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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 117, page id 826605435:0137
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EF HINarVOUOSO
ad momeneum semicirculi. Religuaque Facilius quam ut iis opus
sie infiltere.
Nempe, ductistum d A, cum  N dD, in d; rePeriEuF mO-
mencum (respectu rectae C Y) Semicirculi, ad momentum semi-
superticiei currae circa eandem CT; uc series d A, ad seriem
A d V d D; hoc elt, uL 3 40 3, sive uF 5 2d 6.
Irem, ductis cum A D  d A, cum
AD V 2
AV d D.
in D = d. Elabetur racio momenei (respectu rectae A F) semicir-
culi, ad momentum semisuxerticiei currae, circa candem A F; UE
feries AV3 = 2 d AD + de A, ad seriem
ADE
= 2ADV
dD + 2d V dD. Hc est, uc x = = F 7, ad 2 = 4 + Z. Hoc est,
UE 5 ad 16.
Habiris aucem, cum maenicudinum, cum momentorum rario-
nibus, _ unius cenero gravicaris; diltancia centri gravicaris alce-
sius non lacebit.
Sed e de parribus similicer instiruetur judicium. Diriso urigs
quadrilineo incerminabili in racione dacâ (quod pernoi. Arith.
Insin. Facile Rer,) dividicur _ C.Z. A curva in eadem ratione. Nem-
De, TumpcA C Y ad C F, in ratione p: dd PL. eriecum C Y B s
ad C F BB s, CUM C Z ad C Z A, in ratione p ad P. (FE conse-
quenter, Tumpris C Y, CY, 8c. quorlibet, in duplicata ratio-
e Rrichmerice proporcionalium; CrunE CorresDOndenteS C L,
CZ, 8c, arichimerice proportionales, ipeaque C Z B, in aequales
parces in punctis 2 dirica.) Diltac aurem a TC s recta verti-
eIS. Sive CYB stigure, sive CZ currae, cenerum gravitaris, 8
(Parte certia) recte C Y: (perregulam generalem quaM Epi-
stolae 26 Commereii Epistolici Tubjecimus.) Unde reliqua Facile
invectigAnEUE.
Vides ieaque quam facile Auane horum Problemacum solurio.
nCS.
Si vero ad Crcloides Prorractas aue Contractas libeae proce
dere; eriam lic resnon infelicirer succedec. Eltoenim, eodem
C~F circulo genicore, lemicyclois, sive conracta, sire prorracta,
Cgeloides
secundariao