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Show N A M cerqurum pcrpolos, horas émcridic tcr1ninirium,pinna dum fecanr horologij cuiufpiam planumfaciunt fingula {efficncs fingiilas, ‘1‘"? {unt rafts: linen: horarim vocatx homrum 31 mcridic cxorfhrum rcrmmnrriccs : dc quarum numero CR meridians. linca , quam meridinnus {ccando fici r. Circulogz vcro ranqcnrium plan‘s, qui ab occnfu'vcl orru difccrnunt horas , dum fccantircm quodpinm Eogflrrrcndi horologl) Planum fingulas Scipio fingula generrnr m _c iombus reé‘ras norarnm ab occafu quoquc vcl orru inchoararum li'ldlCCS: Vcrum licur Circuli per polos fupcr axe mundi {cinuiccm fcantelm 5: 1?:ng 1}s horarxa' lineal: in vno Icviciffim Funfto interLcanr: 9&0‘1 liners horarys ducfltu tangentium circulorum £1865 non f'og‘tmgltf: firirtnoqLICIP 1 tangentcs Circuh' communcm rcchm pro cs. IODC oitiuntm . @cmadmodum Itaquem fingulis horologijs, pro [itu cumshbot Iocx , tales liners gensrcnrur , tradcmus , abfoluns Prius prammbuhs quibufdam . hum"; P11? 11'irrcungs " duo Ilemmatinqu ~orum primum ‘ ' 81' duo plana {e cm: {5&0 c an 1 aggro . z quodam Blnno lccenrur, (3&3: i temo ' plano 1 ncs quz rc . max fungfc VlClflim [ccnnrNt {1 duo plana a b c. &Cdc~ PRIMVS. _ ‘ .‘Lfli ant {De "mam": proieflionefill/1%, .- (21p. 3. LIBER 16.7 .H . é‘fifccenmr : Aio, quod feé‘tioncs, quas £1citpla‘num e Ecum" Planis a b ac d aqum'fim'r refine liners Pct tertii vndec‘iinifc,‘ vicimm fecanr.Nam planuin c Efccnns duo plana a b c.c d c.. / omnino {ccabitcorum communcm {c&ioneln b c. Sccetin Punéro d. iraque punérum d.c0mmrine-erit his tribus planis folumzomnino igitur pcrd.pun€him tranfiblint facile per tcrnum planum fefiiones cum duobus planisprimis , qua: Em C d. a f. rcflce 2 {ccanr (cimqucin punflo . Similircr dc‘ tribus nut pluribus planis. offendemus‘.‘ Altcrum- lemma crit, {i tria , vcl plum plum {c inuiccm {upon cadcmrcéta. ‘ {ccenr : quorum vni PI'anum quarrum xquidifi'ct , rcliquamz. ..,.. 6: c d cfcccnr {c inuicem {upcr reétam b aqua: a tcrtio plano 'A 166 DE LINEYS HORARIIS nanr. Circuius b F0 hd 11. per polos horam {cxmm antc meridianani 8: poftmcridianam dctcrminar. Er circulus e b m d. tangcns diétos arallclos in punéh's c m. in quibus eodem {scat meridianus Ifc m. Eoram duodccimam ante vcl poflorrum vcl occafum. Sbmicirculus {cilicct m d c. duodecimam ante, th Poff 01mm : ac femicirculus rciiquus c b m. duodccimam ante vcl pofl: occafirm . Similirer femicirculus n :1 Etcrminar fexmm ab orru . Rcliquus verc‘) {emicirculus fc hfcxram ab occafultcnujuc fcmicirculus 1c h.l%xt;1m ante ortum. Er rcfiduus {cmicirculos h a lfcxmm antc occafum.Duraa crediderim homincm CHE ccruicis , qui Cum prius {phmrica Clements. didicerit: hxcnoflm dido cirius non perpendar. Vides ergo qucmadmodum circuli tangcnrc-s {c inuicem cancel arum inrcriccnnt {upc-r circulos fecanrcs? Er Ii cui libcar dii‘tingucrc hornrum dimidia ; rurfiim arcus finguli tam xquaroris quim Parnllclorum per xqmlia {unt diui< dcnda, & duphcandus numerus ram {ccnnrium quim tangmtium circulorum: Et adhuc ad dii'cingucndos horarum qmdruntcs,rurlnm arcus dimidiarum horarum diuidcndi biEtriam , <36 rurfum Circulogz vrriufqu: ordinis numcrus duplicandus. Hinc pcndct rota lincamm horariarum 8: horologiorum Solarium dofirina . » feccr : Elfin: 51 quarto plane fcétioncs eruntrequidifianrcs. Vt: ' ' {i run plana a b c.b c d.b c c. communcm {cflioncm habcant reétam b c.PI:1num me) quarrum Fg. zequidifict vni illorumx Ytporc piano b c c.1Ecerc'1i1c rcliqua a b c.b c d. {in tc'luc Com; muncs {cé‘tiones {mg‘dd‘céh‘cm Aio,qliédfa..g dfunt sequidifinnrcs. Nam, cum plianum ab c.,fec:t plana. b c c.fg.i1m per :65. l 1"".c6muncs comm {Esékiones a Eb quuidifiantcscrunr: 8: per eunddn gdLazquidiflabir ipfi b c.. Igirur per 9.ciufdem libellinfir :1 Ed g..a~.quidifinnres crunr, qnod fuit dcmonfh‘andum. Similircr, fi fucrinr qrmtuor plarm & {upcr‘ Vnam reé‘tnm {c inuiccm Ibcantin, 8c. quinrum: plhnum vni illorum :rqn-idif'c'nns rcliqna tria, fecusrir; mas in ijs {3&1 {caiones erunt xquidiftnnrcs . Non a‘litcr fi'quinquelylanis, communcm rcétam pro (efiionc fortirisfilpcrucniat exrum' vnizquidiflans & camera {ecans : quaruor {céh'oncs xqui-r diflnnrcs Heanlod fi fub diéra conditionc {ex planis {spri- mum inciucarur, quinquc feitioncs :equidiflanrcs in {aptimo‘ apparebunr : Itaquc in.infinituxn.. His prreinims,1ciendu\in,, quod qucmndmodum circuli hornrij mm {CCflntCS., quzim intrigcntesgatque ccqua rot & parallcli {e inuiccm canccllatm} {scant -, im Scab iliis £18m: horariz lincx in piano horologlj' mutuns etiam inter {c faciunr féélioncs: 8c interdum aliquas :rquidiflanrias ,,vt mox conf‘tnbir .. Comcaz ver‘o {uperficics, qunrumbafcsifimt parall'clitrquatoris, vcrtices aurem in» centro mundi gdum {ccantur :‘1 plano horologil , facmnr m' ipfo piano curuas qmlliam lincas:, qua: fun: comca: {dihe- nr‘sfiu quinqu-c cirCulos. (loos nurem parallelos lecatcu'culi horari‘i , eorundum comns fcétiones in horologij plano: £16335 {ccant horariz: tahum Circ'ulorum lintx . Q1395 Ctlamr' L 4. Paraflclos‘.‘ " mm |