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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 (shelfmark Leibn. Marg. 103)
# Folio 117, page id 85138403X:0133
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EF HINarvOUdS.
ad momencum semicirculi. Religuaque Facilius quam uc iis OpuS
sc intistere.
Nempe, ductiscum d A, cum A _ dD, in a; repericuTmO-
mentum (rest. ectu rectae C Y) Semicirculi, ad momentum semi-
suxerficiei cudra circa eondem CP; uc series dA, ad seriem
A d Yd D; hoc elt, ut 3 aci 5, Gve uc 5 2d6.
AD N E
Trems ductis eum L ud A, cum
A V d
D
in D = d. blaibetur ratio momenti (respectu rectae A F) semicie-
culi, ad momentum semisuperticiei currae, circa candem A F; uE
series AV2 = 2 d AD + at 2, ad seriem
AD= V D
dD + A d Y d D. L. DC Clt, uC X - = + =, 2d 3 = 7 + Z. Hoc OAt
UC 5 dd 16.
Hlabiris aurem, cum mognicudinum, cum momentorum ratio
nibuIS, _ unIuS cenro gravicatis; diltuntia ceneri gravitatis alce-
rius non latebit.
Sed & ae partibus Cmilirer instirueter judicium. Diviso urigs
qund ilineo incerminabili in ratione dat2 (quod perno. Aritho
Infintacile Aer,) dividieur _ CZ A curva in eadem ratione. Nem-
De, TumPCa C. Y ad C F, in racione p2: ad Y 2. erierum C Y B s
ad C tBB s, cum C Z. dd C Z A, in ratione p ad P. (FF conse-
quenter, Tumpeis C Y, C Y, 5c. quortibet, in duplicata Fatio-
ne drichmecice proporcienilium; erunt correspondenres CI,
C Z, Gc, atichmerice proportionales, iplique C J. A in aguiles
parces in punstis Z. dirila.) Diltac aurem a TC s recta verri-
c5, lire CYBS FiOUTR, (iVe C Z CUrVX, cenErum OFWVITaTIS, Z
(PaTICTeTTIA) recte C Y: Perresulam generalem quam Ep. =
stola 16 C ommereii Epistoisi subjecimus.) Unde reliqua Pacile
inrestigaLEUT.
Vides icaque quam Facile Auanc horum Froblemarum solurio-
nCS.
i vero ad Crcloides Prorractas aue Contractas libeat proce.
deres etiam sic resnon infeliciter suc ceder. Flto enim, eodem
CZ F circulo genitore, lemicy. lois, live comracta, sive praernet
yeloides
secundariao