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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 717, page id 851387705:0737
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P.
listau
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PFOD. XV. De Calculo Centri Cravitatis.
describatuir peripheria bB, (expositae BB MMMIIIS, de Similitex POLica) cransibit hXC
per Friangulorum SInGUIOTUI CentTa BTAVIIAUS. Cujus Haque cum linsula puncta
1 e
Fig. 258.
8 R2
C. B, diltaciciam Cencri graricaris Semieircudi (in axe suo polici) a Cir.
culi CenErO C.
Corollarium, de Circuli Sesmento; constat ex 27 Cap. 4. Ouippe cognitis, cum B.
magnicudine, cum Centro graricacis, Sectoris CB AB, vel C Ba B, _ Prianguli
BB C: Cognolcitur inde cum Magnicudo cum Cenerum sraricatis Sesmenti BB A,
vet BBa
Idcinque in altis Circuli porcionibus oltendetur.
vitue
Exemoli gracia. In exposito Circulo, lic Racius C A (vel C.B) == R: Inte- C
Era Peripheria, P: ArcuS B A = a: Adleoque BAB = 2a: Chorda B A =c: F18.
Sinus rectus BV = 5i adeoque Chorda BB = 25: Elujusque ab A verrice diltan. 259,
100.
(aequalibus ab inricem distantiis remota) aglaliter onerentur (aequalibus utique
Triangulis, gnorum Centra grarscatIs Lultinere MIITCISSAMTUL:) LaCM etI areus bB
Ec onulti Centrum praritacis, atque ipsno Sectoris BC b, POI 10 Cidp. qu l’ac1o
itaque; ut chorda B B ad aicu luum, hoc ell, Ut CHOra BB ad alcum luum:
sic CCn ad radium Cib, hoc Ci ad ZCB: (Hoc est, CC = 2 R: ) Erit C
Centrum gravicatis Arcu VB, (Pex PrOP. praeced.) aleque e (per jam demon.
Strata) Sectoris BC. B. Duod demonstrandum erat.
Hloc elt, speclau  Semicirculo; SE SemiperipherIa = L; dd C HOFCaM LUat
hoc ett, ad circuli Biu 2 R; sc duo Trientes Radtii, 3 R; ad
na, (hoc elt, Segmenti DB A. alcitudo, vel expotiri arcus B A sinuS ver LuS) A:- V.
ejusque Alciudo Teu distancia d bale, V a = 2 R = v== B; eju (que a CeHEO C
dictancia VC == N; (eriique a = R ~, S V EL supra Centrum C, adeoque BAB
minor quam Semiperiptieria; vel N =V - R, R V EE intra Cencrum, adeoq
B AB major quam Semiperipheria; rel denique n =0, R V sic in Cenito alt
que B AB Semiperipheria:) Trem a = 5 = e; a + 5 = f; X + v = 2.
CXX X 3
Est