---------------------------------------- ---------------------------------------- -------------------------- ,transcrib]'s note3 ,words 9 ,italic are enclos$ betwe5 und]scores4 ---------------------------------------- ---------------------------------------- -------------------------- ,,! ,,sid]eal ,,mess5g] ,,riv+tons ,london ,wat]loo ,place ,ox=d ,magdal5 ,/reet ,cambridge ,tr9ity ,/reet ,illu/ration3 ,,galileo',s ,,brok5 ,,l5s4 ,,exhibit$ ,,9 ,,! ,,loan ,,collection ,,( ,,sci5tific ,,app>atus ,,at ,,! ,,s\? ,,k5s+ton ,,museum1 #ahgf4 ,f a photograph ( ! ,sci5ce & ,art ,dep>tm5t1 ,s\? ,k5s+ton4 ,,! ,,sid]eal ,,mess5g] ,,( ,,galileo ,,galilei ,,& ,a ,,"p ,,( ,,! ,,preface ,,to ,,kepl]',s ,,dioptrics ,,conta9+ ,,! ,,orig9al ,,acc\nt ,,( ,,galileo',s ,,a/ronomical ,,discov]ies4 ,a ,translation ) ,introduction & ,notes ,,by ,,edw>d ,,/af=d ,,c>los1 ,m4,a4 ,,head ,,ma!matical ,,ma/] ,,9 ,,*ri/',s ,,hospital4 ,,riv+tons ,,wat]loo ,,place1 ,,london ,ox=d & ,cambridge ,,mdccclxxx ,,prefatory ,,note4 ,ab\t five ye>s ago ,i 0 engag$ 9 prep>+ a catalogue ( ! anci5t books :i* belong to ,*ri/'s ,hospital4 ,"o portion ( ^! books consi/$ ( a collection ( anci5t ma!matical works pres5t$ at v>i\s times = ! use ( t "p ( ! s*ool :i* is kn[n z ! ,royal ,ma!matical ,f\ndation ( ,k+ ,*>les ,,ii4 ,among/ !m 7 "s well kn[n by "n to e ma!matical /ud5t1 b :i* few h ev] se54 ,p]haps ! mo/ int]e/+ ( !m all 0 a little volume1 pr9t$ 9 ,london 9 #afec1 conta9+ ,gass5di's ,explanation ( ! ,ptolemaic & ,cop]nican ,sy/ems ( ,a/ronomy1 z well z t ( ,ty*o ,brahe1 ,galileo's ,sid]eus ,nuncius1 & ,kepl]'s ,dioptrics4 ,i f\nd ,galileo's acc\nt ( 8 a/ronomical discov]ies s int]e/+1 bo? 9 matt] & 9 /yle1 t ,i translat$ x z a recreation f s*ool-"w4 ,i v5ture to ?9k t o!rs also w be int]e/$ 9 foll[+ ,galileo ?r\gh ! appreh5sion ( 8 fam\s discov]ies1 & 9 read+ ! language 9 :i* he ann\nc$ !m4 ,,introduction4 ,9 #afji1 ,galileo1 !n ,pr(essor ( ,ma!matics at ,padua1 9 ! s]vice ( ! ,v5etian ,republic1 he>d f a correspond5t at ,p>is ( ! inv5tion ( a telescope1 & set to "w to consid] h[ su* an in/rum5t c\ld be made4 ,! result 0 8 inv5tion ( ! telescope kn[n by 8 "n1 & id5tical 9 pr9ciple ) ! mod]n op]a-glass4 ,9 a m>itime & w>like ,/ate1 ! advantages to be expect$ f su* an inv5tion 7 imm$iately recognis$1 & ,galileo 0 rew>d$ ) a confirmation ( 8 ,pr(essor%ip = life1 & a h&some /ip5d1 9 recognition ( 8 inv5tion & con/ruction ( ! fir/ telescope se5 at ,v5ice4 ,9 8 pamphlet1 ,! ,sid]eal ,mess5g]1 "h translat$1 ,galileo relates h[ he came to le>n ! value ( ! telescope = a/ronomical rese>*2 & h[ 8 obs]vations 7 rew>d$ by num]\s discov]ies 9 rapid succession1 & at l5g? by t ( ,jupit]'s satellites4 ,galileo at once saw ! value ( ?is discov]y z be>+ ^u ! e/abli%m5t ( ! ,cop]nican sy/em ( a/ronomy1 :i* _h met ) slight acceptance1 & inde$ z yet _h h>dly any recomm5dation except t ( great] simplicity4 ,kepl] _h j publi%$ at ,prague 8 "w on ! planet ,m>s 7,comm5t>ia de motibus ,/ell ,m>tis71 on :i* he _h be5 engag$ app>5tly = eight ye>s2 !re he he>d ( ,galileo's discov]ies1 & at l5g? 0 invit$ by ,galileo himself1 ?r\gh a common fri5d1 ,giuliano de' ,m$ici1 ambassador ( ! ,gr&-,duke ( ,tuscany1 ,cosmo de' ,m$ici ,,ii41 to ! ,emp]or ,rudolph ,,ii41 to correspond ) ,galileo on ! subject ( ^! discov]ies4 ,! ,emp]or also reque/$ 8 op9ion1 & ,kepl] accord+ly exam9$ ,galileo's ,sid]eal ,mess5g] 9 a pamphlet1 entitl$ ,a ,discussion ) ! ,sid]eal ,mess5g] 7,flor5ce1 #afaj74 ,9 ?is ,discussion ,kepl] gives reasons = accept+ ,galileo's obs]vations--al?\gh he 0 n able to v]ify !m f want ( a telescope--& entirely supports ,galileo's views & conclusions1 adduc+ 8 own previ\s speculations1 or po9t+ out1 z 9 ! case ( ,galileo's idea ( e>?-light on ! moon1 ! previ\s conception ( ! same explanation ( ! ph5om5on4 ,he rejects1 h[ev]1 ,galileo's explanation ( ! copp] col\r ( ! moon 9 eclipses4 ,kepl] ends by express+ unb\nd$ en?usiasm at ! discov]y ( ,jupit]'s satellites1 & ! argum5t x furni%es 9 support ( ! ,cop]nican !ory4 ,soon aft]1 9 #afaa1 ,kepl] publi%$ ano!r pamphlet1 8 ,n>rative1 giv+ an acc\nt ( actual obs]vations made 9 v]ification ( ,galileo's discov]ies by himself & sev]al fri5ds1 ^: names he gives1 ) a telescope made by ,galileo1 & belong+ to ,erne/1 ,elector & ,ar*bi%op ( ,cologne4 ,kepl] & 8 fri5ds saw ! lun> m\nta9s & ?ree ( ! satellites ( ,jupit]1 b fail$ to make out any signs ( ! r+ ( ,saturn correspond+ to ! imp]fect description ( ,galileo4 ,kepl] _h previ\sly publi%$ a treatise on ,optics 7,frank=t1 #afjd74 ,he n[ ext5d$ x to ! consid]ation ( ! !ory ( ! telescope1 & expla9$ ! pr9ciple ( ,galileo's telescope2 he also %[$ ano!r comb9ation ( l5ses :i* w\ld produce a simil> effect4 ,?is 0 ! pr9ciple ( ! common a/ronomical telescope1 (t5 call$1 f ?is circum/ance1 ,kepl]'s telescope1 ?\gh he did n con/ruct x4 ,! acc\nt ( ,galileo's lat] a/ronomical discov]ies ( ,saturn's r+ & ! phases ( ,v5us is tak5 f ! preface ( ?is "w4--7,kepl]'s ,dioptrics2 ,augsburg1 #afaa47 ,9 #afab ,galileo publi%$ a s]ies ( obs]vations ( sol> spots1 & 9 #afah "s obs]vations ( ?ree comets4 ,!re exi/ also long s]ies ( m9ute obs]vations ( ,jupit] & 8 satellites1 cont9u$ to ,novemb] #afai4--7;,galileo's ,works2 ,flor5ce1 #ahde47 ,fur!r a/ronomical rese>*es may h be5 h9d]$ by fail+ sight4 ,"o m a/ronomical discov]y1 h[ev]1 t ( ! moon's librations1 0 made z late z #afcg1 & ! ann\ncem5t ( x is dat$ 8dalla mia c>c]e di ,arcetri40 ,galileo di$ ,janu>y #h1 #afdb4 ,! foll[+ editions h be5 us$ = ! translation3-- ,galileo's ,works4 #a4 ,flor5ce1 #agah4 #b4 ,padua1 #agdd4 #c4 ,flor5ce1 #ahdb-ef4 ,sid]eus ,nuncius4 #a4 ,v5ice1 #afaj4 #b4 ,london1 #afec4 ,kepl]'s ,works1 ed4 ,c4 ,fris*4 ,frankfurt a4 ,m41 #aheh-ga4 ,prodromus diss]tationum ma!matic>um cont95s ,my/]ium ,cosmographicum de admirabili proportione orbium cle/ium4 ,tb+51 #aeif4 ,a/ronomia nova 7,comm5t>ia de motibus /ell ,m>tis74 ,prague1 #afji4 ,,! ,,sid]eal ,,mess5g] ,,( ,,galileo ,,galilei ,,! ,,sid]eal ,,mess5g] ,,unfold+ ,,great ,,& ,,m>vell\s ,,sights1 ,,& ,,propos+ ,,!m ,,to ,,! ,,att5tion ,,( ,,e ,,"o1 ,,b ,,especially ,,philosoph]s ,,& ,,a/ronom]s1 ,,be+ ,,su* ,,z ,,h ,,be5 ,,obs]v$ ,,by ,,galileo ,,galilei ,a ,,g5tleman ,,( ,,flor5ce1 ,,pr(essor ,,( ,,ma!matics ,,9 ,,! ,,univ]sity ,,( ,,padua1 ,,) ,,! ,,aid ,,( ,a ,,telescope lately inv5t$ by him1 ,respect+ ! ,moon's ,surface1 an innum]able numb] ( ,fix$ ,/>s1 ! ,milky ,way1 & ,nebul\s ,/>s1 b especially respect+ ,f\r ,planets :i* revolve r\nd ! ,planet ,jupit] at diff]5t di/ances & 9 diff]5t p]iodic times1 ) amaz+ velocity1 & :i*1 aft] rema9+ unkn[n to e "o up to ?is day1 ! ,au?or rec5tly discov]$1 & det]m9$ to "n ! ,,m$icean ,,/>s4 ,v5ice #afaj4 ,,to ,,! ,,mo/ ,,s]5e ,,cosmo ,,de' ,,m$ici1 ,,! ,,second1 ,,f\r? ,,gr&-,,duke ,,( ,,tuscany4 ,!re is c]ta9ly some?+ v noble & l>ge-m9d$ 9 ! int5tion ( ^? :o h endeav\r$ to protect f envy ! noble a*ievem5ts ( di/+ui%$ m51 & to rescue _! names1 wor?y ( immortality1 f oblivion & decay4 ,?is desire has giv5 u ! l9eam5ts ( fam\s m51 sculptur$ 9 m>ble1 or fa%ion$ 9 bronze1 z a memorial ( !m to future ages2 to ! same feel+ we owe ! erection ( /atues1 bo? ord9>y & eque/rian2 h5ce1 z ! poet#a says1 has orig9at$ exp5diture1 m\nt+ to ! />s1 ^u columns & pyramids2 ) ?is desire1 la/ly1 cities h be5 built1 & di/+ui%$ by ! names ( ^? m51 :om ! gratitude ( po/]ity ?\ght wor?y ( be+ h&$ d[n to all ages4 ,= ! /ate ( ! human m9d is su*1 t unless x be cont9ually /irr$ by ! c\nt]p>ts#b ( matt]s1 obtrud+ !mselves ^u x f )\t1 all recollection ( ! matt]s easily passes away f x4 #a ,prop]tius1 iii4 #b4 #ag-bb4 #b ,comp>e ,lucretius iv4 #hha3 ,dico animo no/ro primum simulacra me&i ,accid]e1 atque animum puls>e4 ,b o!rs1 hav+ reg>d = m /able & m la/+ monum5ts1 secur$ ! et]nity ( ! fame ( great m5 by plac+ x "u ! protection1 n ( m>ble or bronze1 b ( ! ,muses' gu>dian%ip & ! imp]i%able monum5ts ( lit]ature4 ,b :y d ,i m5tion ^! ?+s1 z if human wit1 cont5t ) ^! regions1 did n d>e to advance fur!r2 :]eas1 s9ce %e well und]/ood t all human monum5ts d p]i% at la/ by viol5ce1 by wea!r1 or by age1 %e took a wid] view1 & inv5t$ m imp]i%able signs1 ov] :i* de/roy+ ,"t & envi\s ,age c\ld claim no rights2 s1 betak+ h]self to ! sky1 %e inscrib$ on ! well-kn[n orbs ( ! brighte/ />s--^? ev]la/+ orbs--! names ( ^? :o1 = em95t & god-l de$s1 7 acc\nt$ wor?y to enjoy an et]nity 9 company ) ! />s4 ,:]e=e ! fame ( ,jupit]1 ,m>s1 ,m]cury1 ,h]cules1 & ! re/ ( ! h]oes by ^: names ! />s are call$1 w n fade until ! ext9ction ( ! spl5d\r ( ! con/ellations !mselves4 ,b ?is inv5tion ( human %rewdness1 s p>ticul>ly noble & admirable1 has gone out ( date ages ago1 inasmu* z primeval h]oes are 9 possession ( ^? bright abodes1 & keep !m by a sort ( "r2 into ^: company ! affection ( ,augu/us 9 va9 attempt$ to introduce ,julius ,cs>2 = :5 he wi%$ t ! "n ( ! ,julian con/ellation %\ld be giv5 to a />1 :i* appe>$ 9 8 "t1 "o ( ^? :i* ! ,greeks & ! ,lat9s alike "n1 f _! hair-l tails1 comets1 x vani%$ 9 a %ort "t & mock$ 8 too eag] hope4 ,b we are able to read ! heav5s = y\r highness1 mo/ ,s]5e ,pr9ce1 f> m truly & m happily1 = sc>cely h ! immortal graces ( y\r m9d begun to %9e on e>?1 :5 bright />s pres5t !mselves 9 ! heav5s1 l tongues to tell & celebrate y\r mo/ surpass+ virtues to all "t4 ,behold !re=e1 f\r />s res]v$ = y\r fam\s "n1 & ^? n belong+ to ! common & less conspicu\s multitude ( fix$ />s1 b 9 ! bright ranks ( ! planets--f\r />s :i*1 mov+ diff]5tly f ea* o!r1 r\nd ! planet ,jupit]1 ! mo/ glori\s ( all ! planets1 z if !y 7 8 own *ildr51 accompli% ! c\rses ( _! orbits ) m>vell\s velocity1 :ile all ! :ile ) "o accord !y complete all toge!r mighty revolutions e t5 ye>s r\nd ! c5tre ( ! univ]se1 t is1 r\nd ! ,sun4 ,b ! ,mak] ( ! ,/>s himself seem$ to direct me by cle> reasons to assign ^! new planets to ! fam\s "n ( y\r highness 9 pref]5ce to all o!rs4 ,= j z ^! />s1 l *ildr5 wor?y ( _! sire1 nev] leave ! side ( ,jupit] by any appreciable di/ance1 s :o does n "k t clem5cy1 k9dness ( he>t1 g5tl5ess ( mann]s1 spl5d\r ( royal blood1 nobl5ess 9 public functions1 wide ext5t ( influ5ce & p[] ov] o!rs1 all ( :i* h fix$ _! common abode & seat 9 y\r highness1--:o1 ,i say1 does n "k t all ^! qualities1 accord+ to ! provid5ce ( ,god1 f :om all good ?+s d come1 emanate f ! b5ign /> ( ,jupit]8 ,jupit]1 ,jupit]1 ,i ma9ta91 at ! in/ant ( ! bir? ( y\r highness hav+ at l5g? em]g$ f ! turbid mi/s ( ! horizon1 & be+ 9 possession ( ! middle qu>t] ( ! heav5s1 & illum9at+ ! ea/]n angle1 f 8 own royal h\se1 f t exalt$ ?rone1 look$ out ^u y\r mo/ happy bir?1 & p\r$ =? into a mo/ pure atmosph]e all ! brightness ( 8 maje/y1 9 ord] t y\r t5d] body & y\r m9d--?\gh t 0 already adorn$ by ,god ) /ill m spl5did graces--might imbibe ) y\r fir/ brea? ! :ole ( t influ5ce & p[]4 ,b :y %\ld ,i use only plausible argum5ts :5 ,i c almo/ absolutely demon/rate my conclusion8 ,x 0 ! w ( ,almighty ,god t ,i %\ld be judg$ by y\r mo/ s]5e p>5ts n unwor?y to be employ$ 9 tea*+ y\r highness ma!matics1 :i* duty ,i dis*>g$1 dur+ ! f\r ye>s j pass$1 at t "t ( ! ye> :5 x is cu/om>y to take a relaxation f sev]] /udies4 ,:]e=e1 s9ce x evid5tly fell to my lot by ,god's w1 to s]ve y\r highness1 & s to receive ! rays ( y\r surpass+ clem5cy & b5efic5ce 9 a position ne> y\r p]son1 :at wond] is x if y h s w>m$ my he>t t x ?9ks ab\t sc>cely any?+ else day & night1 b h[ ,i1 :o am inde$ y\r subject n only by incl9ation1 b also by my v bir? & l9eage1 may be kn[n to be mo/ anxi\s = y\r glory1 & mo/ grateful to y8 ,& s1 inasmu* z "u y\r patronage1 mo/ s]5e ,cosmo1 ,i h discov]$ ^! />s1 :i* 7 unkn[n to all a/ronom]s be=e me1 ,i h1 ) v good "r1 det]m9$ to designate !m ) ! mo/ augu/ "n ( y\r family4 ,& z ,i 0 ! fir/ to inve/igate !m1 :o c rightly blame me if ,i give !m a "n1 & call !m ! ,m$icean ,/>s1 hop+ t z mu* consid]ation may accrue to ^! />s f ?is title1 z o!r />s h br\ght to o!r h]oes8 ,= n to speak ( y\r mo/ s]5e ance/ors1 to ^: ev]la/+ glory ! monum5ts ( all hi/ory be> witness1 y\r virtue alone1 mo/ mighty sire1 c conf] on ^? />s an immortal "n2 = :o c d\bt t y w n only ma9ta9 & pres]ve ! expectations1 high ?\gh !y be1 ab\t y\rself1 :i* y h ar\s$ by ! v happy beg9n+ ( y\r gov]nm5t1 b t y w also f> surpass !m1 s t :5 y h conqu]$ o!rs l y\rself1 y may /ill vie ) y\rself1 & become day by day great] ?an y\rself & y\r greatness8 ,accept1 !n1 mo/ clem5t ,pr9ce1 ?is addition to ! glory ( y\r family1 res]v$ by ! />s = y2 & may y enjoy = _m ye>s ^? good bless+s1 :i* are s5t to y n s mu* f ! />s z f ,god1 ! ,mak] & ,gov]nor ( ! />s4 ,y\r ,highness's mo/ devot$ s]vant1 ,galileo ,galilei4 ,padua1 ,m>* #ab1 #afaj4 ,,! ,,a/ronomical ,,mess5g] ,conta9+ & sett+ =? ,obs]vations lately made ) ! aid ( a newly inv5t$ ,telescope respect+ ! ,moon's ,surface1 ! ,milky ,way1 ,nebul\s ,/>s1 an innum]able multitude ( ,fix$ ,/>s1 & also respect+ ,f\r ,planets nev] be=e se51 :i* h be5 nam$ ,,! ,,cosmian ,,/>s4#c #c ,! satellites ( ,jupit] are "h call$ 8! ,cosmian ,/>s0 9 hon\r ( ,cosmo de' ,m$ici1 b else:]e ,galileo calls !m 8! ,m$icean ,/>s40 ,kepl] sometimes calls !m 8! ,m$icean ,/>s10 b m (t5 8satellites40 ,sid5ote3 ,introduction4 ,,9 ! pres5t small treatise ,i set =? "s matt]s ( great int]e/ = all obs]v]s ( natural ph5om5a to look at & consid]4 ,!y are ( great int]e/1 ,i ?9k1 fir/1 f _! intr9sic excell5ce2 secondly1 f _! absolute novelty2 & la/ly1 also on acc\nt ( ! in/rum5t by ! aid ( :i* !y h be5 pres5t$ to my appreh5sion4 ,! numb] ( ! ,fix$ ,/>s :i* obs]v]s h be5 able to see )\t artificial p[]s ( sight up to ?is day c be c\nt$4 ,x is !re=e decid$ly a great feat to add to _! numb]1 & to set di/9ctly be=e ! eyes o!r />s 9 myriads1 :i* h nev] be5 se5 be=e1 & :i* surpass ! old1 previ\sly kn[n1 />s 9 numb] m ?an t5 times4 ,aga91 x is a mo/ beautiful & delightful sight to behold ! body ( ! ,moon1 :i* is di/ant f u ne>ly sixty semi-diamet]s#d ( ! ,e>?1 z ne> z if x 0 at a di/ance ( only two ( ! same measures2 s t ! diamet] ( ?is same ,moon appe>s ab\t ?irty times l>g]1 its surface ab\t n9e hundr$ times1 & its solid mass ne>ly #bg1jjj times l>g] ?an :5 x is view$ only ) ! nak$ eye2 & consequ5tly any "o may "k ) ! c]ta9ty t is due to ! use ( our s5ses1 t ! ,moon c]ta9ly does n possess a smoo? & poli%$ surface1 b "o r\gh & unev51 &1 j l ! face ( ! ,e>? itself1 is ev]y:]e full ( va/ protub]ances1 deep *asms1 & s9uosities4 #d ,galileo says1 8p] sex d5as f]e t]re/res diametros a nobis remotum0 by mi/ake = semi-diametros1 & ! same mi/ake occurs 9 p4 #aa4 ,!n to h got rid ( disputes ab\t ! ,galaxy or ,milky ,way1 & to h made its nature cle> to ! v s5ses1 n to say to ! und]/&+1 seems by no means a matt] :i* ought to be consid]$ ( slight importance4 ,9 addition to ?is1 to po9t out1 z ) "o's f+]1 ! nature ( ^? />s :i* e "o ( ! a/ronom]s up to ?is "t has call$ nebul\s1 & to demon/rate t x is v diff]5t f :at has hi!rto be5 believ$1 w be pleasant1 & v f9e4 ,b t :i* w excite ! greate/ a/oni%m5t by f>1 & :i* inde$ especially mov$ me to call ! att5tion ( all a/ronom]s & philosoph]s1 is ?is1 namely1 t ,i h discov]$ f\r planets1 nei!r kn[n nor obs]v$ by any "o ( ! a/ronom]s be=e my "t1 :i* h _! orbits r\nd a c]ta9 bright />1 "o ( ^? previ\sly kn[n1 l ,v5us & ,m]cury r\nd ! ,sun1 & are sometimes 9 front ( x1 sometimes beh9d x1 ?\gh !y nev] dep>t f x beyond c]ta9 limits4 ,all :i* facts 7 discov]$ & obs]v$ a few days ago by ! help ( a telescope#e devis$ by me1 ?r\gh ,god's grace fir/ enlight5+ my m9d4 #e ,! words us$ by ,galileo = 8telescope0 are p]spicillum1 specillum in/rum5tum1 organum1 & oc*iale 7,ital474 ,kepl] uses also ocul>e tubus1 arundo dioptrica4 ,! ^w 8telescopium0 is us$ by ,gass5di1 #afdg4 ,p]*ance o!r discov]ies /ill m excell5t w be made f "t to "t by me or by o!r obs]v]s1 ) ! assi/ance ( a simil> in/rum5t1 s ,i w fir/ briefly record its %ape & prep>ation1 z well z ! occasion ( its be+ devis$1 & !n ,i w give an acc\nt ( ! obs]vations made by me4 ,sid5ote3 ,galileo's acc\nt ( ! inv5tion ( 8 telescope4 ,ab\t t5 mon?s ago a report rea*$ my e>s t a ,dut*man _h con/ruct$ a telescope1 by ! aid ( :i* visible objects1 al?