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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 17, page id 824573315:0229
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P. FOP. 21, 22,23.
drithmetica insinitora
P R O P. X XI. ZhcOreMA.
P pro ponatur series infinita Zrantieneum in du-
Plicata ratione arithmerice proporcionaliu, (sive
juxta Ceriem numerorum quadrarieorum,) con-
tinue crelcentium, a puncto seu o inchoatarum; crit
illa ad seriem rocidem maximae aequalium, ut 2 2d3.
Pacet ex praced.
DROP. XXII. Corollarium.
Deoq; Conns vel Pyramis ad eylindrum vel Prisma
Super eadem vel agnali base aqne altum) est ut +
43. 3.
Conttare enim supponimus cam Conum quam Pyramicem
ex intinicis planis similibus _ parallelis, in duplicaca racione A-
richmerice proporcionalium consticuris, quorum minimmum
Suxponitur Punctum, maximum vero bals; (per ea qux dixi
musadPEOD 6. C Om. Sect.) Cylindrus surem. vel Prilma, ex
cocidem maximo aequalibus CuE PAECE:) Racio igieur cA UC L
ad 3. Per praced.
DROP. 2ZIII.
Coroll:
Tem complementum semi-parabola, (intelliee freu-
ram AOT quae cum ipsa semi- parabola complet Pu-
ralleloerammum,) est ad Parallelogram mXI TD
Super eadem vel aquali base aeqne-altum) ut 2 act 3. (FF
conseguenter, ipsa semri- parabola est ad idem Paralielo-
Prammum, ut 2 adt 3.)
RAoenim FigurX ROT vercex A, diameter AT, basis TO.
19 Parallelae quoclibet (Balem incer _ verricem) TO, T1).
ac. Ouonigm CurIC (PerDTOD. 2I C On SCCT.) reAX DO, DC.
Lc. in Cubduplicaca ratione rectarum AD, AD, _C. ErUE
eCOntra