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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 16, page id 824573315:0036
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# Lines: 42 recognised, mean confidence 0.92
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De angulo contactus.
CAD. 8.
Imo rero in angulis mistis illud eciam verum est, non modo
Ead curvilineos, verim ctso
am li ad rectilineas compa
reneur. Nam, duobus Ce mu-
tuo contingentibas circulis,
Calcem aqualibus,  A, D A,
quorum eciam acrumq; con-
tinsies in eodem puncto A,
recta Pa; ne quidem iple
Clavius necabii arxulum
concactiis mistilineum 6IP
Csi modo lir angulus) lemissem esse anguli concactus cur vilinci
GAD; CemiTis aucem ad Cuum incerrum veram esse racionems
memodubicabit. Angulusigitur currilineus de mistilineus (li
Talrem ansuli contaetus sine rere anguli, ut rulc C larius,) Cune
homogenci,  verae racionis ad invicem CapACCS
Ouodsi angulus, qui dicirue, concactiis rereca non (IC anPU-
luS, (pronc cgo, cum Pelerario, existimo;) accamen curvilime
cum mictis nihilominue homogencierune. Nam li duo circulis
Calcem aequales, (e UEUO SECENE, _C, PeF
duo sectionum puncta, recta duCacr;
manifectum cA, heri currilineos angulcs:
mistilineorum duplos; eam qui cueris
conrexis, quum qui curris concaris, con-
cinentur. Pocest isicur currilincus, ad
angulum mistum veram racionem habe-
ees adcoq; ipli, Facente C lario, est homon
SenCUS
Sed ec porest anoulus mistus etiam ad
rectilineum rationem hiabere; quod nec Clarium fuisse nesacu-
rum exsstimo. Nam recta (si non quae tangic, Calcem) qua se-
cac peripheriam, anculum cun peripheria (Tam InErA GUAM ex-
er) mistum Facie, qui erie angulo rectilineo, Calcem aliquo,
major; qui quiilem mulciplicatus pocerie de quemvis astigna-
cum ongulum rcccitincum luperare. (de concra, rectilinens
hunc) ideoqi, Eacence iplo Clario, nogor exar, dicendus eries
persd5. Txempli gratia. Si peripheriam R A, recta S A le:
CeC, P A canBaC, in puncto A; eric angulus mituS F AS vel X-
qualis vel Calcem major ansulo rectilineo PAS; _ PrOpterca
Pocerie