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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 35, page id 85138403X:0051
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DL CLCLL
94. FK utique (per S23. UC supra 5 76 oAensum eA) Tri
lineum BBC = R 2: 2deoque Prilineum B FC (quippe ictius du-
Dlum) 2 P2. Elujus: aurem cenerum gravitatis in recta BB ja-
cere, manifectum est; adeoque ipsius ab A F distancia es R. =
BF. Due quidem distancia _ in magnicudinem 2 R 2 ducta,
dac 2 R, momentum dicti crilinei B FC, respectu A F rect x.
Adeoque aequale plane ejusdem MOMeNEO resPectu BB, UE
ex 5. 99 PaTCL.) Sed e (proprer porrionis alticudines, ut dictum
est, diltanciis punctorum quibus insictune ab A F aequales; adeo-
que alcicudinem Cuper basis cenerum gravitaris, aqualem rectae
BI =R;) idem 2 R eA magnicudo prismaticae porcioniscrilineo
BFC insiltentis.
95. EK aurem corius C A P crilinei, momentum respectu
AF, (adeoque e prismacicae porrionis cori insiltentis magnieu-..
d0,) ZR P; (nempe Z momenti semicirculi, per 5 2+:) Inde
E duferatur momentum eritinei B F C, hOC CR 2 R 3, (per Pre
ced.) manebic Z R =P = 2R momentum crilinei B F A respectu
ejuIdem A F rectae: (unde, Si opus est, colligetur distantia cen-
eri gravicatis dicti Trilinei BF. A ab A F recta, nempe
38 = 26R7
A = 16P
quod provenit ex dirisione momenei 3 R = P = 2 R2 per crili-
nei magnicudinem Z RP un 2 R~; adeoque ejusdem ceneri a BB
distancia, eA a P = 16R R; quae nempe cum illa altera com-
Blet rectam B B i R.) Ouod ipsum S R = P  2 R. C Ob CaUTAIM
modo dictam) est eciam maenicudo porrionis prismacicae cidem
BFa crilineo insillentis.
96. Hlujus aucem prismaricae portionis (crilineo BF A in (-
Eteneis) centrum gravitacis in recta B B jacere, manifectum elt.
Est ieaque ejusdem a C F distancia, BF = =P. Ouae quidem
distantia in porcionis magnicudinem 3 R = P - 2 R. ducta, dat
2 R= P2 =L R. P, momencum dicts Porrionis (crilineo BF A in(I-
lteneis) respectu CI rectae.
97. POrrO, Cum (Per 5 94) Portio prismacis crilineo BF C
intistentis (IE2 R~; aquipolleat aurem, cum magnieudine cum
_ momento respectu F rectae, prismaci suxer eadem bale, al
ricudinem mediam habenci; hoc est, egualem ei quam habet di-
Eta portio super balis sux cencrum gravicacis, hoc elt, alcirudi-
HCT