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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 123, page id 824573315:0335
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ProD. 155, 256, 157. Arithmetica Infinitorum.
PROP. CLV. Th: rrema.
123
l exponatur Peries Aqualium aueta lerie Pri-
d
manorum; Rggregatorum Ouadrata, Cubi, BI
quadrata, _c. 2d seriem toridem eorum maxi-
mo sEqualium, racionem habebune cognitam. Nempe
Scriei
R+ d
_C.
R+R
Ouadraca.
+ 2 aR + 2
_C. 1(9; 2d
R = + Z R R + R =
Cubi.
R +3aR  + 32= R +. 2
_c. 2(9: 2d
R 3RR = + 3 R =R + R
ARtZAR AR = +ZAR + = ARE AR + EAR +3 AR F + AF
+ 2 + 2- 3
+ 2+ 3+  = = 2
Ubinumeraror quilibet contat ex prae cedentis duxlo unics-
ec aucto: Denominaror ex pexcedemre unitacc aucto.
PROF. CIVI. Corollariu.
Deog), Si Trapezio (ex Parallelogrammo x Tri-
angulo, aequalium basium  altitudinum, constato)
aptetur Conoides (vel Ppramidoides) truncatum (seve
convertione circa axem, sive alias;) erit illud ad Cylin-
drum vel erisma inscriprum, ut Z adt T, vel, ut 7 ad 3.
Nempe uc quadraca seriei Aqualium Ceric Primanorum
auccae, ad leriem sEqualium.
Sin Parralleloeranimi d Trianguli balis sinc inxqualeamo-
deramen adhibendum eA.
eeo ide. Cdatm
aurem conoides vel egramidoides illud Cylnarice
vel Prismatice excavetur; residuum erit C ad exem-
ANM