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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 723, page id 851387705:0743
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eFOD. Z. V
De Calculo Centri Cravitaris.
vel (PrOPter 2V R = 0
a
FE speciacim, in Semicirculo A DC, (PrOPIer
V = 2 R, et a = EP,) distantia Ceneri graritatis ab Ae cst -. In Ouactrante
veco ADC, prOPteC, D = _, ee a = + X) distantia Ceniri gravicais ab A a, eA H.
milicer
Est igitur, (propier magnicudinem, Za , per SD,) Sectoris BCA, respectu Fis.
rectae A a Momencum rel Ungula Semiguacrantalis, (ducta magnicudine in di- 159,
Ptanciam,) SC2 R = ZV RZ. Adeoque Solidum incerra convertione circa Aa de- 160.
(criptum, Z02P = ZV RP; e convertione dimidia, +02∞ =ZVRP. FL, spCcIa-
im, Nlomencum Semicirculi AD a respectu A a, vel correspondens Ongula, 2 R3:
Fic Cotidum convertione circa A a factum (nempe Sphara intCBrA) 3 R =P; et
Semilolidum, Scu Femisphaerium, 3R2 B.
Ouxque Quadrantem spectant, lunt eorum Semilles. ile
Sin, ex hoc Sectoris BC A momento 30=R =Z V RZ; auteratur momentum (re.
spectu ejusdem Aa) Friansuli A BC; noc est (propier Balin AC = R; alcitu-
dinem BV = - 5, adeoque d Base AC distanciam, =5,) Es2 R: Habetur, legmenti
AB A, momentum (respectu ejusdem Aa) ZV R 2 = ZS R = EC=R - 752R -
5vR. Duod per magnicudinem se P (per 5C,) divitum; exhiber Ceniri pra
vicatis ab Aa distanciam  = 22=. Solidumque ejusdem inteora conver-
sione circa A ay JV RZ = 5528 = 3 v Q; et convertione dimidia, sV R~ -
252 = =V2F
Exsimilier de seemenro a Ba muraismucandis: Dura, subticuris a pro an et B
PrOV.
Deinde, Trianguli BV C, dictancia ceneri gravicaris ab Aa, (per 6 hujus) est R.
LBV = =5. Adeoque (propter magnicudinem, ut prius Z s. N; hoc elt, Z 5 R - = 5V.
vel 25V= =s R prout supra intrave Centrum fueric;) ejuldem, respectu recta
AC Momencum, vel Semiquadrancalis Ingula, CstJ s X; hoc est 3S2 R - 5 52V
vel 352V -352R, pront lupra intrare fueric. Adeoque Solidum interra conver-
NE
Tione circa Aa lactum, elli p: (hoc cll   - s. P, ve v - 
6R S2P, PTOuE
uprave intrave sueric:) Ey semiconvertione,  i hoc est (ProuE supra in.
Frave Luerie) 
12 X
1D, bet v = R, . 4
12X
IIludque Frianguli B V C momencum vel semiguadrancalis Vngula, momento
vel Ongula Temiguadrancali Sectoris BC A (respectu ejusdem A a rectae,) Subla-
lacum E Supra Centrum tuerie, vel addicum sintra; exhibet Nomencum (respectu
ejusdem Aa) vel semiquadrantalem Ongulam correspondentem, Senusesmenti
BV A. Hoc Cst, Si momenco Sectoris BCA, 502 R = , y R (per 5O) aute.
YYY 2
FaCUIE