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Show DE LINEIS HORARIIS Co R OLL. Hinc fequitur ex prima fexti, quid ordimrac rum potentirc funt rcceptis ad verticcm dinmcrris wro- portiomlcs : hoc elbficut D. f d--[j. g m. fic c d--d h. quod in 7. o‘ Primi oflcndit Apollonius . He: autcm i‘cé‘tm diamcti'o pa ‘nlfiolcs inucnrio tff nulm lb.- cilior & breuior dcmonilratu , quiun ca (111:: poniuu‘ in 1 1a primi canicorum . R E G V L A 2" . Proponatur & in plane parabola. {g €.circa transvcrfim diametrum ed. Scorilinatzim Fd. _ Ell: aurcm ordinate , quam diameter vtrinque pcrif.riae : - applicamm pct medium parritur. Volo eius rcéhm diamctmminuenirc: facinm par 45 Regulam fexticap. in prasmitlb lib. iplis c d. (l f Ecrriam proportiorulcm c h. Sic cnim f d. ordinata poterir End cue h. & pctindc c' h.. omnino [6&1 dinmctcr cl}, qux qua‘riiur. R l: G V L A 3" . (fled 1i data [it parakolm Fgc. fl'u Circuli , {Eu cuiuflibet aqurius comics: {Eclionis ngll‘Cl'la nudn fine centro ac diamstris : & vclim aliquam in ca. (lumen-um inus'nii'c; ducam in mli lbétioné dlms (8‘ " 1mm». , ' (V‘ n , ‘ l‘Fv-{R TERTIVSJ' 267 Polliim dclincareperifcriam : vr cxcmpli gratin , 1i: rcCta dialnctfos aiabolz a b.Axis verb, {cu diai‘ncn‘os a c.'vclo circa diametmm a c. fincarc parabolcn , cuius rcC‘mdmmcrrcs lit a b. Ponnm in reél'am vmm VHunquc c :m b. & fails. a c. per fextum cap. Pi'azmifli libri , in aliquot xquas portioncs , vrputa quatuor in punc‘ti d c f. dcfcribam {upcr b c. b d. 13 f. diall'lGtros fingulas fingulos {cmicirculos b m c. b m d. b 0 ml) p E Dcindc h punfio .1. excitabo 21d rcélos ipli b clincam .1 mfccans PLL‘Hrias in pumfl'is m n o p.111 axe autcm {cu diametro parabolx :1 c. Vt di- étum cfldiuifa in punflis C] e fiducam ordina‘ms lc.ipfi a mmzqunlcm d kipfi a n. zrqualemzc h. ipfi a 0.:rqualcm. & (g. ipfi a p. mqualcm ; lingulas acl aliam partem quidilhntcs [CC-L18. Vtrinquc pu‘if‘crim applicr ms F0. g n. guns lingulas per a‘qualxl lL‘Cnlyo in punélis d m. E: vlti'a diametrum a c. tantundcm pi'oduchs. Nam dellncanda peril-e- agani pct" ca. punt‘m frthm d m c. iplh namquc Cl‘it mcrrum. Qirt' pum‘la 01113) plum fuci‘inffib ccrtius dclineabo Per ('1 (luétiln‘) perifcriam leni flcxu C\' angulo‘lu: frziéhirx cxpcrtc‘m . Cuius operationis dcmonllzmtio elkqubd in lClnlCll‘CullSJt‘él‘x :1 m. a n.a o. ti'nnlvulh di-imctcr {cé‘tionis : & ad c-am ordinam: {um 'fi‘ LIBER R E G V L A 5". Ex datis dcniqu: pamboles diametris dunraxar ipl'éc g n. f0. & omncs alir illis xquidx‘itanu-s. 8c l‘HEC CR 44" fecundi conicorum ' R E G V L A 4" . Data: 86 parcholc ff; 6. V070 c‘us _ axcm- defcribcre. Inueniam per pracedentem Rigulam aliquam cius diametrum , qurt fit ed. diuidens per medium m‘dinamm Fd 0. Si imque diamctcr c‘ d. ail nit": angulos {ecu ordinamm. f d o.iam per diflinitioncm, axis til: 6 d. Secus verb pcrpumfltum d. again ipfi c d. Pctpcndicularcm g d n. vrrinquc Perifcrixiapplicamm, camquc per xqua diuidam in punéto m. iplujuc pcrpcndicularcm cxcimbo m p. qur: perdiffcrcntiam exit :ms parabolr. &l182C(‘fi'Pl‘OPolitl0 quadragclimalkxta fecundi conicorum . C o R o L L A R l v M. Vndc paragquéd axis &omnes dianutri Pflfill‘olfif fimr xquidiflnnres , ficur 0 :‘L‘ndilul‘ in Qllmll‘z‘gc‘lllndlilxta Rrimi conicorum. Er Pcrindc , {01:1 parabola inter flcxarum (packs, cam: csntro .. REGVLA riaparabolm ibir Per 3 g h k Human 86 corum correlating vltima dia- a p.fi'ngulcc pom"): {ingula 1'céhmgula,qum pulh'mt filigiilm oi‘dimta: c Ld k.evhfg.in parabola,quibus lunt :rqualcs firiglilcg lingulis. C0 ROL L. Viide manifcftum cl} , qubd m dclincnrionc parabolm femicirculi, ex quibus ordinant cliciuncurAblE contingunt npud cx~ cranium rcc‘la'. diamcu‘i. Habcs itaqucfic hunc modum lincandi parubolen in horologijs. 736 Ellipflo: gimme/fr?! 57127764270770. Calm! 2 . V o autcm paé‘to conica {CG-i0 , qua: Vocaiuf Ellipfis , fiaLin conu.lic accipc. El‘to, licutin }.i'a:ccdengi, conu; :1 b c. cuius bafis a‘c. mex ha"! pct mam-.1 b c. Ducatur 1mg vmguc laterum A" coinciduns c ("Mine rcfla c q.ipfi, c a.pcrpcpd1cular§ : Mox pla- num,in quo c d qfccct conum : critquc per 13" {ccundi comcorum, fa(5h ' ‘ilHIl |