\gh at a great di/ance f ! eye ( ! obs]v]1 7 se5 di/9ctly z if ne>2 & "s pro(s ( its mo/ wond]ful p]=mances 7 report$1 :i* "s gave cr$5ce to1 b o!rs contradict$4 ,a few days aft]1 ,i receiv$ confirmation ( ! report 9 a lett] writt5 f ,p>is by a noble ,fr5*man1 ,jaques ,badov]e1 :i* f9ally det]m9$ me to give myself up fir/ to inquire into ! pr9ciple ( ! telescope1 & !n to consid] ! means by :i* ,i might compass ! inv5tion ( a simil> in/rum5t1 :i* a little :ile aft] ,i succe$$ 9 do+1 ?r\gh deep /udy ( ! !ory ( ,refraction2 & ,i prep>$ a tube1 at fir/ ( lead1 9 ! ends ( :i* ,i fitt$ two glass l5ses1 bo? plane on "o side1 b on ! o!r side "o sph]ically convex1 & ! o!r concave4 ,!n br++ my eye to ! concave l5s ,i saw objects satisfactorily l>ge & ne>1 = !y appe>$ "o-?ird ( ! di/ance (f & n9e times l>g] ?an :5 !y are se5 ) ! natural eye alone4 ,i %ortly aft]w>ds con/ruct$ ano!r telescope ) m nicety1 :i* magnifi$ objects m ?an sixty times4 ,at l5g?1 by sp>+ nei!r lab\r nor exp5se1 ,i succe$$ 9 con/ruct+ = myself an in/rum5t s sup]ior t objects se5 ?r\gh x appe> magnifi$ ne>ly a ?\s& times1 & m ?an ?irty times ne>] ?an if view$ by ! natural p[]s ( sight alone4 ,sid5ote3 ,galileo's fir/ obs]vations ) 8 telescope4 ,x w\ld be altoge!r a wa/e ( "t to enum]ate ! numb] & importance ( ! b5efits :i* ?is in/rum5t may be expect$ to conf]1 :5 us$ by l& or sea4 ,b )\t pay+ att5tion to its use = t]re/rial objects1 ,i betook myself to obs]vations ( ! heav5ly bodies2 & fir/ ( all1 ,i view$ ! ,moon z ne> z if x 0 sc>cely two semi-diamet]s#f ( ! ,e>? di/ant4 ,aft] ! ,moon1 ,i frequ5tly obs]v$ o!r heav5ly bodies1 bo? fix$ />s & planets1 ) incr$ible delight2 &1 :5 ,i saw _! v great numb]1 ,i began to consid] ab\t a me?od by :i* ,i might be able to measure _! di/ances ap>t1 & at l5g? ,i f\nd "o4 ,& "h x is fitt+ t all :o int5d to turn _! att5tion to obs]vations ( ?is k9d %\ld receive c]ta9 cautions4 ,=1 9 ! fir/ place1 x is absolutely necess>y = !m to prep>e a mo/ p]fect telescope1 "o :i* w %[ v bright objects di/9ct & free f any mi/9ess1 & w magnify !m at lea/ #djj times1 = !n x w %[ !m z if only "o-tw5tie? ( _! di/ance (f4 ,= unless ! in/rum5t be ( su* p[]1 x w be 9 va9 to attempt to view all ! ?+s :i* h be5 se5 by me 9 ! heav5s1 or :i* w be enum]at$ h]eaft]4 #f 8,vix p] duas ,telluris diametros10 by mi/ake = 8semi-diametros40 ,sid5ote3 ,me?od ( det]m9+ ! magnify+ p[] ( ! telescope4 ,b 9 ord] t any "o may be a little m c]ta9 ab\t ! magnify+ p[] ( 8 in/rum5t1 he %all fa%ion two circles1 or two squ>e pieces ( pap]1 "o ( :i* is #djj times great] ?an ! o!r1 b t w be :5 ! diamet] ( ! great] is tw5ty times ! l5g? ( ! diamet] ( ! o!r4 ,!n he %all view f a di/ance simultane\sly bo? surfaces1 fix$ on ! same wall1 ! small] ) "o eye appli$ to ! telescope1 & ! l>g] ) ! o!r eye unassi/$2 = t may be done )\t inconv5i5ce at "o & ! same in/ant ) bo? eyes op54 ,!n bo? figures w appe> ( ! same size1 if ! in/rum5t magnifies objects 9 ! desir$ proportion4 ,sid5ote3 ,me?od ( measur+ small angul> di/ances betwe5 heav5ly bodies by ! size ( ! ap]ture ( ! telescope4 ,aft] su* an in/rum5t has be5 prep>$1 ! me?od ( measur+ di/ances rema9s = inquiry1 & ?is we %all accompli% by ! foll[+ contrivance3-- ,illu/ration ,= ! sake ( be+ m easily und]/ood1 ,i w suppose a tube ,a ,b ,c ,d4#g ,let ,e be ! eye ( ! obs]v]2 !n1 :5 !re are no l5ses 9 ! tube rays f ! eye to ! object ,f ,g w\ld be drawn 9 ! /raight l9es ,e ,c ,f1 ,e ,d ,g1 b :5 ! l5ses h be5 ins]t$1 let ! rays g 9 ! b5t l9es ,e ,c ,h1 ,e ,d ,i1--= !y are contract$1 & ^? :i* orig9ally1 :5 unaffect$ by ! l5ses1 7 direct$ to ! object ,f ,g1 w include only ! "p ,h ,i4 ,h5ce ! ratio ( ! di/ance ,e ,h to ! l9e ,h ,i be+ kn[n1 we %all be able to f9d1 by means ( a table ( s9es1 ! magnitude ( ! angle subt5d$ at ! eye by ! object ,h ,i1 :i* we %all f9d to conta9 only "s m9utes4 ,b if we fit on ! l5s ,c ,d ?9 plates ( metal1 pi]c$1 "s ) l>g]1 o!rs ) small] ap]tures1 by putt+ on ov] ! l5s sometimes "o plate1 sometimes ano!r1 z may be necess>y1 we %all con/ruct at our pleasure diff]5t subt5d+ angles ( m or few] m9utes1 by ! help ( :i* we %all be able to measure conv5i5tly ! int]vals betwe5 />s sep>at$ by an angul> di/ance ( "s m9utes1 )9 an error ( "o or two m9utes4 ,b let x suffice = ! pres5t to h ?us slightly t\*$1 & z x 7 j put our lips to ^! matt]s1 = on "s o!r opportunity ,i w publi% ! !ory ( ?is in/rum5t 9 complet5ess4 #g ,illu/ration ,! l9e ,c ,h 9 ,galileo's figure repres5ts ! small p5cil ( rays f ,h :i*1 aft] refraction ?r\gh ! telescope1 rea* ! eye ,e4 ,! enl>g$ figure %[s t if ,o ,p be ! radius ( ! ap]ture employ$1 ! po9t ,h ( ! object w\ld be j outside ! field ( view4 ,! me?od1 h[ev]1 is at be/ only a v r\gh "o1 z ! b\nd>y ( ! field ( view 9 ?is telescope is unavoidably indi/9ct4 ,n[ let me review ! obs]vations made by me dur+ ! two mon?s j pa/1 aga9 invit+ ! att5tion ( all :o are eag] = true philosophy to ! beg9n+s :i* l$ to ! sight ( mo/ important ph5om5a4 ,sid5ote3 ,! ,moon4 ,rugg$ness ( its surface4 ,exi/5ce ( lun> m\nta9s & valleys4 ,let me speak fir/ ( ! surface ( ! ,moon1 :i* is turn$ t[>ds u4 ,= ! sake ( be+ und]/ood m easily1 ,i di/+ui% two p>ts 9 x1 :i* ,i call respectively ! bright] & ! d>k]4 ,! bright] "p seems to surr\nd & p]vade ! :ole hemisph]e2 b ! d>k] "p1 l a sort ( cl\d1 discol\rs ! ,moon's surface & makes x appe> cov]$ ) spots4 ,n[ ^! spots1 z !y are some:at d>k & ( consid]able size1 are pla9 to e "o1 & e age has se5 !m1 :]e=e ,i %all call !m great or anci5t spots1 to di/+ui% !m f o!r spots1 small] 9 size1 b s ?ickly scatt]$ t !y spr9kle ! :ole surface ( ! ,moon1 b especially ! bright] portion ( x4 ,^! spots h nev] be5 obs]v$ by any "o be=e me2 & f my obs]vations ( !m1 (t5 repeat$1 ,i h be5 l$ to t op9ion :i* ,i h express$1 namely1 t ,i feel sure t ! surface ( ! ,moon is n p]fectly smoo?1 free f inequalities & exactly sph]ical1 z a l>ge s*ool ( philosoph]s consid]s ) reg>d to ! ,moon & ! o!r heav5ly bodies1 b t1 on ! contr>y1 x is full ( inequalities1 unev51 full ( holl[s & protub]ances1 j l ! surface ( ! ,e>? itself1 :i* is v>i$ ev]y:]e by l(ty m\nta9s & deep valleys4 ,sket*es by ,galileo to %ew3-- ,illu/ration3 ! ind5tation ( ! t]m9ator & illum9at$ summits ( m\nta9s 9 ! d>k "p ( ! moon2 ,illu/ration3 ! %ape ( a lun> m\nta9 & ( a wall$ pla94 ,galileo3 #8,sid]eus ,nuncius1' ,v5ice #afaj4 ,! appe>ances f :i* we may ga!r ^! conclusions are ( ! foll[+ nature3--,on ! f\r? or fif? day aft] new-moon1 :5 ! ,moon pres5ts itself to u ) bright horns1 ! b\nd>y :i* divides ! "p 9 %ad[ f ! enlight5$ "p does n ext5d cont9u\sly 9 an ellipse1 z w\ld happ5 9 ! case ( a p]fectly sph]ical body1 b x is m>k$ out by an irregul>1 unev51 & v wavy l9e1 z repres5t$ 9 ! figure giv51 = sev]al bright excresc5ces1 z !y may be call$1 ext5d beyond ! b\nd>y ( light & %ad[ into ! d>k "p1 & on ! o!r h& pieces ( %ad[ encroa* ^u ! light3--nay1 ev5 a great quantity ( small blacki% spots1 altoge!r sep>at$ f ! d>k "p1 spr9kle ev]y:]e almo/ ! :ole space :i* is at ! "t flood$ ) ! ,sun's light1 ) ! exception ( t "p alone :i* is occupi$ by ! great & anci5t spots4 ,i h notic$ t ! small spots j m5tion$ h ?is common *>act]i/ic always & 9 e case1 t !y h ! d>k "p t[>ds ! ,sun's position1 & on ! side away f ! ,sun !y h bright] b\nd>ies1 z if !y 7 cr[n$ ) %9+ summits4 ,n[ we h an appe>ance q simil> on ! ,e>? ab\t sunrise1 :5 we behold ! valleys1 n yet flood$ ) light1 b ! m\nta9s surr\nd+ !m on ! side opposite to ! ,sun already ablaze ) ! spl5d\r ( 8 beams2 & j z ! %ad[s 9 ! holl[s ( ! ,e>? dim9i% 9 size z ! ,sun rises high]1 s also ^! spots on ! ,moon lose _! blackness z ! illum9at$ "p gr[s l>g] & l>g]4 ,aga91 n only are ! b\nd>ies ( light & %ad[ 9 ! ,moon se5 to be unev5 & s9u\s1 b--& ?is produces /ill great] a/oni%m5t--!re appe> v _m bright po9ts )9 ! d>k5$ portion ( ! ,moon1 altoge!r divid$ & brok5 (f f ! illum9at$ tract1 & sep>at$ f x by no inconsid]able int]val1 :i*1 aft] a little :ile1 gradually increase 9 size & brightness1 & aft] an h\r or two become jo9$ on to ! re/ ( ! bright portion1 n[ become some:at l>g]2 b 9 ! meantime o!rs1 "o "h & ano!r !re1 %oot+ up z if gr[+1 are light$ up )9 ! %ad$ portion1 increase 9 size1 & at la/ are l9k$ on to ! same lum9\s surface1 n[ /ill m ext5d$4 ,an example ( ?is is giv5 9 ! same figure4 ,n[1 is x n ! case on ! ,e>? be=e sunrise1 t :ile ! level pla9 is /ill 9 %ad[1 ! peaks ( ! mo/ l(ty m\nta9s are illum9at$ by ! ,sun's rays8 ,aft] a little :ile does n ! light spread fur!r1 :ile ! middle & l>g] p>ts ( ^? m\nta9s are becom+ illum9at$2 & at l5g?1 :5 ! ,sun has ris51 d n ! illum9at$ p>ts ( ! pla9s & hills jo9 toge!r8 ,! gr&eur1 h[ev]1 ( su* prom95ces & depressions 9 ! ,moon seems to surpass bo? 9 magnitude & ext5t ! rugg$ness ( ! ,e>?'s surface1 z ,i %all h]eaft] %[4 ,& "h ,i _c refra9 f m5tion+ :at a rem>kable spectacle ,i obs]v$ :ile ! ,moon 0 rapidly approa*+ h] fir/ qu>t]1 a repres5tation ( :i* is giv5 9 ! same illu/ration1 plac$ opposite page #af4 ,a protub]ance ( ! %ad[1 ( great size1 ind5t$ ! illum9at$ "p 9 ! neighb\rhood ( ! l[] cusp2 & :5 ,i _h obs]v$ ?is ind5tation long]1 & _h se5 t x 0 d>k ?r\gh\t1 at l5g?1 aft] ab\t two h\rs1 a bright peak began to arise a little bel[ ! middle ( ! depression2 ?is by degrees increas$1 & pres5t$ a triangul> %ape1 b 0 z yet q deta*$ & sep>at$ f ! illum9at$ surface4 ,soon ar\nd x ?ree o!r small po9ts began to %9e1 until1 :5 ! ,moon 0 j ab\t to set1 t triangul> figure1 hav+ n[ ext5d$ & wid5$1 began to be connect$ ) ! re/ ( ! illum9at$ "p1 &1 /ill girt ) ! ?ree bright peaks already m5tion$1 sudd5ly bur/ into ! ind5tation ( %ad[ l a va/ promontory ( light4 ,at ! ends ( ! upp] & l[] cusps also c]ta9 bright po9ts1 q away f ! re/ ( ! bright "p1 began to rise out ( ! %ad[1 z is se5 depict$ 9 ! same illu/ration4 ,sid5ote3 ,! lun> spots are sugge/$ to be possibly seas bord]$ by ranges ( m\nta9s4 ,9 bo? horns also1 b especially 9 ! l[] "o1 !re 0 a great quantity ( d>k spots1 ( :i* ^? :i* are ne>] ! b\nd>y ( light & %ad[ appe> l>g] & d>k]1 b ^? :i* are m remote less d>k & m indi/9ct4 ,9 all cases1 h[ev]1 j z ,i h m5tion$ be=e1 ! d>k portion ( ! spot faces ! position ( ! ,sun's illum9ation1 & a bright] edge surr\nds ! d>k5$ spot on ! side away f ! ,sun1 & t[>ds ! region ( ! ,moon 9 %ad[4 ,?is "p ( ! surface ( ! ,moon1 :]e x is m>k$ ) spots l a peacock's tail ) its azure eyes1 is r5d]$ l ^? glass vases :i*1 ?r\gh be+ plung$ :ile /ill hot f ! kiln into cold wat]1 acquire a crackl$ & wavy surface1 f :i* circum/ance !y are commonly call$ fro/$ glasses4#h ,n[ ! great spots ( ! ,moon obs]v$ at ! same "t are n se5 to be at all simil>ly brok51 or full ( depressions & prom95ces1 b r to be ev5 & uni=m2 = only "h & !re "s spaces1 r bright] ?an ! re/1 crop up2 s t if any "o wi%es to revive ! old op9ion ( ! ,py?agoreans1 t ! ,moon is ano!r ,e>?1 s to say1 ! bright] portion may v fitly repres5t ! surface ( ! l&1 & ! d>k] ! expanse ( wat]4 ,inde$1 ,i h nev] d\bt$ t if ! sph]e ( ! ,e>? 7 se5 f a di/ance1 :5 flood$ ) ! ,sun's rays1 t "p ( ! surface :i* is l& w\ld pres5t itself to view z bright]1 & t :i* is wat] z d>k] 9 comp>ison4 ,moreov]1 ! great spots 9 ! ,moon are se5 to be m depress$ ?an ! bright] tracts2 = 9 ! ,moon1 bo? :5 cresc5t & :5 wan+1 on ! b\nd>y betwe5 ! light & %ad[1 :i* projects 9 "s places r\nd ! great spots1 ! adjac5t regions are always bright]1 z ,i h notic$ 9 draw+ my illu/rations1 & ! edges ( ! spots ref]r$ to are n only m depress$ ?an ! bright] p>ts1 b are m ev51 & are n brok5 by ridges or rugg$nesses4 ,b ! bright] "p /&s out mo/ ne> ! spots1 s t bo? be=e ! fir/ qu>t] & ab\t ! ?ird qu>t] also1 ar\nd a c]ta9 spot 9 ! upp] "p ( ! figure1 t is1 occupy+ ! nor!rn region ( ! ,moon1 "s va/ prom95ces on ! upp] & l[] sides ( x rise to an enorm\s elevation1 z ! illu/rations %[4 ,?is same spot be=e ! ?ird qu>t] is se5 to be wall$ r\nd ) b\nd>ies ( a deep] %ade1 :i* j l v l(ty m\nta9 summits appe> d>k] on ! side away f ! ,sun1 & bright] on ! side :]e !y face ! ,sun2 b 9 ! case ( ! cavities ! opposite happ5s1 = ! "p ( !m away f ! ,sun appe>s brilliant1 & t "p :i* lies ne>] to ! ,sun d>k & 9 %ad[4 ,aft] a "t1 :5 ! enlight5$ portion ( ! ,moon's surface has dim9i%$ 9 size1 z soon z ! :ole or ne>ly s ( ! spot already m5tion$ is cov]$ ) %ad[1 ! bright] ridges ( ! m\nta9s m\nt high above ! %ade4 ,^! two appe>ances are %[n 9 ! illu/rations :i* are giv54 #h ,specim5s ( fro/$ or crackl$ ,v5etian glass are to be se5 9 ! ,slade ,collection1 ,briti% ,museum1 & fully ju/ify ,galileo's comp>ison4 ,sid5ote3 ,description ( a lun> crat]1 p]haps ,ty*o4#i #i ,webb1 ,cele/ial ,objects = ,common ,telescopes1 p4 #ajd1 sugge/s ?is id5tification4 ,!re is "o o!r po9t :i* ,i mu/ on no acc\nt =get1 :i* ,i h notic$ & r wond]$ at4 ,x is ?is3--,! middle ( ! ,moon1 z x seems1 is occupi$ by a c]ta9 cavity l>g] ?an all ! re/1 & 9 %ape p]fectly r\nd4 ,i h look$ at ?is depression ne> bo? ! fir/ & ?ird qu>t]s1 & ,i h repres5t$ x z well z ,i c 9 ! second illu/ration already giv54 ,x produces ! same appe>ance z to effects ( light & %ade z a tract l ,bohemia w\ld produce on ! ,e>?1 if x 7 %ut 9 on all sides by v l(ty m\nta9s arrang$ on ! circumf]5ce ( a p]fect circle2 = ! tract 9 ! ,moon is wall$ 9 ) peaks ( su* enorm\s height t ! fur!/ side adjac5t to ! d>k portion ( ! ,moon is se5 ba!d 9 sunlight be=e ! b\nd>y betwe5 light & %ade rea*es half-way across ! circul> space4 ,b accord+ to ! *>act]i/ic prop]ty ( ! re/ ( ! spots1 ! %ad$ portion ( ?is too faces ! ,sun1 & ! bright "p is t[>ds ! d>k side ( ! ,moon1 :i* = ! ?ird "t ,i advise to be c>efully notic$ z a mo/ solid pro( ( ! rugg$nesses & unev5nesses spread ov] ! :ole ( ! bright region ( ! ,moon4 ,( ^! spots1 moreov]1 ! d>ke/ are always ^? :i* are ne> to ! b\nd>y-l9e betwe5 ! light & ! %ad[1 b ^? fur!r (f appe> bo? small] 9 size & less decid$ly d>k2 s t at l5g?1 :5 ! ,moon at opposition becomes full1 ! d>kness ( ! cavities diff]s f ! brightness ( ! prom95ces ) a subdu$ & v slight diff]5ce4 ,sid5ote3 ,reasons = believ+ t !re is a diff]5ce ( con/itution 9 v>i\s p>ts ( ! ,moon's surface4 ,^! ph5om5a :i* we h review$ are obs]v$ 9 ! bright tracts ( ! ,moon4 ,9 ! great spots we d n see su* diff]5ces ( depressions & prom95ces z we are compell$ to recognise 9 ! bright] p>ts1 ow+ to ! *ange ( _! %apes "u diff]5t degrees ( illum9ation by ! ,sun's rays accord+ to ! manifold v>iety ( ! ,sun's position ) reg>d to ! ,moon4 ,/ill1 9 ! great spots !re d exi/ "s spaces r less d>k ?an ! re/1 z ,i h not$ 9 ! illu/rations1 b ^! spaces always h ! same appe>ance1 & ! dep? ( _! %ad[ is nei!r int5sifi$ nor dim9i%$2 !y d appe> inde$ sometimes a little m %ad$1 sometimes a little less1 b ! *ange ( col\r is v slight1 accord+ z ! ,sun's rays fall ^u !m m or less obliquely2 & besides1 !y are jo9$ to ! adjac5t p>ts ( ! spots ) a v gradual connection1 s t _! b\nd>ies m+le & melt into ! surr\nd+ region4 ,b x is q diff]5t ) ! spots :i* occupy ! bright] p>ts ( ! ,moon's surface1 =1 j z if !y 7 precipit\s crags ) num]\s rugg$ & jagg$ peaks1 !y h well-def9$ b\nd>ies ?r\gh ! %>p contra/ ( light & %ade4 ,moreov]1 inside ^? great spots c]ta9 o!r tracts are se5 bright] ?an ! surr\nd+ region1 & "s ( !m v bright inde$1 b ! appe>ance ( ^!1 z well z ( ! d>k] p>ts1 is always ! same2 !re is no *ange ( %ape or brightness or dep? ( %ad[1 s t x becomes a matt] ( c]ta9ty & beyond d\bt t _! appe>ance is ow+ to real dissimil>ity ( p>ts1 & n to unev5nesses only 9 _! configuration1 *ang+ 9 diff]5t ways ! %ad[s ( ! same p>ts accord+ to ! v>iations ( _! illum9ation by ! ,sun1 :i* really happ5s 9 ! case ( ! o!r small] spots occupy+ ! bright] portion ( ! ,moon1 = day by day !y *ange1 increase1 decrease1 or disappe>1 inasmu* z !y d]ive _! orig9 only f ! %ad[s ( prom95ces4 ,sid5ote3 ,explanation ( ! ev5ness ( ! illum9at$ "p ( ! circumf]5ce ( ! ,moon's orb by ! analogy ( t]re/rial ph5om5a1 or by a possible lun> atmosph]e4 ,b "h ,i feel t "s p may be tr\bl$ ) grave d\bt1 & p]haps seiz$ ) a difficulty s s]i\s z to compel !m to feel unc]ta9 ab\t ! conclusion j expla9$ & support$ by s _m ph5om5a4 ,= if t "p ( ! ,moon's surface :i* reflects ! ,sun's rays mo/ brightly is full ( s9uosities1 protub]ances1 & cavities innum]able1 :y1 :5 ! ,moon is increas+1 does ! out] edge :i* looks t[>d ! we/1 :5 ! ,moon is wan+1 ! o!r half-circumf]5ce t[>ds ! ea/1 & at full-moon ! :ole circle1 appe> n unev51 rugg$1 & irregul>1 b p]fectly r\nd & circul>1 z %>ply def9$ z if m>k$ out ) a pair ( compasses1 & )\t ! ind5tations ( any protub]ances or cavities8 ,& mo/ rem>kably s1 because ! :ole unbrok5 edge belongs to t "p ( ! ,moon's surface :i* possesses ! prop]ty ( appe>+ bright] ?an ! re/1 :i* ,i h said to be ?r\gh\t full ( protub]ances & cavities4 ,= n "o ( ! ,great ,spots ext5ds q to ! circumf]5ce1 b all ( !m are se5 to be toge!r away f ! edge4 ,( ?is ph5om5on1 :i* af=ds a h&le = su* s]i\s d\bt1 ,i produce two causes1 & s two solutions ( ! difficulty4 ,! fir/ solution :i* ,i (f] is ?is3--,if ! protub]ances & cavities 9 ! body ( ! ,moon exi/$ only on ! edge ( ! circle t b\nds ! hemisph]e :i* we see1 !n ! ,moon might1 or r mu/1 %[ itself to u ) ! appe>ance ( a too!d :eel1 be+ b\nd$ ) an irregul> & unev5 circumf]5ce2 b if1 in/ead ( a s+le set ( prom95ces arrang$ along ! actual circumf]5ce only1 v _m ranges ( m\nta9s ) _! cavities & rugg$nesses are set "o beh9d ! o!r along ! extreme edge ( ! ,moon1 & t too n only 9 ! hemisph]e :i* we see1 b also 9 t :i* is turn$ away f u1 b /ill ne> ! b\nd>y ( ! hemisph]e1 !n ! eye1 view+ !m af> (f1 w n at all be able to detect ! diff]5ces ( prom95ces & cavities1 = ! int]vals betwe5 ! m\nta9s situat$ 9 ! same circle1 or 9 ! same *a91 are hidd5 by ! jutt+ =w>d ( o!r prom95ces situat$ 9 o!r ranges1 & especially if ! eye ( ! obs]v] is plac$ 9 ! same l9e ) ! tops ( ! prom95ces m5tion$4 ,s on ! ,e>?1 ! summits ( a numb] ( m\nta9s close toge!r appe> situat$ 9 "o plane1 if ! spectator is a long way (f & /&+ at ! same elevation4 ,s :5 ! sea is r\gh1 ! tops ( ! waves seem to =m "o plane1 al?