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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 45, page id 824573315:0065
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# Lines: 35 recognised, mean confidence 0.90
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L +L 2 130
 semicirculi.
102 Cie a slacs ie Ecerant tius iamc Lacus e a
1os quos illa recta a centro ad peripheriam tacie, rectos cse e
rectis rectilineis aquales. Quod erac oltendendum.
C A P. XIII.
Areumenum quineum: en proportione ev anescente, deductum.
Equicur aliud argumentum. Cui hoc Temma praeponen-
adum eA; (Si duae guantrcares simul proportionaler vel creseunt vel.
decrescunt; ubi earum una redueta est ad nihilum seu non-quantum, etiam
e religua ad nihilum seu non-gantum reduCitur.
Exsemplum hoc cAo. Recta AB, AC, angulum A aF-
cunq. FacianE; ipHg; A B
ubiris insictac B C angulum
ABC rectum taciens (vel,
 libec, alium ad libirum.)
Jam si Cupponacur BC re-
cta, Cuper rectam AB mo-
veri invariaco angulo ABC;
Pront punctum B remocins
vel provius distac a puncto
A. in eadem ratione recca
BC degeeur vel minuieur,
per 4c 6. Ogoniam isieur
AB. AB:: BC. BC proporcionales Cine, ubicunq; tumatur
ponctum B; li, inquam, punctum B Cumaur idera quod R,
2deoq; distancia A B nulla lic, (proxrer coincidenciam pun-
ctorum A, B,, cciam e lonsitudo linex BC nulla cric. Ouoc,
si opus est, probari poreric ex 16c6. FC quidem licet alibia-
lix sicrario rectae AB ad BC quam ad Bg, camen ( B astigne-
cur in ipto A, cam B C quam B similicer in punctum dese.
ReTanE.
Exlemplum aliud hoc etto. Ovoniam. si recta C B, manente
cenero C, circumvolratur; angulus BC B. & peripheria
BI