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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 43, page id 824573315:0063
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.86
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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E A L. L 20
ex semicireali.
PuS ContaCtISNON. guanEuS. Ouod erac oBenden lum.
3 Cmonium magnicudo ansulicam externi R, quem in-
cerni ejusre Tenrittis C A L, X simanca SIE CX BUIMErO LAFETEIRE,
(aEoRenlum cA) adcoq; Reurx regulaces eundem lacerum pu-
merum habences habeane cciam ejulmoci angulos aquales: (I
concixiatur circusus ut Polygonu inAIDiEOTRMI LCFETUMI, COM-
cipienda Cune intinica latera unius circuli coc quoc infinira illa
lacera alcerius circuli (secus enim non ellent circuli Reura B-
miles) e conlequenter crumt eam anguli concactis aquales
quam ansuli lemicirculorum; (quod lupra atiis arGUENEIS
concendimus:) Unde lequetur, Angulos concactiis esse nOm-
quanccs. uc suxea eciam ostentum eR.
4 Idem alicer sic Facebic. Si a cenero Polysoni repularis
vel, quod idem cA circuli circum Fcripei) duestur recta ad
Polygoni perimecium duosucrinq: angulos aeguales Faciens, e
ric illa vel laceci perpendicularis, _ C. L, vel ad RgurR EneU
lum dueta nE C A; (nam, licubi alias ducarur, maniseRum
ettaneulon obliquos ticri, _ inaquales.) Manifectum eciam cl,
differencium rectarum C A, C L, TemDEF M IBOI, PTONC NUME-
rus lacerum avgecur, ulq; dum eandem in Polygono infinice
rum lacerum, sive Circulo, c vel intinice parvo vel nulla: led
hoc obirer. Supponamus jam, ut prius, pro circulo Polygo-
num intinitorum lacerum: Ononiam aurem raclius cum peri.
Pheria anculos Facic aequales, (ut manilestum cA) concipiem-
dus cA vet uc recto C L. (2d medium laceris) vel uc C A (a8
angulum:) siprius supponatcur; erunc anguli rectis (nam recta
acencro ad medium laceris Polrgoni resularis ensulos rectos
Facic:) Si Pokerius; lalcem (cum omnes ractii linEae quales, au
acoq; C A, C. L, 291ales) erune ansuli C A L, C, L. A, 2-
quales per SCZ; id CO9: _ utergue 1CAU: C AnpuluCZMTe
At CL nullus crie, scd ipta crura AC, L C, Coincidenc. ) I-
crumris isicur supponatur, eric angulus Cemicirculi recto re-
eilineoxqualis; e propierea anguus concactus elE non. Guan-
C18. Ouoderac dementerandum.
50 Subungan huic argun eneo eriam hanc speculacionem
non ablimilis naturX. Si ongutuS CONEACHIS FAP HC VerC AII
sulus; runc _ reliduus ad duosrectos erie vere anerslurs, ucM.
DE E A P, vel P A N, qui coninecurrcC a candeme e Pes ip C
eta Eemicirculi rem OcIOTIS, PUca T A 8L A F, vet P A EE AN.