,,univ]sity ,,( ,,cali=nia ,,publications ,,9 ,,ma!matics ,vol4 #a1 ,no4 #i1 pp4 #ahg-bji ,febru>y #ag1 #aibj ,,on ,,! ,,hi/ory ,,( ,,gunt]',s ,,scale ,,& ,,! ,,slide ,,rule ,,dur+ ,,! ,,sev5te5? ,,c5tury ,,by ,,florian ,,cajori ,,univ]sity ,,( ,,cali=nia ,,press ,,b]keley ,,table ,,( ,,cont5ts ,,page ,i4 ,introduction #ahg ,,ii4 ,innovations 9 ,gunt]'s ,scale #ahh ,*anges introduc$ by ,edmund ,w+ate #ahh ,*anges introduc$ by ,milb\rn #ahi ,*anges introduc$ by ,?omas ,br[n & ,john ,br[n #aij ,*anges introduc$ by ,william ,leyb\rn #aib ,,iii4 ,ri*>d ,delama9's 8,grammelogia0 #aib ,diff]5t editions or impressions #aid ,description ( ,delama9's in/rum5t ( #afcj #aie ,delama9's lat] designs1 & directions = us+ 8 in/rum5ts #aig ,,iv4 ,controv]sy betwe5 ,oughtr$ & ,delama9 on ! inv5tion ( ! circul> slide rule #aii ,v4 ,indep5d5ce & priority ( inv5tion #bjc ,,vi4 ,oughtr$'s 8,gaug+ ,l9e10 #afcc #bjf ,,vii4 ,o!r sev5te5? c5tury slide rules #bjg ,i4 ,,introduction ,9 my hi/ory ( ! slide rule#a1 & my article on its inv5tion#b x is %ewn t ,william ,oughtr$ & n ,edmund ,w+ate is ! inv5tor1 t ,oughtr$'s circul> rule 0 describ$ 9 pr9t 9 #afcb1 8 rectil9e> rule 9 #afcc4 ,ri*>d ,delama9 is ref]r$ to z hav+ tri$ to appropriate ! inv5tion to himself#c & z hav+ writt5 a scurril\s pamphlet aga9/ ,oughtr$4 ,all our in=mation ab\t ,delama9 0 tak5 f ,de ,morgan1#d :o1 h[ev]1 gives no evid5ce ( hav+ read any ( ,delama9's writ+s on ! slide rule4 ,?r\gh ,dr4 ,ar?ur ,hut*9son ( ,pembroke ,college1 ,cambridge1 ,i le>n$ t ,delama9's writ+s on ! slide rule 7 available4 ,9 ?is article w be giv53 ,fir/1 "s details ( ! *anges introduc$ dur+ ! sev5te5? c5tury 9 ! design ( ,gunt]'s scale by ,edmund ,w+ate1 ,milb\rn1 ,?omas ,br[n1 ,john ,br[n & ,william ,leyb\rn2 second1 an acc\nt ( ,delama9's book ( #afcj on ! slide rule :i* ant$ates ,oughtr$'s fir/ publication 7?\gh ,oughtr$'s date ( inv5tion is e>li] ?an ! date ( ,delama9's alleg$ inv5tion7 & ( ,delama9's lat] designs ( slide rules2 ?ird1 an acc\nt ( ! controv]sy betwe5 ,delama9 & ,oughtr$2 f\r?1 an acc\nt ( a lat] book on ! slide rule writt5 by ,william ,oughtr$1 & ( o!r sev5te5? c5tury books on ! slide rule4 ,,ii4 ,,innovations ,,9 ,,gunt]',s ,,scale ,*anges introduc$ by ,w+ate ,we beg9 ) ,an?ony ,wood's acc\nt ( ,w+ate's introduction ( ,gunt]'s scale into ,france4#e ,9 #afbd he transport$ into ,france ! rule ( proportion1 hav+ a little be=e be5 inv5t$ by ,edm4 ,gunt] ( ,gre%am ,coll4 & communicat$ x to mo/ ( ! *iefe/ ma!maticians !n resid+ 9 ,p>is3 :o appreh5d+ ! great b5efit t might accrue !reby1 importun'd him to express ! use !re( 9 ! ,fr5* tongue4 ,:i* be+ p]=m$ accord+ly1 he 0 advis$ by monsieur ,alleawne ! ,k+'s *ief eng9e] to d$icate 8 book to monsieur ! ,k+'s only bro!r1 s9ce duke ( ,orleans4 ,nev]!less ! said "w com+ =? z an abortive 7! publi%+ !re( be+ some:at ha/5$1 by reason an advocate ( ,dijon 9 ,burgundy began to pr9t "s uses !re(1 :i* ,w+ate _h 9 a fri5dly way communicat$ to him7 especially 9 reg>d ,gunt] himself _h le>n$ly expla9$ its use 9 a f> l>g] volume4#f ,gunt]'s scale1 :i* ,w+ate calls ! 8rule ( proportion10 conta9$1 z describ$ 9 ! ,fr5* edition ( #afbd1 f\r l9es3 7#a7 ,a s+le l9e ( numb]s2 7#b7 a l9e ( tang5ts2 7#c7 a l9e ( s9es2 7#d7 a l9e1 "o foot 9 l5g?1 divid$ into #ab in*es & t5?s ( in*es1 also a l9e1 "o foot 9 l5g?1 divid$ into t5?s & hundr$?s4 ,! ,engli% editions ( ?is book :i* appe>$ 9 #afbc & #afbh are devoid ( int]e/4 ,! editions ( #afde & #afeh conta9 an important innovation4#g ,9 ! preface ! reasons :y ?is in/rum5t has n be5 us$ m are /at$ to be3 7#a7 ! difficulty ( draw+ ! l9es ) exactness1 7#b7 ! tr\ble ( work+ !reupon by reason 7sometimes7 ( too l>ge an ext5t ( ! compasses1 7#c7 ! fact t ! in/rum5t is n readily portable4 ,! draw+ ( ,w+ate's arrangem5t ( ! scale 9 ! editions ( #afde & #afeh is ab\t #ff cm4 7#bf4e 947 long4 ,x conta9s five p>allel l9es1 ab\t #ff cm4 long1 ea* hav+ ! divisions ( "o l9e m>k$ on "o side & ( ano!r l9e on ! o!r side4 ,?us ea* l9e c>ries two graduations3 7#a7 ,a s+le log>i?mic l9e ( numb]s2 7#b7 a log>i?mic l9e ( numb]s ?rice repeat$2 7#c7 ! fir/ scale repeat$1 b beg9n+ ) ! graduations :i* are ne> ! middle ( ! fir/ scale1 s t its graduation reads #d1 #e1 #f1 #g1 #h1 #i1 #a1 #b1 #c2 7#d7 a log>i?mic l9e ( numb]s twice repeat$2 7#e7 a log>i?mic l9e ( tang5ts2 7#f7 a log>i?mic l9e ( s9es2 7#g7 ! rule divid$ into #ajjj equal p>ts2 7#h7 ! scale ( latitudes2 7#i7 a l9e ( in*es & t5?s ( in*es2 7#aj7 a scale consi/+ ( ?ree k9ds1 viz41 a gauge l9e1 a l9e ( *ords1 & a foot measure1 divid$ into #ajjj equal p>ts4 ,important are ! fir/ & second scales1 by :i* cube root extraction 0 possible 8by inspection only1 )\t ! aid ( p5 or compass20 simil>ly ! ?ird & f\r? scales1 = squ>e roots4 ,?is innovation is due to ,w+ate4 ,! #afde edition ann\nces t ! in/rum5t 0 made 9 brass by ,elias ,all51 & 9 wood by ,john ,?ompson & ,an?ony ,?ompson 9 ,hosi] ,lane4 ,*anges introduc$ by ,milb\rn ,william ,leyb\rn1 9 8 ,! ,l9e ( ,proportion or ,numb]s1 ,commonly call$ ,gunt]'s ,l9e1 ,made ,easie1 ,london1 #afgc1 says 9 8 preface 8,to ! ,read]30 ,! ,l9e ( ,proportion or ,numb]s1 commonly call$ 7by ,artific]s7 ,gunt]'s ,l9e1 ha? be5 disc\rs$ ( by sev]al p]sons1 & v>i\sly appli$ to div]s uses2 = :5 ,mr4 ,gunt] _h br\ght x f ! ,tables to a ,l9e1 & writt5 "s ,uses !re(1 ,mr4 ,w+ate add$ div]s ,l9es ( sev]al l5g?s1 !reby to extract ! ,squ>e or ,cube ,roots1 )\t d\bl+ or trebl+ ! di/ance ( ! ,compasses3 ,aft] him ,mr4 ,milb\rn1 a ,york%ire ,g5tleman1 dispos$ x 9 a ,s]p5t9e or ,spiral ,l9e1 !reby enl>g+ ! divisions ( ! ,l9e4 ,on pages #abg & #abh ,leyb\rn adds3 ,aga91 ,"o ,t4 ,br[ne1 a ,mak] ( ,ma!matical ,in/rum5ts1 made x 9 a ,s]p5t9e or ,spiral ,l9e1 compos$ ( div]s ,conc5trick ,circles1 !reby to enl>g ! divisions1 :i* 0 ! contrivance ( "o ,mr4 ,milburn a ,york%ire ,g5tleman1 :o writ !re(1 & communicat$ 8 ,uses to ! a=esaid ,br[n1 :o 7s9ce 8 dea?7 attribut$ x to himself3 ,b :oev] 0 ! contriv] ( x1 x is n )\t inconv5i5ce2 = x c 9 no wise be made portable2 & besides 7in/ead ( compasses7 an op5+ ,joynt ) ?irds ?reads mu/ be plac$ to move ^u ! ,c5tre ( ! ,in/rum5t1 )\t :i* no proportion c be wr\ght4 ,?is ,mr4 ,milburn is probably ! p]son nam$ 9 ! di>y ( ! antiqu>ian1 ,elias ,a%mole1 on ,augu/ #ac #afdf82 8,i b\ght ( ,mr4 ,milb\rn all 8 ,books & ,ma!matical ,in/rum5ts40#h ,*>les ,hutton#i says t ,milburne ( ,york%ire design$ ! spiral =m ab\t #afej4 ,?is date is d\btless wrong1 = ,?omas ,br[ne :o1 accord+ to ,leyb\rn1 got ! spiral =m ( l9e f ,milb\rn1 is repeat$ly m5tion$ by ,william ,oughtr$ 9 8 ,epi/le#aj pr9t$ "s "t 9 #afcb or #afcc4 ,oughtr$ does n m5tion ,milb\rn1 & says 7page #d7 t ! spiral =m 80 fir/ hit ^u by "o ,?omas ,br[ne a ,joyn]1 4 4 4 ! s]p5t9e revolution be+ b two true semicircles describ$ on sev]all c5t]s40#aa ,*anges introduc$ by ,?omas ,br[n & ,john ,br[n ,?omas ,br[n did n publi% any description ( 8 in/rum5t1 b 8 son1 ,john ,br[n1 publi%$ 9 #affa a small book1#ab 9 :i* he says 7preface7 t he _h done 8z ,mr4 ,oughtr$ ) ,gunt]'s ,rule1 to a slid+ & circul> =m2 & z my fa!r ,?omas ,br[n into a ,s]p5t9e =m2 or z ,mr4 ,w9dgate 9 8 ,rule ( ,proportion40 ,he says also t 8?is brief t\* ( ! ,s]p5t9e-l9e ,i made bold to ass]t1 to see if ,i c\ld draw out a p]=mance ( t promise1 t ha? be5 s long unp]=m$ by ! promis]s !re(40 ,accord+ly 9 ,*apt] ,,xx he gives a description ( ! s]p5t9e l9e1 8contriv$ 9 five 7or r #ae7 turn40 ,:e!r ?is description1 pr9t$ 9 #affa1 exactly fits ! in/rum5t z x 0 develop$ 9 #afcb1 we h no means ( kn[+4 ,john ,br[n says3 #a4 ,fir/ next ! c5t] is two circles divid$ "o into #fj1 ! o!r into #ajj p>ts1 = ! r$uc+ ( m9utes to #ajj p>ts1 & ! contr>y4 #b4 ,y h 9 sev5 turnes two inpricks1 & five 9 divisions1 ! fir/ ,radius ( ! s9es 7or ,tang5ts be+ ne] ! matt]1 alike to ! fir/ ?ree degrees17 end+ at #e degrees & #dd m9utes4 #c4 ,?irdly1 y h 9 #e turns ! l9es ( numb]s1 s9es1 ,tang5ts1 9 ?ree m>g5ts 9 divisions1 & ! l9e ( v]s$ s9es 9 pricks1 "u ! l9e ( ,tang5ts1 accord+ to ,mr4 ,gunt]'s cross-/aff3 ! s9es & ,tang5ts beg9n+ at #e degrees1 & #dd m9utes :]e ! o!r end$1 & proce$+ to #ij 9 ! s9es1 & #de 9 ! ,tang5ts4 ,& ! l9e ( numb]s beg9n+ at #aj1 & proce$+ to #ajj1 be+ "o entire ,radius1 & graduat$ into z _m divisions z ! l>g5ess ( ! in/rum5t w admit1 be+ #aj to #aj #ej into #ej p>ts1 & f #ej to #ajj into #bj p>ts 9 "o unit ( increase1 b ! ,tang5ts are divid$ into s+le m9utes f ! beg9n+ to ! end1 bo? 9 ! fir/1 second & ?ird ,radiusses1 & ! s9es into m9utes2 also f #cj m9utes to #dj degrees1 & f #dj to #fj1 into e two m9utes1 & f #fj to #hj 9 e #e? m9ute1 & f #hj to #he e #aj?1 & ! re/ z _m z c be well discov]$4 ,! v]s$ s9es are set aft] ! mann] ( ,mr4 ,gunt]'s ,cross-/aff1 & divid$ into e #aj? m9utes beg9n+ at #j1 & proce$+ to #aef go+ backw>ds "u ! l9e ( ,tang5ts4 #d4 ,f\r?ly1 beyond ! ,tang5t ( #de 9 "o s+le l9e1 = "o ,turn is ! secants to #ea degrees1 be+ no?