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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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PrOD. 134, 135.
Arithmetica instnitorum.
10)
numeros quadracos, d denominatores pex binos continue le
quences arichmerice proporcionales.
PROP. CXXXIV. Corollariumo
Deoq3; Si series qnalium mulitata serie Primano-
rum respective ducatur in seriem Primanorum: Re
Etanculorum (ant ipsis aequalium vel etiam propor-
tionalium Onadratorum autfieurarum quarumvis) asgre-
eatum, ad ascresatum totidem aequalium, rationem ha-
bebit coenitam.
atq: idem accidet si vadrata seriei illius in Quadrata
hujus; Et cubi illim in cubos hujus, c respective du-
CantUr.
Nempe eadem prodibune rationes quae in PrOP. PExced.
NNam B ducacUE
D in 2. C: D ma:  D  BaD+DE C:D mod: = D  3aD = X3AV =a
n
in aE
Eet aD un aE a = D = = 2 d D + a
ut
_C.
_C.
PROP. CZXXV.
CirollariHm.
ec
Deoq; Semi-Cirenlus ad Onadratum Diametri (vel
etiam Semi-Ellipsis ad Paralleloerammum Ellipso
circumscripium) eam habet rationem quam habent
Radlices quadratiea universales Residuorum serrei Prima-
norum serie secundanorum mulitatae, ad seriem Prima-
norum illorum maxima sequalium, Totus itaque cireulus
(aut Ellipsis) ad illud Qnadratum (vel Paralleloeram
mum) rationem habebit illius duplam.
Nam si diamerer circuli Creleriam clipleos Pona
C1
aeD  3a + D = + 3aD