\gh betwe5 ! bill[s !re is _m a gulf & *asm1 s deep t n only ! hulls1 b ev5 ! bulw>ks1 ma/s1 & sails ( /ately %ips are hidd5 among/ !m4 ,!re=e1 z )9 ! ,moon1 z well z r\nd h] circumf]5ce1 !re is a manifold arrangem5t ( prom95ces & cavities1 & ! eye1 reg>d+ !m f a great di/ance1 is plac$ 9 ne>ly ! same plane ) _! summits1 no "o ne$ ?9k x /range t !y pres5t !mselves to ! visual ray :i* j grazes !m z an unbrok5 l9e q free f unev5nesses4 ,to ?is explanation may be add$ ano!r1 namely1 t !re is r\nd ! body ( ! ,moon1 j z r\nd ! ,e>?1 an envelope ( "s sub/ance d5s] ?an ! re/ ( ! e!r1 :i* is suffici5t to receive & reflect ! ,sun's rays1 al?\gh x does n possess s mu* opaqu5ess z to be able to prev5t our see+ ?r\gh x--especially :5 x is n illum9at$4 ,t envelope1 :5 illum9at$ by ! ,sun's rays1 r5d]s ! body ( ! ,moon app>5tly l>g] ?an x really is1 & w\ld be able to /op our sight f p5etrat+ to ! solid body ( ! ,moon1 if its ?ickness 7 great]2 n[1 x is ( great] ?ickness ab\t ! circumf]5ce ( ! ,moon1 great]1 ,i mean1 n 9 actual ?ickness1 b ) ref]5ce to our sight-rays1 :i* cut x obliquely2 & s x may /op our vision1 especially :5 x is 9 a /ate ( brightness1 & may conceal ! true circumf]5ce ( ! ,moon on ! side t[>ds ! ,sun4 ,illu/ration ,?is may be und]/ood m cle>ly f ! adjo9+ figure1 9 :i* ! body ( ! ,moon1 ,a ,b ,c1 is surr\nd$ by an envelop+ atmosph]e1 ,d ,e ,g4 ,an eye at ,f p5etrates to ! middle p>ts ( ! ,moon1 z at ,a1 ?r\gh a ?ickness1 ,d ,a1 ( ! atmosph]e2 b t[>ds ! extreme p>ts a mass ( atmosph]e ( great] dep?1 ,e ,b1 %uts out its b\nd>y f our sight4 ,an argum5t 9 fav\r ( ?is is1 t ! illum9at$ portion ( ! ,moon appe>s ( l>g] circumf]5ce ?an ! re/ ( ! orb :i* is 9 %ad[4 ,p]haps also "s w ?9k t ?is same cause af=ds a v reasonable explanation :y ! great] spots on ! ,moon are n se5 to rea* to ! edge ( ! circumf]5ce on any side1 al?\gh x might be expect$ t "s w\ld be f\nd ab\t ! edge z well z else:]e2 & x seems cr$ible t !re are spots !re1 b t !y _c be se5 because !y are hidd5 by a mass ( atmosph]e too ?ick & too bright = ! sight to p5etrate4 ,illu/ration ,sid5ote3 ,calculation to %[ t ! height ( "s lun> m\nta9s exce$s f\r ,italian miles#aj 7#bb1jjj ,briti% feet74 #aj ,9 ! li/ ( ! heights ( lun> m\nta9s det]m9$ by ,be] & ,ma$l]1 giv5 9 _! "w ,d] ,mond 7,b]l91 #ahcg71 !re are six :i* exce$ #cjjj toises1 or #ai1jjj ,briti% feet4 ,i ?9k t x has be5 suffici5tly made cle>1 f ! explanation ( ph5om5a :i* h be5 giv51 t ! bright] "p ( ! ,moon's surface is dott$ ev]y:]e ) protub]ances & cavities2 x only rema9s = me to speak ab\t _! size1 & to %[ t ! rugg$nesses ( ! ,e>?'s surface are f> small] ?an ^? ( ! ,moon's2 small]1 ,i mean1 absolutely1 s to say1 & n only small] 9 proportion to ! size ( ! orbs on :i* !y are4 ,& ?is is pla9ly %[n ?us3--,z ,i (t5 obs]v$ 9 v>i\s positions ( ! ,moon ) ref]5ce to ! ,sun1 t "s summits )9 ! portion ( ! ,moon 9 %ad[ appe>$ illum9$1 al?\gh at "s di/ance f ! b\nd>y ( ! light 7! t]m9ator71 by comp>+ _! di/ance ) ! complete diamet] ( ! ,moon1 ,i le>nt t x sometimes exce$$ ! "o-tw5tie? 7#a_/bj?7 "p ( ! diamet]4 ,suppose ! di/ance to be exactly #a_/bj? "p ( ! diamet]1 & let ! diagram repres5t ! ,moon's orb1 ( :i* ,c ,a ,f is a great circle1 ,e its c5tre1 & ,c ,f a diamet]1 :i* consequ5tly be>s to ! diamet] ( ! ,e>? ! ratio #b3g2 & s9ce ! diamet] ( ! ,e>?1 accord+ to ! mo/ exact obs]vations1 conta9s #gjjj ,italian miles1 ,c ,f w be #bjjj1 & ,c ,e #ajjj1 & ! #a_/bj? "p ( ! :ole1 ,c ,f1 #ajj miles4 ,also let ,c ,f be a diamet] ( ! great circle :i* divides ! bright "p ( ! ,moon f ! d>k "p 7=1 ow+ to ! v great di/ance ( ! ,sun f ! ,moon ?is circle does n diff] s5sibly f a great "o71 & let ! di/ance ( ,a f ! po9t ,c be #a_/bj? "p ( t diamet]2 let ! radius ,e ,a be drawn1 & let x be produc$ to cut ! tang5t l9e ,g ,c ,d1 :i* repres5ts ! ray t illum9es ! summit1 9 ! po9t ,d4 ,!n ! arc ,c ,a or ! /raight l9e ,c ,d w be #ajj ( su* units1 z ,c ,e conta9s #ajjj4 ,! sum ( ! squ>es ( ,d ,c1 ,c ,e is !re=e #a1jaj1jjj1 & ! squ>e ( ,d ,e is equal to ?is2 !re=e ! :ole ,e ,d w be m ?an #ajjd2 & ,a ,d w be m ?an #d ( su* units1 z ,c ,e conta9$ #ajjj4 ,!re=e ! height ( ,a ,d 9 ! ,moon1 :i* repres5ts a summit rea*+ up to ! ,sun's ray1 ,g ,c ,d1 & sep>at$ f ! extremity ,c by ! di/ance ,c ,d1 is m ?an #d ,italian miles2 b 9 ! ,e>? !re are no m\nta9s :i* rea* to ! p]p5dicul> height ev5 ( "o mile4 ,we are !re=e left to conclude t x is cle> t ! prom95ces ( ! ,moon are l(ti] ?an ^? ( ! ,e>?4 ,sid5ote3 ,! fa9t illum9ation ( ! ,moon's disc ab\t new-moon expla9$ to be due to e>?-light4 ,i wi% 9 ?is place to assign ! cause ( ano!r lun> ph5om5on well wor?y ( notice1 & al?\gh ?is ph5om5on 0 obs]v$ by me n lately1 b _m ye>s ago1 & has be5 po9t$ out to "s ( my intimate fri5ds & pupils1 expla9$1 & assign$ to its true cause1 yet z ! obs]vation ( x is r5d]$ easi] & m vivid by ! help ( a telescope1 ,i h consid]$ t x w\ld n be unsuitably introduc$ 9 ?is place1 b ,i wi% to introduce x *iefly 9 ord] t ! connection & resemblance betwe5 ! ,moon & ! ,e>? may appe> m pla9ly4 ,:5 ! ,moon1 bo? be=e & aft] conjunction1 is f\nd n f> f ! ,sun1 n only does its orb %[ itself to our sight on ! side :]e x is furni%$ ) %9+ horns1 b a slight & fa9t circumf]5ce is also se5 to m>k out ! circle ( ! d>k "p1 t "p1 namely1 :i* is turn$ away f ! ,sun1 & to sep>ate x f ! d>k] backgr\nd ( ! sky4 ,b if we exam9e ! matt] m closely1 we %all see t n only is ! extreme edge ( ! "p 9 %ad[ %9+ ) a fa9t brightness1 b t ! entire face ( ! ,moon1 t side1 t is1 :i* does n feel ! ,sun's gl>e1 is illum9at$ ) a pale light ( consid]able brightness4 ,at ! fir/ glance only a f9e circumf]5ce appe>s %9+1 on acc\nt ( ! d>k] "p ( ! sky adjac5t to x2 :]eas1 on ! contr>y1 ! re/ ( ! surface appe>s d>k1 on acc\nt ( ! contiguity ( ! %9+ horns1 :i* de/roys ! cle>ness ( our sight4 ,b if any "o *ooses su* a position = himself1 t by ! int]position ( a ro(1 or a *imney1 or "s o!r object betwe5 8 sight & ! ,moon1 b at a consid]able di/ance f 8 eye1 ! %9+ horns are hidd51 & ! re/ ( ! ,moon's orb is left expos$ to 8 view1 !n he w f9d t ?is tract ( ! ,moon also1 al?\gh depriv$ ( sunlight1 gleams ) consid]able light1 & p>ticul>ly s if ! gloom ( ! night has already deep5$ ?r\gh ! abs5ce ( ! ,sun2 = ) a d>k] backgr\nd ! same light appe>s bright]4 ,moreov]1 x is f\nd t ?is second>y brightness ( ! ,moon1 z ,i may call x1 is great] 9 proportion z ! ,moon is less di/ant f ! ,sun2 = x abates m & m 9 proportion to ! ,moon's di/ance f t body1 s mu* s t aft] ! fir/ qu>t]1 & be=e ! end ( ! second1 x is f\nd to be weak & v fa9t1 al?\gh x be obs]v$ 9 a d>k] sky2 :]eas1 at an angul> di/ance ( #fj or less1 ev5 dur+ twilight1 x is wond]fully bright1 s bright inde$ t1 ) ! help ( a good telescope1 ! great spots may be di/+ui%$ 9 x4 ,?is /range brightness has af=d$ no small p]plexity to philosophical m9ds2 & "s h publi%$ "o ?+1 "s ano!r1 z ! cause to be alleg$ = x4 ,"s h said t x is ! inh]5t & natural brightness ( ! ,moon2 "s t x is imp>t$ to t body by ! planet ,v5us2 or1 z o!rs ma9ta91 by all ! />s2 :ile "s h said t x comes f ! ,sun1 ^: rays1 !y say1 f9d a way ?r\gh ! solid mass ( ! ,moon4 ,b /atem5ts ( ?is k9d are disprov$ )\t mu* difficulty1 & conv9c+ly demon/rat$ to be false4 ,= if ?is k9d ( light 7 ! ,moon's own1 or 7 contribut$ by ! />s1 ! ,moon w\ld reta9 x1 p>ticul>ly 9 eclipses1 & w\ld %[ x !n1 :5 left 9 an unusually d>k sky1 b ?is is contr>y to exp]i5ce4 ,= ! brightness :i* is se5 on ! ,moon 9 eclipses is f> less int5se1 be+ some:at r$di%1 & almo/ copp]-col\r$1 :]eas ?is is bright] & :it]2 besides1 ! brightness se5 dur+ an eclipse is *angeable & %ift+1 = x w&]s ov] ! face ( ! ,moon1 s t t "p :i* is ne> ! circumf]5ce ( ! circle ( %ad[ ?r[n by ! ,e>? is bright1 b ! re/ ( ! ,moon is always se5 to be d>k4 ,f :i* circum/ance we und]/& )\t hesitation t ?is brightness is due to ! proximity ( ! ,sun's rays com+ into contact ) "s d5s] region :i* surr\nds ! ,moon z an envelope2 ow+ to :i* contact a sort ( dawn-light is diffus$ ov] ! neighb\r+ regions ( ! ,moon1 j z ! twilight spreads 9 ! morn+ & ev5+ on ! ,e>?3#aa b ,i w treat m fully ( ?is matt] 9 my book ^u ! ,sy/em ( ! ,univ]se4#ab #aa ,! illum9ation ( ! ,moon 9 eclipses1 notic$ by ,galileo1 is n[ ref]r$ to ! refraction ( ! sunlight by ! e>?'s atmosph]e1 & ! r$di% col\r ( ! light is expla9$ by ,h]s*el 7,outl9es ( ,a/ronomy1 *4 vii47 to be due to ! absorption ( ! violet & blue rays by ! aque\s vap\r ( ! ,e>?'s atmosph]e4 ,! idea ( a s5sible lun> atmosph]e is n 9 accordance ) ! obs]v$ ph5om5a ( ! occultations ( />s4 #ab ,galileo's ,sy/ema ,mundi4 ,ow+ to ! viol5t opposition provok$ by ! discussion ( ! discov]ies ( ,galileo1 & _! be>+ on ! ,cop]nican sy/em ( a/ronomy1 ,galileo seems to h f\nd x necess>y to delay ! publication ( ?is "w until #afcb1 :51 believ+ himself safe "u ! fri5d%ip & patronage ( ,pope ,urban ,,viii4 & o!rs 9 p[] at ,rome1 he at l5g? publi%$ x4 ,urban1 h[ev]1 n[ turn$ aga9/ him1 d5\nc$ ! book & its au?or1 & summon$ him to ,rome1 :]e ! well-kn[n incid5ts ( 8 trial & condemnation took place4 ,aga91 to ass]t t ?is sort ( light is imp>t$ to ! ,moon by ! planet ,v5us is s *ildi% z to be undes]v+ ( an answ]2 = :o is s ignorant z n to und]/& t at conjunction & )9 an angul> di/ance ( #fj x is q impossible = ! "p ( ! ,moon turn$ away f ! ,sun to be se5 by ! planet ,v5us8 ,b t ?is light is d]iv$ f ! ,sun p5etrat+ ) its light ! solid mass ( ! ,moon1 & r5d]+ x lum9\s1 is equally unt5able4 ,= !n ?is light w\ld nev] less51 s9ce ! hemisph]e ( ! ,moon is always illum9$ by ! ,sun1 except at ! mom5t ( a lun> eclipse1 yet really x quickly decreases :ile ! ,moon is draw+ ne> to ! end ( h] fir/ qu>t]1 & :5 %e has pass$ h] fir/ qu>t] x becomes q dull4 ,s9ce1 !re=e1 ?is k9d ( second>y brightness is n inh]5t & ! ,moon's own1 nor borr[$ f any ( ! />s1 nor f ! ,sun1 & s9ce !re n[ rema9s 9 ! :ole univ]se no o!r body :atev] except ! ,e>?1 :at1 pray1 mu/ we conclude8 ,:at mu/ we ass]t8 ,%all we ass]t t ! body ( ! ,moon1 or "s o!r d>k & sunless orb1 receives light f ! ,e>?8 ,:y %\ld x n be ! ,moon8 ,& mo/ c]ta9ly x is4 ,! ,e>?1 ) fair & grateful ex*ange1 pays back to ! ,moon an illum9ation l t :i* x receives f ! ,moon ne>ly ! :ole "t dur+ ! d>ke/ gloom ( night4 ,let me expla9 ! matt] m cle>ly4 ,at conjunction1 :5 ! ,moon occupies a position betwe5 ! ,sun & ! ,e>?1 ! ,moon is illum9at$ by ! ,sun's rays on h] half t[>ds ! ,sun :i* is turn$ away f ! ,e>?1 & ! o!r half1 ) :i* %e reg>ds ! ,e>?1 is cov]$ ) d>kness1 & s 9 no degree illum9es ! ,e>?'s surface4 ,:5 ! ,moon has slightly sep>at$ f ! ,sun1 /raightway %e is p>tly illum9$ on ! half direct$ t[>ds u2 %e turns t[>ds u a sl5d] silv]y cresc5t1 & slightly illum9es ! ,e>?2 ! ,sun's illum9ation increases ^u ! ,moon z %e approa*es h] fir/ qu>t]1 & ! reflexion ( t light increases on ! ,e>?2 ! brightness 9 ! ,moon next ext5ds beyond ! semicircle1 & our nights gr[ bright]2 at l5g? ! entire face ( ! ,moon look+ t[>ds ! ,e>? is irradiat$ ) ! mo/ int5se brightness by ! ,sun1 :i* happ5s :5 ! ,sun & ,moon are on opposite sides ( ! ,e>?2 !n f> & wide ! surface ( ! ,e>? %9es ) ! flood ( moonlight2 aft] ?is ! ,moon1 n[ wan+1 s5ds out less p[]ful beams1 & ! ,e>? is illum9$ less p[]fully2 at l5g? ! ,moon draws ne> h] fir/ position ( conjunction ) ! ,sun1 & =?) black night invades ! ,e>?4 ,9 su* a cycle ! moonlight gives u ea* mon? alt]nations ( bright] & fa9t] illum9ation4 ,b ! b5efit ( h] light to ! ,e>? is balanc$ & repaid by ! b5efit ( ! light ( ! ,e>? to h]2 = :ile ! ,moon is f\nd ne> ! ,sun ab\t ! "t ( conjunction1 %e has 9 front ( h] ! entire surface ( t hemisph]e ( ! ,e>? :i* is expos$ to ! ,sun1 & vividly illum9$ ) 8 beams1 & s receives light reflect$ f ! ,e>?4 ,ow+ to su* reflexion1 ! hemisph]e ( ! ,moon ne>] to u1 ?\gh depriv$ ( sunlight1 appe>s ( consid]able brightness4 ,aga91 :5 remov$ f ! ,sun ?r\gh a quadrant1 ! ,moon sees only "o-half ( ! ,e>?'s hemisph]e illum9at$1 namely ! we/]n half1 = ! o!r1 ! ea/]n1 is cov]$ ) ! %ades ( night2 ! ,moon is1 !re=e1 less brightly enlight5$ by ! ,e>?1 & accord+ly t second>y light appe>s fa9t] to u4 ,b if y imag9e ! ,moon to be set on ! opposite side ( ! ,e>? to ! ,sun1 %e w see ! hemisph]e ( ! ,e>?1 n[ betwe5 ! ,moon & ! ,sun1 q d>k1 & /eep$ 9 ! gloom ( night2 if1 !re=e1 an eclipse %\ld accompany su* a position ( ! ,moon1 %e w receive no light at all1 be+ depriv$ ( ! illum9ation ( ! ,sun & ,e>? toge!r4 ,9 any o!r position1 ) reg>d to ! ,e>? & ! ,sun1 ! ,moon receives m or less light by reflexion f ! ,e>?1 accord+ z %e sees a great] or small] portion ( ! hemisph]e ( ! ,e>? illum9at$ by ! ,sun2 = su* a law is obs]v$ betwe5 ^! two orbs1 t at :atev] times ! ,e>? is mo/ brightly enlight5$ by ! ,moon1 at ^? times1 on ! contr>y1 ! ,moon is lea/ enlight5$ by ! ,e>?2 & contr>iwise4 ,let ^! few words on ?is subject suffice 9 ?is place2 = ,i w consid] x m fully 9 my ,sy/em ( ! ,univ]se1 :]e1 by v _m argum5ts & exp]im5tal pro(s1 !re is %[n to be a v /rong reflexion ( ! ,sun's light f ! ,e>?1 = ! b5efit ( ^? :o urge t ! ,e>? mu/ be sep>at$ f ! />ry ho/1 *iefly = ! reason t x has nei!r motion nor light1 = ,i w prove t ! ,e>? has motion1 & surpasses ! ,moon 9 brightness1 & is n ! place :]e ! dull refuse ( ! univ]se has settl$ d[n2 & ,i w support my demon/ration by a ?