+ else b ! s9es reitt]at$ beyond #ij4 #e4 ,fif?ly1 y h ! l9e ( ,tang5ts beyond #de1 9 #e turnes to #he degrees1 :]eby all tr\ble ( backw>d work+ is avoid$4 #f4 ,six?ly1 y h 9 "o circle ! #ahj degrees ( a ,semicircle1 & also a l9e ( natural s9es1 = f9d+ ( diff]5ces 9 s9es1 = f9d+ h\r & ,azimu?4 #g4 ,sev5?ly1 next ! v]ge or out]mo/ edge is a l9e ( equal p>ts to get ! ,log>i?m ( any numb]1 or ! ,log>i?m s9e & ,tang5t ( any ark or angle to f\r figures besides ! c>ract]i/ick4 #h4 ,eightly & la/ly1 9 ! space place betwe5 ! end+ ( ! middle five turnes1 & "o half ( ! circle are ?ree prickt l9es fitt$ = r$uction4 ,! upp]mo/ be+ = %ill+s1 p5ce & f>?+s4 ,! next = p\nds1 & ounces1 & qu>t]s ( small ,av]dupoies weight4 ,! la/ = p\nds1 %ill+s & p5ce1 & to be us$ ?us3 ,if y w\ld r$uce #afs4 #c;d4 #bq4 to a decimal fraction1 lay ! hair or edge ( "o ( ! legs ( ! index on #af4 #c 9 ! l9e ( #a4 s4 d4 & ! hair %all cut on ! equal p>ts #ha #af2 & ! contr>y1 if y h a decimal fraction1 & w\ld r$uce x to a prop] fraction1 ! l may y d = %ill+s1 & p5ce1 & p\nds1 & ounces4 ,! uses ( ! l9es foll[4 ,z to ! use ( ^! l9es1 ,i %all 9 ?is place say b little1 & t = two reasons4 ,fir/1 because ?is in/rum5t is s contriv$1 t ! use is soon] le>n$ !n any o!r1 ,i speak z to ! mann]1 & way ( us+ x1 because by means ( fir/ second & ?ird radiusses1 9 s9es & ,tang5ts1 ! "w is always "r on1 "o way or o!r1 accord+ to ! ,canon :atsoev] x be1 9 any book t treats ( ! ,log>i?ms1 z ,gunt]1 ,wells1 ,oughtr$1 ,norwood1 or o!rs1 z 9 ,oughtr$ f page #fd to #ajg4 ,secondly1 & m especially1 because ! m accurate1 & l>ge h&l+ !re( is m !n promis$1 if n already p]=m$ by m abl] p5s1 & a l>ge manuscript !re( by my ,sires meanes1 provid$ _m ye>s ago1 ?\gh to ?is day n extant 9 pr9t2 s = 8 sake ,i claim+ my int]e/ !re91 make bold to pres5t y ) ^! few l9es1 9 ord] to ! use ( !m3 ,& fir/ note1 #a4 ,:i* soev] ( ! two legs is set to ! fir/ t]m 9 ! "q1 t ,i call ! fir/ leg always1 & ! o!r be+ set to ! second t]m1 ,i call ! second leg 4 4 4 ,! exact nature ( ! contrivance ) ! 8two legs0 is n describ$1 b x 0 probably a flat pair ( compasses1 atta*$ to ! metallic surface on :i* ! s]p5t9e l9e 0 drawn4 ,9 t case ! in/rum5t 0 a slide rule1 r ?an a =m ( ,gunt]'s l9e4 ,9 8 publication ( #affa1 z also 9 lat] publications1#ac ,john ,br[n devot$ m space to ,gunt]'s scales1 requir+ ! use ( a sep>ate pair ( compasses1 ?an to slide rules4 ,*anges introduc$ by ,william ,leyb\rn ,! same rem>k applies to ,william ,leyb\rn :o1 aft] speak+ ( ,se? ,p>tridge's slide rule1 returns to =ms ( ,gunt]'s scale1 say+3#ad ,!re is yet ano!r way ( dispos+ ( ?is ,l9e ( ,proportion1 by hav+ "o ,l9e ( ! full l5g? ( ! ,rul]1 & ano!r ,l9e ( ! same ,radius brok5 9 two p>ts betwe5 #c & #d2 s t 9 work+ y\r ,compasses nev] g (f ( ! ,l9e3 ,?is is "o ( ! be/ contrivances1 b "h ,compasses mu/ be us$4 ,^! are all ! ,contrivances t ,i h hi!rto se5 ( ^! ,l9es3 ,t :i* ,i "h speak (1 & w %ew h[ to use1 is only two ,l9es ( "o & ! same ,radius1 be+ set ^u a pla9 ,rul] ( any l5g? 7! l>g] ! bett]7 hav+ ! beg9n+ ( "o ,l9e1 at ! end ( ! o!r1 ! divisions ( ea* ,l9e be+ set s close toge!r1 t if y f9d any numb] ^u "o ( ! ,l9es1 y may easily see :at numb] /&s aga9/ x on ! o!r ,l9e4 ,?is is all ! ,v>iation4 4 4 4 ,example #a4 ,if a ,bo>d be #a ,foot #fd p>ts broad1 h[ mu* 9 l5g? ( t ,bo>d w make a ,foot ,squ>e8 ,look ^u "o ( y\r ,l9es 7x matt]s n :i*7 = #a ,foot #fd p>ts1 & "r aga9/ x on ! o!r ,l9e y %all f9d #fa2 & s _m p>ts ( a ,foot w make a ,foot squ>e ( t ,bo>d4 ,?is contrivance solves ! equation #a4fdx#a1 yield+ c5tesimal p>ts ( a foot4 ,james ,atk9son#ae speaks ( 8,gunt]'s scale0 z 8usually ( ,boxwood 4 4 4 commonly #b ft4 long1 #a in* broad0 & 8( two k9ds3 long ,gunt] or s+le ,gunt]1 & ! slid+ ,gunt]4 ,x appe>s t dur+ ! sev5te5? c5tury 7& long aft]7 ! ,gunt]'s scale 0 a rival ( ! slide rule4 ,,iii4 ,,ri*>d ,,delama9',s ,,grammelogia ,we beg9 ) a brief /atem5t ( ! relations betwe5 ,oughtr$ & ,delama94 ,at "o "t ,delama91 a tea*] ( ma!matics 9 ,london1 0 assi/$ by ,oughtr$ 9 8 ma!matical /udies4 ,9 #afcj ,delama9 publi%$ ! ,grammelogia1 a pamphlet describ+ a circul> slide rule & its use4 ,9 #afca he publi%$ ano!r tract1 on ! ,horizontall ,quadrant4#af ,9 #afcb appe>$ ,oughtr$'s ,circles ( ,proportion#ag translat$ into ,engli% f ,oughtr$'s ,lat9 manuscript by ano!r pupil1 ,william ,=/]1 9 ! preface ( :i* ,=/] makes ! *>ge 7)\t nam+ ,delama97 t 8ano!r 4 4 4 w5t ab\t to pre-ocupate0 ! new inv5tion4 ,?is l$ to v]bal disputes & to ! publication by ,delama9 ( sev]al additions to ! ,grammelogia1 describ+ fur!r designs ( circul> slide rules & also /at+ 8 side ( ! bitt] controv]sy1 b )\t giv+ ! "n ( 8 antagoni/4 ,oughtr$'s ,epi/le 0 publi%$ z a reply4 ,ea* combatant accuses ! o!r ( /eal+ ! inv5tion ( ! circul> slide rule & ! horizontal quadrant4 ,! two title-pages ( ! edition ( ! ,grammelogia 9 ! ,briti% ,museum 9 ,london :i* we h call$ 8,grammelogia ,,iv40 ,diff]5t editions or impressions ,!re are at lea/ five diff]5t editions1 or impressions1 ( ! ,grammelogia :i* we designate1 = conv5i5ce1 z foll[s3 ,grammelogia ,i1 #afcj4 ,"o copy 9 ! ,cambridge ,univ]sity ,libr>y4#ah ,grammelogia ,,ii1 ,i h n se5 a copy ( ?is4 ,grammelogia ,,iii1 ,"o copy 9 ! ,cambridge ,univ]sity ,libr>y4#ai ,grammelogia ,,iv1 ,"o copy 9 ! ,briti% ,museum1 ano!r 9 ! ,bodleian ,libr>y1 ,ox=d4#bj ,grammelogia ,v1 ,"o copy 9 ! ,briti% ,museum4 ,9 ,grammelogia ,i ! fir/ ?ree leaves & ! la/ leaf are )\t pag9ation4 ,! fir/ leaf conta9s ! title-page2 ! second leaf1 ! d$ication to ! ,k+ & ! preface 8,to ! ,read]20 ! ?ird leaf1 ! description ( ! ,ma!matical ,r+4 ,!n foll[ #bb numb]$ pages4 ,c\nt+ ! unnumb]$ pages1 !re are altoge!r #cj pages 9 ! pamphlet4 ,only ! fir/ ?ree leaves ( ?is pamphlet are omitt$ 9 ,grammelogia ,,iv & ,v4 ,9 ,grammelogia ,,iii ! ,app5dix beg9s ) a page numb]$ #eb & be>s ! head+ 8,conclusion20 x ends ) page #fh1 :i* conta9s ! same two poems on ! ma!matical r+ t are giv5 on ! la/ page ( ,grammelogia ,i b diff]s slightly 9 ! spell+ ( "s ( ! words4 ,! #ea pages :i* mu/ orig9ally h prec$$ page #eb1 we h n se54 ,! edition conta9+ ^! we h designat$ ,grammelogia ,,ii4 ,! reason = ! omission ( ^! #ea pages c only be conjectur$4 ,9 ,oughtr$'s ,epi/le 7p4 #bd71 x is /at$ t ,delama9 _h giv5 a copy ( ! ,grammelogia to ,?omas ,br[n1 & t two days lat] ,delama9 ask$ = ! return ( ! copy1 8because he _h f\nd "s ?+s to be alt]$ !re90 & 8r5t out all ! middle "p40 ,delama9 labor$ 8to recall all ! bookes he _h giv5 =?1 7:i* 7 _m7 be=e ! sight ( ,br[nes ,l9es40 ,^! spiral l9es ,oughtr$ claim$ t ,delama9 _h /ol5 f ,br[n4 ,! title-page & page #eb are ! only p>ts ( ! ,app5dix1 z giv5 9 ,grammelogia ,,iii1 t are miss+ 9 ! ,grammelogia ,,iv & ,v4 ,grammelogia ,,iv answ]s fully to ! description ( ,delama9's pamphlet conta9$ 9 ,oughtr$'s ,epi/le4 ,x 0 br\ght out 9 #afcb or #afcc1 = :at appe>s to be ! late/ "p ( x conta9s a ref]5ce 7page #ii7 to ! ,grammelogia ,i 7#afcj7 z 8be+ n[ m !n two ye>es pa/40 ,moreov]1 x ref]s to ,oughtr$'s ,circles ( ,proportion1 #afcb1 & ,oughtr$'s reply 9 ! ,epi/le 0 b\nd 9 ! ,circles ( ,proportion hav+ ! ,addition ( #afcc4 ,= conv5i5ce ( ref]5ce we numb] ! two title-pages ( ,grammelogia ,,iv1 8page 7#a70 & 8page 7#b710 z is done by ,oughtr$ 9 8 ,epi/le4 ,grammelogia ,,iv conta9s1 !n1 #aac pages4 ,! page numb]s :i* we assign w be plac$ 9 p>5!ses1 to di/+ui% !m f ! page numb]s :i* are pr9t$ 9 ,grammelogia ,,iv4 ,! pages 7#dd7-7fe7 are ! same z ! pages #a-bb1 & ! pages 7#fh7-7hc7 are ! same z ! pages #ec-fh4 ,?us only ?irty-eight pages h page numb]s pr9t$ on !m4 ,! pages 7#fg7 & 7#hc7 are id5tical 9 word+1 except = "s pr9t]'s errors2 !y conta9 v]ses 9 praise ( ! ,r+1 & h ne> ! bottom ! ^w 8,f9is40 ,also1 pages 7#bb7 & 7#bc7 are toge!r id5tical 9 word+ ) page 7#aac71 :i* is set up 9 f9] type1 conta9+ an adv]tisem5t ( a "p ( ,grammelogia ,,iv expla9+ ! mode ( graduat+ ! circul> rules4 ,!re are altoge!r six p>ts ( ,grammelogia ,,iv :i* beg9 or end by an address to ! read]1 ?us3 8,to ! ,read]10 8,c\rte\s ,read]10 or 8,to ! c\rte\s & b5evol5t ,read] 4 4 410 namely ! pages 7#h71 7#bb71 7#fh71 7#hi71 7#ij71 7#ajh74 ,9 8 ,epi/le 7page #b71 ,oughtr$ *>act]izes ! make up ( ! book 9 ! foll[+ t]ms3 ,9 read+ x 4 4 4 ,i met ) su* a pat*]y & confusion ( disjoynt$ /uffe1 t ,i 0 /rik5 ) a new wond]1 t any man %\ld be s simple1 z to %ame himselfe to ! _w ) su* a hot*-pot*4 ,grammelogia ,v diff]s f ,grammelogia ,,iv 9 hav+ only ! second title-page4 ,! fir/ title-page may h be5 torn (f f ! copy ,i h se54 ,a second diff]5ce is t ! page ) ! pr9t$ num]al #bb 9 ,grammelogia ,,iv has aft] ! ^w 8,f9is0 ! foll[+ notice3 ,?is in/rum5t is made 9 ,silv]1 or ,brasse = ! ,pocket1 or at any o!r bignesse1 ov] aga9/ ,sa9t ,clem5ts ,*ur* )\t ,temple ,b>re1 by ,elias ,all54 ,?is notice occurs also on page #bb ( ,grammelogia ,i & ,,iii1 b is omitt$ f page #bb ( ,grammelogia ,v4 ,description ( ,delama9's in/rum5t ( #afcj ,9 8 address to ,k+ ,*>les ,i1 9 8 ,grammelogia ,i1 ,delama9 emphasizes ! ease ( op]at+ ) 8 slide rule by /at+ t x is 8fit = use 4 4 4 z well on ,horse backe z on ,foot40 ,speak+ 8,to ! ,read]10 he /ates t he has 8= _m ye>es taught ! ,ma!maticks 9 ?is ,t[ne10 & made ef=ts to improve ,gunt]'s scale 8by "s ,motion1 s t ! :ole body ( ,log>i?mes might move proportionally ! "o to ! o!r1 z occasion requir$4 ,?is conceit 9 ,febru>y la/ #afbi ,i /ruke ^u1 & s compos$ my ,grammelogia or ,ma!maticall ,r+2 by :i* only ) an ocul> inspection1 !re is _h at "o in/ant all proportionalls ?r\gh ! said body ( ,numb]s40 ,he dates 8 preface 8fir/ ( ,janu>y1 #afcj40 ,! fif? & six? pages conta9 8 8,description ( ! ,grammelogia10 ! t]m ,grammelogia be+ appli$ to ! in/rum5t1 z well z to ! book4 ,8 description is z foll[s3 ,! p>ts ( ! ,in/rum5t are two ,circles1 ! "o moveable1 & ! o!r fix$2 ,! moveable is t unto :i* is fa/5$ a small p9 to move x by2 ! o!r ,circle may be conceiv$ to be fix$2 ,! circumf]5ce ( ! moveable ,circle is divid$ into unequall p>ts1 *>act]$ ) figures ?us1 #a4 #b4 #c4 #d4 #e4 #f4 #g4 #h4 #i4 ^! figures doe repres5t !mselves1 or su* numb]s unto :i* a ,ciph] or ,ciph]s are add$1 & are v>i$ z ! occasion falls out 9 ! spee* ( ,numb]s1 s #a4 /&s = #a4 or #aj4 or #ajj41 c4 ! #b4 /&s = #b4 or #bj4 or #bjj4 or #bjjj41 c4 ! #c4 /&s = #cj4 or #cjj4 or #cjjj41 c4 ,aft] elaborat+ ?is la/ po9t & expla9+ ! decimal subdivisions on ! scales ( ! movable circle1 he says t 8! numb]s & divisions on ! fix$ ,circle1 are ! v same t ! moveable are1 4 40 ,!re is no draw+ ( ! slide rule 9 ?is publication4 ,! tw5ty-two numb]$ pages give explanations ( ! v>i\s uses to :i* ! in/rum5t c be put3 8,h[ to p]=me ! ,gold5 ,rule0 7pp4 #a-c71 8,fur!r uses ( ! ,gold5 ,rule0 7pp4 #d-f71 8,notions or ,pr9ciples t\*+ ! dispos+ or ord]+ ( ! ,numb]s 9 ! ,gold5 ,rule 9 _! true places ^u ! ,grammelogia0 7pp4 #g-aa71 8,h[ to divide "o numb] by ano!r0 7pp4 #ab1 #ac71 8to multiply "o ,numb] by ano!r0 7pp4 #ad1 #ae71 8,to f9d ,numb]s 9 cont9uall proportion0 7pp4 #af1 #ag71 8,h[ to extract ! ,squ>e ,root10 8,h[ to extract ! ,cubicke ,root0 7pp4 #ah-ba71 8,h[ to p]=me ! ,gold5 ,rule0 7! rule ( proportion7 is expla9$ ?us3 ,seeke ! fir/ numb] 9 ! moveable1 & br+ x to ! second numb] 9 ! fix$1 s "r aga9/ ! ?ird numb] 9 ! moveable1 is ! answ] 9 ! fix$4 ,if ! ,int]e/ ( #ajj4 li4 be #h4 li4 9 ! ye>e1 :at is ! ,int]e/ ( #fe4 li4 = ! same "t4 ,br+ #ajj4 9 ! moveable to #h4 9 ! fix$1 s "r aga9/ #fe4 9 ! moveable is #e4b4 9 ! fix$1 & s mu* is ! ,int]e/ ( #fe4 li4 = ! ye>e at #h4 li4 = #ajj4 li4 p] annum4 ,! ,in/rum5t n remov$1 y may at "o in/ant "r aga9/ any summe ( money 9 ! moveable1 see ! ,int]e/ !re( 9 ! fix$3 ! reason ( ?is is f ! ,def9ition ( ,log>i?mes4 ,^! are ! e>lie/ kn[n pr9t$ in/ructions on ! use ( a slide rule4 ,x w be notic$ t ! description ( ! in/rum5t at ! op5+ makes no ref]5ces to log>i?mic l9es = ! trigonometric functions2 only ! l9e ( numb]s is giv54 ,yet ! title-page promis$ ! 8resolution ( ,pla9e & ,sph]icall ,triangles40 ,page #bb ?r[s light ^u ?is matt]3 ,if !re be compos$ ?ree ,circles ( equal ?icknesse1 ,a4,b4,c4 s t ! inn] edge ( ,d %\ld be ,b & ! outw>d edge ( ,a bee answ]ably graduat$ ) ,log>i?mall signes s9es1 & ! outw>d edge ( ,b & ! inn] edge ( ,a ) ,log>i?mes2 & !n on ! backside be graduat$ ! ,log>i?mall ,tang5ts1 & aga9e ! ,log>i?mall signes oppositly to ! =m] graduations1 x %all be fitt$ = ! resolution ( ,pla9e & ,sph]icall ,triangles4 ,aft] twelve l9es ( fur!r rem>ks on ?is po9t he adds3 ,h5ce f ! =me1 ,i h call$ x a ,r+1 & ,grammelogia by annoligie ( a ,l9e>y spee*2 :i* ,r+1 if x 7 project$ 9 ! convex unto two y>ds ,diamet]1 or !reab\ts1 & ! l9e ,decupl$1 x w\ld worke ,trigonometrie unto seconds1 & give proportionall numb]s unto six places only by an ocul> inspection1 :i* w\ld comp5diate ,a/ronomicall calculations1 & be suffici5t = ! ,pro/hapha]esis ( ! ,motions3 ,b ( ?is z ,god %all give life & ability to heal? & "t4 ,! unnumb]$ page foll[+ page #bb conta9s ! pat5t & copyright on ! in/rum5t & book3 ,:]eas ,ri*>d ,delama91 ,tea*] ( ,ma!maticks1 ha? pres5t$ vnto ,vs an ,in/rum5t call$ ,grammelogia1 or ,! ,ma!maticall ,r+1 toge!r ) a ,booke s intitul$1 express+ ! use !re(1 be+ 8 owne ,inv5tion2 we ( our ,graci\s & ,pr9cely fav\r h grant$ unto ! said ,ri*>d ,delama9 & 8 ,assignes1 ,privilege1 ,lic5ce1 & ,au?ority1 = ! sole ,mak+1 ,pr9t+ & ,sell+ ( ! said ,in/rum5t & ,booke3 /raightly =bidd+ any o!r to ,make1 ,impr9t1 or ,sell1 or cause to be ,made1 or ,impr9t$1 or ,sold1 ! said ,in/rum5t or ,booke )9 any our ,dom9ions1 dur+ ! space ( t5 ye>es next ensu+ ! date h]e(1 ^u pa9e ( ,our high displeasure4 ,giv5 "u our h& & ,signet at our ,palace ( ,we/m9/]1 ! f\r? day ( ,janu>y1 9 ! six? ye>e ( our ,raigne4 ,delama9's lat] designs1 & directions = us+ 8 in/rum5ts ,9 ! ,app5dix ( ,grammelogia ,,iii1 on page #eb is giv5 a description ( an in/rum5t promis$ ne> ! end ( ,grammelogia ,i3 ,t :i* ,i h =m]ly deliv]$ ha? be5 onely ^u "o ( ! ,circles ( my ,r+1 simply conc]n+ ,ari?meticall ,proportions1 ,i w by way ( ,conclusion t\* ^u "s uses ( ! ,circles1 ( ,log>i?mall ,s9es1 & ,tang5ts1 :i* are plac$ on ! edge ( bo? ! moveable & fix$ ,circles ( ! ,r+ 9 respect ( ,geometricall ,proportions1 b fir/ ( ! description ( ^! ,circles4 ,fir/1 ^u ! side t ! ,circle ( ,numb]s is "o1 are graduat$ on ! edge ( ! moveable1 & also on ! edge ( ! fix$ ! ,log>i?mall ,s9es1 = if y br+ #a4 9 ! moveable among/ ! ,numb]s to #a4 9 ! fix$1 y may on ! o!r edge ( ! moveable & fix$ see ! s9es not$ ?us #ij4 #ij4 #hj4 #hj4 #gj4 #gj4 #fj4 #fj4 c4 unto #f4f4 & ea* degree subdivid$1 & !n ov] ! =m] divisions & figures #ij4 #ij4 #hj4 #hj4 #gj4 #gj4 c4 y h ! o!r degrees1 viz4 #e4 #d4 #c4 #b4 #a4 ea* ( ^? divid$ by small po9ts4 ,secondly1 7if ! ,r+ is great7 ne]e ! outw>d edge ( ?is side ( ! fix$ aga9/ ! ,numb]s1 are ! usuall divisions ( a ,circle1 & ! po9ts ( ! ,compasse3 s]v+ = obs]vation 9 ,a/ronomy1 or ,geometry1 & ! sights belong+ to ^? divisions1 may be plac$ on ! moveable ,circle4 ,?irdly1 opposite to ^? ,s9es on ! o!r side are ! ,log>i?mall ,tang5ts1 not$ alike bo? 9 ! moveable & fix$ ?us #f4f4g4g4h4h4i4i4aj4aj4ae4ae4bj4bj4 c4 unto #de4de4 :i* numb]s or divisions s]ve also = _! ,complem5ts to #ij4 s #dj gr4 /&s = #ej4 gr4 #cj4 gr4 = #fj gr4 #bj4 gr4 = #gj4 gr4 c4 ea* degree "h bo? 9 ! moveable & fix$ is also divid$ into p>ts4 ,z = ! degrees :i* are "u #f4 viz4 #e4d4c4b4a4 !y are not$ ) small figures ov] ?is divid$ ,circle f #de4dj4ce4cj4be4 c4 & ea* ( ^? degrees divid$ into p>ts by small po9ts bo? 9 ! moveable & fix$4 ,f\r?ly1 on ! o!r edge ( ! moveable on ! same side is ano!r graduation ( ,tang5ts1 l t =m]ly describ$4 ,& opposite unto x1 9 ! fix$ is a ,graduation ( ,log>i?mall s9es 9 e ?+ answ]able to ! fir/ descrition ( ,s9es on ! o!r side4 ,fif?ly1 on ! edge ( ! ,r+ is graduat$ a p>te ( ! quator1 numb]$ ?us #aj #bj4 #cj4 unto #ajj4 & !re unto is adjoyn$ ! degrees ( ! ,m]idian inl>g$1 & numb]$ ?us #aj #bj4cj unto #gj4 ea* degree bo? ( ! quator1 & ,m]idian are subdivid$ into p>ts2 ^! two graduat$ ,circles s]ve to resolve su* ,que/ions :i* conc]ne ,latitude1 ,longitude1 ,rumb1 & ,di/ance1 9 ,nauticall op]ations4 ,six?ly1 to ! concave ( ! ,r+ may be add$ a ,circle to be elevat$ or depress$ = any ,latitude1 repres5t+ ! quator1 & s divid$ into h\res & p>ts ) an ,axis1 to %ew bo? ! h\re1 & ,azimu?1 & )9 ?is ,circle may be hang$ a ,box1 & ,ne$le ) a ,socket = a /affe to slide into x1 & ?is accommodat$ ) scrue p9es to fa/5 x to ! ,r+ & /affe1 or to take x (f at pleasure4 ,! pages be>+ ! pr9t$ numb]s #ec-fh 9 ! ,grammelogia ,,iii1 ,,iv & ,v make no ref]5ce to ! dispute ) ,oughtr$ & may1 !re=e1 be assum$ to h be5 publi%$ be=e ! appe>ance ( ,oughtr$'s ,circles ( ,proportion4 ,on page #ec1 8,to ! ,read]10 he says3 4 4 4 y may make use ( ! ,projection ( ! ,circles ( ! ,r+ ^u a ,pla9e1 hav+ ! feet ( a paire ( compasses 7b s t !y be flat7 to move on ! ,c5t] ( t ,pla9e1 & ^? feet to op5 & %ut z a paire ( ,compasses 4 4 4 n[ if ! feet bee op5$ to any two t]mes or numb]s 9 t ,projection1 !n may y move ! fir/ foot to ! ?ird numb]1 & ! o!r foot %all give ! ,answ]2 4 4 4 x ha? pleas$ "s to make use ( ?is way4 ,b 9 ?is !re is a d\ble lab\r 9 respect to t ( ! ,r+1 ! "o 9 fitt+ ^? feet unto ! numb]s assign$1 & ! o!r by mov+ !m ab\t1 9 :i* a man c h>dly accommodate ! ,in/rum5t ) "o h&1 & expresse ! ,proportionals 9 writ+ ) ! o!r4 ,by ! ,r+ y ne$ n b br+ "o numb] to ano!r1 & "r aga9/ any o!r numb] is ! ,answ] )\t any su* motion4 4 4 4 ^u t ! ,r+ ,i write1 %ew+ "s uses ( ^? ,circles among/ !mselves1 & conjoyn$ ) o!rs 4 4 4 9 ,a/ronomy1 ,horolographie1 9 pla9e ,triangles apply$ to ,dim5sions1 ,navigation1 ,=tification1 etc4 4 4 4 ,b be=e ,i come to ,con/ruction1 ,i h ?\ght x conv5i5t by way introduction1 to exam9e ! tru? ( ! graduation ( ^? ,circles 4 4 4 ,^! are ! words ( a practical man1 int]e/$ 9 ! me*anical developm5t ( 8 in/rum5t4 ,he consid]s n only que/ions ( conv5i5ce b also ( accuracy4 ,! in/rum5t has1 or may h n[1 also l9es ( s9es & tang5ts4 ,to te/ ! accuracy ( ! circles ( ,numb]s1 8br+ any numb] 9 ! moveable to halfe ( t numb] 9 ! fix$3 s any numb] or "p 9 ! fix$ %all give 8 d\ble 9 ! moveable1 & s may y trie ( ! ?irds1 f\r?s c4 ( numb]s1 vel contra10 7p4 #ed74 ,on page #ee are giv5 two small draw+s1 labell$1 8,a ,type ( ! ,r+e & ,s*eme ( ?is ,log>i?micall projection1 ! use foll[e?4 ,^! ,in/rum5ts are made 9 ,silv] or ,brasse by ,john ,all5 ne>e ! ,sauoy 9 ! ,/r&40 ,,iv4 ,,controv]sy ,,betwe5 ,,oughtr$ ,,& ,,delama9 ,,on ,,! ,,inv5tion ,,( ,,! ,,circul> ,,slide ,,rule ,delama9's publication ( #afcj on ! #8,ma!maticall ,r+' does n appe> at t "t to h caus$ a rupture betwe5 him & ,oughtr$4 ,:5 9 #afca ,delama9 br\ght out 8 ,horizontall ,quadrant1 ! inv5tion ( :i* ,delama9 0 aft]w>ds *>g$ to h /ol5 f ,oughtr$1 ,delama9 0 /ill 9 close t\* ) ,oughtr$ & 0 s5d+ ,oughtr$ 9 ! ,arundell ,h\se1 ,london1 ! %eets z !y 7 pr9t$4 ,oughtr$'s ref]5ce to ?is 9 8 ,epi/le 7p4 #bj7 writt5 aft] ! fri5d%ip 0 brok51 is z foll[s3 ,:ile he 0 pr9t+ 8 tractate ( ! ,horizontall quadrant1 al?