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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 767, page id 851387705:0787
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et
PFOP. XVIII. DeCaleulo Centri Cravitatis.
dittantia Ceneri pravicalio a plano a ra,
3CR = = 35VR2 = 253. R
12VR2 65R = 6v2R
a plano 2 a n, 3 R + 5 b; a Y A, 3 R
=3e R= + 4 aV R + 5~R = 2a5, 
4V B  252 = 2 ∞
2 ; ab A a
Porcionis A R Ba; Maeuituelo, 2v R; distaneia Cenrri pravicatis à plano 1.
ATa =P momentum respectu ejusdem Ara plani (crecti)
JC R3 F=50 R2; distantia Ceneri gravitatis a FA, vel ra (hoc CA,
a planis suxer rectas illas erectis,) R; momentum respectu T A, vel
2a 20 X3; distantia Ceneri gravicatis ab Aa, a = ; momentum
respectu A d 2av R=  20 R3.
Portionis AKBB; Magnicudo, v R; distantia Ceneri Bravitatis a FA
vel bB, 30; d Fe Z. R 7 2V; ab AC, a -; a Pla1O Ara   + 5y
momentum relpectu TA, vel BB, Z2R; respectUTa, 2V R2 - = V R;
respectu Aa, av2R = ev R; resrectu plani (crecti) ATOn à C VR 2
F a 5~ R.
relie
Portionis bBaB; Masnitudo, vh R = s R: Distantia Ceneri sravitatis a B.
plano A_ F; momentum respectu ra in crecto plano Ara
chR- Fs R: Diltaricia Ceneri pravitatis ab crecto plano ran, ZB; F.
momentum relpectu ra in crecto plano ran, SR - = sV R = Es BR:
Dittantia Certri cravitatis ab Aa =C  F a2; momencum respectu HI.
Aa, = 2CR3 = ev R F a s R.
Sesmenti Solidi ABB; Maenicudo, 5 V P: Momentum respectu ra in B.
crecto planio Ar a = +0 se 3 f + av R2 = = s R; dictancia Ceneri gravi. D.
cacis a planO Ar a, = 3C R F 3av R = 5: Momentum respectu ra P
62
In CrectO PlanO TaN, ZV. R3 = 5 s R = 5 sV R; distancia Ceneri Bra-
vitatis a plano ran, 3 R = Zh; _ d bB, 3R = 3 B = 5V; d FA, 30:
momentum respectu bB, 3vR3 = 3 st R2 - 6S VR = 6V R; respecto
TA, 3V R; Momencum respectu Aey ZCR + 250R 2 - 3 a S R; di
stanria Ceneri gravitatis ab Aa, 3C R = = 35VR - 2a5
4V R = 25 = 202
P A R S S F CV N D A.
POrrO; Si Ipet AF a (Figura Sinuum vertorum, Arenumre,) Soli X.
dum insistat; alticudinem habens, in singulis b B rectis (seu arcu- F18.
bus in rectas expansis,) aequalem respectiris BV in Semicirculo, 260,
(eorum respectire arcuum sinibus rectis:) Solidi sic constructi, 170.
Parciumque ejusdem, cum magnicudines, cum momenta, et Centra
Graricatis innotelcunt.
Nempe: (retentis symbolis, ut in propositionibus prxecedentibus ;)
Solidi corius a ra sic constructi; Magnicudo, is RP Z: MOmEnTuM rC. K
spectu Y A, i6 R2 P 2 F3 R; respectu Ta, is R2∞2 - 3 Ra; dictanLia M.
Ceneri cravicatis a FA, R +
R.
ri a ra R - 34 L. Momencum N
respectu