\s& argum5ts tak5 f natural ph5om5a4 ,sid5ote3 ,/>s4 ,_! appe>ance 9 ! telescope4 ,hi!rto ,i h spok5 ( ! obs]vations :i* ,i h made conc]n+ ! ,moon's body2 n[ ,i w briefly ann\nce ! ph5om5a :i* h be51 z yet1 se5 by me ) ref]5ce to ! ,fix$ ,/>s4 ,& fir/ ( all ! foll[+ fact is wor?y ( consid]ation3--,! />s1 fix$ z well z erratic1 :5 se5 ) a telescope1 by no means appe> to be increas$ 9 magnitude 9 ! same proportion z o!r objects1 & ! ,moon h]self1 ga9 increase ( size2 b 9 ! case ( ! />s su* increase appe>s mu* less1 s t y may consid] t a telescope1 :i* 7= ! sake ( illu/ration7 is p[]ful en\gh to magnify o!r objects a hundr$ times1 w sc>cely r5d] ! />s magnifi$ f\r or five times4 ,b ! reason ( ?is is z foll[s3--,:5 />s are view$ ) our natural eyesight !y d n pres5t !mselves to u ( _! b>e1 real size1 b beam+ ) a c]ta9 vividness1 & fr+$ ) sp>kl+ rays1 especially :5 ! night is f> advanc$2 & f ?is circum/ance !y appe> mu* l>g] ?an !y w\ld if !y 7 /ripp$ ( ^? adv5titi\s fr+es1 = ! angle :i* !y subt5d at ! eye is det]m9$ n by ! prim>y disc ( ! />1 b by ! brightness :i* s widely surr\nds x4 ,p]haps y w und]/& ?is mo/ cle>ly f ! well-kn[n circum/ance t :5 />s rise j at sunset1 9 ! beg9n+ ( twilight1 !y appe> v small1 al?\gh !y may be />s ( ! fir/ magnitude2 & ev5 ! planet ,v5us itself1 on any occasion :5 x may pres5t itself to view 9 broad daylight1 is s small to see t x sc>cely seems to equal a /> ( ! la/ magnitude4 ,x is diff]5t 9 ! case ( o!r objects1 & ev5 ( ! ,moon1 :i*1 :e!r view$ 9 ! light ( midday or 9 ! dep? ( night1 always appe>s ( ! same size4 ,we conclude !re=e t ! />s are se5 at midnight 9 uncurtail$ glory1 b _! fr+es are ( su* a nature t ! daylight c cut !m (f1 & n only daylight1 b any slight cl\d :i* may be int]pos$ betwe5 a /> & ! eye ( ! obs]v]4 ,a d>k veil or col\r$ glass has ! same effect1 =1 ^u plac+ !m be=e ! eye betwe5 x & ! />s1 all ! blaze t surr\nds !m leaves !m at once4 ,a telescope also accompli%es ! same result1 = x removes f ! />s _! adv5titi\s & accid5tal spl5d\rs be=e x enl>ges _! true discs 7if inde$ !y are ( t %ape71 & s !y seem less magnifi$ ?an o!r objects1 = a /> ( ! fif? or six? magnitude se5 ?r\gh a telescope is %[n z ( ! fir/ magnitude only4 ,! diff]5ce betwe5 ! appe>ance ( ! planets & ! fix$ />s seems also des]v+ ( notice4 ,! planets pres5t _! discs p]fectly r\nd1 j z if describ$ ) a pair ( compasses1 & appe> z s _m little moons1 completely illum9at$ & ( a globul> %ape2 b ! fix$ />s d n look to ! nak$ eye b\nd$ by a circul> circumf]5ce1 b r l blazes ( light1 %oot+ out beams on all sides & v sp>kl+1 & ) a telescope !y appe> ( ! same %ape z :5 !y are view$ by simply look+ at !m1 b s mu* l>g] t a /> ( ! fif? or six? magnitude seems to equal ,sirius1 ! l>ge/ ( all ! fix$ />s4#ac #ac ,! imm5se di/ance ( />s makes x impossible = !m to be magnifi$ by any telescope1 h[ev] p[]ful2 ! app>5t or spuri\s disc is an optical effect1 :i* dep5ds on ! telescope us$1 & is smalle/ ) ! l>ge/ ap]ture4 ,illu/ration3 ,orion's ,belt & ,sword2 #hc ,/>s ,illu/ration3 ,pleiades2 #cf ,/>s ,galileo3 8,sid]eus ,nuncius40 ,sid5ote3 ,telescopic ,/>s3 _! inf9ite multitude4 ,z examples1 ,orion's ,belt & ,sword & ! ,pleiades are describ$ z se5 by ,galileo4 ,b beyond ! />s ( ! six? magnitude y w behold ?r\gh ! telescope a ho/ ( o!r />s1 :i* escape ! unassi/$ sight1 s num]\s z to be almo/ beyond belief1 = y may see m ?an six o!r diff]5ces ( magnitude1 & ! l>ge/ ( ^!1 :i* ,i may call />s ( ! sev5? magnitude1 or ( ! fir/ magnitude ( invisible />s1 appe> ) ! aid ( ! telescope l>g] & bright] ?an />s ( ! second magnitude se5 ) ! unassi/$ sight4 ,b 9 ord] t y may see "o or two pro(s ( ! inconceivable mann] 9 :i* !y are cr[d$ toge!r1 ,i h det]m9$ to make out a case aga9/ two />-clu/]s1 t f !m z a specim5 y may decide ab\t ! re/4 ,z my fir/ example ,i _h det]m9$ to depict ! entire con/ellation ( ,orion1 b ,i 0 ov]:elm$ by ! va/ quantity ( />s & by want ( "t1 & s ,i h def]r$ attempt+ ?is to ano!r occasion1 = !re are adjac5t to1 or scatt]$ among1 ! old />s m ?an five hundr$ new />s )9 ! limits ( "o or two degrees4 ,= ?is reason ,i h select$ ! ?ree />s 9 ,orion's ,belt & ! six 9 8 ,sword1 :i* h be5 long well-kn[n gr\ps1 & ,i h add$ eighty o!r />s rec5tly discov]$ 9 _! vic9ity1 & ,i h pres]v$ z exactly z possible ! int]vals betwe5 !m4 ,! well-kn[n or old />s1 = ! sake ( di/9ction1 ,i h depict$ ( l>g] size1 & ,i h outl9$ !m ) a d\ble l9e2 ! o!rs1 invisible to ! nak$ eye1 ,i h m>k$ small] & ) "o l9e only4 ,i h also pres]v$ ! diff]5ces ( magnitude z mu* z ,i c\ld4 ,z a second example ,i h depict$ ! six />s ( ! con/ellation ,taurus1 call$ ! ,pleiades 7,i say six int5tionally1 s9ce ! sev5? is sc>cely ev] visible71 a gr\p ( />s :i* is enclos$ 9 ! heav5s )9 v n>r[ prec9cts4 ,ne> ^! !re lie m ?an =ty o!rs invisible to ! nak$ eye1 no "o ( :i* is mu* m ?an half a degree (f any ( ! a=esaid six2 ( ^! ,i h notic$ only ?irty-six 9 my diagram4 ,i h pres]v$ _! int]vals1 magnitudes1 & ! di/9ction betwe5 ! old & ! new />s1 j z 9 ! case ( ! con/ellation ,orion4 ,sid5ote3 ,! ,milky ,way consi/s entirely ( />s 9 c\ntless numb]s & ( v>i\s magnitudes4 ,! next object :i* ,i h obs]v$ is ! ess5ce or sub/ance ( ! ,milky ,way4 ,by ! aid ( a telescope any "o may behold ?is 9 a mann] :i* s di/9ctly appeals to ! s5ses t all ! disputes :i* h torm5t$ philosoph]s ?r\gh s _m ages are explod$ at once by ! irrefragable evid5ce ( our eyes1 & we are fre$ f wordy disputes ^u ?is subject1 = ! ,galaxy is no?+ else b a mass ( innum]able />s plant$ toge!r 9 clu/]s4 ,^u :atev] "p ( x y direct ! telescope /raightway a va/ cr[d ( />s pres5ts itself to view2 _m ( !m are tol]ably l>ge & extremely bright1 b ! numb] ( small ones is q beyond det]m9ation4 ,illu/ration3 ,/>-clu/] 9 ,orion's ,head ,illu/ration3 ,/>-clu/] ( ,praesepe 9 ,canc] ,galileo3 8,sid]eus ,nuncius10 ,v5ice1 #afaj4 ,sid5ote3 ,nebul resolv$ into clu/]s ( />s3 z examples1 ! nebul 9 ,orion's ,head & ,prsepe4 ,& :]eas t milky brightness1 l ! brightness ( a :ite cl\d1 is n only to be se5 9 ! ,milky ,way1 b sev]al spots ( a simil> col\r %9e fa9tly "h & !re 9 ! heav5s1 if y turn ! telescope ^u any ( !m y w f9d a clu/] ( />s pack$ close toge!r4 ,fur!r--& y w be m surpris$ at ?is1--! />s :i* h be5 call$ by e "o ( ! a/ronom]s up to ?is day nebul\s1 are gr\ps ( small />s set ?ick toge!r 9 a wond]ful way1 & al?\gh ea* "o ( !m on acc\nt ( its smallness1 or its imm5se di/ance f u1 escapes our sight1 f ! comm+l+ ( _! rays !re arises t brightness :i* has hi!rto be5 believ$ to be ! d5s] "p ( ! heav5s1 able to reflect ! rays ( ! />s or ! ,sun4 ,i h obs]v$ "s ( ^!1 & ,i wi% to subjo9 ! />-clu/]s ( two ( ^! nebul4 ,fir/1 y h a diagram ( ! nebula call$ t ( ,orion's ,head1 9 :i* ,i h c\nt$ tw5ty-"o />s4 ,! second clu/] conta9s ! nebula call$ ,prsepe1 :i* is n "o /> only1 b a mass ( m ?an =ty small />s4 ,i h notic$ ?irty-six />s1 besides ! ,aselli1 arrang$ 9 ! ord] ( ! accompany+ diagram4 ,sid5ote3 ,discov]y ( ,jupit]'s satellites1 ,jan4 #g1 #afaj3 record ( ,galileo's obs]vations dur+ two mon?s4 ,i h n[ f9i%$ my brief acc\nt ( ! obs]vations :i* ,i h ?us f> made ) reg>d to ! ,moon1 ! ,fix$ ,/>s1 & ! ,galaxy4 ,!re rema9s ! matt]1 :i* seems to me to des]ve to be consid]$ ! mo/ important 9 ?is "w1 namely1 t ,i %\ld disclose & publi% to ! _w ! occasion ( discov]+ & obs]v+ f\r ,,planets1 nev] se5 f ! v beg9n+ ( ! _w up to our own times1 _! positions1 & ! obs]vations made dur+ ! la/ two mon?s ab\t _! movem5ts & _! *anges ( magnitude2 & ,i summon all a/ronom]s to apply !mselves to exam9e & det]m9e _! p]iodic times1 :i* x has n be5 p]mitt$ me to a*ieve up to ?is day1 ow+ to ! re/riction ( my "t4 ,i give !m w>n+ h[ev] aga91 s t !y may n approa* su* an inquiry to no purpose1 t !y w want a v accurate telescope1 & su* z ,i h describ$ 9 ! beg9n+ ( ?is acc\nt4 ,on ! #g? day ( ,janu>y 9 ! pres5t ye>1 #afaj1 9 ! fir/#ad h\r ( ! foll[+ night1 :5 ,i 0 view+ ! con/ellations ( ! heav5s ?r\gh a telescope1 ! planet ,jupit] pres5t$ itself to my view1 & z ,i _h prep>$ = myself a v excell5t in/rum5t1 ,i notic$ a circum/ance :i* ,i _h nev] be5 able to notice be=e1 ow+ to want ( p[] 9 my o!r telescope1 namely1 t ?ree little />s1 small b v bright1 7 ne> ! planet2 & al?\gh ,i believ$ !m to belong to ! numb] ( ! fix$ />s1 yet !y made me some:at wond]1 because !y seem$ to be arrang$ exactly 9 a /raight l9e1 p>allel to ! ecliptic1#ae & to be bright] ?an ! re/ ( ! />s1 equal to !m 9 magnitude4 ,! position ( !m ) ref]5ce to "o ano!r & to ,jupit] 0 z foll[s 7,fig4 #a74 #ad ,! times ( ,galileo's obs]vations are to be und]/ood z reckon$ f sunset4 #ae ,! satellites ( ,jupit] revolve 9 planes v ne>ly1 al?\gh n exactly1 co9cid5t ) t ( ! equator ( ! planet1 :i* is incl9$ #c #e #cj to ! orbit ( ! planet1 & ! plane ( ! orbit is incl9$ #a #ah #ea to ! ecliptic4 ,on ! ea/ side !re 7 two />s1 & a s+le "o t[>ds ! we/4 ,! /> :i* 0 fur!/ t[>ds ! ea/1 & ! we/]n />1 appe>$ r l>g] ?an ! ?ird4 ,i sc>cely tr\bl$ at all ab\t ! di/ance betwe5 !m & ,jupit]1 =1 z ,i h already said1 at fir/ ,i believ$ !m to be fix$ />s2 b :5 on ,janu>y #h?1 l$ by "s fatality1 ,i turn$ aga9 to look at ! same "p ( ! heav5s1 ,i f\nd a v diff]5t /ate ( ?+s1 = !re 7 ?ree little />s all we/ ( ,jupit]1 & ne>] toge!r ?an on ! previ\s night1 & !y 7 sep>at$ f "o ano!r by equal int]vals1 z ! accompany+ illu/ration 7,fig4 #b7 %[s4 ,at ?is po9t1 al?\gh ,i _h n turn$ my ?\ghts at all ^u ! approximation ( ! />s to "o ano!r1 yet my surprise began to be excit$1 h[ ,jupit] c\ld "o day be f\nd to ! ea/ ( all ! a=esaid fix$ />s :5 ! day be=e x _h be5 we/ ( two ( !m2 & =?) ,i became afraid le/ ! planet might h mov$ diff]5tly f ! calculation ( a/ronom]s1 & s _h pass$ ^? />s by its own prop] motion4 ,i !re=e wait$ = ! next night ) ! mo/ int5se long+1 b ,i 0 disappo9t$ ( my hope1 = ! sky 0 cov]$ ) cl\ds 9 e direction4 ,b on ,janu>y #aj? ! />s appe>$ 9 ! foll[+ position ) reg>d to ,jupit]2 !re 7 two only1 & bo? on ! ea/ side ( ,jupit]1 ! ?ird1 z ,i ?\ght1 be+ hidd5 by ! planet 7,fig4 #c74 ,!y 7 situat$ j z be=e1 exactly 9 ! same /raight l9e ) ,jupit]1 & along ! ,zodiac4 ,:5 ,i _h se5 ^! ph5om5a1 z ,i knew t correspond+ *anges ( position c\ld n by any means belong to ,jupit]1 & z1 moreov]1 ,i p]ceiv$ t ! />s :i* ,i saw _h be5 always ! same1 = !re 7 no o!rs ei!r 9 front or beh9d1 )9 a great di/ance1 along ! ,zodiac1--at l5g?1 *ang+ f d\bt into surprise1 ,i discov]$ t ! int]*ange ( position :i* ,i saw belong$ n to ,jupit]1 b to ! />s to :i* my att5tion _h be5 drawn1 & ,i ?\ght !re=e t !y ought to be obs]v$ h5ce=w>d ) m att5tion & precision4 ,accord+ly1 on ,janu>y #aa? ,i saw an arrangem5t ( ! foll[+ k9d 7,fig4 #d71 namely1 only two />s to ! ea/ ( ,jupit]1 ! ne>] ( :i* 0 di/ant f ,jupit] ?ree times z f> z f ! /> fur!r to ! ea/2 & ! /> fur!/ to ! ea/ 0 ne>ly twice z l>ge z ! o!r "o2 :]eas on ! previ\s night !y _h appe>$ ne>ly ( equal magnitude4 ,i !re=e conclud$1 & decid$ unhesitat+ly1 t !re are ?ree />s 9 ! heav5s mov+ ab\t ,jupit]1 z ,v5us & ,m]cury r\nd ! ,sun2 :i* at l5g? 0 e/abli%$ z cle> z daylight by num]\s o!r subsequ5t obs]vations4 ,^! obs]vations also e/abli%$ t !re are n only ?ree1 b f\r1 erratic sid]eal bodies p]=m+ _! revolutions r\nd ,jupit]1 obs]vations ( ^: *anges ( position made ) m exactness on succe$+ nights ! foll[+ acc\nt w supply4 ,i h measur$ also ! int]vals betwe5 !m ) ! telescope 9 ! mann] already expla9$4 ,besides ?is1 ,i h giv5 ! times ( obs]vation1 especially :5 sev]al 7 made 9 ! same night1 = ! revolutions ( ^! planets are s swift t an obs]v] may g5]ally get diff]5ces ( position e h\r4 ,jan4 #ab4--;,at ! fir/ h\r ( ! next night ,i saw ^! heav5ly bodies arrang$ 9 ?is mann] 7,fig4 #e74 ,! satellite#af fur!/ to ! ea/ 0 great] ?an ! satellite fur!/ to ! we/2 b bo? 7 v conspicu\s & bright2 ! di/ance ( ea* "o f ,jupit] 0 two m9utes4 ,a ?ird satellite1 c]ta9ly n 9 view be=e1 began to appe> at ! ?ird h\r2 x ne>ly t\*$ ,jupit] on ! ea/ side1 & 0 exce$+ly small4 ,!y 7 all arrang$ 9 ! same /raight l9e1 along ! ecliptic4 #af ,galileo cont9ues to call ^! bodies />s1 p]haps mean+ 8,m$icean />s10 ?r\gh\t ! description ( _! configurations1 b z he _h n[ detect$ _! nature1 x is m conv5i5t to call !m satellites1 ! t]m introduc$ by ,kepl]4 ,jan4 #ac4--;,= ! fir/ "t f\r satellites 7 9 view 9 ! foll[+ position ) reg>d to ,jupit] 7,fig4 #f74 ,!re 7 ?ree to ! we/1 & "o to ! ea/2 !y made a /raight l9e ne>ly1 b ! middle satellite ( ^? to ! we/ deviat$ a little f ! /raight l9e t[>ds ! nor?4 ,! satellite fur!/ to ! ea/ 0 at a di/ance ( #b f ,jupit]2 !re 7 int]vals ( #a only betwe5 ,jupit] & ! ne>e/ satellite1 & betwe5 ! satellites !mselves1 we/ ( ,jupit]4 ,all ! satellites appe>$ ( ! same size1 & ?\gh small !y 7 v brilliant1 & f> out%one ! fix$ />s ( ! same magnitude4 ,jan4 #ad4--,! wea!r 0 cl\dy4 ,jan4 #ae4--;,at ! ?ird h\r ( ! night ! f\r satellites 7 9 ! /ate depict$ 9 ! next diagram 7,fig4 #g7 ) ref]5ce to ,jupit]4 ,all 7 to ! we/1 & arrang$ ne>ly 9 ! same /raight l9e2 b ! satellite :i* c\nt$ ?ird f ,jupit] 0 rais$ a little to ! nor?4 ,! ne>e/ to ,jupit] 0 ! smalle/ ( all2 ! re/ appe>$ l>g] & 9 ord] ( magnitude2 ! int]vals betwe5 ,jupit] & ! ?ree ne>e/ satellites 7 all equal1 & 7 ( ! magnitude ( #b ea*2 b ! satellite fur!/ to ! we/ 0 di/ant #d f ! satellite ne>e/ to x4 ,!y 7 v brilliant1 & n at all tw9kl+1 z !y h always appe>$ bo? be=e & s9ce4 ,b at ! sev5? h\r !re 7 only ?ree satellites1 pres5t+ ) ,jupit] an appe>ance ( ! foll[+ k9d 7,fig4 #h74 ,!y 71 t is to say1 9 ! same /raight l9e to a hair2 ! ne>e/ to ,jupit] 0 v small1 & di/ant f ! planet #c2 ! di/ance ( ! second f ?is "o 0 #a2 & ( ! ?ird f ! second #d #cj4 ,b aft] ano!r h\r ! two middle satellites 7 /ill ne>]1 = !y 7 only #cj1 or less1 ap>t4 ,jan4 #af4--;,at ! fir/ h\r ( ! night ,i saw ?ree satellites arrang$ 9 ?is ord] 7,fig4 #i74 ,jupit] 0 betwe5 two ( !m1 :i* 7 at a di/ance ( #j #dj f ! planet on ei!r side1 & ! ?ird 0 we/ ( ,jupit] at a di/ance ( #h4 ,! satellites ne> to ,jupit] appe>$ bright] ?an ! satellite fur!r (f1 b n l>g]4 ,jan4 #ag1 aft] sunset #j h\rs #cj m9utes1 ! configuration 0 ( ?is k9d 7,fig4 #aj74 ,!re 0 "o satellite only to ! ea/1 at a di/ance ( #c f ,jupit]2 to ! we/ likewise !re 0 only "o satellite1 di/ant #aa f ,jupit]4 ,! satellite on ! ea/ appe>$ twice z l>ge z ! satellite to ! we/2 & !re 7 no m ?an ^! two4 ,b f\r h\rs aft]1 t is1 ne>ly at ! fif? h\r1 a ?ird satellite began to em]ge on ! ea/ side1 :i*1 be=e its appe>ance1 z ,i ?9k1 _h be5 jo9$ ) ! =m] ( ! two o!r satellites1 & ! position 0 ( ?is k9d 7,fig4 #aa74 ,! middle satellite 0 v ne> inde$ to ! satellite on ! ea/1 & 0 only #bj f x2 & 0 a little t[>ds ! s\? ( ! /raight l9e drawn ?r\gh ! two extreme satellites & ,jupit]4 ,jan4 #ah1 at #j h4 #bj m4 aft] sunset1 ! appe>ance 0 su* z ?is 7,fig4 #ab74 ,! satellite to ! ea/ 0 l>g] ?an ! we/]n "o1 & 0 at a di/ance f ,jupit] ( #h1 ! we/]n "o be+ at a di/ance ( #aj4 ,jan4 #ai4--;,at ! second h\r ( ! night ! relative position ( ! satellites 0 su* z ?is 7,fig4 #ac72 t is1 !re 7 ?ree satellites exactly 9 a /raight l9e ) ,jupit]1 "o to ! ea/1 at a di/ance ( #f f ,jupit]2 betwe5 ,jupit] & ! fir/ satellite to ! we/ 9 ord]1 !re 0 an int]val ( #e2 ?is satellite 0 #d (f ! o!r "o m to ! we/4 ,at t "t ,i 0 d\btful :e!r or no !re 0 a satellite betwe5 ! satellite to ! ea/ & ,jupit]1 b s v close to ,jupit] z almo/ to t\* ! planet2 b at ! fif? h\r ,i saw ?is satellite di/9ctly1 by t "t occupy+ exactly ! middle position betwe5 ,jupit] & ! ea/]n satellite1 s t ! configuration 0 ?us 7,fig4 #ad74 ,moreov]1 ! satellite :i* _h j come into view 0 v small2 yet at ! six? h\r x 0 ne>ly z l>ge z ! re/4 ,jan4 #bj3 #a h4 #ae m4--,a simil> arrangem5t 0 se5 7,fig4 #ae74 ,!re 7 ?ree satellites1 s small z sc>cely to be di/+ui%able2 _! di/ances f ,jupit]1 & f "o ano!r1 7 n m ?an #a4 ,i 0 d\btful :e!r on ! we/]n side !re 7 two satellites or ?ree4 ,ab\t ! six? h\r !y 7 gr\p$ 9 ?is way 7,fig4 #af74 ,! ea/]n satellite 0 twice z f> away f ,jupit] z be=e1 t is #b2 on ! we/]n side1 ! satellite 9 ! middle 0 di/ant f ,jupit] #j #dj1 & f ! satellite /ill fur!r to ! we/ #j #bj2 at l5g?1 at ! sev5? h\r1 ?ree satellites 7 se5 on ! we/]n side 7,fig4 #ag74 ,! satellite ne>e/ to ,jupit] 0 di/ant f ! planet #j #bj2 betwe5 ?is "o & ! satellite fur!