\gh he c\ld n b "k t x 0 injuri\s to me 9 respect ( my free gift to ,ma/] ,all51 & ( ,william ,=/]1 ^: translation ( my rules 0 !n ab\t to come =?3 yet su* 0 my good nature1 & 8 %amelessnesse1 t e day1 z any %eet 0 pr9t$1 hee s5t1 or br\ght ! same to mee at my *amb] 9 ,arundell h\se to p]use :i* ,i lov+ly & +5u\sly did1 & gave him my judgm5t ( x4 ,ev5 aft] ,=/]'s publication ( ,oughtr$'s ,circles ( ,proportion1 #afcb1 ,oughtr$ _h a book1 ,a canon ( ,s9es ,tang5ts & ,secants1 :i* he _h borr[$ f ,delama9 & 0 !n return+ 7,epi/le1 page 7#e774 ,! attacks :i* ,=/]1 9 ! preface to ! ,circles ( ,proportion1 made ^u ,delama9 7?\gh n nam+ ,delama97 />t$ ! qu>rel4 ,except = ,=/] & o!r pupils ( ,oughtr$ :o urg$ him on to ca/igate ,delama91 ! controv]sy might nev] h aris54 ,=/] express$ himself 9 "p z foll[s3 4 4 4 be+ 9 ! "t ( ! long vacation #afcj1 9 ! ,c\ntry1 at ! h\se ( ! ,rev]5d1 & my mo/ wor?y fri5d1 & ,tea*]1 ,mr4 ,william ,oughtr$ 7to ^: in/ruction ,i owe bo? my initiation1 & :ole progresse 9 ^! ,sci5ces47 ,i vpon occasion ( spee* told him ( a ,rul] ( ,numb]s1 ,s9es1 ,tang5ts1 :i* "o _h be-spok5 to be made 7su* z x vsually call$ ,mr4 ,gunt]'s ,rul]7 #f feet long1 to be vs$ ) a payre ( beame-compasses4 8,he answ]$ t 0 a poore inv5tion1 & ! p]=mance v tr\blesome3 ,b1 said he1 see+ y are tak5 ) su* me*anicall wayes ( ,in/rum5ts1 ,i w %ew y :at deuises ,i h _h by mee ^! _m ye>es40 ,& fir/1 hee br\ght to mee two ,rul]s ( t sort1 to be vs$ by apply+ "o to ! o!r1 )\t any compasses3 & aft] t hee %ew$ mee ^? l9es ca/ into a circle or ,r+1 ) ano!r m\eable circle vpon x4 ,i see+ ! great exp$it5esse ( bo? ^? wayes2 b especially1 ( ! latt]1 :]e9 x f>re excelle? any o!r ,in/rum5t :i* ha? b9 kn[ne2 told him1 ,i wond]$ t hee c\ld s _m ye>es conceale su* vseful inu5tions1 n onely f ! _w1 b f my selfe1 to :om 9 o!r p>ts & my/]ies ( ,art1 he _h b9 s lib]all4 ,he answ]$1 8,t ! true way ( ,art is n by ,in/rum5ts1 b by ,demon/ration3 & t x is a prepo/]\s c\rse ( vulg> ,tea*]s1 to beg9 ) ,in/rum5ts1 & n ) ! ,sci5ces1 & s 9-/ead ( ,arti/s1 to make _! ,s*oll]s only do]s ( tricks1 & z x 7 ,iugl]s3 to ! despite ( ,art1 losse ( preci\s "t1 & betray+ ( will+ & indu/ri\s wits1 vnto ignorance & idl5esse4 ,t ! vse ( ,in/rum5ts is inde$ excell5t1 if a man be an ,arti/3 b contemptible1 be+ set & oppos$ to ,art4 ,& la/ly1 t he meant to comm5d to me1 ! skill ( ,in/rum5ts1 b fir/ he w\ld haue me well in/ruct$ 9 ! ,sci5ces4 ,he also %ew$ me _m notes1 & ,rules = ! vse ( ^? circles1 & ( 8 ,horizontall ,in/rum5t1 7:i* he _h proiect$ ab\t #cj ye>es be=e7 ! mo/ "p writt5 9 ,lat9e4 ,all :i* ,i obta9$ ( him leaue to translate into ,engli%1 & make publique1 = ! vse1 & b5efit ( su* z 7 /udi\s1 & l\]s ( ^! excell5t ,sci5ces4 ,:i* ?+ :ile ,i ) mature1 & dilig5t c>e 7z my occasions w\ld give me leaue7 w5t ab\t to doe3 ano!r to :om ! ,au?or 9 a l\+ confid5ce disc\]$ ?is int5t1 us+ m ha/ !n good spe$1 w5t ab\t to preocupate2 ( :i* vntimely bir?1 & preu5t+ 7if n circumu5t+7 =w>dnesse1 ,i say no m3 b aduise ! /udi\s ,read]1 onely s f>re to tru/1 z he %al be sure do? agree to tru? ,art4 ,:ile 9 ?is d$ication ref]5ce is made to a slide rule or 8r+0 ) a 8moveable circle10 ! in/rum5t actually describ$ 9 ! ,circles ( ,proportion consi/s ( fix$ circles 8) an index to be op5$ aft] ! mann] ( a paire ( ,compasses40 ,delama91 z we h se51 _h decid$ pref]5ce = ! moveable circle4 ,to ,oughtr$1 on ! o!r h&1 "o design 0 ab\t z good z ! o!r2 he 0 m ( a !ori/ & repeat$ly express$ 8 contempt = ma!matical in/rum5ts4 ,9 8 ,epi/le 7page 7#be771 he says he _h n 8! "o halfe ( my int5tions ^u x0 7! rule 9 8 book71 nor "o ) a 8moveable circle & a ?read1 b ) an op5+ ,index at ! c5tre 7if s be t bee cause en\gh to make x to bee n ! same1 b ano!r ,in/rum5t7 = my "p ,i disclaime x3 x may g seeke ano!r ,ma/]3 :i* = ought ,i "k1 w prove to be ,elias ,all5 himselfe3 = at 8 reque/ only ,i alt]$ a little my rules f ! use ( ! moveable circle & ! ?read1 to ! two armes ( an ,index40 ,all p>ts ( ,delama9's ,grammelogia ,,iv1 except pages #a-bb & #ec-fh consid]$ above1 7 publi%$ aft] ! ,circles ( ,proportion1 = !y conta9 ref]5ces to ! ill treatm5t t ,delama9 felt or made believe t he felt1 t he _h receiv$ 9 ! book publi%$ by ,oughtr$ & ,=/]4 ,oughtr$'s ref]5ce to tea*]s ^: s*ol>s are 8do]s ( tricks10 8,iugl]s10 & ,=/]'s allusion to 8ano!r to :om ! ,au?or 9 a lov+ confid5ce0 expla9$ ! in/rum5t & :o 8w5t ab\t to preocupate0 x1 are repeat$ly m5tion$4 ,delama9 says1 7page 7#hi77 t at fir/ he did n int5d to express himself 9 pr9t1 8b s\ght peace & my "r by a private & fri5dly way40 ,oughtr$'s acc\nt ( ,delama9's c\rse is t ( an 8ill-natur$ man0 ) a 8virul5t tongue10 8s>donical laught]0 & 8malap]t saws9ess40 ,contra/+ ,=/] & ,delama91 he says t1 ( ! =m] he 8_h ! v fir/ m\ld+0 & made him feel t 8! way ( ,art0 is 8by demon/ration40 ,b ,delama9 0 8already corrupt$ ) do+ ^u ,in/rum5ts1 & q lo/ f ev] be+ made an ,arti/40 7,epi/le page 7#bg774 ,repeat$ly does ,oughtr$ ass]t ,delama9's ignorance ( ma!matics4 ,! two m5 7 evid5tly ( :olly diff]5t intellectual pr$ilections4 ,t ,delama9 lov$ in/rum5ts is q evid5t1 & we proce$ to describe 8 ef=ts to improve ! circul> slide rule4 ,! ,grammelogia ,,iv is d$icat$ to ,k+ ,*>les ,i4 ,delama9 says3 4 4 4 ,ev]y?+ ha? 8 beg9n+1 & curi\s ,arts seldome come to ! height at ! fir/2 ,x 0 my promise !n to enl>ge ! inv5tion by a way ( decuplat+ ! ,circles1 :i* ,i n[ pres5t unto y\r sacr$ ,maje/ie z ! qu9tess5ce & excell5cie !re ( 4 4 4 ,8 enl>g$ circul> rules are illu/rat$ 9 ! ,bodleian ,libr>y copy ( ,grammelogia ,,iv by f\r diagrams1 two ( !m be+ ! two draw+s on ! two title-pages at ! beg9n+ ( ! ,grammelogia ,,iv1 #d in*es 9 ext]nal diamet]1 & exhibit+ elev5 conc5tric circul> l9es c>ry+ graduations ( diff]5t sorts4 ,9 ! second ( ^! designs all circles are fix$4 ,! o!r two draw+s are ea* #aj in*es 9 ext]nal diamet] & exhibit #ah conc5tric circul> l9es2 ! fold$ %eet ( ! fir/ ( ^! draw+s is ins]t$ betwe5 pages 7#bc7 & 7#bd71 ! second fold$ %eet betwe5 pages 7#hc7 & 7#hd74 ,all circles ( ?is second in/rum5t are fix$4 ,c\nt+ 9 ! two small draw+s 9 ,grammelogia ,,iii1 !re are 9 all six draw+s ( slide rules 9 ! ,bodleian ,grammelogia ,,iv4 ,on pages 7#bd7 to 7#dc7 ,delama9 expla9s ! graduation ( slide rules4 ,he takes fir/ a rule :i* has "o circle ( equal p>ts1 divid$ into #ajjj equal divisions4 ,f a table ( log>i?ms he gets log #b #j4cja2 f ! numb] #cja 9 ! circle ( equal p>ts he draws a l9e to ! c5t] ( ! circle & m>ks ! int]section ) ! circles ( numb]s by ! figure #b4 ,?us he proce$s ) log #c1 log #d1 & s on2 also ) log s9 x & log tan x4 ,= log s9 x he uses two circles1 ! fir/ 7see page 7#bg77 = angles f #cd #bd to #e #dd #bb1 ! second circle f #e #dd #bb to #ij4 ,! draw+s d n %[ ! seconds4 ,he sugge/s _m diff]5t designs ( rules4 ,on page 7#bi7 he says3 ,= ! s+le projection ( ! ,circles ( my ,r+1 & ! divid+ & graduat+ ( !m3 :i* may bee s ins]t$ ^u ! edges ( ,circles ( mettle turn$ 9 ! =me ( a ,r+1 s t "o ,circle may moove betwe5e two fix$1 by helpe ( two /ayes1 !n may !re be graduat$ on ! face ( ! ,r+1 ^u ! out] edge ( ! mooveable & inn] edge ( ! fix$1 ! ,circle ( ,numb]s1 !n ^u ! inn] edge ( t mooveable ,circle1 & ! outw>d edge ( t inn] fix$ ,circle may be ins]t$ ! ,circle ( ,s9es1 & s accord+ to ! description ( ^? t are usually made4 ,9 addition to ^! l9es he proce$s to m5tion ! circle giv+ ! ord9>y division into degrees & m9utes1 & two circles ( tang5ts on ! o!r side ( ! rule4 ,next ,delama9 expla9s an arrangem5t ( all ! graduation on "o side ( ! rule by means ( 8a small *annell 9 ! inn]mo/ fix$ ,circle1 9 :i* may be plac$ a small s+le ,index1 :i* may h suffici5t l5g? to rea* f ! inn]mo/ edge ( ! ,mooveable ,circle1 unto ! outmo/ edge ( ! fix$ ,circle1 :i* may be moov$ to & fro at pleasure1 9 ! *annell1 :i* ,index may s]ve to %ew ! opposition ( ,numb]s0 7p4 7#ca774 ,f ?is x is cle> t ! inv5tion ( ! 8runn]0 goes back to ! v fir/ writ]s on ! slide rule4 ,aft] describ+ a modification ( ! above arrangem5t1 he adds1 8_m o!r =mes might be deliv]d1 ab\t ?is s+le projection0 7p4 7#cb774 ,proce$+ to ! 8enl>g+0 ( ! circles 9 ! ,r+1 to1 say1 ! 8,quadruple to t :i* is s+le1 t is1 f\re times great]10 ! 