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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 725, page id 851387705:0745
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i
Centi
vitatis
nati CO diridatur; ducancurque ordinarim.
applicaca V B, OcCurrenEES ipB DO in MI, ipI-
que CO in N: Maniteltum eA, Ouadratum
ordinacim applicatae B V, aquaFI GUIadratO C B
minus quadrato CV (per 47 cl. F. Fuclidis:
FIOC ell, OVactraTO V AL MInUIS quadtato VH
sime enim V HI =C B, e Y N ==C. V: ee lic
ubigue e
Adeoque, Omnia quadrata B V complencium
ADC quadrantem; aequaneur omnibus qua.
dracis V MI complencium AOD C quadratum,
minus omnibus quadearis NV complentium
ACO Priangulum. Ec cingula lingulis re-
spectire TumBCIS.
Adeoque li ex Parallelepipedo ODCa (quod
compleant omnia ML V g;) eximi incellisacur Pyramis OC A (quam compleant
omnia NYV 9:) quod reliquum est, aequabitur omnibus BV g.
Auc etiam (propeer Circulos Guadracis Radiorum proporrionales) Cylincrus
ODDO, exempio Cono OCO; aequabinue Tremisphaerio, D A L
Sed e (propier singula BV q lingulis M Y q = NV q aequalia,) etiam par-
res parcibris lerpcecre mpils dequantur.
Nempe; Paratlelexipedum OM V A dempro Exramidis LTunEO ONV A (SIV
Sic Supra Centrum) vel dempra Pyramide aucta OCN V A (si intra Cenerum;
hoc est, dempro OC A FNCV: A quatur quadracis ordiracim applicatarum in
ABV, Tegmento. Et lic ubique.
FEbmilluer: CstinaruS OMMO, deMPTO ONNOvel OCANO (hoc ett
dempro Cono OCO, mulctato vel aucto simiti COnO NC N, PrOuE lupra in-
trave cencrum tueric punctum V) aquacur Scxmenco Spharico ABB. Et sic
Ubigue.
tis potutis: crie ( propter M1 V q = R, et A Y = v,) Pacallelexipedtum
OMVA = v R2.
TrM; (prOPter O A g = AC g = R2, et AC = R,) est Pyracis OCA = 3 R3.
Trem (propier NV9 = VCq = v, _ VC =~; ) PyramiS NCV
vi
Fsergo, Summa Ouadratorum omnium Ordinarim applicatarum (puta omnia
02) complencium ipsum ABY lemiscemencum; OMt Y A =OCA FNCV
=DR2L
Fst aurem, supra Centrum, N = R = V; IIa CCMM, N = = R F V: Adeo.
que illic NS= R 3 au 3 V R Z F 3V2R = 23; hic verc
202R f V3. Ergo (cum illo calu habeatur L = ∞ 3; hoc vero
x3) exie
VR2 = =  L5 ~3 = v2 R = 5 V3 (utroque catu) summa omnum o2; Teu Ou2.
dratorum ordinatim applicatarum complentium A B V semisesmencum
Veleriam (propter v2 = 6 2 = 52 = 2V R = 5; adeoque v2 R = ZVR - sR
2R = 3 52D = 3V 
Lutrima 22 R = 3 03 = 3~ A2
pt
R-
52
552V;) cric eadem Omnium a
Sed et manitectum porro cst; cujusque rectae ut B V, ( acque de huic parallelis
Semileomentum BV A. complencibus simile eris judicium,) momentum respecti
rectae Ra, aequari semiquadraco ejuldem, (propier Recta Cencrum gravitatis in
iptius medio; adeoque YBx = V B = = V Bg.) Fx Similiter quae lemiquacranca
lem Ongulam (aciem habentem A a) complenc plana, iplis B V inCiltencia, aquart
gjusdem BV semiquadraco; (nam, propier angulum in V semirectum; alcicudo
3V2R-
vA
Hure vero Semilegmenei BV A morento (respectu recta Aa) Se invento; St
addantur Friangulorum BV C, b ra (respectu ejusdem A a) MomenIZ; (SR, 3
reverta:) Prodibune Momened (respectu ejuldem Aa) Sectorum BC A, B a A:
Cxceraque de Solidis conversione cisea A a lactis, C’encrisque gravicacis planorum
PrOP. XV. De Calculo Centri Cr.
In B, aqualiS CFIEIPLI BV bali; ipluneue Priangulum Rcctangulum IPosceles
eric Ouadrati dimidium.) Pr consequenter, cum Semilesmenti BV A momencun
respecta iptius Aa; cum semiguacrancalis Ongula cidem BV A in siltens, acien
tavetto Aa; aeguabitur corundeo semilumma; Hoc elt,
852 R + 352V =5v= R f 5 528. Idem quod supra (5 R.) repercum erat.