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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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XIC
arithmetica Tnpnitorum.
PrOD. 137.
AasOD, Das crune in Subduxlicaca ratione ordinatim. axpli-
cacarum in circulo vel elliph: auippe quia rectangula ODa luno
illis ordinacim applicatis provortionalia.
SCTOLLVM.
Noca eamen, non necestarium esse ut lemi parabola inverlo
Eicu polica sic plane eadem cum ca quae ponitur sicu directo:
nam res non minus lucceder in quibussibet duabus semivara-
bolis inrerlo sicu posicis, modo aque alcis. Ica tamen ue, si baleo
habeant inxquales, basis Para llelexipedi non Cumatur, ucriulris
Parabolarum batis quadraco. sed ucriulq; rectangulo aequaliso
Puta P On A c. Ouod monuisse Custiciat, cum seadem qua pra-
celsic demonstracio, leriimmucatione facta, eciam huc accom
modaripossie. Vel eriam hoc indetacile interri possie,
ligura rero ex omnibus mediis proporcionalibus (Incer OD.
Do) conttans, erit quoddam Plliptoides: cujus nempe ordi
nacim applicacarum quadraca Cune ipsis ordinatim applicacis in
elliphiproporrionalia, ut pacer. Sieuenempe in paraboloide
Biguadracien ordinacim applicatarum quadraca sunt ordina-
eim axplicatis in parabola proporcionalia; Ec quadraca ordi-
nacim applicacarum in Parabola proportionalia ipsis in crian.
Sulo Ocdinacim applicacis.
PROP. CXXXVII.
Corollarium.
Lem, Spharoides (v el etiam conoides aut pprami-
doides Ellipticum,) ad Eplindrum (vel Prismacir-
cumscriptum,) rationem habebunt eam quam habet
quadruplum seriei Primanorum serie secundanorum mul-
etatae, ad seriem touidem sEqualium maxime Primano-
rUM. Nempent 2 ad 3.
pone