8equall p>ts0 are di/ribut$ ov] f\r circles in/ead ( only "o circle1 b ! g5]al me?od ( graduation is ! same z be=e 7p4 7#cc772 !re be+ n[ f\r circles c>ry+ ! log>i?ms ( numb]s1 & s on4 ,next he po9ts out 8sev]all wayes h[ ! ,circles ( ! ,ma!maticall ,r+ 7be+ inl>g$7 may be accommodat$ = practicall use30 7#a7 ,! ,circles are all fix$ 9 a pla9 & movable flat compasses 7or bett]1 a movable semicircle7 are us$ = fix+ any two positions2 7#b7 ,!re is a 8d\ble projection0 ( ea* log>i?mic l9e 8inl>g$ on a ,pla9e10 "o fix$1 ! o!r movable1 z %[n 9 8 fir/ figure on ! title-page1 a s+le index only be+ us$2 7#c7 use ( 8my great ,cyl9d] :i* ,i h long propos$ 79 :i* all ! ,circles are ( equall greatnesse17 & x may be made ( any magnitude or capacity1 b = a /udy 7hee t w be at ! *>ge7 x may be ( a y>d diamet] & ( su* an indiff]5t l5g? t x may conta9e #ajj or m ,circles fix$ p>allel "o to ! o!r on ! ,cyl9d]1 hav+ a space betwe5e ea* ( !m1 s t !re may bee z _m mooveable ,circles1 z !re are fix$ ones1 & ^! ( ! mooveable l9k$1 or fa/5$ toge!r1 s t !y may all moove toge!r by ! fix$ ones 9 ^! spaces1 ^: edges bo? ( ! fix$1 & mooveable be+ graduat$ by helpe ( a s+le ,index w %ew ! proportionalls by opposition 9 ?is d\ble ,projection1 or by a d\ble ,index 9 a s+le ,projection0 7p4 7#cf774 ,next foll[s ! detail$ description ( 8 ,r+ 8on a ,pla9e1 accord+ to ! diagramme t 0 giv5 ! ,k+ 7= a view ( t projection7 & aft]w>ds ! ,r+ x selve40 ,! diagram is ! l>ge "o :i* we m5tion$ z ins]t$ betwe5 pages 7#bc7 & 7#bd74 ,! in/rum5t has two circles1 "o moveable1 ^u ea* ( :i* are describ$ #ac di/9ct circul> graduations4 ,! l9es on ! fix$ circle are3 8,! ,circle ( degrees & cal5d>10 ,e4 8,circle ( equall p>ts1 & "p ( ! ,equator1 & ,m]idian10 ,,tt4 8,! ,circle ( ,tang5ts10 ,s4 8,! ,circle ( ,s9es10 ,d4 8,! ,circle ( ,decimals10 ,n4 8,! ,circle ( ,numb]s40 ,! l9es on ! movable circle are3 ,n4 8,! ,circle ( ,numb]s10 ,e4 8,! ,circle ( equat$ figures1 & bodies10 ,s4 8,! ,circle ( ,s9es10 ,,tt4 8,! ,circle ( ,tang5ts10 ,y4 8,! ,circle ( "t1 ye>es1 & mone!s40 ,on pages 7#hd7-7hh7 ,delama9 expla9s an enl>gem5t ( 8 ,r+ = computations involv+ ! s9es ( angles ne> to #ij4 ,on page 7#hf7 he says3 ,i h cont9u$ ! ,s9es ( ! ,projection unto two sev]all revolutions1 ! "o beg9n+ at #gg4;gr4 #de4m4 #f4s4 & ends at #ij4;gr4 7be+ ! la/ revolution ( ! decuplation ( ! =m]1 or ! hundr$ "p ( t ,projection7 ! o!r beg9n+ at #hf4;gr4 #f4m4 #dh4s4 & ends at #ij4;gr4 7be+ ! la/ ( a t]n>y ( decuplat$ revolutions1 or ! ?\s& "p ( t ,projection7 & may bee ?us us$4 ,he expla9s ! mann] ( us+ ^! extra graduations4 ,?us he claims to h atta9$ degrees ( accuracy :i* enabl$ him to d :at 8"s "o0 _h decl>$ 8c\ld n bee done40 ,x is h>dly necess>y to po9t out t ,delama9's ,grammelogia ,,iv sugge/s designs ( slide rules :i* inv5tors two hundr$ or m ye>s lat] 7 endeav\r+ to produce4 ,:i* ( ,delama9's designs ( rules 7 actually made & us$1 he does n /ate explicitly4 ,he ref]s to a rule #ah in*es 9 diamet] z if x _h be5 actually con/ruct$ 7pages 7#hf71 7#hh774 ,oughtr$ %[$ no appreciation ( su* /udy 9 design+ & ridicul$ ,delama9's ef=ts1 9 8 ,epi/le4 ,additional elucidations ( 8 designs ( rules1 along ) explanations ( ! relations ( 8 "w to t ( ,gunt] & ,napi]1 & sallies direct$ aga9/ ,oughtr$ & ,=/]1 are conta9$ on pages 7#h7-7ba7 ( 8 ,grammelogia ,,iv4 ,v4 ,,indep5d5ce ,,& ,,priority ,,( ,,inv5tion ,! "q ( indep5d5ce & priority ( inv5tion is discuss$ by ,delama9 m specifically on pages 7#hi7-7aac72 ,oughtr$ devotes 8 entire ,epi/le to x4 ,x is difficult to det]m9e def9itely :i* publication is ! lat]1 ,delama9's ,grammelogia ,,iv or ,oughtr$'s ,epi/le4 ,ea* seems to quote f ! o!r4 ,probably ! explanation is t ! two publications conta9 argum5ts :i* 7 previ\sly pass$ f "o antagoni/ to ! o!r by ^w ( m\? or by private lett]4 ,oughtr$ ref]s 9 8 ,epi/le 7p4 7#ab77 to a lett] f ,delama94 ,we believe t ! ,epi/le came aft] ,delama9's ,grammelogia ,,iv4 ,delama9 claims = himself ! inv5tion ( ! circul> slide rule4 ,he says 9 8 ,grammelogia ,,iv4 7p4 7#ii771 8:5 ,i _h a sight ( x1 :i* 0 9 ,febru>y1 #afbi 7z ,i specifi$ 9 my ,epi/le7 ,i c\ld n conceale x long]1 envy+ my selfe1 t o!rs did n ta/ ( t :i* ,i f\nd to c>ry ) x s delightfull & pleasant a goate ta/e 4 4 40 ,delama9 ass]ts 7)\t pro(7 t ,oughtr$ 8nev] saw x z he n[ *all5ge? x to be 8 inv5tion1 untill x 0 s fitt$ to 8 h&1 & t he made all 8 practise on x aft] ! publi%+ ( my ,booke ^u my ,r+1 & n be=e2 s x 0 easie = him or "s o!r to write "s uses ( x 9 ,lat9 aft] ,*ri/mas1 #afcj & n ! ,somm] be=e1 z is falsely all$g$ by "s "o 4 4 40 7p4 7#ia774 ,delama9's accusation ( !ft on ! "p ( ,oughtr$ _c be s]i\sly consid]$4 ,oughtr$'s reputation z a ma!matician & 8 /&+ 9 8 community g aga9/ su* a supposition4 ,moreov]1 ,william ,=/] is a witness = ,oughtr$4 ,! fact t ,oughtr$ _h ! ma/]y ( ! rectil9e> slide rule z well1 :ile ,delama9 9 #afcj speaks only ( ! circul> rule1 weighs 9 ,oughtr$'s fav\r4 ,oughtr$ says he inv5t$ ! slide rule 8above twelve ye>es agoe10 t is1 ab\t #afba1 & 8,i ) m9e owne h& made me two su* ,circles1 :i* ,i h us$ ev] s9ce1 z my occasions requir$10 7,epi/le p4 7#bb774 ,on ! same page1 he describes 8 mode ( discov]y ?us3 ,i f\nd t x requir$ _m times too great a paire ( ,compasses 9 us+ ,gunt]'s l9e1 :i* w\ld bee h>d to op51 apt to slip1 & tr\blesome = use4 ,i !re=e fir/ devis$ to h ano!r ,rul] ) ! =m]3 & s by sett+ & apply+ "o to ! o!r1 ,i did n onely take away ! use ( ,compasses1 b also make ! worke mu* m easy & exp$ite3 :5 ,i %\ld n at all ne$ ! motion ( my h&1 b onely ! glanc+ at my sight3 & ) "o position ( ! ,rul]s1 & view ( m9e eye1 see n "o onely1 b ! manifold proportions incid5t unto ! "q int5d$4 ,b yet ?is facility also want$ n "s difficulty especially 9 ! l9e ( tang5ts1 :5 "o ar* 0 9 ! =m] m$iety ( ! quadrant1 & ! o!r 9 ! latt]3 = 9 ?is case x 0 ne$ful t ei!r "o ,rul] mu/ bee z long aga9e z ! o!r2 or else t ,i mu/ use an inv]sion ( ! ,rul]1 & regression4 ,by ?is consid]ation ,i fir/ ( all saw t if ^? l9es ^u bo? ,rul]s 7 inflect$ into two circles1 t ( ! tang5ts be+ 9 bo? d\bl$1 & t ^? two ,circles %\ld move "o ^u ano!r2 !y ) a small ?read 9 ! c5t] to direct ! sight1 w\ld bee suffici5t ) incr$ible & wond]full facility to worke all que/ions ( ,trigonometry 4 4 4 ,oughtr$ said t he _h no desire to publi% 8 inv5tion1 b 9 ! vacation ( #afcj f9ally promis$ ,william ,=/] to let him br+ out a translation4 ,oughtr$ claims t ,delama9 got ! inv5tion f him at ,alhallontide ,novemb] #a1 #afcj1 :5 !y met 9 ,london4 ,! acc\nts ( t meet+ we proce$ to give 9 d\ble column4 ,delama9's ,/atem5t ,grammelogia ,,iv1 page 7#ih7 84 4 4 ab\t ,alhalontide #afcj4 7z our ,au?ors reporte?7 0 ! "t he 0 circumv5t$1 & !n 8 int5t 9 a lov+ mann] 7z be=e7 he op5$ unto me1 :i* p>ticul>ly ,i w dismantle 9 ! v nak$ tru?3 =1 wee be+ walk+ toge!r "s few weekes be=e ,*ri/mas1 ^u ,fi%/reet hill1 we disc\rs$ ^u sundry ?+s ,ma!maticall1 bo? ,!oreticall & ,practicall1 & ( ! excell5t inv5tions & helpes t 9 ^! dayes 7 produc$1 among/ :i* ,i 0 n a little tak5 ) t ( ! ,log>y?mes1 comm5d+ greatly ! +5uitie ( ,mr4 ,gunt] 9 ! ,projection1 & inv5t+ ( 8 ,rul]1 9 ! l9es ( proportion1 extract$ f ^! ,log>y?mes = ord9>y ,practicall uses2 ,he reply$ unto me 79 ^! v words7 ,:at w yov say to an ,inv5tion t ,i h1 :i* 9 a lesse ext5t ( ! ,compasses %all worke tru] !n t ( ,mr4 ,gunt]s ,rul]1 ,i ask$ him !n ( :at =me x 01 he answ]$ ) "s pause 7:i* no d\bt argu$ 8 suspition ( mee t ,i might conceive x7 t x 0 ,ar*+-wise1 b n[ hee sayes t hee told mee !n1 x 0 ,circul> 7b 7 ,i put to my oa? to avoid ! guilt ( ,consci5ce ,i w\ld conclude 9 ! =m]47 ,at :i* imm$iately ,i answ]$1 ,i _h ! l my selfe1 & s we disc\rs$ n a ^w m t\*+ t subject 4 4 4 ,!n aft] my com+ home ,i s5t him a sight ( my ,projection drawne 9 ,pa/bo>d3 ,n[ admit ,i _h n ! ,inv5tion ( my ,r+ be=e ,i disc\rs$ 4 4 4 x 0 n s facil = mee 4 4 4 to raise & compose s complete1 & absolute an ,in/rum5t f s small a pr9ciple1 or glimpse ( light 4 4 40 ,oughtr$'s ,/atem5t ,epi/le1 page 7#bc7 8,%ortly aft] my gift to ,elias ,all51 ,i *anc$ to meet ) ,ri*>d ,delama9 9 ! /reet 7x 0 at ,alhallontide7 & z we walk$ toge!r ,i told him :at an ,in/rum5t ,i _h giv5 to ,ma/] ,all51 bo? ( ! ,log>i?mes project$ into circles1 :i* be+ lesse !n "o foot diamet] w\ld p]=me z mu* z "o ( ,ma/] ,gunt]s ,rul]s ( sixe feet long3 & also ( ! ,pro/apha]eses ( ! ,plannets & second motions4 ,su* an inv5tion h ,i said he3 = n[ 8 int5tions 7t is 8 ambition7 beganne to worke3 4 4 4 ,b he sai?1 ,!n aft] my comm+ home ,i s5t him a sight ( my projection drawne 9 pa/-bo>d4 ,see h[ notori\sly he jugle? )\t an ,in/rum5t4 ,!n aft]3 h[ long aft]8 a sight ( my projection3 ( h[ mu*8 ,m !n sev5 weekes aft] on ,decemb] #bc1 he s5t to mee ! l9e ( numb]s onely set ^u a circle3 4 4 4 & s mu* onely he pres5t$ to 8 ,maje/y3 b z = ,s9e or tang5t ( 81 !re 0 n ! lea/ %ew ( any4 ,nei!r c\ld he give to ,ma/] ,all5 any direction = ! composure ( ! circles ( 8 ,r+1 or = ! division ( !m3 z ^u 8 oa? ,ma/] ,all5 w te/ify h[ hee misl$ him1 & made him lab\r 9 va9 above ?ree weeks toge!r1 until ,ma/] ,all5 himselfe f\nd out 8 ignorance & mi/ak+1 :i* is m cle>e !n is possible ) any impud5ce to be outfac$40 ,oughtr$ makes a fur!r /atem5t 7,epi/le1 p4 7#bd77 z foll[s3 ,delama9 he>+ t ,br[n ) 8 ,s]p5t9e _h ano!r l9e by :i* he c\ld worke to m9utes 9 ! #ij degree ( s9es 4 4 4 gave ! 8 booke to ,br[ne3 :o 9 ?ankfulnesse c\ld n b gratify ,delama9 ) 8 ,l9es also3 & tea* him ! use ( !m1 b especially ( ! great ,l9e3 ) ?is caution on bo? sides1 t "o %\ld n m$dle ) ! o!rs inv5tion4 ,two dayes aft] ,delama9 4 4 4 because he _h f\nd "s ?+s to be alt]$ !r91 4 4 4 ask$ = ! booke 4 4 4 b z soone z he _h got x 9 8 h&s he r5t out all ! middle "p ) ! two ,s*emes put !m up 9 8 pocket w5t 8 way 4 4 4 & 4 4 4 lab\re? to recall all ! bookes he _h giv5 =? 