,footnote #aa3 ,mercury is best seen when in quadrature to the sun1 but not 7as ,i have seen stated7 at those quadratures in which he attains his maximum elongation from the sun4 ,this will appear singular1 because the maximum elongation is about #bg1 the minimum only about #ah4 ,but it happens that in our northern latitudes ,mercury is always south of the sun when he attains his maximum elongation1 and this fact exercises a more important effect than the mere amount of elongation4 ,footnote #ab3 ,it does not seem to me that the difficulty of detecting ,mercury is due to the difficulty of identifying it amongst the surrounding stars1 during the short time that it can be seen 7,hind's ',introduction to ,astronomy'74 ,there are few stars which are comparable with ,mercury in brilliancy1 when seen under the same light4 ,footnote #ac3 ,i may notice another error sometimes made4 ,it is said that the shadow of a satellite appears elliptical when near the edge of the disc4 ,the shadow is in reality elliptical when thus situated1 but appears circular4 ,a moment's consideration will show that this should be so4 ,the part of the disc concealed by a satellite near the limb is also elliptical1 but of course appears round4 ,footnote #ad3 ,from a paper by ,mr4 ,breen1 in the ',popular ,science ,review1' ,october1 #ahfd4 ,footnote #ae3 ',intellectual ,observer' for ,july1 #ahfg1 to which magazine the reader is referred for full details of ,mr4 ,howlett's method of observation1 and for illustrations of the appliances he made use of1 and of some of his results4 ,footnote #af3 ,as the sun does not attain such an altitude as #ah during two months in the year1 it is well to notice that the true length of the sun's apparent solar diameter is determinable even immediately after sun-rise1 if the line of graduation is made to coincide with the horizontal diameter of the picture on the screen--for refraction does not affect the length of this diameter4 ,footnote #ag3 ,the words ,left and ,right indicate which end of the sun's ecliptical diameter is uppermost at the dates in upper or lower row respectively4 ,,london3 ,,printed ,,by ,w4 ,,clowes ,,and ,,sons1 ,,duke ,,street1 ,,stamford ,,street1 ,,and ,,charing ,,cross4