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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)
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2 CCLC
nem P: C: enerum graviesris dictae porrionis tancundem a CF
recta diltabit (seu porius ab aequilibrii plano super hanc rectam
erecto; quod hic nobis loci perinde eAt; quod ex limiliter alibi
ubi opus est incellectum volo,) quancum inde diltat cenerum
Gravicaris aeguipollentis prismacis; hoc est, quancum ab eadem
C S distar cenerum graricaris Trilinei B FC. QuOd quaHEUM
GIE, Sc inquirimUS.
98. Trilineum, eorum C A F, est Z RP (nempe duplum Se-
micirculi, per 522) unde E auteramus erilineum B F C, ho5 elt,
2 R (Per 594) manebic = RP = 2 R~ aquale crilineo BF A;
cujus crilinei centrum graviratis (in recta BB licum) a recta
CF distat Z P. Ouae dictania, in Z RP - 2 R magnicudinem
ducta, dac Z R P~ = = R P Momentum crilinei BF A respectu
Ca F rectae.
99. Tocius autem ( A F crilinei respectu ejusdem C F, mo-
MenCum, es = RPZ = 2 R, (per 5 83; cum enim Colidum ex
convertione circa C F, (Ic S P = 2 R P; erir, subltituendo rad-
05 pro Peripheriis, 3RP=  2 R momeneum plani.) Unde (I au-
Feramus ZRPZ -= PEP (momentum crilinei BF A, Per Praeced.)
minebic Z R3 P =. 2F momencum erilinei BFC. Quod momen-
cum si per erilinei magnicudinem 2R = dividatur, Prodibit ZP = R
distantia ceneri gravicaris dicti Trilinei BFC a rectaC. F. (adeo.
que R ejusdem distancia a puncto B.)
100. Cum igicur distancia ceneri gravicacis, cum BF C cri-
linei, cum _ (597) Porcionis crilineo huic insiltentis, a C F, (IC
P R; Ecque dictae porcionis magnitudo (Per 594) 2 R: F.-
Tit iltius, respectu C F, MOMeNEUM Z R P  2 R
FOT, DuiC itaque MOmenEO, SI adjunGaUS Z R 2 PZ - =R P
momencum portionis erilineo B F A inlistencis, respectu rectE
CF, per596,) habetur: Z R~ P= =2 Romomentum totius portionis
crilineo C A F inbistentis, respectu rectae C F. Sin POrTO, PrO
criangulis 5 92 Tubsicuris, restituamus circulos, (diridendo Per R,
ee mulciplicando per P, IhaDebIEuE, = RP, - 2 RP I =B~, MOmen-
cum solidi ex convertione crilinei C AF CirCA A F, respectu rect E
CF. Duod 592 Proponicur inquirendum.
202. Invenimus aurem (588) momentum solidi ex conver-
sione semieycloidis, ad momentum solidi ex convertione semicir-
culi (circa AF.) respectu rect CF; eAe, ut 25 B+ + 24 R P ad