4 4 4 ,& %ortly aft] ?is he got a new ,pr9t] 7:o 0 ignorant ( 8 =m] ,s*emes7 to pr9t him new3 giv+ him an especiall *>ge ( ! out]mo/ l9e newly grav5 9 ! ,plate1 :i* inde$ is ,br[nes v l9e3 & !n alt]+ 8 book 4 4 4 ,?is & o!r /atem5ts made by ,oughtr$ seem damag+ to ,delama9's reputation4 ,b x is q possible t ,oughtr$'s guesses z to ,delama9's motives are wrong4 ,moreov]1 "s ( ,oughtr$'s /atem5ts are n fir/ h& k ) him1 b m]e he>say4 ,"o may accept 8 fir/ h& facts & /ill cle> ,delama9 ( wrong do+4 ,!re is always dang] t rival claimants ( an inv5tion or discov]y w proce$ on ! assumption t no "o else c\ld possibly h come indep5d5tly ^u ! same devices t !y !mselves did2 ! hi/ory ( sci5ce proves ! opposite4 ,seldom is an inv5tion ( any note made by only "o man4 ,we d n feel compet5t to judge ,delama9's case4 ,we "k too little ab\t him z a man4 ,we incl9e to ! op9ion t ! hypo!sis ( indep5d5t inv5tion is ! mo/ plausible4 ,at any rate1 ,delama9 figures 9 ! hi/ory ( ! slide rule z ! publi%] ( ! e>lie/ book !reon & z an en?usia/ic & skillful design] ( slide rules4 ,! effect ( ?is controv]sy ^u int]e/$ fri5ds 0 probably small4 ,d\btless few p read bo? sides4 ,oughtr$ says3#ba 8?is sc&all 4 4 4 ha? ) !m1 to :om ,i am n kn[ne1 wr\ght me mu* prejudice & disadvantage 4 40 ,aubrey1#bb a fri5d ( ,oughtr$1 ref]s to ,delama9 8:o 0 s sawcy to write aga9/ him0 & rememb]s hav+ se5 8_m ye>es s9ce1 tw5ty or m good v]ses made0 aga9/ ,delama94 ,ano!r fri5d ( ,oughtr$1 ,william ,rob9son1 :o _h se5 "s ( ,delama9's publications1 b n 8 ,grammelogia ,,iv1 wrote 9 a lett] to ,oughtr$1 %ortly be=e ! appe>ance ( ! latt]'s ,epi/le3 ,i _c b wond] at ! indiscretion ( ,ri*4 ,delama91 :o be+ consci\s to himself t he is b ! pickpurse ( ano!r man's wit1 w\ld ?us inconsid]ately provoke & awake a sleep+ lion 4 4 4 he ha? s weakly 7?\gh 9 my judgm5t1 va+lori\sly en\gh7 comm5d$ 8 own lab\r 4 4 4#bc ,delama9 pres5t$ ,k+ ,*>les ,i ) "o ( 8 sun-dials1 also ) a manuscript &1 lat]1 ) a pr9t$ copy ( 8 book ( #afcj4 ,a draw+ ( 8 improv$ slide rule 0 s5t to ! ,k+ & ! ,grammelogia ,,iv is d$icat$ to him4 ,! ,k+ mu/ h be5 favorably impress$1 = ,delama9 0 appo9t$ tutor to ! ,k+ 9 ma!matics4 ,8 wid[ petition$ ! ,h\se ( ,lords 9 #afde = relief2 he _h t5 *ildr54#bd ,an?ony ,wood /ates t ,*>les ,i1 on ! day ( 8 execution1 comm&$ 8 fri5d ,?omas ,h]b]t 8to give 8 son ! duke ( ,york 8 l>ge r+-sundial ( silv]1 a jewel 8 maj4 mu* valu$40 ,an?ony ,wood adds1 8x 0 inv5t$ & made by ,ri*4 ,delama9e a v able ma!matician1 :o project$ x1 & 9 a little pr9t$ book did %ew its excell5t use 9 resolv+ _m que/ions 9 ari?metic & o!r r>e op]ations to be wr\ght by x 9 ! ma!matics40#be ,,vi4 ,,oughtr$',s ,,gaug+ ,,l9e1 #afcc ,x has n be5 g5]ally kn[n1 hi!rto1 t ,oughtr$ design$ a rectil9e> slide rule = gaug+ & publi%$ a description !re( 9 #afcc4bf ,9 8 ,circles ( ,proportion1 *apt] ,,ix1 ,oughtr$ _h (f]$ a clos] approximation ?an t ( ,gunt] = ! capacity ( casks4 ,! ,gaug] ( ,london expo/ulat$ ) ,oughtr$ = presum+ to "q any?+ t ,gunt] _h writt54 ,! ensu+ discussion l$ to an invitation ext5d$ by ! ,company ( ,v9tn]s to ! in/rum5t mak] ,elias ,all5 to reque/ ,oughtr$ to design a gaug+ rod4#bg ,?is he did1 & ,all5 receiv$ an ord] = 8?reescore0 in/rum5ts4 ,on page #ai ,oughtr$ describes 8 #8,gaug+ ,rod3' ,x consi/e? ( two rul]s ( brasse ab\t #cb yn*es ( l5g?1 :i* also are halfe an yn* broad1 & a qu>t] ( an yn* ?ick 4 4 4 ,at "o end ( bo? ^? rul]s are two little sockets ( brasse fa/5$ on /rongly3 by :i* ! rul]s are held toge!r1 & made to move "o ^u ano!r1 & to bee drawne out unto any l5g?1 z occasion %all require3 & :5 y h !m at ! j l5g?1 !re is ^u "o ( ! sockets a long ,scrue-p9 to scrue !m fa/4 ,!re are graduations on ?ree sides ( ! rul]s1 "o graduation be+ ! log>i?mic l9e ( numb]s4 ,he says 7p4 #ci71 8! man] ( comput+ ! ,gauge-divisions ,i h conceal$40 ,w4 ,rob9son1 :o 0 a fri5d ( ,oughtr$1 wrote him z foll[s3#bh ,i h light ^u y\r little book ( artificial gaug+1 :]e) ,i am mu* tak51 b ,i want ! rod1 nei!r c\ld ,i get a sight ( "o ( !m at ! "t1 because ,mr4 ,all5 _h none left 4 4 4 ,i =got to ask ,mr4 ,all5 ! price ( "o ( !m1 :i* if n mu* ,i w\ld h "o ( !m40 ,oughtr$ annotat$ ?is passage ?us3 8,or 9 wood1 if any be made 9 wood by ,?ompson or any o!r40 ,ano!r ( ,oughtr$'s admir]s1 ,sir ,*>les ,cav5di%1 wrote1 on ,febru>y #aa1 #afce ?us3#bi ,i ?ank y = y\r little book1 b especially = ! way ( calculat+ ! divisions ( y\r gaug+ rod4 ,i wi%1 bo? = _! own sakes & y\rs1 t ! citiz5s 7 z capable ( ! acut5ess ( ?is inv5tion1 z !y are commonly gre$y ( ga91 & !n ,i d\bt n b !y w\ld give y a bett] recomp5se ?an ,i d\bt n[ !y w4 ,on ,april #bj1 #afch1 we f9d ,oughtr$ giv+ ,elias ,all5 directions#cj 8ab\t ! mak+ ( ! two rul]s40 ,z 9 #afcc1ca s n[1 ,oughtr$ takes "o rul] long] ?an ! o!r4 ,?is #afcc in/rum5t 0 us$ also z 8a crosse-/affe to take ! height ( ! ,sunne1 or any ,/>re above ! ,horizon1 & also _! di/ances40 ,! long] rul] 0 call$ /affe1 ! %ort] transv]s>ie4 ,:ile 9 #afcc he took ! l5g?s ( ! two 9 ! ratio 8almo/ #c to #b10 9 #afch1 he took 8! transv]s>y ?ree qu>t]s ( ! /aff's l5g?1 4 4 4 t ! divisions may be l>g]40 ,,vii4 ,,o!r ,,sev5te5? ,,c5tury ,,slide ,,rules ,9 my ,hi/ory ( ! ,slide ,rule ,i treat ( ,se? ,p>tridge1 ,?omas ,ev]>d1 ,h5ry ,cogge%all1 ,w4 ,hunt & ,sir ,isaac ,newton4#cb ,( ,p>tridge's ,d\ble ,scale ( ,proportion1 ,london1 ,i h exam9$ a copy dat$ #affa1 :i* is ! e>lie/ date = ?is book t ,i h se54 ,z f> z we "k1 #affa is ! e>lie/ date ( publications on ! slide rule1 s9ce ,oughtr$ & ,delama94 ,b x w\ld n be surpris+ if ! int]v5+ #bh ye>s 7 f\nd n s b>r5 z !y seem at pres5t4 ,! #affa & #affb impressions ( ,p>tridge are id5tical1 except = ! date on ! title-page4 ,william ,leyb\rn1 :o pr9t$ ,p>tridge's book1 speaks 9 high appreciation ( x 9 8 own book4#cc ,9 #affa 0 publi%$ also ,john ,br[n's fir/ book1 ,description & ,use ( a ,joynt-,rule1 previ\sly m5tion$4 ,9 ,*apt] ,,xviii he describes ! use ( 8,mr4 ,:ites rule0 = ! measur+ ( bo>d & timb]1 r\nd & squ>e4 ,he calls ?is a 8slid+ rule40 ,! exi/5ce1 9 #affa1 ( a 8,:ites rule0 indicates activities 9 design+ ( :i* we "k z yet v little4 ,9 8 book ( #agfa1 previ\sly quot$1 ,br[n gives a draw+ ( 8,:ite's slid+ rule0 7p4 #aic72 also a special contrivance ( 8 own1 z indicat$ by him 9 ^! words3 ,a fur!r improvem5t ( ! ,triangul> ,quadrant1 z ,i h made x sev]al times1 ) a slid+ ,cov] on ! 9-side1 :5 made holl[1 to c>ry ,ink1 ,p5s1 & ,compasses2 !n on ! slid+ ,cov]1 & ,edges1 is put ! ,l9e ( ,numb]s1 accord+ to ,mr4 ,:ite's fir/ ,contrivance = mann] ( op]ation2 b mu* augm5t$1 & made easie1 by ,john ,br[n4 ,he gives no draw+ ( 8 8triangul> quadrant10 h5ce 8 acc\nt ( x is unsatisfactory4 ,he expla9s ! use ( 8gage-po9ts40 ,8 plac+ log>i?mic l9es on ! edges ( in/rum5t boxes 0 outdone 9 oddity lat] by ,ev]>d :o plac$ !m on tobacco-boxes4#cd ,9 ,br[n's publication ( #agjd ! ,:ite slide rule is giv5 aga91 8be+ z neat & ready a way z ev] 0 us$40 ,he tells also ( a 8glasi]'s slid+ rule40 ,william ,leyb\rn expla9s 9 #afgc h[ ,w+ate's d\ble & triple l9es = squ>+ & cub+1 or squ>e & cube root1 c be us$ on slide rules4#ce ,beg9n+ e>ly 9 ! hi/ory ( ! slide rule1 :5 ,oughtr$ design$ 8 8gaug+ rod10 we notice ! design+ ( rules int5d$ = v special purposes4 ,ano!r su* contrivance1 :i* enjoy$ long popul>ity1 0 ! ,timb] ,measure by a ,l9e1 by ,h54 ,cogge%all1 ,g5t41 ,london1 #afgg1 a booklet ( #ce pages4 ,cogge%all says 9 8 preface3 ,= :at c be m ready & easie1 !n hav+ set twelve to ! l5g?1 to see ! ,cont5t exactly aga9/ ! ,girt or ,side ( ! ,squ>e4 ,:]eas on ,mr4 ,p>tridge's ,scale ! ,cont5t is ! ,six? ,numb]1 :i* is f> m tr\blesome !n ev5 ) ,compasses4 ,"o l9e on ,cogge%all's rule beg9s ) #d & ext5ds to #dj1 ^! numb]s be+ ! 8,girt0 7a qu>t] ( ! circumf]5ce71 :i* 9 ord9>y practice ( measur+ r\nd timb] lies betwe5 #d in*es & #dj in*es4 ,?is 8,girt l9e0 slides 8aga9/ ! l9e ( ,numb]s 9 two ,l5g?s1 to :i* x is exactly equal40 ,a second edition1 #afhb1 %[s "s *anges 9 ! rule1 z well z an enl>gem5t & *ange ( title ( ! book itself3 ,a ,treatise ( ,measures1 by a ,two-foot ,rule1 by ,h4 ,c4 ,g5t1 ,london1 #afhb4 ,9 ?is1 ! description ( ! rule is giv5 ?us3 ,!re are f\r ,l9es on ea* flat ( ?is ,rule2 two next ! outw>d edges1 :i* are ,l9es ( ,measure2 & two next ! inw>d edges1 :i* are ,l9es ( ,proportion4 ,on "o flat1 next ! inw>d edges1 is ! ,squ>e-l9e ,girt-l9e 9 r\nd timb] measurem5t ) ! ,l9e ( ,numb]s 8 fell[4 ,next ! outw>d1 a ,l9e ( ,in*es divid$ into ,halfs1 ,qu>t]s1 & ,half-,qu>t]s2 f #a to #ab on "o ,rule2 & f #ab to #bd on ! o!r4 ,on ! o!r flat1 next ! inw>d edges1 is ! d\ble ,scale ( ,numb]s = solv+ proportions4 ,next ! outw>d on "o ,rule a ,l9e ( ,in*es divid$ ea* into t5 p>ts2 & ?is = gaug+1 etc4 ,on ! o!r a foot divid$ into #ajj p>ts4 ,lat] fur!r *anges 7 introduc$ 9 ,cogge%all's rule4#cf ,x is wor?y ( note t ,cogge%all's slide rule book1 ,! ,art ( ,practical ,measur+1 0 review$ 9 ! ,acta eruditorum1 anno #afia1 p4 #dgc2 h5ce ,leupold's description#cg ( ! rectil9e> slide rule 9 8 ,!atrum ari?metico-geometricum1 ,leipzig1 #agbg1 ,cap4 ,,xiii1 p4 #ga1 is n ! e>lie/ ref]5ce to ! rectil9e> rule f\nd 9 ,g]man publications4 ,! above date is e>li] ev5 ?an ,bil]'s ref]5ce to a circul> slide rule 9 8 ,descriptio in/rum5ti ma!matici univ]salis ( #afif4 ,two not$ slide rules = gaug+ 7 describ$ by ,?o4 ,ev]>d1 ,philoma?1 9 8 ,/]eometry made easie1 ,london1 #afhd4 ,he designates 8 l9es by ! capital lett]s ,a1 ,b1 ,c1 ,d1 ,e4 ,on ! fir/ in/rum5t1 ,a on ! rule1 & ,b & ,c on ! slide1 h ea* two radiuses ( numb]s1 ,d has only "o1 :ile ,e has ?ree4 ,! second rule is describ$ 9 an ,app5dix2 x is "o foot long1 ) two slides enabl+ ! rule to be ext5d$ to #c feet4 ,ev]>d's in/rum5ts 7 made 9 ,london by ,isaac ,c>v] :o1 soon aft]1 himself wrote a sixte5-page ,description & ,use ( a ,new ,slid+ ,rule1 project$ f ! ,tables 9 ! ,gaug]'s ,magaz9e1 ,london1 #afhg1 :i* 0 8pr9t$ = ,william ,hunt0 & b\nd 9 "o volume ) a book by ,hunt1 call$ ,! ,gaug]'s ,magaz9e1 ,london1 #afhg4 ,?is appe>s to be ! same ,william ,hunt :o lat] br\ght out descriptions ( 8 own ( slide rules4 ,! in/rum5t describ$ by ,c>v] 8consi/s ( ?ree pieces1 two :]e( are moveable to be drawn out till ! :ole be #cf in*es long40 ,x has sev]al non-log>i?mic graduations1 toge!r ) log>i?mic l9es m>k$ ,a1 ,b1 ,c1 ,d1 ( :i* ,a1 ,b1 ,c are 8d\ble l9es10 & ,d a 8s+le l9e0 us$ = squ>es & squ>e roots4 ,x is design$ = ! det]m9ation ( ! vacuity ( a 8sph]oidal cask ly+10 a 8sph]oidal cask /&+10 & a 8p>abolical cask ly+40 ,ano!r sev5te5? c5tury writ] on ! slide rule is ,john ,atk9son1 :om we h m5tion$ e>li]4 ,he says3#ch 8,! ,l9es ( ,numb]s1 ,s9es & ,tang5ts1 are set d\ble1 t is1 "o on ea* side1 z ! middle piece slides3 :i* middle piece is s contriv$1 to slip to & fro easily1 to slide out1 & to be put 9 any side upp]mo/1 9 ord] to br+ ^? ,l9es toge!r 7or aga9/ "o ano!r7 mo/ prop] = solv+ ! ,"q1 wr\ght by ,slid+-,gunt]40 ,! data pres5t$ 9 ?is article %[ t1 :ile ! e>lie/ slide rules 7 ( ! circul> type1 ! lat] slide rules ( ! sev5te5? c5tury 7 ( ! rectil9e> type4#ci ,janu>y #ab1 #aiae4 ,footnotes #a;,f4 ,cajori1 ,hi/ory ( ! ,log>i?mic ,slide ,rule & ,alli$ ,in/rum5ts1 ,new ,york1 #aiji1 pp4 #g-ad1 also ,add5da i-vi4 #b;,f4 ,cajori1 8,on ! ,inv5tion ( ! ,slide ,rule10 9 ,colorado ,college ,publication1 ,eng9e]+ ,s]ies ,vol4 #a1 #aiaj4 ,an ab/ract ( ?is is giv5 9 ,nature 7,london71 ,vol4 #hb1 #aiji1 p4 #bfg4 #c;,f4 ,cajori1 ,hi/ory etc41 p4 #ad4 #d;,art4 8,slide ,rule0 9 ! ,p5ny ,cyclopa$ia & 9 ! ,engli% ,cyclopa$ia ,arts & ,sci5ces4 #e;,an?ony ,wood1 ,a!nae oxoni5ses 7,ed4 ,p4 ,bliss71 ,london1 ,vol4 ,,iii1 #ahag1 p4 #dbc4 #f,! full title ( ! book :i* ,w+ate publi%$ on ?is subject 9 ,p>is is z foll[s3 ,l',vsage de la ,reigle de ,proportion en l',ari?metique ,geometrie4 ,p> ,edmond ,vv+ate1 ,g5til-homme ,anglois4 1 4 ,9 t5ui1 s$ n t5uis vsusve1 laborne4 ,a ,p>is1 ,*ez ,mel*ior ,mondi]e1 demeurant en l',isle du ,palais1 la ru de ,h>lay aux deux ,vip]es4 ,m4 ,,dc4 ,,xxiv4 ,auec ,priuilege du ,roy4 ,back ( ! title page is ! ann\ncem5t3 ,notez que la ,reigle de ,proportion en t\tes faons se v5d ,p>is *ez ,mel*ior ,tau]ni]1 ,graueur ,imprimeur du ,roy p\r les ,tailles d\ces1 demeurant en l',isle du ,palais sur le ,quay qui reg>de la ,megiss]ie l',espic d'or4 #g,! title-page ( ! edition ( #afeh is z foll[s3 ,! ,use ( ! ,rule ( ,proportion 9 ,ari?metick ,geometrie4 ,fir/ publi%$ at ,p>is 9 ! ,fr5* tongue1 & d$icat$ to ,monsieur1 ! !n k+'s onely ,bro!r 7n[ ,duke ( ,orleance74 ,by ,edm4 ,w+ate1 an ,engli% ,g5t4 ,& n[ translat$ into ,engli% by ! ,au?or4 ,:]e9to is n[ also ins]t$ ! ,con/ruction ( ! same ,rule1 a f>!r use !re( 4 4 4 #bnd edition inl>g$ & am5d$4 ,london1 #afeh4 #h,memories ( ! ,life ( t ,le>n$ ,antiqu>y1 ,elias ,a%mole1 ,esq42 ,drawn up by himself by way ( ,di>y4 ,) ,app5dix ( orig9al ,lett]s4 ,publi%'d by ,*>les ,burman1 ,esq41 ,london1 #agag1 p4 #bc4 #i,ma!matical ,tables1 #ahaa1 p4 #cf1 & art4 8,gunt]'s ,l9e0 9 8 ,phil4 & ,ma?4 ,diction>y1 ,london1 #ahae4 #aj,to ! ,engli% ,g5trie1 & all o!rs /udi\s ( ! ,ma!maticks1 :i* %all bee read]s h]e(4 ,! j ,apologie ( ,wil3 ,ovghtr$1 aga9/ ! slaund]\s insimulations ( ,ri*>d ,delama91 9 a ,pamphlet call$ ,grammelogia1 or ! ,ma!maticall ,r+1 or ,mirifica log>i?morum projectio circul>is4 ,we %all ref] to ?is docum5t z ,epi/le4 ,x 0 publi%$ )\t date 9 #cb unnumb]$ pages ( f9e pr9t1 & 0 b\nd 9 ) ,oughtr$'s ,circles ( ,proportion1 9 ! editions ( #afcc & #afci4 ,9 ! #afcc edition x is ins]t$ at ! end ( ! volume j aft] ! ,addition vnto ! ,vse ( ! ,in/rum5t etc41 & 9 t ( #afci imm$iately aft] ! preface4 ,x 0 omitt$ f ! ,ox=d edition ( #affj4 ,! ,epi/le 0 also publi%$ sep>ately4 ,!re is a sep>ate copy 9 ! ,briti% ,museum1 ,london4 ,aubrey1 9 8 ,brief ,lives1 edit$ by ,a4 ,cl>k1 ,vol4 ,,ii1 ,ox=d1 #ahih1 p4 #aac1 says qua9tly1 8,he writt a /it*'t pamphlet ab\t #afc78d7 aga9/ 4 4 4 ,delama9e40 #aa,?omas ,br[ne is m5tion$ by ,/one 9 8 ,ma!matical ,in/rum5ts1 ,london #agbc1 p4 #af4 ,see also ,cajori1 ,hi/ory ( ! ,slide ,rule1 ,new ,york1 #aiji1 p4 #ae4 #ab,! ,description & ,use ( a ,joynt-,rule3 4 4 4 also ! use ( ,mr4 ,:ite's ,rule = measur+ ( ,bo>d & ,timb]1 r\nd & squ>e2 ,) ! mann] ( ,vs+ ! ,s]p5t9e-l9e ( ,numb]s1 ,s9es1 ,tang5ts1 & ,v]s$ ,s9es4 ,by ,j4 ,br[n1 ,philom41 ,london1 #affa4 #ac;,a ,collection ( ,c5t]s & ,useful ,proportions on ! ,l9e ( ,numb]s1 by ,john ,br[n1 #affb7871 #af pages2 ,description & ,use ( ! ,triangul> ,quadrant1 by ,john ,br[n1 ,london1 #afga2 ,w+ate's ,rule ( ,proportion 9 ,ari?metick & ,geometry3 or ,gunt]'s ,l9e4 ,newly rectifi$ by ,mr4 ,br[n & ,mr4 ,atk9son1 ,tea*]s ( ! ,ma!maticks1 ,london1 #afhc2 ,! ,description & ,use ( ! ,c>p5t]'s-,rule3 ,toge!r ) ! ,use ( ! ,l9e ( ,numb]s commonly call'd ,gunt]'s-,l9e1 by ,john ,br[n1 ,london1 #agjd4 #ad,william ,leyb\rn1 op4 cit41 pp4 #abi1 #acj1 #acb1 #acc4 #ae;,james ,atk9son's edition ( ,&rew ,wakely's ,! ,m>9]s ,compass ,rectifi$1 ,london1 #afid ,wakely's preface dat$ #affd1 ,atk9son's preface1 #afic4 ,atk9son adds ,an ,app5dix conta9+ ,use ( ,in/rum5ts mo/ useful 9 ,navigation4 ,our quotation is f ?is ,app5dix1 p4 #aii4 #af,r4 ,delama91 ,! ,mak+1 ,description1 & ,use ( a small portable ,in/rum5t 4 4 4 call$ a ,horizontall ,quadrant1 etc41 ,london1 #afca4 #ag,oughtr$'s description ( 8 circul> slide rule ( #afcb & 8 rectil9e> slide rule ( #afcc1 z well z a draw+ ( ! circul> slide rule1 are reproduc$ 9 ,cajori's ,hi/ory ( ! ,slide ,rule1 ,add5da1 pp4 ii-vi4 #ah,! full title ( ! ,grammelogia ,i is z foll[s3 ,gramelogia or1 ,! ,ma!maticall ,r+4 ,%ew+ 7any reasonable ,capacity t ha? n ,ari?meticke7 h[ to resolve & worke all ord9>y op]ations ( ,ari?meticke4 ,& ^? :i* are mo/ difficult ) greate/ facilitie3 ,! extraction ( ,roots1 ! valuation ( ,leases1 c4 ,! measur+ ( ,pla9es & ,solids4 ,) ! resolution ( ,pla9e & ,sph]icall ,triangles4 ,& t onely by an ,ocul> ,inspection1 & a ,circul> ,motion4 ,naturae secreta tempus ap]it4 ,london pr9t$ by ,john ,havil&1 #afcj4 #ai;,grammelogia ,,iii is ! same z ,grammelogia ,i1 except = ! addition ( an app5dix1 entitl$3 ,de la ,ma9s ,app5dix ,vpon 8 ,ma!maticall ,r+4 ,attribuit nullo 7praescripto tempore7 vitae vsuram nobis +5iique ,deus4 ,london1 4 4 4 ,! next l9e or two ( ?is title-page :i* probably conta9$ ! date ( publication1 7 cut (f by ! b9d] 9 trimm+ ! edges ( ?is & sev]al o!r pamphlets = b9d+ into "o volume4 #bj;,grammelogia ,,iv has two title pages4 ,! fir/ is ,mirifica ,log>i?moru' ,projectio ,circul>is4 ,!re foll[s a diagram ( a circul> slide rule1 ) ! inscription )9 ! inn]mo/ r+3 ,nil ,f9is1 ,motvs1 ,circvlvs vllvs ,habet4 ,! second title page is z foll[s3 ,grammelogia ,or1 ! ,ma!maticall ,r+4 ,extract$ f ! ,log>y?mes1 & project$ ,circul>3 ,n[ publi%$ 9 ! inl>gem5t !re( unto any magnitude fit = use3 %ew+ any reason- able capacity t ha? n ,ari?meticke h[ to resolve & worke1 all ord9>y op]ations ( ,ari?meticke3 ,& ^? t are mo/ difficult ) greate/ facilitie1 ! extracti- on ( ,rootes1 ! valuation ( ,leases1 c4 ! measur+ ( ,pla9es & ,solids1 ) ! resolution ( ,pla9e & ,sph]icall ,triangles appli$ to ! ,practicall p>ts ( ,geometrie1 ,horologographie1 ,geographie ,=tification1 ,navigation1 ,a/ronomie1 c4 ,& t onely by an ocul> inspection1 & a ,circul> motion1 ,inv5t$ & fir/ publi%$1 by ,r4 ,delama91 ,tea*]1 & ,/ud5t ( ! ,ma!maticks4 ,naturae secreta tempus ap]it4 ,!re is no date4 ,!re foll[s ! diagram ( a second circul> slide rule1 ) ! inscription )9 ! inn]mo/ r+3 ,typus proiectionis ,annuli adaucti vt 9 ,conslusione ,lybri praelo commissi1 ,anno #afcj promisi4 ,!re are num]\s draw+s 9 ! ,grammelogia1 all ( :i*1 except+ ! draw+s ( slide rules on ! engrav$ title-pages ( ,grammelogia ,,iv & ,v1 7 pr9t$ ^u sep>ate pieces ( pap] & !n ins]t$ by h& into ! vacant spaces on ! pr9t$ pages res]v$ = !m4 ,"s draw+s are miss+1 s t ! ,bodleian ,grammelogia ,,iv diff]s 9 ?is respect slightly f ! copy 9 ! ,briti% ,museum & f ! ,briti% ,museum copy ( ,grammelogia ,v4 #ba;,epi/le1 p4 7#h74 #bb;,aubrey1 op4 cit41 ,vol4 ,,ii41 p4 #aaa4 #bc,rigaud1 ,correspond5ce ( ,sci5tific ,m5 dur+ ! #ag? ,c5tury1 ,vol4 ,i1 ,ox=d1 #ahda1 p4 #aa4 #bd;,diction>y ( ,national ,biography1 ,art4 8,delama91 ,ri*>d40 ,see also ,rev4 ,*>les ,j4 ,rob9son1 ,taylors' ,s*ool1 f ,a4,d4 #aefb to #ahgd1 ,vol4 ,i1 #ahhb1 p4 #aea2 ,j\rnal ( ! ,h\se ( ,commons1 ,vol4 ,,iv41 p4 #aig;b2 ,six? ,report ( ! ,royal ,commission on ,hi/orical ,manuscripts1 ,"p ,i1 ,report & ,app5dix1 ,london1 #ahgg4 ,9 ?is ,app5dix1 p4 #hb1 we read ! foll[+3 ,oct4 #bb #afde ,petition ( ,s>ah ,delama91 relict ( ,ri*>d ,delama94 ,petition]'s husb& 0 s]vant to ! ,k+1 & "o ( ,8 ,maje/y's eng9e]s = ! =tification ( ! k+dom1 & 8 tutor 9 ma!matical arts2 b ^u ! break+ out ( ! w> he des]t$ ! ,c\rt1 & 0 call$ by ! ,/ate to sev]al employm5ts1 9 =tify+ ! t[ns ( ,nor?ampton1 ,newport1 & ,ab+don2 & 0 also abroad ) ! armies z ,qu>t]ma/]-,g5]al ( ! ,foot1 & !re9 di$4 ,petition] is left a disconsolate wid[ ) t5 *ildr51 ! f\r lea/ ( :om are n[ afflict$ ) sickness1 & petition] has no?