/ to ! we/ !re 0 an int]val ( #dj1 b betwe5 ^! ano!r satellite 0 9 view slightly s\?w>d ( !m1 & n m ?an #aj (f ! mo/ we/]ly satellite4 ,jan4 #ba3 #j h4 #cj m4--,!re 7 ?ree satellites on ! ea/ side2 ! satellites & ,jupit] 7 at equal di/ances ap>t 7,fig4 #ah74 ,! int]vals 7 by e/imation #ej ea*4 ,!re 0 also "o satellite on ! we/1 di/ant #d f ,jupit]4 ,! satellite on ! ea/ side ne>e/ to ,jupit] 0 ! lea/ ( all4 ,jan4 #bb3 #b h4--,! gr\p+ ( ! satellites 0 simil> 7,fig4 #ai74 ,!re 0 an int]val ( #e f ! satellite on ! ea/ to ,jupit]2 f ,jupit] to ! satellite fur!/ to ! we/ #g4 ,! two int]ior satellites on ! we/]n side 7 #j #dj ap>t1 & ! satellite ne>] to ,jupit] 0 #a f ! planet4 ,! inn] satellites 7 small] ?an ! out] ones1 b !y 7 situat$ all 9 ! same /raight l9e1 along ! ecliptic1 except t ! middle ( ! ?ree we/]n satellites 0 slightly to ! s\? ( x1 b at ! six? h\r ( ! night !y appe>$ 9 ?is position 7,fig4 #bj74 ,! satellite on ! ea/ 0 v small1 at a di/ance f ,jupit] ( #e z be=e2 b ! ?ree satellites on ! we/ 7 sep>at$ by equal di/ances f ,jupit] & f ea* o!r2 & ! int]vals 7 ne>ly #a #bj ea*4 ,! satellite ne>e/ ,jupit] appe>$ small] ?an ! o!r two on ! same side1 b !y all appe>$ arrang$ exactly 9 ! same /raight l9e4 ,jan4 #bc1 at #j h4 #dj m4 aft] sunset1 ! gr\p+ ( ! satellites 0 ne>ly aft] ?is fa%ion 7,fig4 #ba74 ,!re 7 ?ree satellites ) ,jupit] 9 a /raight l9e along ! ecliptic1 z !y always h be52 two 7 on ! ea/ ( ! planet1 "o on ! we/2 ! satellite fur!/ to ! ea/ 0 #g f ! next "o1 & ?is satellite #b #dj f ,jupit]2 ,jupit] 0 #c #bj f ! satellite on ! we/2 & !y 7 all ( ne>ly ! same size4 ,b at ! fif? h\r ! two satellites :i* _h be5 previ\sly ne> ,jupit] 7 no long] visible1 be+1 z ,i suppose1 hidd5 beh9d ,jupit]1 & ! appe>ance pres5t$ 0 su* z ?is 7,fig4 #bb74 ,jan4 #bd4--,?ree satellites1 all on ! ea/ side1 7 visible1 & ne>ly1 b n q1 9 ! same /raight l9e ) ,jupit]1 = ! satellite 9 ! middle 0 slightly to ! s\? ( x 7,fig4 #bc74 ,! satellite ne>e/ to ,jupit] 0 #b di/ant f ! planet2 ! next 9 ord] #j #cj f ?is satellite1 & ! ?ird 0 #i fur!r (f /ill2 !y 7 all v bright4 ,b at ! six? h\r two satellites only pres5t$ !mselves to view 9 ?is position1 namely 9 ! same /raight l9e ) ,jupit] exactly1 & ! di/ance ( ! ne>e/ to ! planet 0 l5g!n$ to #c2 ! next 0 #b fur!r (f1 & unless ,i am mi/ak51 ! two satellites previ\sly obs]v$ 9 ! middle _h come toge!r1 & appe>$ z "o4 ,jan4 #be1 at #a h4 #dj m41 ! satellites 7 gr\p$ ?us 7,fig4 #bd74 ,!re 7 only two satellites on ! ea/ side1 & ^! 7 r l>ge4 ,! satellite fur!/ to ! ea/ 0 #e f ! satellite 9 ! middle1 & x 0 #f f ,jupit]4 ,jan4 #bf1 at #j h4 #dj m41 ! relative positions ( ! satellites 7 ?us 7,fig4 #be74 ,?ree satellites 7 9 view1 ( :i* two 7 ea/ & ! ?ird we/ ( ,jupit]2 ?is "o 0 di/ant #c f ! planet4 ,on ! ea/ side ! satellite 9 ! middle 0 at a di/ance ( #e #bj2 ! fur!r satellite 0 #f beyond2 !y 7 arrang$ 9 a /raight l9e1 & 7 ( ! same size4 ,at ! fif? h\r ! arrangem5t 0 ne>ly ! same1 ) ?is diff]5ce only1 t ! f\r? satellite 0 em]g+ on ! ea/ side ne> ,jupit]4 ,x 0 small] ?an ! re/1 & 0 !n at a di/ance ( #j #cj f ,jupit]2 b 0 rais$ a little above ! /raight l9e t[>ds ! nor?1 z ! accompany+ figure %[s 7,fig4 #bf74 ,jan4 #bg1 #a h4 aft] sunset1 a s+le satellite only 0 9 view1 & t on ! ea/ side ( ,jupit] 9 ?is position 7,fig4 #bg74 ,x 0 v small1 & at a di/ance ( #g f ,jupit]4 ,jan4 #bh & #bi4--,ow+ to ! int]v5tion ( cl\ds1 ,i c\ld make no obs]vation4 ,jan4 #cj4--;,at ! fir/ h\r ( ! night ! satellites 7 9 view1 arrang$ 9 ! foll[+ way 7,fig4 #bh74 ,!re 0 "o satellite on ! ea/ side1 at a di/ance ( #b #cj f ,jupit]2 & !re 7 two satellites on ! we/1 ( :i* ! "o ne>] to ,jupit] 0 #c (f ! planet1 & ! o!r satellite #a fur!r4 ,! places ( ! out] satellites & ,jupit] 7 9 ! same /raight l9e2 b ! satellite 9 ! middle 0 a little above x to ! nor?4 ,! satellite fur!/ to ! we/ 0 small] ?an ! re/4 ,on ! la/ day ( ! mon?1 at ! second h\r1 two satellites on ! ea/ side 7 visible1 & "o on ! we/ 7,fig4 #bi74 ,( ! satellites ea/ ( ! planet1 ! "o 9 ! middle 0 #b #bj di/ant f ,jupit]2 & ! satellite fur!r to ! ea/ 0 #j #cj f ! middle satellite2 ! satellite on ! we/ 0 at a di/ance ( #aj f ,jupit]4 ,!y 7 9 ! same /raight l9e ne>ly1 & w\ld h be5 exactly s1 only ! satellite on ! ea/ ne>e/ to ,jupit] 0 rais$ a little t[>ds ! nor?4 ,at ! f\r? h\r1 ! two satellites on ! ea/ 7 /ill ne>] toge!r1 = !y 7 only #bj ap>t 7,fig4 #cj74 ,! we/]n satellite appe>$ r small 9 ^! two obs]vations4 ,feb4 #a4--;,at ! second h\r ( ! night ! arrangem5t 0 simil> 7,fig4 #ca74 ,! satellite fur!/ to ! ea/ 0 at a di/ance ( #f f ,jupit]1 & ! we/]n satellite #h4 ,on ! ea/ side !re 0 a v small satellite1 at a di/ance ( #bj f ,jupit]4 ,!y made a p]fectly /raight l9e4 ,feb4 #b4--,! satellites 7 se5 arrang$ ?us 7,fig4 #cb74 ,!re 0 "o only on ! ea/1 at a di/ance ( #f f ,jupit]4 ,jupit] 0 #d f ! ne>e/ satellite on ! we/2 betwe5 ?is satellite & ! satellite fur!r to ! we/ !re 0 an int]val ( #h2 !y 7 9 ! same /raight l9e exactly1 & 7 ne>ly ( ! same magnitude4 ,b at ! sev5? h\r f\r satellites 7 !re--two on ea* side ( ,jupit] 7,fig4 #cc74 ,( ^! satellites1 ! mo/ ea/]ly 0 at a di/ance ( #d f ! next2 ?is satellite 0 #a #dj f ,jupit]2 ,jupit] 0 #f f ! ne>e/ satellite on ! we/1 & ?is "o f ! satellite fur!r to ! we/1 #h2 & !y 7 all alike 9 ! same /raight l9e1 drawn 9 ! direction ( ! ,zodiac4 ,feb4 #c3 #g h4--,! satellites 7 arrang$ 9 ! foll[+ way 7,fig4 #cd73--,! satellite on ! ea/ 0 at a di/ance ( #a #cj f ,jupit]2 ! ne>e/ satellite on ! we/1 #b1 & !re 0 a long di/ance1 #aj1 f ?is satellite to ! satellite fur!r to ! we/4 ,!y 7 exactly 9 ! same /raight l9e1 & ( equal magnitude4 ,feb4 #d3 #b h4--,f\r satellites att5d$ ,jupit]1 two on ! ea/ & two on ! we/1 arrang$ 9 "o p]fectly /raight l9e1 z 9 ! adjo9+ figure 7,fig4 #ce74 ,! satellite fur!/ to ! ea/ 0 at a di/ance ( #c f ! next satellite4 ,?is "o 0 #j #dj f ,jupit]2 ,jupit] #d f ! ne>e/ satellite on ! we/2 & ?is "o f ! satellite fur!r to ! we/ #f4 ,9 magnitude !y 7 ne>ly equal2 ! satellite ne>e/ to ,jupit] 0 r small] 9 appe>ance ?an ! re/4 ,b at ! sev5? h\r 7,fig4 #cf7 ! ea/]n satellites 7 at a di/ance ( only #j #cj ap>t4 ,jupit] 0 #b f ! ne>e/ satellite on ! ea/2 & f ! satellite on ! we/1 next 9 ord]1 #d2 ?is "o 0 di/ant #c f ! satellite fur!r to ! we/4 ,!y 7 all equal 9 magnitude1 & 9 a /raight l9e1 drawn 9 ! direction ( ! ecliptic4 ,feb4 #e4--,! sky 0 cl\dy4 ,feb4 #f4--,two satellites only appe>$1 ) ,jupit] betwe5 !m1 z is se5 9 ! accompany+ figure 7,fig4 #cg74 ,! satellite on ! ea/ 0 #b f ,jupit]1 & t on ! we/ #c4 ,!y 7 9 ! same /raight l9e ) ,jupit]1 & 7 equal 9 magnitude4 ,feb4 #g4--,!re 7 two satellites by ! side ( ,jupit]1 & bo? ( !m on ! ea/ ( ! planet1 arrang$ 9 ?is mann] 7,fig4 #ch74 ,! int]vals betwe5 ! satellites & ,jupit] 7 equal1 & ( #a ea*2 & a /raight l9e w\ld g ?r\gh !m & ! c5tre ( ,jupit]4 ,feb4 #h3 #a h4--,?ree satellites 7 !re1 all on ! ea/ side ( ,jupit]1 z 9 ! diagram 7,fig4 #ci74 ,! ne>e/ to ,jupit]1 a r small "o1 0 di/ant f ! planet #a #bj2 ! middle "o 0 #d f ?is satellite1 & 0 r l>ge2 ! satellite fur!/ to ! ea/1 a v small "o1 0 at a di/ance ( #j #bj f ?is satellite4 ,x 0 d\btful :e!r !re 0 "o satellite ne> to ,jupit] or two1 = sometimes x seem$ t !re 0 ano!r satellite by its side t[>ds ! ea/1 wond]fully small1 & only #aj f x4 ,!y 7 all situat$ at po9ts 9 a /raight l9e drawn 9 ! direction ( ! ,zodiac4 ,at ! ?ird h\r ! satellite ne>e/ to ,jupit] 0 almo/ t\*+ ! planet1 = x 0 only di/ant #aj f x2 b ! o!rs _h become fur!r (f1 = ! middle "o 0 #f f ,jupit]4 ,at l5g?1 at ! f\r? h\r1 ! satellite :i* 0 previ\sly ! ne>e/ to ,jupit] jo9$ ) ! planet & disappe>$4 ,feb4 #i3 #j h4 #cj m4--,!re 7 two satellites on ! ea/ side ( ,jupit]1 & "o on ! we/1 9 an arrangem5t su* z ?is 7,fig4 #dj74 ,! satellite fur!/ to ! ea/1 :i* 0 a r small "o1 0 di/ant #d f ! next satellite2 ! satellite 9 ! middle 0 l>g]1 & at a di/ance ( #g f ,jupit]4 ,jupit] 0 di/ant #d f ! we/]n satellite1 :i* 0 a small "o4 ,feb4 #aj3 #a h4 #cj m4--,a pair ( satellites1 v small1 & bo? on ! ea/ ( ! planet1 7 visible1 9 ! foll[+ position 7,fig4 #da74 ,! fur!r satellite 0 di/ant f ,jupit] #aj1 ! ne>] #j #bj1 & !y 7 9 ! same /raight l9e2 b at ! f\r? h\r ! satellite ne>e/ to ,jupit] no long] appe>$1 & ! o!r seem$ s dim9i%$ t x c\ld sc>cely be kept 9 sight1 al?\gh ! atmosph]e 0 q cle>1 & ! satellite 0 fur!r f ,jupit] ?an be=e1 s9ce its di/ance 0 n[ #ab4 ,feb4 #aa3 #a h4--,!re 7 two satellites on ! ea/1 & "o on ! we/ 7,fig4 #db74 ,! we/]n satellite 0 at a di/ance ( #d f ,jupit]4 ,! satellite on ! ea/1 ne>e/ to ! planet1 0 likewise #d f ,jupit]2 b ! satellite fur!r to ! ea/ 0 at a di/ance f ?is "o ( #h2 !y 7 fairly cle> to view1 & 9 ! same /raight l9e2 b at ! ?ird h\r ! f\r? satellite 0 visible ne> to ,jupit] on ! ea/1 less 9 magnitude ?an ! re/1 sep>at$ f ,jupit] by a di/ance ( #j #cj1 & slightly to ! nor? out ( ! /raight l9e drawn ?r\gh ! re/ 7,fig4 #dc74 ,!y 7 all v bright & extremely di/9ct1 b at #e h4 #cj m4 ! satellite on ! ea/ ne>e/ to ,jupit] _h mov$ fur!r away f ! planet1 & 0 occupy+ a position midway betwe5 ! planet & ! neighb\r+ satellite fur!r to ! ea/4 ,!y 7 all 9 ! same /raight l9e exactly1 & ( ! same magnitude1 z may be se5 9 ! accompany+ diagram 7,fig4 #dd74 ,feb4 #ab3 #j h4 #dj m4--,a pair ( satellites on ! ea/1 a pair likewise on ! we/1 7 ne> ! planet 7,fig4 #de74 ,! satellite on ! ea/ fur!/ remov$ f ,jupit] 0 at a di/ance ( #aj1 & ! fur!r ( ! satellites on ! we/ 0 #h (f4 ,!y 7 bo? fairly di/9ct4 ,! o!r two 7 v ne> to ,jupit]1 & v small1 especially ! satellite to ! ea/1 :i* 0 at a di/ance ( #j #dj f ,jupit]4 ,! di/ance ( ! we/]n satellite 0 #a4 ,b at ! f\r? h\r ! satellite :i* 0 ne>e/ to ,jupit] on ! ea/ 0 visible no long]4 ,feb4 #ac3 #j h4 #cj m4--,two satellites 7 visible 9 ! ea/1 two also 9 ! we/ 7,fig4 #df74 ,! satellite on ! ea/ ne> ,jupit] 0 fairly di/9ct2 its di/ance f ! planet 0 #b4 ,! satellite fur!r to ! ea/ 0 less noticeable2 x 0 di/ant #d f ! o!r4 ,( ! satellites on ! we/1 ! "o fur!/ f ,jupit]1 :i* 0 v di/9ct1 0 p>t$ f ! planet #d4 ,betwe5 ?is satellite & ,jupit] int]v5$ a small satellite close to ! mo/ we/]ly satellite1 be+ n m ?an #j #c (f4 ,!y 7 all 9 ! same /raight l9e1 correspond+ exactly to ! direction ( ! ecliptic4 ,feb4 #ae 7= on ! #ad? ! sky 0 cov]$ ) cl\ds71 at ! fir/ h\r1 ! position ( ! satellites 0 ?us 7,fig4 #dg72 t is1 !re 7 ?ree satellites on ! ea/1 b none 7 visible on ! we/4 ,! satellite on ! ea/ ne>e/ to ,jupit] 0 at a di/ance ( #j #ej f ! planet2 ! next 9 ord] 0 #j #bj f ?is satellite1 & ! fur!/ to ! ea/ 0 #b f ! second satellite1 & x 0 l>g] ?an ! o!rs1 = ^? ne>] to ,jupit] 7 v small4 ,b ab\t ! fif? h\r only "o ( ! satellites :i* _h be5 ne> to ,jupit] 0 to be se52 its di/ance f ,jupit] 0 #j #cj4 ,! di/ance ( ! satellite fur!/ to ! ea/ f ,jupit] _h increas$1 = x 0 !n #d 7,fig4 #dh74 ,b at ! six? h\r1 besides ! two situat$ z j describ$ on ! ea/1 "o satellite 0 visible t[>ds ! we/1 v small1 at a di/ance ( #b f ,jupit] 7,fig4 #di74 ,feb4 #af3 #f h4--,_! places 7 arrang$ z foll[s 7,fig4 #ej72 t is1 ! satellite on ! ea/ 0 #g f ,jupit]1 ,jupit] #e f ! next satellite on ! we/1 & ?is #c f ! rema9+ satellite /ill fur!r to ! we/4 ,!y 7 all ( ! same magnitude ne>ly1 r bright1 & 9 ! same /raight l9e1 correspond+ accurately to ! direction ( ! ,zodiac4 ,feb4 #ag3 #a h4--,two satellites 7 9 view1 "o on ! ea/1 di/ant #c f ,jupit]2 ! o!r on ! we/1 di/ant #aj 7,fig4 #ea74 ,! latt] 0 some:at less ?an ! satellite on ! ea/2 b at ! six? h\r ! ea/]n satellite 0 ne>] to ,jupit]1 be+ at a di/ance ( #j #ej1 & ! we/]n satellite 0 fur!r (f1 namely #ab4 ,at bo? obs]vations !y 7 9 ! same /raight l9e ) ,jupit]1 & 7 bo? r small1 especially ! ea/]n satellite 9 ! second obs]vation4 ,feb4 #ah3 #a h4--,?ree satellites 7 9 view1 ( :i* two 7 on ! we/ & "o on ! ea/2 ! di/ance ( ! ea/]n satellite f ,jupit] 0 #c1 & ( ! ne>e/ satellite on ! we/ #b2 ! rema9+ satellite1 /ill fur!r to ! we/1 0 #h f ! middle satellite 7,fig4 #eb74 ,!y 7 all 9 ! same /raight l9e exactly1 & ( ab\t ! same magnitude4 ,b at ! second h\r ! satellites ne>e/ to ! planet 7 at equal di/ances f ,jupit]1 = ! we/]n satellite 0 n[ also #c f ! planet4 ,b at ! six? h\r ! f\r? satellite 0 visible betwe5 ! satellite on ! ea/ & ,jupit]1 9 ! foll[+ configuration 7,fig4 #ec74 ,! satellite fur!/ to ! ea/ 0 at a di/ance ( #c f ! next 9 ord]2 ?is "o 0 at a di/ance ( #a #ej f ,jupit]2 ,jupit] 0 at a di/ance ( #c f ! next satellite on ! we/1 & ?is #g f ! satellite /ill fur!r to ! we/4 ,^! 7 ne>ly equal 9 magnitude1 only ! satellite on ! ea/ ne>e/ to ,jupit] 0 a little small] ?an ! re/1 & !y 7 all 9 ! same /raight l9e p>allel to ! ecliptic4 ,feb4 #ai3 #j h4 #dj m4--,two satellites only 7 9 view1 we/ ( ,jupit]1 r l>ge1 & arrang$ exactly 9 ! same /raight l9e ) ,jupit]1 9 ! direction ( ! ecliptic 7,fig4 #ed74 ,! ne>] satellite 0 at a di/ance ( #g f ,jupit] & ( #f f ! satellite fur!r to ! we/4 ,feb4 #bj4--,! sky 0 cl\dy4 ,feb4 #ba3 #a h4 #cj m4--,?ree satellites1 r small1 7 9 view1 plac$ ?us 7,fig4 #ee74 ,! satellite to ! ea/ 0 #b f ,jupit]2 ,jupit] 0 #c f ! next1 :i* 0 on ! we/2 & ?is "o 0 #g f ! satellite fur!r to ! we/4 ,!y 7 exactly 9 ! same /raight l9e p>allel to ! ecliptic4 ,feb4 #be3 #a h4 #cj m4 7= on ! ?ree previ\s nights ! sky 0 ov]ca/74--,?ree satellites appe>$1 two on ! ea/1 :i* 7 at a di/ance ( #d ap>t1 ! same z ! di/ance ( ! ne>] satellite f ,jupit]2 on ! we/ !re 0 "o satellite at a di/ance ( #b f ,jupit]4 ,!y 7 exactly 9 ! same /raight l9e 9 ! direction ( ! ecliptic 7,fig4 #ef74 ,feb4 #bf3 #j h4 #cj m4--,a pair ( satellites only 7 pres5t1 "o on ! ea/1 di/ant #aj f ,jupit]2 ! o!r 0 on ! we/1 at a di/ance ( #f 7,fig4 #eg74 ,! ea/]n satellite 0 slightly small] ?an ! we/]n4 ,at ! fif? h\r ?ree satellites 7 visible2 =1 besides ! two already notic$1 a ?ird satellite 0 9 view1 on ! we/1 ne> ,jupit]1 v small1 :i* previ\sly _h be5 hidd5 beh9d ,jupit]1 & x 0 at a di/ance ( #a f ! planet 7,fig4 #eh74 ,b ! satellite on ! ea/ 0 se5 to be fur!r (f ?an be=e1 be+ at a di/ance ( #aa f ,jupit]4 ,on ?is night1 = ! fir/ "t1 ,i det]m9$ to obs]ve ! motion ( ,jupit] & ! adjac5t planets 78 satellites7 along ! zodiac1 by ref]5ce to "s fix$ />2 = !re 0 a fix$ /> 9 view1 ea/w>ds ( ,jupit]1 at a di/ance ( #aa f ! satellite on ! ea/1 & a little to ! s\?1 9 ! foll[+ mann] 7,fig4 #ei74 ,feb4 #bg3 #a h4 #d m4--,! satellites appe>$ 9 ! foll[+ configuration4 ,! satellite fur!/ to ! ea/ 0 at a di/ance ( #aj f ,jupit]2 ! next 9 ord] 0 ne> ,jupit]1 be+ at a di/ance ( #j #cj f ! planet4 ,! next satellite 0 on ! we/]n side1 at a di/ance ( #b #cj f ,jupit]2 & ! satellite fur!r to ! we/ 0 at a di/ance ( #a f ?is4 ,! two satellites ne> to ,jupit] appe>$ small1 especially ! satellite on ! ea/2 b ! satellites fur!/ (f 7 v bright1 p>ticul>ly t on ! we/1 & !y made a /raight l9e 9 ! direction ( ! ecliptic exactly4 ,! motion ( ! planets t[>ds ! ea/ 0 pla9ly se5 by ref]5ce to ! a=esaid fix$ />1 = ,jupit] & 8 att5dant satellites 7 ne>] to x1 z may be se5 9 ! accompany+ figure 7,fig4 #fj74 ,at ! fif? h\r ! satellite on ! ea/1 ne> to ,jupit]1 0 #a f ! planet4 ,feb4 #bh3 #a h4--,only two satellites 7 visible1 "o on ! ea/1 at a di/ance ( #i f ,jupit]1 & ano!r on ! we/1 at a di/ance ( #b2 !y 7 bo? r bright1 & 9 ! same /raight l9e ) ,jupit]1 & a /raight l9e drawn f ! fix$ /> p]p5dicul> to ?is /raight l9e fell ^u ! satellite on ! ea/1 z 9 ! figure 7,fig4 #fa74 ,at ! fif? h\r a ?ird satellite 0 se5 at a di/ance ( #b f ,jupit]1 on ! ea/1 9 ! position %[n 9 ! figure 7,fig4 #fb74 ,m>* #a3 #j h4 #dj m4--,f\r satellites1 all on ! ea/ ( ! planet1 7 se52 ! satellite ne>e/ to ,jupit] 0 #b f ! planet2 ! next #a f ?is2 ! ?ird 0 #j #bj f ! second1 & 0 bright] ?an ! o!rs2 & ! satellite /ill fur!r to ! ea/ 0 at a di/ance ( #d f x1 & 0 small] ?an ! o!rs 7,fig4 #fc74 ,!y made a /raight l9e v ne>ly1 only ! satellite ?ird f ,jupit] 0 slightly above ! l9e4 ,! fix$ /> =m$ ) ,jupit] & ! mo/ ea/]ly satellite an equilat]al triangle1 z 9 ! figure4 ,m>* #b3 #j h4 #dj m4--,?ree satellites 7 9 att5dance1 two on ! ea/ & "o on ! we/1 9 ! configuration %[n 9 ! diagram 7,fig4 #fd74 ,! satellite fur!