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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)
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De Calculo Centri Cravitatis.
Cap. V.
Nempe, Si Tuper VA (plano, rectare, aut curra in plano deseripta) Magni-
C4. F. cudinis nocae; erigi incellisantur Ungula dua, quarum altera aciem habeat  leu
VB, altera a seu ar (ipsi VB parallelam;) licque eadem ueriusque inclitatio
(puta angulus F VA, angulo Fa A aequalis:) Maniteltum cA (Propter parallctas
tire lineas sive superticres V F, rF,) Ongularum V F A, V vFA, disterentiam esse
luperticiem Tolidumre V L Er, vel V raA; hoc est, tactum ex base VA in alti-
cudinem V v: Duxe quidem alcicudo Vr elt vel ipsi a V (distanciarum difteren.
cix) aequalis; nempe, si inclinationis angulus F VA, Seu Fa A, Tcu Y a V, sic sC
miquadrancalis; vel illa major minorre, in ea racione quam postulat dacus incli-
nacionis angulus.
Adeoque, si Vngula FV A nOT SC; addito VF FV, vel V va A, (Facto ex
bate V A in alcicudinem V v,) habetur Ingula V vFA. Si noca sic V v F A, dempro
eodem VF Er vel Vra A, habetur Vngula V F A
Si vero iplae VB, a r, acies, non lint parallelae; s tamen sint in eodem plano,
eademque ueriusque Ongula inclinacio noca, acque innoteleat Paltem quanta (IE
distantiarum a halis Cenero praritatis ditterentia; idem Cimiliter obtinecur: uE ex
ante demonstraris patet.
Ouodque de Ongulis dictum elt; Momentis grarium quorumris accommodabi-
tur. Cum enim graris V A momentum xstimetur ex facto a magnitudine in di-
stanciam Cencri graritaris ab VB, Seuar, (incellise, a perpendiculari plano per
axem, VB, seu a r,) differencia harum dictanciarum (hoc est distancia planorum
paralletorum BV, a T,) in eandem V A magnicudinem ducta, extibebit Momen.
torum ejusdem V A ditterenciam respectu AXium BY, e a 7.
Aique hinc speciarim, Frilinei auc Polysoni cujusris, in superficie Cylindrica
deleripei, planis urcunque poliris abscisti, (seu quod eodem recidii, rectis, circu
lis elliphbutre, quibuseunque terminati,) magnitudo colligitur. Ouippe mani
Feltum est, hujulmodi quamlibet tiguram in supertieie Cylindrica descriptam, elle
vel hujulmodi Ongulam, vel Calcem in hujusmodi aliquot Ongulas dirisibilem.
Adeoque (si dari incelligatur arcus circularis Centrum gravicatis, quod prOD. 14.
exhibetur:) iltius sive Ongulae, sive Ongularum aggregari, magnicudo hinc ta-
bebitur. Ouod de aliis icem Corporum Prismaticorum superticrebus, tixurisque
inibi descripris, pariter incellisendum exic.
SCTTOL TV M.
JOrandum incerim, Ouanguam univertalices proceclat propolicio, de quocun-
l. N que plano Z B C D, cui incelligatur uc bali insiltere Solidum Prismaricum:
adeoque e quameunque habeat ad balin suam inclinationem: Expedire camen
nonnunquam polle, illud ex omnibus Planum seligere, quod solidum recte secet:
cui iraque ad angulos rectos intistat solidum. Vcur enim rel Fructum secet, vet
ne accingac quidem, illud XBC D planum, idem incerim de alcicudine ex (H5.
239.) incelligendum eriem, quod de Cin (fis. 136.) dictum est.