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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 779, page id 851387705:0799
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PrOPXVIII. DeCalculo Centri Crasitatis
Elludgue Solidi ABK momencum; ex Semieplindri AK Ba momento respe.
FI
ctiro subductum; hoc est (propier magnitudinem  a R P, acque Diltanciam Cen. 169,
iri graricaris a plano A rai eandem quae semicireuli d sua diametro,
R
p Der
SO. PrOP. +5.) ex Z a RS: Relinguic Momenuim Solidi ABBa respectu platii
Ara (erecti) 3aR C R + 16s R =  AR3 + 3sR + 105 R = 3FR
F 1o s) P. Adeoque (propter hujus magnicudinem La R F =  a R + a sE R
= = a RD = 2C fR, per 5. R.) Diltancia Concri gravicaris a plano Ar a,
T2 f R= = 253 T2a R F 125 R~ f 2 5315. 1 L4111. 1
0a F = 9CF
da F 94 f 953   L.b. 13 citL calo119B 3B 3rep Seu MotcB D.
Fdemque Solidi AB K momentum; ex Segmenti Semicxlindri A R b B momento
respectiro subductum; hoc est. (proprer magnicudinem LC a R F Za5V, et diltan-
tiam Ceveri gravicaris a plano As e eandem qx Sesmenci semicireuti AB V, d
diametto A a, 27 R + s v311.
30 R + 3502 P  5 R. proB. 15.) ex a v R + 5a 5 v = = a vX
LSas2R F 3a SV: Relinquir Solidi a bB. momencum respectio ejusdem plani
A Xa (HOC. elt, Omn. Z a s: Tumpris 2 arirhimerice proporrionalibus,) L L CR3
+ 5aVR +. 1853 R F Sa sVL_  Z a R B iq = sR3  L aV R  8aSR F 1853R
F Sa SF V. CAdeoque (propier magnieudinem Z a R = Z a s R L L s2R
YEa5VL = e R = = a5V, Der GY. ). Distancia Ceniri grariraris d plano A Fa,
= T2 CR3 = +2aVR 2 =6a s R = 253R + 6a SV
D0 R = +8a5V
Toriusque Ara Solidi, (sire consideretur ut ABBa sive ut ABB,) Nomen
rum respectu Ara Planii (PEOMTO A = Z (et A  2 R, e s =0,) 5R P; DI
lindri ARPa: Fancundem ulique ponderat respectu A ra plani, acque cancun-
dem inde distar; sive sic in sicu Ara sire iprellisacus PI5, id87 ip s A, A At
replicata demiestindrum complere
Sed d eadem qua jam Fradtuncur Solidi AB B mometiea, smiliier haberi p0.
cerun s Cx Solid A BB ∞ Holmentis, ausexancur Solidi VB a B mertenta relpe
etira creocsd ceor cirrostitu. el a olnu irislu
Fst aurem Solidi BBa B magnicudo, = R,  + E a R. F SS Rr 545U, (ut
SL. ostenlum est;) ejusque Cencri pravicatis, ab, A a distancia 5 ai, AIGuE a F 4
ec PA, quancum inde diltar Centrum, graricacis Sesmenci Seieireuli B l e; ac
que ab Ar a plano, quancum ab Aa diltac iptius B V a plani Cencrum gravicaris.
(elt enim, pec pCOB. 2. et s’hujubi  medib siecta cenula srdvicacio oppotica.
rum balium conjungenre: 1) cH9C, eAt n X T 45 R
3ts = ba + 6oK - 
SR.
ia T. A, R
3AP=6aR + 65R 65  Plavo, A 20,
vA + 25R = 252
te
3aR = 35k f 35B 3RP = 6a R + 65R, = 5V
: Adeoque niOmEHHIIH TespC.
Atu A a, 52 = R = - Z a3 R + + a2 5 R = = a 5V; respectu T_ = a R2 F - = a = R
FhaSR = = 45VR = 3a 5; respectu, Z, Ag 4  R E P = L a R, + = as R 
2a52 R F 5a53; respectu plani A 7 9, 5G A) =3 aV R  6aS= R - = Ea 5 v.
Flaec itaque momenia, momentis respectiris solidi A b B a Subducta, Relinquunt
Solidi ABB momenta respectira: eadem qua prius extibentur.
Eademque Solidi BBa. B momenca, momeniis respectiris ABB addica; extribe.
bunc cadem quae prius momenta Solidi A BBa Fespectira.
Solidoque bBr, eadem applicancur omnia quae de B R. A craduntur: Substienris
ubique a pro an Bprov, ra pro Y A, _ r Y prO A∞. Simmiliuer enm iplis ra,
T, adjacet bBr; aegne DR A, ipliS A L, A a.
EFFFF 2
Exhribuimue
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