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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 783, page id 851387705:0803
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e
PFOD XIX. De Calculo Centri Cravitaris.
 ZOBP B R = Gas A. F asB tpL, HOhR-h R- sas R. 1 asto 
104R 105R f 25B 1a 177 2 F 70a R = 105 R + 251 eii
FiB. 169.
Aciemque habentis ra; Magnicudo, 2a R 2 = 2 5 R, = = 5BR; MOEnTuM D.
respectu Y A, 3a. = 35R = 35 R; respectu 2a, 3a  = 35 R. -
45h
Esb R + SsR; dictantia Ceneri eravicatis a TA, 3 R F 2 , o R- 275 R - 95Bi ad
45B2
Tan 3 R = 27 a k = 27 5 R = 95h: Momentum re spectu bB, Sr P - 2b ∞ H.
= 5B2 R2; respeCtu TF, 3a 2 R2 - 3a 5 R 2 -  a 5B R F Z B R3 + sB= R2;
distancia Ceneri sravitatis abB, : a - f 3 a s R + a sB - 6B R - b2 R, a T
a.-
3a5 R + a 5B - 6hR 2 - B2 R
60R + 65R = 25B
6a R - 65R = 25B
Aciemque habentis F F; Magnitudo, 102R - a 5 R L B R=; MOMENTM H.
respeCtU 24, 3a =R= L8 a5 R 2 = 2 a SBR + 2B R3 + dh2 R; respectu
TA, 5a2R2 = Z asR f EB R3 + =asB R = 5hE R; Distantia CenErI
Pravicatis 2 20, 1 2. +
B.R = 205B
qu. = Bas t 8b e id F A, q R
B. R, 2a5B
:Momen I.
tum respectu BB, 2 a R 3 - 25R3 =aB R 2- +3 a3 R; respectu TF, = 2aR
F 25 R3 = 2a BR  f 3a3R = a25 R; distantia Centri gravicatis d bB,
F2aR2 - +25R2 6aBR + a
=T2aR2 fT25R2 L F2aBR f20-6825,
302- 605. f 6BR
Aciemque habentis bB; Magnituco, 502R =B R =; MOmentM FelBC. H.
Atu Ta, 3a2R3 = = BR3 = shE R2; relpectu FA, 3~2 R2 - 3B R +
Sh R2; distaucia Ceneri Bravicatis 2 r a, 3R 4 a2 = 8BR
32
EA,
a: = 8BX: Momentum respectu Z =, 2a R= - 25 R3 = ab R + Y
3R+.
5aR; relvectu bB, = 2 a R f 25 R3 F 5a3 x; distantia Centri gravi-
TariS a F ∞ Z2a= +25 R2 6aBR + a
30 - 6bR
3a - 6bR
Onpulae Parallelogrammi bB a. B, aciem habentis r a; Magnieudo, L a B:
distantia Centri sraritatis d 70, Zh; d FA, 2 R = ZB: momentum re-
F.
spectu ro, 3ab3; relrectu TA, ab2 R - 5 ab:: Distanta C OMErI pr2 Y
vicatis ab Aa, SCubB, Ea; momentum respectu A a, vel bB, = 2p
Aciemque habentis TA; Magnicudo, 2a b R = Z 2B = = 2 a R = + a22
momentum respectu YA, Sa R3 - 5a23; respectura ab R - ; aB3;
16R- 2V
distantia Ceneri eravicatis d FM (2 P - , 3 i a 70, 2 R- 26R-
12R - 3y2: MO-
mentum respectu Aa, seu Be, a’ BR - ; a b; distantia Ceneri eravi-
tatIS, ab Aa, (CuBB, 34.
aciemque habentis A a; Magnicudo, : a B; distantia Ceneri gravicacis L.
an 2B; dFA, 2R - = B; tomencum respectu Ta, + a2 B2; respectu
A, ab P = = a B.: Distancia Ceneri gravitaris a BB, 5 a; ab A e 3ai M
momentum relpecta bB, 5a3h; respectu A∞, Z a 3B.
Aciemque habentis bB; Magnicudo, =a B; distaritia Ceneri Braviratis a
0,Zb; a FA, 2 R - Eb; momentum respectu ra + a 2B2; respectU FA,
ah2 R = Z a = B2: Distantia Ceneri gravitatis ab Ae, 54; d BB, 34; NO. N
mencum respectu A e 5a b; respectu bB, 3 a3b
Ladem.
0.