/ to ! ea/ 0 #g f ,jupit]2 f ?is satellite ! next 0 di/ant #j #cj1 & ! satellite on ! we/ 0 sep>at$ f ,jupit] by an int]val ( #b4 ,! satellites fur!/ (f 7 bright] & l>g] ?an ! rema9+ satellite1 :i* appe>$ v small4 ,! satellite fur!/ to ! ea/ seem$ to be rais$ a little t[>ds ! nor?1 out ( ! /raight l9e drawn ?r\gh ! o!r satellites & ,jupit]4 ,! fix$ /> already notic$ 0 at a di/ance ( #h f ! we/]n satellite1 t is1 f ! p]p5dicul> drawn f t satellite to ! /raight l9e drawn ?r\gh all ! sy/em1 z %[n 9 ! figure giv54 ,^! det]m9ations ( ! motion ( ,jupit] & ! adjac5t planets 78 satellites7 by ref]5ce to a fix$ />1 ,i h ?\ght well to pres5t to ! notice ( a/ronom]s1 9 ord] t any "o may be able to und]/& f !m t ! movem5ts ( ^! planets 7,jupit]'s satellites7 bo? 9 longitude & 9 latitude agree exactly ) ! motions ( ,jupit] :i* are extract$ f tables4 ,^! are my obs]vations ^u ! f\r ,m$icean planets1 rec5tly discov]$ = ! fir/ "t by me2 & al?\gh x is n yet p]mitt$ me to d$uce by calculation f ^! obs]vations ! orbits ( ^! bodies1 yet ,i may be all[$ to make "s /atem5ts1 bas$ ^u !m1 well wor?y ( att5tion4 ,sid5ote3 ,d$uctions f ! previ\s obs]vations conc]n+ ! orbits & p]iods ( ,jupit]'s satellites4 ,&1 9 ! fir/ place1 s9ce !y are sometimes beh9d1 sometimes be=e ,jupit]1 at l di/ances1 & )draw f ?is planet t[>ds ! ea/ & t[>ds ! we/ only )9 v n>r[ limits ( div]g5ce1 & s9ce !y accompany ?is planet alike :5 its motion is retrograde & direct1 x c be a matt] ( d\bt to no "o t !y p]=m _! revolutions ab\t ?is planet1 :ile at ! same "t !y all accompli% toge!r orbits ( twelve ye>s' l5g? ab\t ! c5tre ( ! _w4 ,moreov]1 !y revolve 9 unequal circles1 :i* is evid5tly ! conclusion to be drawn f ! fact t ,i h nev] be5 p]mitt$ to see two satellites 9 conjunction :5 _! di/ance f ,jupit] 0 great1 :]eas ne> ,jupit] two1 ?ree1 & sometimes all 7f\r71 h be5 f\nd closely pack$ toge!r4 ,moreov]1 x may be detect$ t ! revolutions ( ! satellites :i* describe ! smalle/ circles r\nd ,jupit] are ! mo/ rapid1 = ! satellites ne>e/ to ,jupit] are (t5 to be se5 9 ! ea/1 :5 ! day be=e !y h appe>$ 9 ! we/1 & contr>iwise4 ,also ! satellite mov+ 9 ! greate/ orbit seems to me1 aft] c>efully weigh+ ! occasions ( its return+ to positions previ\sly notic$1 to h a p]iodic "t ( half a mon?4#ag ,besides1 we h a notable & spl5did argum5t to remove ! scruples ( ^? :o c tol]ate ! revolution ( ! planets r\nd ! ,sun 9 ! ,cop]nican sy/em1 yet are s di/urb$ by ! motion ( "o ,moon ab\t ! ,e>?1 :ile bo? accompli% an orbit ( a ye>'s l5g? ab\t ! ,sun1 t !y consid] t ?is !ory ( ! con/itution ( ! univ]se mu/ be upset z impossible2 = n[ we h n "o planet only revolv+ ab\t ano!r1 :ile bo? trav]se a va/ orbit ab\t ! ,sun1 b our s5se ( sight pres5ts to u f\r satellites circl+ ab\t ,jupit]1 l ! ,moon ab\t ! ,e>?1 :ile ! :ole sy/em travels ov] a mighty orbit ab\t ! ,sun 9 ! space ( twelve ye>s4 #ag ,9 ! edition ( ,galileo's works publi%$ at ,flor5ce1 #ahed1 !re are giv5 ! tables ( ! h\rly movem5ts ( ! satellites ( ,jupit]1 f :i* ,galileo det]m9$ _! p]iods ( revolution4 ,9 ! beg9n+ ( 8 treatise on float+ bodies1 ,discorso intorno i ,galleggianti1 #afaa-ab1 ,galileo gives ! times ( rotation z approximately1 7i47 #a d4 #ah-a_/b h42 7ii47 #c d4 #ac-a_/c h42 7iii47 #g d4 #d h42 7iv47 #af d4 #ah h42 he also publi%$ configurations ( ! satellites calculat$ = ,m>*1 ,april1 & a "p ( ,may #afac4 ,! p]iodic times ( ! satellites1 z correct$ by lat] obs]v]s1 are1 7i47 #a d4 #ah h4 #bh m42 7ii47 #c d4 #ac h4 #ae m42 7iii47 #g d4 #c h4 #dc m42 7iv47 #af d4 #af h4 #cb m4 ,sid5ote3 ,explanation ( ! v>iations 9 brightness ( ,jupit]'s satellites4 ,la/ly1 ,i mu/ n pass ov] ! consid]ation ( ! reason :y x happ5s t ! ,m$icean />s1 9 p]=m+ v small revolutions ab\t ,jupit]1 seem sometimes m ?an twice z l>ge z at o!r times4 ,we c by no means look = ! explanation 9 ! mi/s ( ! ,e>?'s atmosph]e1 = !y appe> increas$ or dim9i%$1 :ile ! discs ( ,jupit] & neighb\r+ fix$ />s are se5 q unalt]$4 ,t !y approa* & rec$e f ! ,e>? at ! po9ts ( _! revolutions ne>e/ to & fur!/ f ! ,e>? to su* an ext5t z to acc\nt = s great *anges seems altoge!r unt5able1 = a /rict circul> motion c by no means %[ ^? ph5om5a2 & an elliptical motion 7:i* 9 ?is case w\ld be ne>ly rectil9e>7 seems to be bo? unt5able & by no means 9 h>mony ) ! ph5om5a obs]v$4 ,b ,i gladly publi% ! explanation :i* has occurr$ to me ^u ?is subject1 & submit x to ! judgm5t & criticism ( all true philosoph]s4 ,x is c]ta9 t :5 atmosph]ic mi/s int]v5e ! ,sun & ,moon appe> l>g]1 b ! fix$ />s & planets less ?an !y really are2 h5ce ! =m] lum9>ies1 :5 ne> ! horizon1 are l>g] ?an at o!r times1 b />s appe> small]1 & are frequ5tly sc>cely visible2 also !y are /ill m dim9i%$ if ^? mi/s are ba!d 9 light2 s />s appe> v small by day & 9 ! twilight1 b ! ,moon does n appe> s1 z ,i h previ\sly rem>k$4 ,moreov]1 x is c]ta9 t n only ! ,e>?1 b also ! ,moon1 has its own vapor\s sph]e envelop+ x1 = ! reasons :i* ,i h previ\sly m5tion$1 & especially = ^? :i* %all be /at$ m fully 9 my ,sy/em2 & we may consi/5tly decide t ! same is true ) reg>d to ! re/ ( ! planets2 s t x seems to be by no means an unt5able op9ion to place r\nd ,jupit] also an atmosph]e d5s] ?an ! re/ ( ! e!r1#ah ab\t :i*1 l ! ,moon ab\t ! sph]e ( ! elem5ts1 ! ,m$icean planets 7,jupit]'s satellites7 revolve2 & t by ! int]v5tion ( ?is atmosph]e !y appe> small] :5 !y are 9 apogee2 b :5 9 p]igee1 ?r\gh ! abs5ce or att5uation ( t atmosph]e1 !y appe> l>g]4 ,want ( "t prev5ts my go+ fur!r into ^! matt]s2 my read]s may expect fur!r rem>ks ^u ^! subjects 9 a %ort "t4 #ah ,mod]n a/ronom]s agree 9 assign+ an atmosph]e to ,jupit]1 b consid] x n ext5sive en\gh to affect ! brightness ( ! satellites4--7,,webb1 ,cele/ial ,objects = ,common ,telescopes47 ,_! absolute magnitudes are diff]5t1 & _! surfaces h be5 obs]v$ to be obscur$ by spots1 :i* may acc\nt = ! v>iations ( _! brightness4 ,^! spots1 l ! lun> spots1 are probably due to v>iations ( reflective p[] at diff]5t p>ts ( _! surfaces1 = z !y always turn ! same face to ,jupit]1 !y pres5t diff]5t portions ( _! surfaces to u p]iodically1 & x has be5 asc]ta9$ by obs]vation t 8^! fluctuations 9 _! brightness are p]iodical1 dep5d+ on _! position ) respect to ! ,sun40--7,,h]s*el1 ,outl9es ( ,a/ronomy2 ,,arago1 ,a/ronomie ,populaire1 #ahed47 ,orig9al ,configurations ( ,jupit]'s ,satellites obs]v$ by ,galileo 9 ! mon?s ( ,janu>y1 ,febru>y1 & ,m>* #afaj1 & publi%$ ) ! #a/ edition ( 8 book ,sid]eus ,nuncius1 ,v5ice1 #afaj4 ---------------------------------------- ---------------------------------------- -------------------- ,,fig4 ,,date4 ,,ea/4 ,,we/4 ---------------------------------------- ---------------------------------------- -------------------- #a ,jan4 #g ---------------------------------------- ---------------------------------------- ---------------------- #b #h ---------------------------------------- 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---------------------------------------- ---------------------------------------- ---------------------- #fd #b ,/> ---------------------------------------- ---------------------------------------- ---------------------- ,a ,,"p ,,( ,,! ,,preface ,,to ,,kepl]',s ,,dioptrics ,,=m+ ,a ,,cont9uation ,,( ,,galileo',s ,,sid]eal ,,mess5g]4 ,9 ! preface to ,kepl]'s ,dioptrics !re are introduc$ lett]s ( ,galileo ab\t ! new & a/oni%+ discov]ies :i* he _h made 9 ! heav5s by ! aid ( ! telescope s9ce ! publication ( 8 "w1 ,! ,sid]eal ,mess5g]4 ,! portion ( ! preface :i* ref]s to ,galileo1 conta9+ ^! lett]s & ,kepl]'s rem>ks ^u !m1 is add$ "h1 z cont9u+ ! orig9al acc\nt ( ,galileo's a/ronomical discov]ies4 ,extract f ! ,preface ( ,kepl]'s ,dioptrics4 ,augsburg1 #afaa4 ,sid5ote3 ,kepl] rem>ks on ! importance ( ! application ( ! telescope to a/ronomical inve/igations z indicat$ by ,galileo's discov]ies1 publi%$ 9 8 ,sid]eal ,mess5g]4 8,! ,sid]eal ,mess5g]0 ( ,galileo has be5 = a long "t 9 ev]ybody's h&s1 also my 8,discussion1 su* z x is1 ) ?is ,mess5g]10 & my ,brief ,n>rative 9 confirmation ( ,galileo's ,sid]eal ,mess5g]1 s any read] may briefly weigh ! *ief po9ts ( t ,mess5g] & see ! nature & ! value ( ! discov]ies made by ! aid ( ! telescope1 ! !ory ( :i* ,i am int5d+ to demon/rate 9 ?is treatise4 ,actual sight te/ifi$ t !re is a c]ta9 bright heav5ly body :i* we call ! ,moon4 ,x 0 demon/rat$ f ! laws ( optics t ?is body is r\nd2 also ,a/ronomy1 by "s argum5ts f\nd$ ^u optics1 _h built up ! conclusion t its di/ance f ! e>? is ab\t sixty semi-diamet]s ( ! e>?4 ,v>i\s spots %[$ !mselves 9 t body2 & ! result 0 a dubi\s op9ion among a few philosoph]s1 d]iv$ f ,hecatu' acc\nt ( ! /ories ab\t ! isl& ( ! ,hyp]boreans1#ai t ! reflect$ images ( m\nta9s & valleys1 sea & l&1 7 se5 !re2 b n[ ! telescope places all ^! matt]s be=e our eyes 9 su* a way t he mu/ be an intellectual c[>d :o1 :ile enjoy+ su* a view1 /ill ?9ks t ! matt] is op5 to d\bt4 ,no?+ is m c]ta9 ?an t ! s\!rn p>ts ( ! moon teem ) m\nta9s1 v _m 9 numb]1 & va/ 9 size2 & t ! nor!rn p>ts1 inasmu* z !y are l[]1 receive 9 mo/ ext5sive lakes ! wat] fl[+ d[n f ! s\?4 ,! conclusions :i* previ\sly ,p5a publi%$ z disclos$ by ! aid ( optics1 />t$ inde$ f c]ta9 slight supports1 r ?an f\ndations1 af=d$ by actual sight1 b 7 prov$ by long argum5ts dep5d+ "o ^u ano!r1 s t !y might be assign$ to human reason r ?an to sight2 b n[ our v eyes1 z if a new door ( heav5 _h be5 op5$1 are l$ to ! view ( matt]s once hidd5 f !m4 ,b if x %\ld please any "o to exhau/ ! =ce ( reason+ ^u ^! new obs]vations1 :o does n see h[ f> ! contemplation ( nature w ext5d h] b\nd>ies1 :5 we ask1 8,:at is ! use ( ! tracts ( m\nta9s & valleys1 & ! v wide expanse ( seas 9 ! moon80 & 8,may n "s creature less noble ?an man be imag9$ su* z might inhabit ^? tracts80 #ai ,diodorus ,siculus1 ii4 #dg4 ,) no less c]ta9ty also d we decide by ! use ( ?is in/rum5t ev5 t fam\s "q1 :i*1 coeval ) philosophy itself1 is disput$ to ?is day by ! noble/ intellects--,i mean1 :e!r ! e>? c move 7z ! !ory ( ! ,planets greatly requires7 )\t ! ov]?r[ ( all bodies t h weight1 or ! confusion ( ! motion ( ! elem5ts8 ,= if ! e>? 7 bani%$ f ! c5tre ( ! univ]se1 "s fe> le/ ! wat] %\ld leave ! orb ( ! e>? & fl[ to ! c5tre ( ! univ]se2 & yet we see t 9 ! moon1 z well z 9 ! e>?1 !re is a quantity ( moi/ure occupy+ ! sunk5 holl[s ( t globe2 & al?\gh ?is orb revolves actually 9 ! e!r1 & outside ! c5tres n m]ely ( ! univ]se1 b ev5 ( our e>?1 yet ! mass ( wat] 9 ! moon is n at all h9d]$ f cleav+ inv>iably to ! orb ( ! moon1 & t5d+ to ! c5tre ( ! body to :i* x belongs4 ,s1 by ?is in/ance ( ! ph5om5a ( ! moon1 ! sci5ce ( optics am5ds ! receiv$ !ory ( me*anics1 & confirms on ?is po9t my introduction to my ,comm5t>ies ^u ! ,motions ( ! ,planet ,m>s4#bj #bj ,kepl] says 9 8 introduction to 8 ,comm5t>ies ^u ! ,motions ( ! ,planet ,m>s1 t ! !ory ( gravitation dep5ds on c]ta9 axioms1 "o ( :i* is t 8heavy bodies d n t5d to ! c5tre ( ! univ]se1 suppos+ ! e>? to be plac$ !re1 because t po9t is ! c5tre ( ! univ]se1 b because x is ! c5tre ( ! e>?4 ,s1 :]ev] ! e>? be set1 or :i!rsoev] x be transport$1 heavy bodies h a cont9ual t5d5cy to x40 ,kepl]'s object 9 ?is "w 0 to correct ! me?ods = det]m9+ ! app>5t places ( ! planets accord+ to ! ?ree !ories !n curr5t--! ,ptolemaic1 ! ,cop]nican1 & t ( ,ty*o ,brahe4 ,9 #aeic ! obs]v$ place ( ! planet ,m>s diff]$ by ne>ly #e f ! place calculat$ = x4 ,kepl] accord+ly /udi$ ! motions ( ?is planet1 & 8by mo/ labori\s demon/rations & discussions ( _m obs]vations10 arriv$ at ! conclusions kn[n z ,kepl]'s fir/ & second laws2 accord+ to :i* ! ,cop]nican sy/em ( ecc5trics & epicycles 0 replac$ by an ellipse ^: c5tre & ecc5tricity 7 ! same z ! c5tre & ecc5tricity ( ! ecc5tric 9 ! old] me?od1 & ! ,sun !re=e 0 9 "o ( ! foci4 ,also ! motion ( ! planet 9 its orbit 0 su* t equal areas 7 describ$ ab\t ! ,sun by ! radius vector ( ! planet 9 equal times4--,,kepl]1 ,a/ronomia ,nova 7,prague71 #afji4 ,! foll[]s ( ! ,samian philosophy 7= ,i may use ?is epi!t to designate ! philosophy orig9at$ by ! ,samians1 ,py?agoras & ,ari/>*us7 h a /rong argum5t aga9/ ! app>5t immobility ( ! e>? provid$ 9 ! ph5om5a ( ! moon4 ,= we are taught by optics t if any "o ( u 0 9 ! moon1 to him ! moon1 8 abode1 w\ld seem q immovable1 b our e>? & sun & all ! re/ ( ! heav5ly bodies movable2 = ! conclusions ( sight are ?us relat$4 ,p5a has notic$ h[ a/ronom]s1 us+ ! pr9ciples ( optics1 h by mo/ labori\s reason+ remov$ ! ,milky ,way f ! elem5t>y univ]se1 :]e ,ari/otle _h plac$ x1 into ! highe/ region ( ! e!r2 b n[1 by ! aid ( ! telescope lately inv5t$1 ! v eyes ( a/ronom]s are conduct$ /raight to a ?or\gh survey ( ! sub/ance ( ! ,milky ,way2 & :oev] enjoys ?is sight is compell$ to confess t ! ,milky ,way is no?+ else b a mass ( extremely small />s4 ,aga91 up to ?is "t ! nature ( nebul\s />s _h be5 entirely unkn[n2 b if ! telescope be direct$ to "o ( su* nebul\s balls1 z ,ptolemy calls !m1 x aga9 %[s1 z 9 ! case ( ! ,milky ,way1 ?ree or f\r v bright />s clu/]$ v close toge!r4 ,aga91 :o )\t ?is in/rum5t w\ld h believ$ t ! numb] ( ! fix$ />s 0 t5 times1 or p]haps tw5ty times1 m ?an t :i* is giv5 9 ,ptolemy's description ( ! fix$ />s8 ,& :5ce1 pray1 %\ld we seek = conclusive evid5ce ab\t ! end or b\nd>y ( ?is visible univ]se1 prov+ t x is actually ! sph]e ( ! fix$ />s1 & t !re is no?+ beyond1 except f ?is v discov]y by ! telescope ( ?is multitude ( fix$ />s1 :i* is1 z x 71 ! vault+ ( ! mobile univ]se8 ,aga91 h[ greatly an a/ronom] w\ld g wrong 9 det]m9+ ! magnitude ( ! fix$ />s1 except he %\ld survey ! />s all ov] aga9 ) a telescope1 also may be se5 9 ,galileo's treatise1 & we w also h]eaft] produce 9 pro( a lett] f a ,g]man a/ronom]4 ,b no words c express my admiration ( t *apt] ( ! ,sid]eal ,mess5g] :]e ! /ory is told ( ! discov]y1 by ! aid ( a v highly f9i%$ telescope1 ( ano!r _w1 z x 71 9 ! planet ,jupit]4 ,! m9d ( ! philosoph] almo/ reels z he consid]s t !re is a va/ orb1 :i* is equal 9 mass to f\rte5 orbs l ! e>? 7unless on ?is po9t ! telescope ( ,galileo %all %ortly reveal some?+ m exact ?an ! measurem5ts ( ,ty*o ,brahe7 r\nd :i* circle f\r moons1 n unlike ?is moon ( ours2 ! sl[e/ revolv+ 9 ! space ( f\rte5 ( our days1 z ,galileo has publi%$2 ! next to ?is1 by f> ! brighte/ ( ! f\r1 9 ! space ( eight days1 z ,i detect$ 9 la/ ,april & ,may2 ! o!r two 9 /ill %ort] p]iods4 ,& "h ! reason+ ( my ,comm5t>ies ab\t ! ,planet ,m>s1 appli$ to a simil> case1 induces me to conclude also t ! actual orb ( ,jupit] rotates ) v great rapidity1 mo/ c]ta9ly fa/] ?an once 9 ! space ( "o ( our days2 s t ?is rotation ( ! mighty orb ^u its own axis is accompani$ :]ev] x goes by ! p]petual circuits ( ^? f\r moons4 ,moreov]1 ?is sun ( ours1 ! common s\rce ( heat & light = ?is t]re/rial _w z well z = t _w ( ,jupit]1 :i* we consid] to be ( ! angul> magnitude ( #cj at mo/1 !re sc>cely subt5ds m ?an #f or #g1 & is f\nd aga9 9 ! same position among ! fix$ />s1 hav+ complet$ ! zodiac 9 ! int]val1 aft] a p]iod ( twelve ( our ye>s4#ba ,accord+ly1 ! creatures :i* live on t orb ( ,jupit]1 :ile !y contemplate ! v swift c\rses ( ^? f\r moons among ! fix$ />s1 :ile !y behold !m & ! sun ris+ & sett+ day by day1 w\ld swe> by ,jupit]-9-/one1 l ! ,romans 7= ,i h lately return$ f ^? p>ts71 t _! orb ( ,jupit] rema9s immovable 9 "o spot1 & t ! fix$ />s & ! sun1 :i* are ! bodies really at re/1 no less ?an ^? f\r moons ( !irs1 revolve r\nd t abode ( !irs ) manifold v>iety ( motions4 ,& f ?is in/ance n[1 mu* m ?an be=e f ! in/ance ( ! moon1 any foll[] ( ! ,samian philosophy w le>n :at reply may be made to any "o object+ to ! !ory ( ! motion ( ! e>? z absurd1 & alleg+ ! evid5ce ( our sight4 ,o telescope1 in/rum5t ( mu* k1 m preci\s ?an any sceptre6 ,is n he :o holds !e 9 8 h& made k+ & "l ( ! works ( ,god8 ,truly 8,all t is ov]head1 ! mighty orbs ,) all _! motions1 ?