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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 25, page id 824573315:0045
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CAP. 1.
ex semicirenli.
Beo;) irrationalem tamen esse hanc rarionem existimae, nec re
ris numeris explicabilem. Sed ee aftirmat, ansulum conractice
verum anguli quancicacem habere, camq; quancicarem calem
esse quae mulciplicata quancicarem ansuli rectilimei Coperare vo-
cerit; non quidem manence angulo concactiis, scd mutato an-
sulo concactus in rectilincums eodem lcilicee modo quo angu-
lus rectilincus acucus ita mulciplicari pocest, ac (mucara ca
men specic anguli) rectum luverare BoliE: LC, quo sensu a
cucus rectilineus est minor omne recto vel obculo poltibile, eo
dem (nec alio) e angulum concactis esse minorem omni a-
cuco poltibilis Dosse camen (muraca anguli specie) malciplica-
cum acuro rectilineo majorem feri, licur de acurus rectilincus
(muraca specic ansuli) mulciplicaeus eradie rectomajor, aue
ctiam obculo, Ac haec quomodo cumiis, qua ab Euelide de-
monstrantur ad 16c3, constare poterune, ipse viderie.
Verum E canci illud esse pucet ret Flultas, vel quilxiam alius,
et non modo ostendantur hae magnicudines (li Talcem utrags
sic rere magnitudo) inaequales, Sed d in cerra aliqua ratione ina-
quales, Calcem rel racionali vel icrationali; P8o hoc Facile pro-
bacurus Cum sequenei argumenco.
30 Ipicur, dimiccamus aliquancilper ansulum contoctiie F. AP, d
cractemus angulum semicirculi: F A, inqua, ansulus semicirculi
 A C. non modo alicui angulo rectilinco inagnalis, led de in cer-
ta aliqua ratione inxqualis; ealem salcem rationem habec, qua-
e rule Fuclides in 5d5: PorcA enim, Calcens mulciplicacus
ulgcidu