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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 33, page id 85138403X:0049
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DE
et CDOADE
ex convertione correspondentis Trianguli in semicirculo, ut 3 dc
23 cum 2 Y distanciam medix balis, ad distanciam ceneri gravi
caris Colidi ex criangulo sic converto, uc 4 ad 3: FH aurem Z X 8
2.) Adeoque decuplum omnium 2Z. in dicta Colida vel quadraca
ad triplum omnium Z. Y in eadem solida vel quadrata; crie, uE
dccuplum momenei solidi ex conversione Trilinei resticari (circa
AF) respectu rectae C F ad sexruplum momenti solidi ex simili
cenversione lemicirculi respectu C F rectxe; sve, ue quintuplum
illius, ad criplum trujus.
88. FA aucem Annulus convertione Semicirculi Factus, = RP
ex ductu nempe semicirculi ? AP in P peripheriam ceneri con-
versione descrixeam;) qui quidem ductus in
BR2
P C distanciam
ceneri gravitaris semicirculi, adeoque ec onnuli semicirculi con
vertione facti, d recta C F,) dac = R P, momencum onnuli re-
spectu rectae C F: (cujus itaque criplum est 2 RE P.) Momencum
aucem solidi convertione Trilinei resticuri C AF circA A F, respe
etu C F rectae, dicamus aliquancisper B~. Ouincuplum igicur tu-
jus, ad Triplum illius, est uc 5 B  ad 2 R. P: Cui rationi (1 29
jUNGAEUE FaLIO 7 ad 3, sIve =F R. P ad 2 P 3P, habetuE ratio mo-
menti solidi ex convertione Semicreloidis ad momeneum solidi
ex convertone lemicirculi (circa AF) respectu rectxe C Fignempe
Ba + 24RZP ad ~ RZ P, vel E5B= F x4 R + P. ad 6 R. P.
89. Sed (quod 5 64 dictum est) eadem plane rario est mo-
menti, respectu rectae A F, Solidi ex convertione (vel senicon-
vertione) Semicrcloidis circa C F, ad momeneum solidi ex (-
mili convertione (vel semiconvertione) semicirculi, respectue
juidem AF linex aequilibrii. Ouod hincerenit, quia cadem
rationes ucrobique componuntur; cum hoc Palcem discrimine,
quod dux magnicudines reciproCanEUE; nempe Z Y quxe in hoc
solido ingreditur composiionem Tolidi, in altero nocac distanti.
am a linea aequilibrii; COnErA verO reCtA F Y.
50. tlaec aurem eadem ratio sic alias colligirur. Nempe (sump-
eis rectis Z. Y A9. 8. aequalirer ab invicem distantibus,) momeneum
illud Colidi ex convertione semicreloidis, ad momentum Colidi
ex simili convertione Semicirculi, est ue momentum omnium
Circulorum radiis Z. X descriptorum, ad momentum omnium
circulorum descripeorum radiis ZY; hoc ett, ue momentum om
n