\ do/ subjugate ,to man's intellig5ce40 ,if !re is any "o 9 "s degree fri5dly to ,cop]nicus & ! lights ( ! ,samian philosophy1 :o f9ds ?is difficulty only1 t he d\bts h[ x c happ51 suppos+ ! e>? to p]=m aga9 & aga9 h] c\rse among ! planets ?r\gh ! e!real pla9s1 t ! moon %\ld keep s con/antly by h] side1 l an insep>able companion1 & at ! same "t fly r\nd & r\nd ! actual orb ( ! e>?1 j l a fai?ful dog :i* goes r\nd & r\nd 8 ma/] on "s j\rney1 n[ runn+ 9 front1 n[ deviat+ to ?is side or t1 9 ev]-v>y+ mazes1 let him look at ! planet ,jupit]1 :i*1 z ?is telescope %[s1 c]ta9ly c>ries 9 its tra9 n "o su* companion only1 l ! e>?1 z ,cop]nicus %[$1 b actually f\r1 t nev] leave x1 ?\gh all ! "t ha/5+ ea* 9 its own orbit4 #ba ,! degree ( accuracy atta9$ by ,kepl] & ,galileo ) _! imp]fect in/rum5ts w be appreciat$ by comp>+ ^! /atem5ts ) ! det]m9ations ( lat] a/ronom]s4 ,jupit] is ab\t #acjj times ! size ( ! ,e>?4 ,its diamet] is ab\t #hg1jjj miles2 "t ( rotation1 #i h4 #ee m4 #ba sec42 "t ( revolution1 #dccc days ne>ly4 ,! angul> diamet] ( ! sun1 se5 f ,jupit]1 is betwe5 #f & #g4 ,! times ( revolution ( ! f\r satellites are1 z already giv53 7i47 #a d4 #ah h4 #bh m41 7ii47 #c d4 #ac h4 #ae m41 7iii47 #g d4 #c h4 #dc m41 7iv47 #af d4 #af h4 #cb m4 ,b en\gh has be5 said ab\t ^! matt]s 9 my ,discussion ) ! ,sid]eal ,mess5g]4 ,x is "t t ,i %\ld turn to ^? discov]ies :i* h be5 made s9ce ! publication ( ,galileo's ,sid]eal ,mess5g]1 & s9ce my ,discussion ) x1 by means ( ?is telescope4 ,sid5ote3 ,galileo's discov]y ( ,saturn's r+ 7imp]fectly74 ,x is n[ j a ye> s9ce ,galileo wrote to ,prague1 & gave full notice t he _h detect$ some?+ new 9 ! heav5s beyond 8 =m] discov]ies2 & t !re might n be any "o :o1 ) ! int5tion ( detract+ f 8 cr$it1 %\ld try to pass himself (f z an e>li] obs]v] ( ! ph5om5on1 ,galileo gave a c]ta9 space ( "t = ! publication ( ! new ph5om5a :i* any "o _h se52 he himself mean:ile describ$ 8 discov]y 9 lett]s transpos$ 9 ?is mann]3 s m a i s m r m i l m e p o e t a l e u m i b u n e n u g t t a u i r a s4 ,out ( ^! lett]s ,i made an unc\? v]se :i* ,i ins]t$ 9 my ,%ort ,acc\nt 9 ! mon? ( ,septemb] ( la/ ye>3-- ,salve umbi/9eum#bb gem9atum ,m>tia proles4 ,hail1 tw9 companion%ip1 *ildr5 ( ,m>s4 #bb ,umbi/9eum4 ,app>5tly ?is is "s ,g]man ^w ) a ,lat9 end+1 su* z um-bei-/ehn2 ,kepl] fanci$ t ,galileo _h discov]$ two satellites ( ,m>s4 ,b ,i 0 a v long way f ! mean+ ( ! lett]s2 x conta9$ no?+ to d ) ,m>s2 &1 n to deta9 y1 read]1 "h is ! solution ( ! riddle 9 ! words ( ,galileo himself1 ! au?or ( x3#bc-- 8,di ,fir5ze li #ac di ,novembre #afaj4--,ma pass&o ad altro1 giac* il ,sig4 ,kepl]o ha 9 que/a sua ultima n>razione /ampate le lett]e *e io m&ai traspo/e a ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima v55domi anco significato come ,sua ,mae/ ne desid]a il s5so1 ecco *e io lo m&o a ,vo/ra ,signoria ,illu/rissima p] p>ticip>lo con ,sua ,mae/ col ,sig4 ,kepl]o e con *i piac] a ,vo/ra ,signoria ,illu/rissima bram&o io *e lo sappia ognuno4 ,le lett]e dunque comb9ate nel lor v]o s5so dicono cos1 ,altissimum planetam t]gem9um obs]vavi4 ,que/o 1 *e ,saturno con mia gr&issima ammirazione ho oss]vato ess]e non una /ella sola1 ma tre insieme1 le quali quasi si toccano2 e sono tr di loro totalm5te immobili1 e con/ituite 9 que/a guisa oo4 ,quella di mezzo assai pi gr&e delle lat]ali2 sono situate una da ori5te1 l'altra da occid5te1 nella m$esima l9ea retta a capello2 non sono giu/am5te secondo la dirittura del ,zodiaco1 ma l'occid5tale si eleva alquanto v]so ,borea2 =se sono p>allele all',equ9oziale4 ,se si gu>d]anno con un oc*iale *e non sia di gr&issima moltiplicazione1 non app>iranno tre /elle b5 di/9te1 ma p>r1 *e ,saturno sia una /ella lunghetta 9 =ma di un'oliva1 cos1 4 ,ma s]v5dosi di un oc*iale *e moltipli*i pi di mille volte 9 sup]ficie1 si v$ranno tre globi di/9tissimi1 *e quasi si toccano1 non app>5do tr essi maggior divisione di un sottil filo oscuro4 ,or ecco trovata la corte a ,giove1 e due ,s]vi a que/o ,vec*io *e l'aiutano a camm9>e n mai se gli /accano dal fianco4 ,intorno agli altri ,pianeti non ci novit alcuna1 ec40 #bc ,! text ( ! f\r lett]s ( ,galileo foll[$ "h is t giv5 9 ! edition ( ,galileo's works publi%$ at ,flor5ce1 #ahdb-ef2 t 9 ! edition ( ,kepl]'s ,dioptrics1 publi%$ at ,augsburg1 #afaa1 is v inaccurate4 ,^! lett]s 7 writt5 to ,giuliano de' ,m$ici1 ambassador ( ! ,gr&-,duke ( ,tuscany to ! ,emp]or ,rudolf ,,ii4 at ,prague4 ,al?\gh ^! words diff] little f ,lat91 yet ,i w translate !m t no difficulty may h9d] my read] f foll[+ me4 ,?us !n ,galileo writes3--8,b to come n[ to my second topic4 ,s9ce ,kepl] has publi%$ 9 t rec5t #8,n>rative' ( 8 ! lett]s :i* ,i s5t z an anagram to y\r illu/ri\s ,lord%ip1 & s9ce an intimation has be5 giv5 me t 8 ,maje/y desires to be taught ! mean+ ( ^? lett]s1 ,i s5d x to y\r illu/ri\s ,lord%ip1 t y\r ,lord%ip may communicate x to 8 ,maje/y1 to ,kepl]1 & to any "o y\r ,lord%ip may wi%4 8,! lett]s :5 jo9$ toge!r z !y ought to be1 say ?is1 #8,altissimum planetam t]gem9um obs]vavi1' #8,i h obs]v$ ! mo/ di/ant ( ! planets to h a triple =m4' 8,= 9 tru? ,i h f\nd out ) ! mo/ int5se surprise t ! planet ,saturn is n m]ely "o s+le />1 b ?ree />s v close toge!r1 s mu* s t !y are all b 9 contact "o ) ano!r4 ,!y are q immovable ) reg>d to ea* o!r1 & are arrang$ 9 ?is mann]1 oo4 ,! middle /> ( ! ?ree is by f> great] ?an ! two on ei!r side4 ,!y are situat$ "o t[>ds ! ea/1 ! o!r t[>ds ! we/1 9 "o /raight l9e to a hair's-bread?2 n1 h[ev]1 exactly 9 ! direction ( ! ,zodiac1 = ! /> fur!/ to ! we/ rises some:at t[>ds ! nor?2 p]haps !y are p>allel to ! equator4 ,if y look at !m ?r\gh a glass t does n multiply mu*1 ! />s w n appe> cle>ly sep>ate f "o ano!r1 b ,saturn's orb w appe> some:at elongat$1 ( ! %ape ( an olive1 ?us1 4 ,b if y %\ld use a glass :i* multiplies a surface m ?an a ?\s& times1 !re w appe> v di/9ctly ?ree orbs1 almo/ t\*+ "o ano!r2 & !y w be ?\ght to be n f>!r ap>t ?an ! bread? ( a v f9e & sc>cely visible ?read4 ,s y see a gu>d ( satellites has be5 f\nd = ,jupit]1 & = ! decrepit little old man two s]vants to help 8 /eps & nev] leave 8 side4 ,conc]n+ ! re/ ( ! planets ,i h f\nd no?+ new40 ,s says ,galileo2 b if ,i may d s1 ,i w n make an old dot>d out ( ,saturn1 & two s]vants = him out ( 8 companion orbs1 b r out ( ^? ?ree unit$ bodies ,i w make a triple ,g]yon1 out ( ,galileo ,h]cules1 & out ( ! telescope 8 club1 arm$ ) :i*1 ,galileo has conqu]$ t mo/ di/ant ( ! planets1 drawn x out ( ! fur!/ recesses ( nature1 dragg$ x d[n to e>?1 & expos$ x to ! gaze ( u all4 ,x pleases me too1 n[ t ! ne/ has be5 f\nd1 to consid] ) curiosity :at k9d ( brood mu/ be 9 x1 :at k9d ( life1 if !re be any life !re1 betwe5 orbs :i* all b t\* ea* o!r two & two1 :]e n ev5 8a space ,( sky ext5ds n m ?an ?ree ells wide10#bd b :]e !re is sc>cely a *9k ( a nail's-bread? all r\nd4 #bd ,virgil1 ,eclog4 iii4 #aje4 ,d inde$ ! a/rolog]s rightly ascribe to ,saturn ! gu>dian%ip ( m9]s1 :o1 accu/om$ to sp5d _! lives1 l moles1 und]gr\nd1 seldom brea! ! free air "u ! op5 sky8 ,al?\gh ! d>kness "h is r m supportable ?an 9 ,saturn1 because ! sun1 :i* appe>s !re only z l>ge z ,v5us appe>s to u on ! e>?1 cont9ually ca/s its rays ?r\gh ! spaces betwe5 ! diff]5t orbs 9 su* a way t ^? inhabitants :o are situat$ on "o orb are cov]$ by ! o!r z by a ceil+2 :ile ^? on ! latt] orb1 on ! top ( ?is ro( ( !irs1 expos$ z x is to ! full light ( ! sun1 receive a gl>e z if f v firebr&s4 ,b ,i mu/ draw 9 ! re9s & *eck my m9d 9 its enjoym5t ( ! free fields ( e!r2 = fe>1 p]*ance1 lat] obs]vations %\ld report some?+ diff]5t f ! fir/ acc\nt1 some?+ *ang$ 9 c\rse ( "t4#be #be ,! completion ( ,galileo's obs]vations on ,saturn dep5d$ on ! improvem5t ( a/ronomical in/rum5ts1 z w be evid5t f ! foll[+ sket*4 ,galileo made out ! fir/ indications ( ,saturn's r+ 9 #afaj1 z n>rat$ 9 8 lett]1 ) a p[] ( ?irty2 b 9 ,decemb] #afab he wrote to "o ( 8 fri5ds1 ,m>co ,vels]i1 t he c\ld no long] see ^! indications1 & began to imag9e t 8 telescope _h deceiv$ him1 & app>5tly ab&on$ fur!r rese>*es4 ,hevelius 9 #afdb saw ! r+ m cle>ly1 b figur$ x z two cresc5ts atta*$ to ,saturn by _! cusps4 ,at l5g?1 9 #afec1 ,huygh5s provid$ himself ) a p[] ( "o hundr$1 hav+ made ! l5ses ) 8 own h&s1 & imm$iately discov]$ ! explanation ( ! ph5om5a :i* _h baffl$ previ\s obs]v]s4 ,he publi%$ 8 explanation ( ,saturn's r+1 & 8 discov]y ( ! fir/ satellite1 9 8 ,sy/ema ,saturnium1 #afei4 ,cass9i1 ) /ill m p[]ful in/rum5ts1 discov]$ f\r m satellites 9 #afga1 #afgb1 #afhd4 ,sir ,william ,h]s*el 9 #aghi detect$ two m1 8:i* c only be se5 ) telescopes ( extraord9>y p[] & p]fection1 & "u ! mo/ fav\rable atmosph]ic circum/ances40--7,,h]s*el1 ,outl9es ( ,a/ronomy1 #edh47 ,& ! la/ ( ! eight satellites 0 discov]$ 9 #ahdh by ,lassell ( ,liv]pool1 & ,bond ( ,cambridge1 ,u4,s41 simultane\sly4 ,at ! end ( 8 lett] ,galileo seem$ to ?9k t he _h come to ! end ( 8 reports ab\t ! planets1 & obs]vations ( new ph5om5a respect+ !m1 b ev] on ! wat*1 t eye ( 81 t "o n ( ,nature's mak+--,i mean 8 telescope--9 a %ort "t made m discov]ies1 conc]n+ :i* read ! foll[+ lett] ( ,galileo3-- ,sid5ote3 ,acc\nt ( ,galileo's discov]y ( ! phases ( ,v5us4 8,di ,fir5ze li #aa di ,decembre #afaj4--,/o con desid]io1 att5d5do la rispo/a a due mie scritte ultimam5te p] s5tire quello1 *e av] detto il ,sig4 ,kepl]o della /ravaganza di ,saturno4 ,intanto m&o a ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima la cifra di un altro p>ticol>e oss]vato da me nuovam5te1 il quale si tira dietro la decisione di gr&issime controv]sie 9 ,a/ronomia1 ed 9 p>ticol>e conti5e 9 se un gagli>do argom5to p] la con/itutione ,pitagorica e ,cop]nicana dell',univ]so2 e a suo tempo pubbli*] la decif]azione ed altri p>ticol>i4 ,sp]o *e av] trovato il metodo p] def9ire i p]iodi dei quattro ,pianeti ,m$icei1 /imati con gran ragione quasi inesplicabili dal ,sig4 ,kepl]o1 al quale piac]1 ec4 8,le lett]e traspo/e sono que/e3 8,haec immatura a me jam fru/ra leguntur1 o4y40 ,:i* may be translat$ ?us3-- 8,i am anxi\sly look+ = an answ] to my la/ two lett]s1 t ,i may le>n :at ,kepl] says ab\t ! m>vels ( ,saturn's orb4 ,9 ! meantime ,i s5d him a riddle conc]n+ a c]ta9 new & spl5did obs]vation :i* t5ds to decide great controv]sies 9 a/ronomy2 & especially conta9s a f9e argum5t 9 fav\r ( ! ,py?agorean & ,cop]nican sy/em ( ! univ]se4 ,at ! prop] "t ,i w publi% ! solution ( ! riddle1 & "s o!r p>ticul>s4 ,i hope t ,i h f\nd a me?od ( det]m9+ ! p]iodic times ( ! f\r ,m$icean planets1 :i* ,kepl]1 n )\t v good reason1 ?\ght inexplicable1 etc4 8,! lett]s turn$ into an anagram1 are ^!3 8,haec immatura a me jam fru/ra leguntur1 o4y40 ,s f> ,galileo4 ,b if1 read]1 ?is lett] has fill$ y ) a desire to "k ! mean+ conta9$ 9 ^? lett]s1 !n y mu/ read ano!r lett] ( ,galileo :i* foll[s4 ,illu/ration3 ,fig4 #a4 ,e ! ,e>? 7c5tre ( univ]se74 ,s ! ,sun4 ,c c5tre ( ecc5tric4 ,d c5tre ( planet's epicycle4 ,,vv' /ation>y po9ts4 s v v' projections ( ,,svv' on ! ecliptic ( :i* ,e is ! c5tre4 ,illu/ration3 ,fig4 #b4 ,s ! ,sun1 c5tre ( sol> sy/em4 v e positions ( planet & ,e>? at conjunction4 ,,vv' /ation>y po9ts ( planet4 ,,ee' correspond+ positions ( ! ,e>?4 ,b be=e y d s1 ,i %\ld l y to notice1 by ! way1 :at ,galileo says ab\t ! ,py?agorean & ,cop]nican sy/em ( ! univ]se4 ,= he po9ts to my ,my/]y ( ! ,univ]se1#bf publi%$ f\rte5 ye>s ago1 9 :i* ,i took ! dim5sions ( ! ,planet>y orbits accord+ to ! a/ronomy ( ,cop]nicus1 :o makes ! sun immovable 9 ! c5tre1 & ! e>? movable bo? r\nd ! sun & ^u its own axis2 & ,i %[$ t ! diff]5ces ( _! orbits correspond$ to ! five regul> ,py?agorean figures1 :i* _h be5 already di/ribut$ by _! au?or among ! elem5ts ( ! _w1 ?\gh ! attempt 0 admirable r ?an happy or legitimate1 & = :i* figures' sake ,euclid wrote ! :ole ( 8 ,geometry4 ,n[1 9 t ,my/]y y may f9d a sort ( comb9ation ( ,a/ronomy & ,euclid's ,geometry1 & ?r\gh ?is comb9ation a mo/ ?or\gh completion & f9i%+ ( !m bo?2 & ?is 0 ! reason :y ,i wait$ ) int5se long+ to see :at sort ( an argum5t ,galileo w\ld produce 9 fav\r ( ! ,py?agorean sy/em ( ! univ]se4 ,aft] ?is explanation1 ,galileo's lett] ab\t ?is argum5t 0 z foll[s3-- #bf ,kepl]1 9 8 ,my/]y ( ! ,univ]se1 endeav\r$ to connect ! orbits ( ! planets ) ! five regul> solids1 ?us3 ,if 9 a sph]e 7i47 a cube be inscrib$1 & 9 ! cube a sph]e 7ii472 & 9 t sph]e a tetrah$ron1 & 9 ! tetrah$ron a sph]e 7iii472 & 9 t sph]e a dodecah$ron1 & 9 ! dodecah$ron a sph]e 7iv472 & 9 t sph]e an icosah$ron1 & 9 ! icosah$ron a sph]e 7v472 & 9 t sph]e an octah$ron1 & 9 ! octah$ron a sph]e 7vi471 ! diamet]s ( ^! six sph]es w be proportional to ! diamet]s ( ! orbits ( ,saturn1 ,jupit]1 ,m>s1 ! ,e>?1 ,v5us1 & ,m]cury respectively2 or1 z ,kepl] expresses x1 ! common c5tre ( ^! sph]es repres5ts ! position ( ! ,sun1 & ! six sph]es repres5t ! sph]es ( ! planets4 ,by ^! consid]ations1 h[ev]1 ,kepl] 0 l$ to enunciate 8 ?ird law1 t ! squ>es ( ! p]iodic times ( planets are proportional to ! cubes ( _! mean di/ances f ! sun4--,,kepl]1 ,prodromus ,diss]tationum ,ma!matic>um cont95s ,my/]ium ,cosmographicum1 etc4 7,tb+51 #aeif47 8,illu/rissimo e ,rev]5dissimo ,signore mio col5dissimo4 8 tempo *e io decif]i a ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima e p] lei al ,sig4 ,kepl]o le lett]e traspo/e le quali alcune settimane sono le inviai2 tempo dico1 giac* sono int]am5te *i>o della v]it del fatto1 sic* non ci re/a un m9imo scrupolo1 o dubbio4 ,sapranno dunque come circa a tre mesi fa v$5dosi ,v5]e vesp]t9a la com9ciai ad oss]v> dilig5tem5te coll'oc*iale1 p] v$] col s5so /esso quello di *e non dubitava punto l'intelletto4 ,la vidi dunque sul pr9cipio di figura rotonda1 pulita e t]m9ata1 ma molto picciola2 di tal figura si mant5ne s9o *e com9ci ad avvic9>si alla sua massima digressione1 ma tra tanto & cresc5do 9 mole4 ,com9ci poi a manc>e dalla rotondit nella sua p>te ori5tale ed avv]sa al ,sole1 e 9 po*i giorni si ridusse ad ess] un mezzo c]*io p]fettissimo1 e tale si mant5ne1 s5za punto alt]>si1 f9* incom9ci ritir>si v]so il ,sole1 allontan&osi dalla tang5te4 ,ora va cal&o dal mezzo c]*io1 e si mo/ra cornicolata1 e &] assottigli&osi s9o all'occultazione1 riduc5dosi allora con corna sottilissime4 ,qu9di pass&o all' app>izione mattut9a1 la v$remo pur falcata1 e sottilissima e colle corna avv]se al ,sole2 &] poi cresc5do f9o alla massima digressione1 dove app>ir semicircol>e1 e tale s5za alt]>si si mant]r molti giorni1 e poi dal mezzo c]*io pass] pre/o al tutto tondo1 e cos rotonda si cons]v] poi p] molti mesi4 ,il suo diametro adesso circa c9que volte maggiore di quello1 *e si mo/rava nella sua prima app>izione vesp]t9a2 dalla quale mirabile esp]i5za abbiamo s5sata1 e c]ta dimo/razione di due gran que/ioni /ate f9 qui dubbie tr i maggiori +egni del ,mondo4 ,l'una 1 *e i ,pianeti tutti son di lor natura t5ebrosi 7accad5do anco a ,m]curio l'i/esso1 *e a ,v5]e74 ,l'altra1 *e ,v5]e necess>issimam5te si volge intorno al ,sole1 come anco ,m]curio1 cosa1 *e degli altri ,pianeti1 fu cr$uta da' ,pitagorici1 dal ,cop]nico1 dal ,kepl]o e da' loro seguaci1 ma non s5satam5te provata1 come ora 9 ,v5]e1 ed 9 ,m]curio4 8,av]anno dunque il ,sig4 ,kepl]o1 e gli altri ,cop]nicani da glori>si di av] cr$uto e filos(ato b5e1 sebb5e ci toccato1 e ci p] tocc>e ancora ad ess] reputati dall' univ]sit dei ,filos(i 9 libris1 p] poco int5d5ti1 e poco m5o *e /olti4 8,le p>ole dunque1 *e m&ai traspo/e1 e *e dicevano1 ,haec immatura a me jam fru/ra leguntur1 o4y4 dicono ord9ate ,cyn?iae figuras aemulatur mat] amorum4 8,cio1 *e ,v5]e imita le figure della ,luna4 ,oss]vai tre notti sono l'ecclisse1 nella quale non vi cosa notabile1 solo si v$e il taglio dell'ombra indi/9to1 confuso e come annebbiato1 e que/o p] d]iv>e essa ombra dalla ,t]ra lontanissima da essa ,luna4 ,voleva scriv]e altri p>ticol>i1 ma ess5do /ato tratt5uto molto da alcuni g5tiluom9i1 ed ess5do l'ora t>dissima1 son =zato a f9ire4 ,favoriscami salut>e 9 mio nome