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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 801, page id 851387705:0821
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PFOP. XX. DeCalculo Centri Cravitatis.
= 35BR; distantia Centri BraVITatS a Xay 3 X =
3R +
T7, 2aR = 3 a 5 R f 3 s2 R + EB R.
l
18 a - 18,i d FA, FP. 105.
 momencum respectu 
Traperii bBa V; Magnicudo ah F L SB: NOmENEUM rESPeCtU Ta, = aB= B.
+55B; respectu TA, 2ah R F sh R = Za h- 3sb; diltancia Concri F.
eraritatis a ra,
+ 25 B; a F A, 2 R - 3 a. + 2 5 B: HOMENtIM sC. K.
6a Y
spectu A an Efa B = 3s h; dictantia Centri eravicacis ab A a,
3Fa +5
6 a + 35
Scementi Semiescloidis, bV A; Magnicudo, - : e R + av + 3 5y: MO. B
mentum respectu ra, = Z eR~ F aV R F Z5V R F 3 a5 F 55; respectu P
TA, = E e R, + aV R + 35VR = 2a5 - 553; e respectu DV, L0 R 2
=LavR F Z 52R L3 a s = 353; distantia Ceneri Gravitatis a 7a,
dete F 12av R. f 3 50R +6a5 + 45
=6cR = T2 aV + 65V
dTA, = 3C R + 12avR + 950 P- 625 - 45
2 bV, 3C R 2 + 6 av R. + 95VR = 6a s = 35
6eR F 12aV +657
-60R + 1222 +650
=: Momentum respectu Aam R. P.
= + a R F = a sR + 1 3 s R = 3V R7 + : a v + 5 a 5∞ + 55. v; distantia C en.
eri Graritatis ab A an Z a - 8 R = = 3a5 R = 5 R = 3 a5V - 25 v
6a R +65 R + 22a0 +650
Trilinei AbI; Masniendo, ZC R F Z SV: Momentum respectu TA,
B.
aCR2 + 4 5~R = 35; respectu Ta, de R2 + 35 V R + 3s; resvectU BV, C.
Le R =5 av R F 2 5V R = 35: distantia Centri Bravitatis a T A,
E -
3eR + 350
Momentum respectu A an 3V R + + a R = =_ 5 R = 1 s R + 3a 50+ 3 5 v:
distancia Cerri scavicatis ab Aa, 3oN +3 a. N- 6 asA- 5 R + 6as0 + 4sV
60 R + 650
R
Adeoque exhibentur cum torius Semiercloidis, tum ejusdem Parrium N
expositarum, Magnicudines, e. Momenta respectu rectarum expo-
scarum, iplaque Centra graritatis.
Ouae autem de Momencis hic cradita sunt; ad Ongularum maonien-
dines, et Solidorum convertione factorum, Facile transferuntur. PF
planorum hic consideratorum momenta, (propter data ipta C’en-
era graritatis,) respectu rectarum aliarum, quocunque siu Polita
rum, Facile haberi poctunt.
Fademque omnia qua de his expolicis ercloidis portionibus Ea
duntur; ad alias icem, rariis modis abscistas, Facile erit accommo-
dare; addicionibus et subductionibus, prouc res poctularerit, act
tribitis.
Ouaque de Creloide primaria jam tracuntur; Ad Crcloides PIO. N
cractas ex Concractasu Facile TranStCTUNTUT.
CTTupec ra recta, insillens Circulus (quem Circulum Generantem, Teu Cceni.
R
Deorem dicimus,) puncto sui b (quod punctum lineans appella bimIS) Fectam in Fi3. 166
cangens; qui super eactem secta volri incelligatur (mocu concinuo ee aequabili
Tilii
Deripherii