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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 126, page id 824573315:0338
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126
arithmetica infinitorum.
SCHOLLVM.
PrOD. 102
Ec pari modo procedendum eric, si exponatur series prima
norum (vel eriam Sccundanorum, Tercianorum, _C.) aueta
Perie quilibet alia, uc non sic opus hilce diucius immoraet.
PROP, CLZII. Corollarium
DeOg. Conoides vel Pyramidoides Fyperbolicum ad
asemissem Cylindri vel Prismatis circum (cripti, est ut
S adt 6: ad totum vero, ut 8 ad 12.
Incellise, hicam exantrersa diamerer, quam diameter inter-
cepra maxima, ponacur aequalis laceri recto: secus enim ad-
hibenda eric moderacio.
Nam, S DOnatur Hyper bOIX latUIS rECtu LVeL R, Cran(VerPS
diamecer 1 = l, _ diaeTer INEETCCDCA d, erunE quadrata Or-
dinatim apelicatarum d1 + =, dl (DeF PrOP. 33. C On. Sect.) vel
(PrOPtCKI = 1) dI+ d 2. EEprOPterCA (cum AEL vel R, CerTI
quanciras, _ dmucabilis _ quidem alcicudini proporcionalis,
pro qua isicur subai
cui Dote a B,C, _C.)
crune omnium qua
draca (adeoq;e plana
Conoidis rel Pyrami-
doidis) Ceries infini-
ca Primanorum aucte
Terie Secundanorums
Duta aR + a = BR L
b=, cR + CL _C.
vcq; ad R = + R Z. R-
deoq: Teries illa ad
Temissem serici coci-
dem maximo (R = X
R Z =- 2R =) aequa-
lium (puta ad AR =)
ericur5 ad 6, Pet Placea. et prepcica dd Incexram illam se-
ate _GaaM AC5 2d T2. OuOderAE DEOPOMTUM.
CHO