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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 713, page id 851387705:0733
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il
PTOp. ZIV. DeCalculo Centri Ceravitatis.
4) c∞ (= P. ) CA (= A = b. d. b.. A. C.
Fst autem, in ArCUS AXC AC; per PrOP. 3 hujus. Ergo, in illius eo Puncto
quod d Diameero DCD, ejulre puncto C, (circuli cenero,) ita diltat. Per DTOP. 26.
Cap. 4. Nempe, ut a ad 6, SiC R ad G. Hoc elt, ut ArcuS B AB, ad BB Chor
dam; sic C. A Racius, ad Cenerr Crrariraris a Cenero Circuli diltantiam, C. Gr. Ouod
erac propoticum.
Fxoonacur deinde, Arcus circuli Semiperipheria major, BaB. InVentO, ut B.
prius, relidui arcus B AB cenero graritatis CF: erit (propier torius Centrum gra-
vitaris C, per prop. Shujus) expolici Cencrum graritarisy, in GC continuata:
Aeque uc Ba. B, ad BAB; SC C. (, ad CY: (per prOP. 27. Cap. 4.) sive, ut
a = 2 = an 2d a; AC C = = R, dd y = (= x
= =) = R. Adeoque ut a 2d
C, BC RadY: Vel UE Ba B ArCUS, ad chordam suam BB; sic Racius C aq 2d C 7,
distantiam Ceniri pravicatis areus expoliri, a cireuli CenHO C. Quod erat propoti.
tum.
8. a:: G = = R. 3 = = R. 2. C:: R. Y.
Speciarim vero, in Semiperipheria, (quam ad urumris duorum eatuum relera. C.
mus, perinde eAt;) cum lic (propter c=D,) cF =DP; li hoc per Areum
a= a = = ~ dividacur; exit = P) DP (2 D, peripheria Cencro grariracis descripta;
cujus icaque Radius  R, hoc elt, , est Cencri Cravicatis d Circuli CentrO
dictancia, C6 =6 =
a. C:: =2. D = 2 R:: R. 6-
∞ A
itam Tuam, qua CAt Racii C. A ad C C distanciam cencri graviratis in ipta C A:
Daca rationum una, datur altera. Data vero unius Areus (cujus ratio ad tocam
Peripheriam nora incellisatur) ad Chordam Cuam ratione; dabitur ejuldem, adeo-
que corius Pcripheria, ad aliam quamris Chorcam, ad eoque ad Diamecrum iplam.
Iiem illud de Ingulis, Solidisque aux superticiebus convertione tactis, simili-
F
tex parer. Si enim Superficiei Solidire b ddb (conrentione Linex Planive BD Fie
15
Corollarium iem pacet. Cum enim eadem sic racio Areus B AB act BB chor. D
facti) cinguli Arcus BBB, dDd, (plano X BD bisecti) extendi intelle a
tocidem sibi aequales rectas BBB, SDS, eildem plani X B D punctis du alSI
rectos inlistentes, acque ab eodem bilectas, (xesttale Oneulam, vel ex euabi
compolicam complenies; per prop. v osuo  a
pI