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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. 1473T48.
arithmetica insinitorum.
207
P R O P. OXLVII. Theorema.
II exponatur series Subsecundanorum muletata
Cerie Primanorum; Reliduorum Cuadrata, Cu-
bis Biquadrata, ec. ad seriem sEqualium ra-
tionem habebune coonitam.
Nempe cam quxe extibetur DrOD. 133. Puca
3 D 4 2 X3.
Onadeata
NA= D = = 2V~ D+ V 2
_C ulq; ad
C abI.
Va D = 3V~D= +3VaD  NaG
_C. V(9; 2d
VD= D. = 21DD+ VD (VD.D.. 3VD=D= + 3VD.D. 1V
+IVDF -=1VD41E1D= (71D3 = sAD, + EADZ = sADE
eo , 3 + 6 130 = 36
X 2
T dC 2
5=6 + 2= 3 = 145a = 14 e
2X 2X3
1 ve 273
4X5 X b 3A 4X5 5N 6R7 s8 4 5 da bX7.
Rehaua.
V2D Va
aco ac
DD
PROP. CXLVIII. Corollar.
Dem contineet  Geries squalium mulitata serie
subsecundanorum, ducatur in seriem Subsecundano-
rum.
(Para si ordlinarim axplicata in semi parabola ducantur in
carundem concinuaciones in ip(ius complemenco.) Nam
a Oamva in va Facie V a D  N22 -- V+D- a. Rc. BCFaca
ab eorum quadracis, aguaneur quadracis AOLUM aC.