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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)
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PrOP. 182.
arithmetica Insinitorum.
Eire circum (eripta) non aurem iltius cui adscribitur; aC verc
Terie intinica perinde est sire hujus sire illius incellisaneur, prop.
ter differentis infinice exisuam, adcoq; cranelcencem sive nul-
lam. Nam ∞, ∞0 + F, ∞ = 1, Perinde sunc. Ec quemadmodu
ubi polygonum infinicorum lacerum, pro circulo habetur, Per-
inde cA sire inscripcum sire circum (eripeum incelligatur, (hoc
ell, live surponatur circuli raius aequalis rectae quXe a CenErO
adangulos, sirc illi qux a centro ad medium lateris ducitur,
quarum difterentia, proprer lacera numero infinita, est infinice
exisa:) sic in ad(criptionibus nottris perinde eAt (propter
differenciam intinice parram) an inscripea an circum seripex
alcitudo auc balis lumatur pro vera. Ec quidem uc in polyeo.
nointinitorum lacerum inseripio _ circumleripto, lacera lup.
ponuncur inricem aequalia, hoc cM, eju ldem arcus Finus rectus
ecangens equales tam invicem quam ipsi arcui; ica e hicH
curxe ex parallelogrammis inscripea _ circumlcripia cam ba-
les quam alcicudines supponenda lune aquales tam incer le
quam illius cui adscribuntur; hoc est, s accurare loqui li-
bcac, non nisi intinice exigua lui parce differre.
Eodem modo, in Rg. prop. 5. Figura ex similibus lectoribus
Epirali inscripea, E lectorum numerus sic Ainicus, eric series tinita,
cujus cerminus primus clo, ulcimus rero sectorum inscripeo
rum ulcimus (cujus radius est una parce minor, quam ulcimi
circum (cripeorum, ) omniumq: horum sectorum arcus simul
lumpei, aequancur lemissi arcus circuli concermini nempe qui cst
Aixurae ex lectoribus conslatae coterminus, non qui cocerminus eA
verae (pirali; ac si numerus sectorum spronc ibi supponitur) (uppo
nacur intinicus, erunc adhuc omniu sectorum arcus simul Cumpit,
aequales lemisti arcus circuli contermini, nempe concermini f
curae ex his intinicis scetoribus consarxe, qui camen vel ille iple
eH cum conermino verae lpirali, vel ipio talcem inhinice- ex
Dua Cuh parre Choc cH, mihilo,) minor. Si veropro lectoribus
inCeripeis sumancur circumleripeis orcus circuli concerminierie
una lui parre ausendus (live finica sive intinita, PrO nuMerO
leccorum) ut ipsius lemiltis aqualis habearur omnitus scco-
rum arcubus simul sumpris, adeoq: supponendus cA incexille
uno eradtu ance inicium verae Epiralis, vc primiscecoris arcus
nic o: nam in asichmmetice proporcionslibus, nisi primus ter-
minus c o, agxregacum omnium non etit aequale lemissi ul-
EdI