i ,,ss4 ,kepl]o1 ,asdale e ,segheti1 ed a ,vo/ra ,signoria ,illu/rissima con ogni rev]5za bacio le mani1 e dal ,signore ,dio gli prego felicit4 ,di ,fir5ze il primo di ,g5naio #afaj4 ,ab ,inc>natione4 8,di ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima ,s]vidore obbligatissimo4 ,galileo ,galilei40 ,su* is ,galileo's lett]2 b let me give y ! sub/ance ( x3-- 8,x is "t = me to disclose ! me?od ( read+ ! lett]s :i* "s weeks s9ce ,i s5t y z an anagram4 ,x is "t n[1 ,i mean1 aft] ,i h become q c]ta9 ab\t ! matt]1 s mu* s t ,i h no long] ev5 a %ad[ ( d\bt4 ,y mu/ "k !n t ab\t ?ree mon?s ago1 :5 ! /> ( ,v5us c\ld be se51 ,i began to look at x ?r\gh a telescope ) great att5tion1 s t ,i might grasp ) my physical s5ses an idea :i* ,i 0 ent]ta9+ z c]ta94 ,at fir/ !n y mu/ "k ! planet ,v5us appe>$ ( a p]fectly circul> =m1 accurately s1 & b\nd$ by a di/9ct edge1 b v small2 ?is figure ,v5us kept until x began to approa* its greate/ di/ance f ! sun1 & mean:ile ! app>5t size ( its orb kept on increas+4 ,f t "t x began to lose its r\ndness on ! ea/]n side1 :i* 0 turn$ away f ! sun1 & 9 a few days x contract$ its visible portion into an exact semicircle2 t figure la/$ )\t ! smalle/ alt]ation until x began to return t[>ds ! sun :]e x leaves ! tang5t drawn to its epicycle4#bg ,at ?is "t x loses ! semicircul> =m m & m1 & keeps on dim9i%+ t figure until its conjunction1 :5 x w wane to a v ?9 cresc5t4 ,aft] complet+ its passage pa/ ! sun1 x w appe> to u1 at its appe>ance z a morn+ />1 z only sickle-%ap$1 turn+ a v ?9 cresc5t away f ! sun2 aft]w>ds ! cresc5t w fill up m & m until ! planet rea*es its greate/ di/ance f ! sun1 9 :i* position x w appe> semicircul>1 & t figure w la/ = _m days )\t appreciable v>iation4 ,!n by degrees1 f be+ semicircul> x w *ange to a full orb1 & w keep t p]fectly circul> figure = sev]al mon?s2 b at ?is in/ant ! diamet] ( ! orb ( ,v5us is ab\t five times z l>ge z t :i* x %[$ at its fir/ appe>ance z an ev5+ />4 8,f ! obs]vation ( ^! wond]ful ph5om5a we are suppli$ ) a det]m9ation mo/ conclusive1 & appeal+ to ! evid5ce ( our s5ses1 ( two v important problems1 :i* up to ?is day 7 discuss$ by ! greate/ intellects ) diff]5t conclusions4 ,"o is t ! planets are bodies n self-lum9\s 7if we may ent]ta9 ! same views ab\t ,m]cury z we d ab\t ,v5us74 ,! second is t we are absolutely compell$ to say t ,v5us 7& ,m]cury also7 revolves r\nd ! sun1 z d also all ! re/ ( ! planets4 ,a tru? believ$ inde$ by ! ,py?agorean s*ool1 by ,cop]nicus1 & by ,kepl]1 b nev] prov$ by ! evid5ce ( our s5ses1 z x is n[ prov$ 9 ! case ( ,v5us & ,m]cury4 ,kepl] !re=e & ! re/ ( ! s*ool ( ,cop]nicus h good reason = boa/+ t !y h %[n !mselves good philosoph]s1 & t _! belief 0 n devoid ( f\ndation2 h[ev] mu* x has be5 _! lot1 & may ev5 h]eaft] be _! lot1 to be reg>d$ by ! philosoph]s ( our times1 :o philosophise on pap]1 ) an univ]sal agreem5t1 z m5 ( no intellect1 & little bett] ?an absolute fools4 8,! words :i* ,i s5t ) _! lett]s transpos$1 & :i* said1 ,haec immatura a me jam fru/ra leguntur1 o4y4 :5 r$uc$ to _! prop] ord]1 read ?us1 ,cyn?iae figuras aemulatur mat] amorum3 ,! "m ( ! ,loves rivals ! phases ( ,cyn?ia3 t is1 ,v5us imitates ! phases ( ! ,moon4 8,?ree days ago ,i obs]v$ an eclipse ( ! moon1 b n any?+ wor?y ( special notice occurr$ 9 x4 ,only ! edge ( ! %ad[ appe>$ indi/9ct1 blurr$1 & hazy2 ! cause ( ! ph5om5on no d\bt is t ! %ad[ has its orig9 at ! e>?1 at a great di/ance f ! body ( ! moon4 8,i h "s o!r p>ticul>s1 b ,i am prev5t$ by "t f writ+ ab\t !m1 etc40 ,s writes ,galileo4 #bg ,9 ! ,ptolemaic sy/em ! e>?'s c5tre 0 reg>d$ z ! c5tre ( ! univ]se1 & ! movem5ts ( ! heav5ly bodies 7 expla9$ by ecc5trics & epicycles4 ,! sun 0 conceiv$ to describe a circle ab\t a po9t n exactly co9cid+ ) ! c5tre ( ! e>?1 call$ ! sun's ecc5tric4 ,! planets describ$ epicycles 7circles7 ^: c5tres describ$ ecc5trics 7circles71 & ! c5tres ( ^! ecc5trics co9cid$ ) ! c5tre ( ! sun's ecc5tric4 ,9 ! case ( ,m]cury & ,v5us ! c5tre ( ! epicycle 0 always on ! l9e drawn f ! c5tre ( ! ecc5tric to ! sun's c5tre4 ,9 ! case ( ! o!r planets ! con/ruction 0 m complicat$4 ,! /ation>y po9ts 7 det]m9$ by draw+ tang5ts f ! e>?'s c5tre 7or ! obs]v]7 to ! epicycle1 z 9 ! figure 7#a74--7;,,gass5di1 ,in/itutio ,a/ronomica1 #afdg47 ,?is w expla9 ,kepl]'s description ( ! /ation>y po9ts z ! po9ts :]e ! planet leaves ! tang5t to its epicycle1 suppos+ t he uses ! t]ms ( ! curr5t 7i4e4 ,ptolemaic7 a/ronomy4 ,cop]nicus plac$ ! sun in/ead ( ! e>? at ! c5tre ( ! univ]se1 b to det]m9e ! positions ( ! planets at any giv5 "t ) z mu* accuracy z 0 atta9able ) ! ,ptolemaic sy/em1 he 0 oblig$ to use a simil> me?od ( ecc5trics & epicycles1 s t ,kepl]'s expression may be und]/ood to describe ! /ation>y po9ts accord+ to ! ,cop]nican !ory1 ?\gh x is /ill /range t he %\ld n recognise ! elliptical =m ( ! planet>y orbits1 :i* he _h lately demon/rat$ aft] mo/ labori\s reason+ 9 8 ,comm5t>ies on ! ,motion ( ! ,planet ,m>s1 #afji4 ,galileo's own expression seems to describe ! /ation>y po9ts accord+ to ! ,cop]nican sy/em1 z w\ld be expect$1 z ! po9ts :]e ! planet leaves ! tang5t drawn to its orbit f ! e>? 7,fig4 #b74 ,:at n[1 de> read]1 %all we make out ( our telescope8 ,%all we make a ,m]cury's magic-w& to cross ! liquid e!r )1 &1 l ,lucian1#bh lead a colony to ! un9habit$ ev5+ />1 allur$ by ! sweetness ( ! place8 or %all we make x a ,cupid's arr[1 :i*1 ent]+ by our eyes1 has pi]c$ our inmo/ m9d1 & fir$ u ) a love ( ,v5us8 ,= :at language is too /rong = ! m>vell\s beauty ( ?is orb1 if1 hav+ no light ( its own1 x c atta9 simply by ! borr[$ light ( ! sun to su* spl5d\r1 z ,jupit] has n1 nor ! moon1 ?\gh enjoy+ a proximity to ! sun z close z ,v5us2 = if ! moon's light be comp>$ ) ! light ( ,v5us1 x w be se5 to be c]ta9ly great] on acc\nt ( ! app>5t magnitude ( ! moon1 b1 9 comp>ison ) ! light ( ,v5us1 dull1 dead1 & lead54 ,o truly gold5 ,v5us6 ,w any "o d\bt any m t ! :ole orb ( ,v5us is wr\ght mo/ smoo?ly out ( pure unalloy$ gold1 s9ce its surface1 :5 only plac$ 9 ! sunlight1 reflects a spl5d\r s int5se6 ,& "h let me add my exp]im5ts ab\t ! alt]ation ( ! light ( ,v5us on bl9k+ ! eye1 :i* ,i h exam9$ 9 ! "p ( my ,a/ronomy :i* treats ( ,optics4 ,reason+ w be able to conclude no?+ else b ?is1 t ! orb ( ,v5us turns on its own axis ) an exce$+ly swift rotation1 display+ "o aft] ano!r diff]5t p>ts ( its surface :i* are m or less capable ( reta9+ ! sun's light4#bi #bh ,lucian1 ,v]4 ,hi/4 i4 #ab4 #bi ,! fir/ sci5tific det]m9ation ( ! p]iod ( ! rotation ( ,v5us 0 made by ,dom9ique ,cass9i 9 #afff1 f obs]vations ( spots on ! planet1 & conclud$ to be ab\t #bd h\rs2 b 9 #agbf ,bian*9i d$uc$ a p]iod ( #bd d4 #h h4 f simil> obs]vations4 ,! true p]iod is consid]$ to be #bc h4 #ba m41 det]m9$ by ,s*roet] by a s]ies ( obs]vations la/+ f #aghh to #agic on ! p]iodicity ( ! de=mation ( ! horns ( ,v5us4--7,,arago1 ,a/ronomie ,populaire1 #ahed47 ,kepl]'s /atem5ts c only be reg>d$ z anticipations ( ph5om5a n yet actually obs]v$4 ,b en\gh ( my own conclusions4 ,let u n[ he> z an epilogue ,galileo's conclusions built up out ( all ! obs]vations :i* he has made ) 8 telescope1 & ann\nc$ f "t to "t4 ,?us he writes once m3-- ,sid5ote3 ,galileo's conclusions ) reg>d to ! inh]5t nature ( ! brightness ( ! />s4 8,illu/rissimo e ,rev]5dissimo ,signore mio col5dissimo4 8,ho ricevuto gu/o1 e cont5to p>ticol>issimo nella lettura dell' ultima di ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima delli #g /ante1 ed 9 p>ticol>e 9 quella p>te dove ella m'acc5na la favorevole incl9azione dell' ,illu/riss4 ,sig4 ,cons4 ,wackh]1 v]so di me1 la quale io inf9itam5te /imo1 ed apprezzo2 e poi* quella ha pr9cipalm5te orig9e dall' av] io incontrate oss]vazioni necess>iam5te dimo/ranti conclusioni p] avanti t5ute v]e da sua ,signoria ,illu/rissima p] conf]m>mi maggiorm5te il possesso di grazia tanto pregiata da me1 prego ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima a f>gli int5d]e p] mia p>te come con=me alla cr$5za di ,sua ,signoria ,illu/rissima ho dimo/razione c]ta1 *e siccome tutti i ,pianeti ricevono il lume dal ,sole1 ess5do p] se /essi t5ebrosi1 e opa*i2 cos le ,/elle fisse rispl5dono p] lor natura1 non bisognose dell' illu/razione de' raggi sol>i1 li quali1 ,dio sa1 se arriv9o a tanta altezza1 pi di quello1 *e arrivi a noi il lume di una di esse fisse4 ,il pr9cipal fondam5to del mio discorso nell' oss]v>e io molto evid5tem5te con gli oc*iali *e quei ,pianeti di mano 9 mano1 *e si trovano pi vic9i a noi1 o al ,sole1 ricevono maggiore spl5dore1 e pi illu/rem5te ce lo riv]b]ano2 e p]ci ,m>te p]igeo1 e a noi vic9issimo si v$e assai pi spl5dido1 *e ,giove2 b5* a quello di mole assai inf]iore2 e difficilm5te se gli pu coll' oc*iale lev>e quella irradiazione1 *e imp$isce il v$]e il suo disco t]m9ato1 e rotondo2 il *e 9 ,giove non accade1 v$5dosi esquisitam5te circol>e4 ,saturno poi p] la sua gran lontananza si v$e esattam5te t]m9ato1 s la ,/ella maggiore di mezzo1 come le due piccole lat]ali2 ed app>e il suo lume languido1 ed abbac9ato e s5za niuna irradiazione1 *e imp$isca il di/+u]e i suoi tre piccoli globi t]m9atissimi4 ,ora poi* ap]tam5te veggiamo1 *e il ,sole molto spl5didam5te illu/ra ,m>te vic9o1 e *e molto pi languido il lume di ,giove 7sebb5e s5za lo /rum5to app>e assai *i>o1 il *e accade p] la gr&ezza1 e c&ore della ,/ella7 languidissimo1 e fosco quello di ,saturno1 come molto pi lontano1 quali dov]iano app>irci le ,/elle fisse lontane indicibilm5te pi di ,saturno1 qu&o il lume loro d]ivasse dal ,sole8 ,c]tam5te debolissime1 torbide e smorte4 ,ma tutto l'opposito si v$e1 p]oc* se rimir]emo p] esempio il ,cane1 incontr]emo un fulgore vivissimo1 *e quasi ci toglie la vi/a1 con una vibrazione di raggi tanto fi]a1 e poss5te1 *e 9 comp>azione di quello rimangono i ,pianeti1 e dico ,giove e ,v5]e /essa1 come un impurissimo vetro appresso un limpidissimo e f9issimo diamante4 ,e b5* il disco di esso ,cane app>isca non maggiore della c9quantesima p>te di quello di ,giove1 tuttavia la sua irradiazione gr&e1 e fi]a 9 modo1 *e l'i/esso globo tra i proprii cr9i s'implica1 e quasi si p]de1 e con qual*e difficolt si di/+ue2 dove *e ,giove 7e molto pi ,saturno7 si v$ono e t]m9ati1 e di una luce languida1 e p] cos dire quieta4 ,e p] tanto io /imo1 *e b5e filos(]emo1 ref]5do la causa della sc9tillazione delle ,/elle fisse1 al vibr>e1 *e elle fanno dello spl5dore proprio e nativo dall'intima loro su/anza2 dove *e nella sup]ficie de' ,pianeti t]m9a pi pre/o1 e si f9isce l'illum9azione1 *e dal ,sole d]iva1 e si p>te4 ,se io s5tir qual*e p>ticol>e que/ione ricevuta dal m$esimo ,sig4 ,wackh]1 non re/] d'affatic>mivi intorno1 p] dimo/r>mi1 quale io sono desid]osissimo di s]vire un tanto ,signore1 e non gi con isp]anza di aggiung]e al t]m9e conseguito dal suo discorso1 p]* b5issimo compr5do1 *e a quanto sia passato p] lo f9issimo cribro del giudizio di esso1 e del ,sig4 ,kepl]o1 non si pu aggiung]e di squisitezza2 n io pret5d]ei altro1 *e col dubit>e1 e mal filos(>e1 eccit> loro al ritrovam5to di nuove sottigliezze4 ,gl'+egni s+ol>i1 *e 9 gran num]o fioriscono nell',alemagna1 mi hanno lungo tempo t5uto 9 desid]io di v$]la1 il qual desid]io ora si raddoppia p] la nuova grazia dell',illu/rissimo ,sig4 ,wackh]1 la quale mi f>ebbe div5ir gr&e ogni picciola occasione1 *e mi si pres5tasse4 ,ma ho di sov]*io occupata ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima4 ,degnisi p] f9e di (f]irmi e d$ic>mi devotissimo s]vidore all',illu/rissimo ,sig4 ,wackh]1 salut&o anco c>am5te il ,sig4 ,kepl]o1 ed a lei con ogni riv]5za bacio le mani1 e dal ,signore ,dio le prego somma felicit4 8,di ,fir5ze li #bf di ,m>zo #afaa4 ,di ,vo/ra ,signoria ,illu/rissima e ,rev]5dissima obbligatissimo ,s]vidore1 ,,galileo ,,galilei40 ,:5 translat$1 ! mean+ is z foll[s3-- 8,y\r la/ lett] has exce$+ly pleas$ me1 especially t "p :i* assures me ( ! fri5dly feel+ ent]ta9$ t[>ds me by ! mo/ illu/ri\s ,imp]ial ,c\nsellor1 ,wagh]1 :i* ,i = my "p highly appreciate4 ,& s9ce ! cause ( ?is fri5dl9ess is1 t ,i h inconte/ably demon/rat$ by "s obs]vations ( m9e c]ta9 conclusions :i* he _h long held z true1 ,i wi% to confirm my possession ( fav\r1 :i* ,i value s mu*1 & accord+ly ,i ask y to give him ?is piece ( news f me2 t ,i h mo/ conclusive argum5ts ready1 %[+ cle>ly t1 j z he holds1 all ! planets receive _! light f ! sun1 be+ by con/itution bodies d>k & devoid ( light2#cj b t ! fix$ />s %9e by _! own prop] light1 n ne$+ to be illum9at$ by ! sun's rays1 s9ce ,god kn[s :e!r !y rea* ! v remote region ( ! fix$ />s ) int5sity ev5 equal to ! small int5sity ) :i* ! rays ( ! fix$ />s come d[n to u4 8,my demon/ration dep5ds *iefly on ?is fact1 t ) ! telescope ,i h di/9ctly obs]v$ t ! planets receive great] brightness1 & reflect x m int5sely1 9 proportion z ea* "o is ne>] to u & to ! sun4 ,s ,m>s 9 p]igee1 t is1 :5 ne>e/ to ! e>?1 greatly surpasses ,jupit] 9 brightness1 al?\gh 9 actual size x is f> inf]ior to ,jupit]2 & 9 consequ5ce x is difficult to receive ! effulg5ce ( ?is planet 9 ! telescope1 = x is s great z to prev5t ! eye f be+ able to di/+ui% ! circul> t]m9ation ( ! planet's disc4 ,?is does n happ5 9 ! case ( ,jupit]1 = x appe>s q circul>4 ,! next planet1 ,saturn1 on acc\nt ( its great di/ance likewise--= inde$ x is ! mo/ remote ( ! planets1--appe>s b\nd$ by a well-def9$ edge1 bo? ! great] orb 9 ! middle & ! two small orbs at its sides4 ,inde$1 x appe>s to %9e ) a fa9t & delicate light1 )\t any effulg5ce to prev5t an obs]v] recognis+ ! well-def9$ t]m9ation ( its ?ree orbs4 ,s9ce1 !n1 we see t ,m>s1 ! ne>e/ ( ! ?ree1 is illum9$ by ! sun ) v great spl5d\r1 & t ! light ( ,jupit]1 at a great] di/ance1 is mu* m fa9t 7al?\gh )\t ! use ( an in/rum5t x appe>s tol]ably bright1 :i* is due to ! size & brilliancy ( its body71 & t ! light ( ,saturn1 at ! greate/ di/ance1 is mo/ fa9t1 & almo/ wat]y1 ( :at k9d1 d y ?9k1 w\ld appe> ! light ( ! fix$ />s1 :i* are at an immeasurable di/ance fur!r f ! sun ?an ,saturn1 if !y only receiv$ light f ! sun8 ,mo/ c]ta9ly1 extremely feeble1 indi/9ct1 & pallid4 ,& yet we f9d q ! contr>y2 =1 let u look ) our eyes at ! ,dog-,/>1 = example4 ,we %all enc\nt] a mo/ vivid brilliancy1 :i* almo/ pricks ! eye ) ! rapid sp>kl+ ( its rays1 ( su* int5sity t1 9 comp>ison ) x1 ! planets1 ev5 ,jupit]1 & ,v5us too1 are z ?or\ghly out%one z common & bad glass comp>$ ) a highly poli%$ & mo/ sp>kl+ diamond4 ,& al?\gh ! orb ( ! ,dog-,/> appe>s no l>g] ?an ! fiftie? "p ( ,jupit]'s disc1 nev]!less its brilliancy is great & v /rong2 s t ! =m ( its disc1 :i* y expect to see1 hides itself among ! rays ( its own refulg5ce1 envelops itself 9 !m1 & almo/ disappe>s2 & x is n di/+ui%$ )\t "s difficulty f ! rays :i* surr\nd x4 ,:]eas ,jupit]1 & /ill m ,saturn1 are se5 well def9$2 & _! light is )\t int5sity1 &1 if ,i may say s1 quiesc5t4 ,:]e=e ,i ?9k t we %all rightly apply our philosophy if we ref] ! cause ( ! tw9kl+ ( ! fix$ />s to vibrations ( a brilliancy1 :i* is _! own1 belong+ to _! con/itution1 & inh]5t 9 _! sub/ance1 & say1 on ! o!r h&1 t ! illum9ation ( ! planets1 :i* is d]iv$ f ! sun1 & di/ribut$ to ! _w1 is limit$ to _! surface40 ,^! are ! sci5tific conclusions 9 ,galileo's lett]2 ! re/ ,i omit4 #cj ,proctor 7,o!r ,worlds ?an ,ours1 #ahge7 has giv5 "s reasons = believ+ t ,jupit] & ,saturn %9e 9 "p ) _! own light1 ow+ to _! great int]nal heat4 ,y see !n1 /udi\s read]1 h[ ! subtle m9d ( ,galileo1 9 my op9ion ! fir/ philosoph] ( ! day1 uses ?is telescope ( ours l a sort ( ladd]1 scales ! fur!/ & l(tie/ walls ( ! visible _w1 surveys all ?+s ) 8 own eyes1 &1 f ! position he has ga9$1 d>ts ! glances ( 8 mo/ acute intellect ^u ^! petty abodes ( ours--! planet>y sph]es ,i mean1--& comp>es ) ke5e/ reason+ ! di/ant ) ! ne>1 ! l(ty ) ! deep4 ,,vale ,,et ,,deum ,,9 ,,op]ibus ,,suis ,,celebr>e ,,nunquam ,,des9e4 ,,kepl]1 ,n>ratio4 ,ed9burgh ,univ]sity ,press3 ,,?omas ,,& ,,ar*ibald ,,con/able1 ,,pr9t]s ,,to ,,h] ,,maje/y4