+ left to support !m4 ,!re are sev]al consid]able sums ( money due to ! petition]1 z well f ! ,k+ z ! ,/ate4 ,prays t %e may h "s relief among/ o!r wid[s4 ,see ,l4 ,j41 ,,vii4 #f4 #feg4 #be;,an?ony ,wood1 ,a!nae ,oxoni5ses 7,edition ,bliss7 ,vol4 ,,iv41 ,london1 #ahbj1 p4 #cd4 #bf,! ,new ,artificial ,gaug+ ,l9e or ,rod3 toge!r ) rules conc]n+ ! use !re(3 ,inv5t$ & writt5 by ,,william ,,oughtr$1 etc41 ,london1 #afcc4 ,! copy we h se5 is 9 ! ,bodleian ,libr>y1 ,ox=d4 ,! book is small siz$ & has #dj pages4 #bg,oughtr$1 op4 cit41 p4 #aa4 #bh,s4 ,j4 ,rigaud1 ,correspond5ce ( ,sci5tific ,m5 ( ! #ag? ,c5tury1 ,ox=d1 ,vol4 ,i1 #ahda1 p4 #ag4 #bi,rigaud1 loc4 cit41 p4 #bb4 #cj,rigaud1 loc4 cit41 pp4 #cj1 #ca4 #ca,oughtr$1 ,an ,addition vnto ! ,vse ( ! ,in/rum5t call$ ! ,circles ( ,proportion1 ,london1 #afcc1 p4 #fc4 #cb;,f4 ,cajori1 ,hi/ory ( ! ,slide ,rule1 ,new ,york1 #aiji1 pp4 #af-bb1 ,add5da1 pp4 vi-ix4 #cc,w4 ,leyb\rn1 op4 cit41 #afgc1 ,preface1 & pp4 #abh-bi4 #cd;,cajori op4 cit41 ,add5da1 p4 ix4 #ce,william ,leyb\rn1 op4 cit41 #afgc1 p4 #ce4 #cf,see ,cajori1 op4 cit41 pp4 #bj1 #bh1 ,add5da1 p4 ix4 #cg,see ,f4 ,cajori1 8,a ,note on ! ,hi/ory ( ! ,slide ,rule10 ,biblio!ca ma!matica1 #c ,f41 ,vol4 #aj1 pp4 #afa-afc4 #ch;,john ,atk9son1 op4 cit41 #afid1 p4 #bjd4 #ci,probably ! olde/ slide rule n[ 9 exi/5ce is own$ by ,/4 ,john's ,college1 ,ox=d1 & is 9 ! =m ( a brass disc1 #a ft4 #f 94 9 diamet]4 ,x 0 exhibit$ along ) o!r in/rum5ts 9 ,may1 #aiai4 ,accord+ to ! ,catalogue ( a ,loan ,exhibition ( ,e>ly ,sci5tific ,in/rum5ts 9 ,ox=d1 op5$ ,may #af1 #aiai1 ! in/rum5t is inscrib$ ) ! "n ( ! mak] 78,elias ,all5 fecit07 & ) ! "n ( ! donor1 ,georgius ,b>kham4 ,x is dat$ #afce1 :i* is only ?ree ye>s aft] ! fir/ publication ( ,oughtr$'s description ( 8 circul> slide rule4 ,x is /at$ 9 ! ,catalogue3 8,un=tunately all ! movable p>ts b ! base-plate & a c\ple ( ?umb-screws are miss+4 ,! face ( ! in/rum5t is engrav$ ) ,oughtr$'s ,horizontal ,in/rum5t4 ,! back is engrav$ ) elev5 ,circles ( ,proportion z describ$ 9 ,ar?ur ,haughton's book1 a copy ( :i* 0 pres5t$ to ,/4 ,john's ,college by ,george ,b>kham1 to expla9 ! use ( ! in/rum5t40 ,z ,ar?ur ,haughton's ,ox=d edition ( ,oughtr$'s ,circles ( ,proportion did n appe> until #affj1 x w\ld seem t ! in/rum5t 0 probably n pres5t$ to ! ,college be=e #affj4 ,z f> z is kn[n1 ! next olde/ slide rule is ( ! ye> #afed1 kept 9 ! ,s\? ,k5s+ton ,museum1 ,london1 & is describ$ 9 ,nature ( ,m>* #e1 #aiad4 ,x is a rectil9e> rule1 8( boxwood1 well made1 & b\nd toge!r ) brass at ! two ends4 ,x is ( ! squ>e type1 a little m ?an #b ft4 9 l5g?1 & be>s ! log>i?mic l9es fir/ describ$ by ,edmund ,gunt]4 ,( ^!1 ! num1 s9 & tan l9es are arrang$ 9 pairs1 id5tical & contigu\s1 "o l9e 9 ea* pair be+ on ! fix$ "p1 & ! o!r on ! slide40 ,! in/rum5t is inscrib$1 8,made by ,rob]t ,bissak] = ,t4 ,w41 #afed40 ,n[h]e else h we se5 ref]5ce to ,rob]t ,bissak]4 ,8 slide rule seems to ant$ate ! 8,:ites rule0 m5tion$ above4 ,?is foot-note 0 add$ on ,octob] #ae1 #aiai4 ,,univ]sity ,,( ,,cali=nia ,,publications ,note4--,! ,univ]sity ( ,cali=nia ,publications are (f]$ 9 ex*ange = ! publication ( le>n$ societies & in/itutions1 univ]sities & libr>ies4 ,complete li/s ( all ! publications ( ! ,univ]sity w be s5t ^u reque/4 ,= sample copies1 li/s ( publications or o!r in=mation1 address ! ,manag] ( ! ,univ]sity ( ,cali=nia ,press1 ,b]keley1 ,cali=nia1 ,u4 ,s4 ,a4 ,all matt] s5t 9 ex*ange %\ld be address$ to ,! ,ex*ange ,dep>tm5t1 ,univ]sity ,libr>y1 ,b]keley1 ,cali=nia1 ,u4 ,s4 ,a4 ,,ma!matics4--,mell5 ,w4 ,haskell1 ,editor4 ,price p] volume1 #e4jj4 ,cit$ z ,univ4 ,calif4 ,publ4 ,ma?4 ,vol4 #a4 #a4 ,on ,numb]s :i* ,conta9 no ,factors ( ! ,=m p7kp#a71 by ,h5ry ,w4 ,/ag]4 ,pp4 #a-bf4 ,may1 #aiab #j4ej #b4 ,con/ructive ,!ory ( ! ,unicursal ,plane ,qu>tic by ,syn!tic ,me?ods1 by ,annie ,dale ,biddle4 ,pp4 #bg-ed1 #ca text-figures4 ,septemb]1 #aiab 4#ej #c4 ,a ,discussion by ,syn!tic ,me?ods ( ,two ,projective ,p5cils ( ,conics1 by ,baldw9 ,mung] ,woods4 ,pp4 #ee-he4 ,febru>y1 #aiac 4#ej #d4 ,a ,complete ,set ( ,po/ulates = ! ,logic ( ,classes ,express$ 9 ,t]ms ( ! ,op]ation 8,exception01 & a ,pro( ( ! ,indep5d5ce ( a ,set ( ,po/ulates due to ,del ,r1 by ,b4 ,a4 ,b]n/e94 ,pp4 #hg-if4 ,may1 #aiad 4#aj #e4 ,on a ,tabulation ( ,r$uc$ ,b9>y ,quadratic ,=ms ( a ,negative ,det]m9ant1 by ,h>ry ,n4 ,wright4 ,pp4 #ig-aad4 ,june1 #aiad 4#bj #f4 ,! ,abelian ,equations ( ! ,t5? ,degree ,irr$ucible 9 a ,giv5 ,doma9 ( ,rationality1 by ,*>les ,g4 ,p4 ,kus*ke4 ,pp4 #aae-afb4 ,june1 #aiad 4#ej #g4 ,abridg$ ,tables ( ,hyp]bolic ,functions1 by ,f4 ,e4 ,p]not4 ,pp4 #afc-afi4 ,febru>y1 #aiae 4#aj #h4 ,a ,li/ ( ,oughtr$'s ,ma!matical ,symbols1 ) ,hi/orical ,notes1 by ,florian ,cajori4 ,pp4 #aga-ahf4 ,febru>y1 #aibj 4#be #i4 ,on ! ,hi/ory ( ,gunt]'s ,scale & ! ,slide ,rule dur+ ! ,sev5te5? ,c5tury1 by ,florian ,cajori4 ,pp4 #ahg-bji4 ,febru>y1 #aibj 4#ce #aj4 ,on a ,birational ,trans=mation ,connect$ ) a ,p5cil ( ,cubics1 by ,ar?ur ,rob9son ,williams4 ,pp4 #baa-bbb4 ,febru>y1 #aibj 4#ae #aa4 ,classification ( ,involutory ,cubic ,space ,trans=mations1 by ,frank ,ray ,morris4 ,pp4 #bbc-bdj4 ,febru>y1 #aibj 4#be ,,agricultural ,,sci5ces4--,*>les ,b4 ,lipman1 ,erne/ ,b4 ,babcock1 & ,john ,w4 ,gilmore1 ,editors4 ,price p] volume1 #e4jj4 ,volumes ,i & ,,iii complet$4 ,volumes ,,ii & ,,iv 9 progress4 ,,am]ican ,,ar*aeology ,,& ,,e?nology4--,alfr$ ,l4 ,kroeb]1 ,editor4 ,volumes ,i-,,xii complet$4 ,volumes ,,xiii to ,,xvi 9 progress4 ,,a/ronomy4--,william ,w4 ,campbell1 ,director ( ! ,lick ,obs]vatory1 ,editor4 ,publications ( ! ,lick ,obs]vatory 7,qu>to74 ,volumes ,i-,,xiii complet$4 ,price p] volume1 #c4jj 7,volume ,,vii1 #d4jj2 ,volume ,,viii1 #e4jj2 ,volume ,,ix1 #b4be2 ,volume ,,xiii1 #j4jj74 ,volumes ,i & ,,iii are out ( pr9t4 ,lick ,obs]vatory ,bullet9s 7,qu>to74 ,volumes ,i-,,ix complet$4 ,volume ,x curr5t4 ,price1 #b4ej p] volume 9 advance4 ,volume ,i is out ( pr9t4 ,,botany4--,w4 ,a4 ,set*ell1 ,editor4 ,volumes ,i-,,iv complet$4 ,volumes ,v to ,,vii 9 progress4 ,,classical ,,philology4--,william ,a4 ,m]rill1 ,h]b]t ,c4 ,nutt+1 ,james ,t4 ,all51 ,editors4 ,price p] volume1 #b4ej4 ,volumes ,i to ,,iv1 ,,vi & ,,vii1 complet$4 ,volume ,v 9 progress4 ,,economics4--,volumes ,i 7#e4jj71 ,,ii 7#d4jj71 & ,,iii 7#c4ej7 complet$4 ,volume ,,iv 9 progress4 ,,education4--,volumes ,i 7#c4ej71 ,,iii 7#c4ej71 & ,,iv 7#b4ej7 complet$4 ,volumes ,,ii & ,v 9 progress4 ,,eng9e]+4--,*>les ,d]le?1 ,jr41 ,editor4 ,volumes ,i & ,,ii 9 progress4 ,,geography4--,r4 ,s4 ,holway1 ,editor4 ,price p] volume1 #e4jj4 ,volume ,i complet$4 ,volume ,,ii 9 progress4 ,,geology4--,&rew ,c4 ,lawson & ,john ,c4 ,m]riam1 ,editors4 ,price p] volume1 #c4ej4 ,volumes ,i-,,vii complet$4 ,volume ,,viii 9 progress4 ,,hi/ory4--,h5ry ,morse ,/eph5s1 ,editor4 ,volume ,i complet$4 ,volumes ,,ii & ,,iii 9 progress4 ,,mod]n ,,philology4--,*>les ,m4 ,gayley1 ,hugo ,k4 ,s*ill+1 & ,rudolph ,s*evill1 ,editors4 ,volumes ,i to ,,vii complet$4 ,volumes ,,viii & ,,ix 9 progress4 ,,pa?ology4--,fr$]ick ,p4 ,gay1 ,editor4 ,price p] volume1 #b4ej4 ,volumes ,i & ,,ii complet$4 ,,philosophy4--,george ,h4 ,h[ison1 ,editor4 ,price p] volume1 #b4jj4 ,volume ,i complet$4 ,volume ,,ii 9 progress4 ,,physiology4--,s4 ,s4 ,maxwell1 ,editor4 ,price p] volume1 #b4jj4 ,volumes ,i-,,iv complet$4 ,volume ,v 9 progress4 ,,psy*ology4--,george ,m4 ,/ratton1 ,editor4 ,price p] volume1 #c4ej4 ,volumes ,i & ,,ii complet$4 ,volume ,,iii 9 progress4 ,,semitic ,,philology4--,william ,popp]1 ,editor4 ,price p] volume1 #d4ej4 ,,zoology4--,william ,e4 ,ritt] & ,*>les ,a4 ,k(oid1 ,editors4 ,volumes ,i-,,xvii complet$4 ,price p] volume = fir/ t5 volumes1 #c4ej4 ,price = ,volume ,,xi & subsequ5t volumes #e4jj4 ,volumes ,,xviii to ,,xxi 9 progress4 ,,memoirs ,,( ,,! ,,univ]sity ,,( ,,cali=nia 7,qu>to74 ,john ,c4 ,m]riam1 ,editor4 ,volume ,i 79 progress74 #a4 ,triassic ,i*?yosauria1 ) ,special ,ref]5ce to ! ,am]ican ,=ms1 by ,john ,c4 ,m]riam4 ,septemb]1 #aijh #c4jj #b4 ,! ,fauna ( ,ran*o ,la ,brea1 by ,john ,c4 ,m]riam4 ,"p ,i1 ,occurr5ce 4#cj ,"p ,,ii1 ,canidae 4#hj ,volume ,,ii4 ,! ,silva ( ,cali=nia1 by ,willis ,l9n ,jepson4 #aiji #e4jj2 clo?1 #g4ej ,volume ,,iii4 ,bus9ess ,cycles1 by ,wesley ,c4 ,mit*ell4 #aiac #e4jj2 clo?1 #g4ej ,volume ,,iv4 #a4 ,! ,battle ( ! ,sev5 ,arts1 by ,l\is ,j4 ,paet[4 ,july1 #aiad 4#ge ,,univ]sity ,,( ,,cali=nia ,,*ronicle4--,an (ficial record ( ,univ]sity life1 issu$ qu>t]ly4 ,george ,m4 ,calh\n1 ,editor4 ,price1 #a4jj p] ye>4 ,curr5t1 ,volume ,,xxii4 ,transcrib]'s ,notes --,ins]t$ sub*apt] head+s f ! ,table ( ,cont5ts into ! text4 --,correct$ two page numb]s 9 ! ,table ( ,cont5ts --,correct$ a ,greek quotation 9 footnote #f by ref]5ce to ! orig9al s\rces4