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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 785, page id 851387705:0805
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D
PEOD.XIX. DeCalculo Centri Cravitatis.
Aciemque habentis Aa; Magnitudo, = = a = R + a5 R = ~ R 2 + = a2v:
momentum relpectuZ a, = 3a R  + Za5 R2 = V R3 = 352 R2 = = a 5V R
+Z22 V R + 3 a2 52; respectu PA, = 3a R2 + 3a5 R 2 = V k 3 +352P2
++a52 R = Za= VR = 2 a 52; dictantia Ccurri sravitatis d Xa, ZR -
2 a 5 V R + a 2 V R = 2 V R3 + s R = = 24 25
=4 a2 R = 8a5 R = 80R - ( 4 a 2V
2 a 5 VR + a 2 VR = 2 V R3 + 5 R 2 = 2a
=+ a2 R = 8a5R = 8V R= + 4a =v
2050 + a VR 2VR L SR2- 2as
 d FA, 3R +
a bB, 3 X = B -
=qa P F Bas R - 8v R f 4aV; MOmentuM respectu BB, 3a R -
l18
1697
vR3 + 85R =3a5 R F 3 a5VR = + a2 S2: Momentum respectu bB, M.
=2C R = aV  = 5a R = 5aV; respeCtUAa, 2CR = 2aVR - a R + a 5P f
3a3v; distancia Ceneri gravitatis a BB, 120 R + 6avte - a R + a v
Z2CR3 = +24V R = 2a R + 6a 5R f 283V
=3 a R F CaSR = OVR  3aV
3a. X + 6asR 6vR + 3 aei 2b Aa,
Aciemque habentis BB; Magnitudo, - 1 a2 R L vR2 + 3 a V; momentum I.
respectu ra = 50 R= + V R3 = 5s R2 = Z a V R + Za5; respectu Y A,
=3aR2 F vR3 = 35 RZ = = a V R - = a2 s; diltantia Centri gra-
vieatis d ra, 3X - = ~ R = a 2 V R -- 52 R2 = 2 a
20R + a vR - 5 P - 2a s
4a R + 80 R2 + 4a2V
; a T A, 3s
=4a R + 8uR f 4ae y id bB,   - B - 20 k + a vR - 5 p - 2a 5
42 R + 80X + 4a2i mO
mentum respectu bB, Sa = R = f ~R3 -8s = R = + a = sE: Momentum M.
aev; distancia Ceneri Bravitatis ab Aa, = 1 2e f. + 6a0k. - a P + av
=2 CR3 = 2 a 3 R + 2 a3 V
3a R F 60  + 3a0
3a + 60 + 340 id be.
P A R S S F CV N D A.
Fademgne in Vneulis Fisuram Sinnum Rectorum, ejulque partes spe. P
ctantibus; determinantur.
Nempe (retentis rmbolis ut prius;)
Ongula ari aciem habentis ra, Masnicudo SR. P: momentum re X
spectu ra, 3 R2; distauLiA CCHEri BTaVICaLIS D F0, 32 N
aP; momentum respectu PZ, vel Aa, = R2 P.
9~ i d F2, vel Aan
5
Aciemque habentis FF, vel Aa; Maenicudo, E R2 P; momeneumre-
N
spectuFa == R2P2: distantia Ceneri graritatis d 7a, 5P: Nomentum O
resrectu Aciei TuX, =RED2= 4 R; resrectu extremi oppositi, 4 R1;
distancia Ceneri sravicatis ab acie (ua, L P - 8 P.
TremO,
3
i 2b oppotico ex
Oneulae as i aciem habentisra; Magnicuclo, i. R2 P; monentum re. V.
spectu ro, 3 R; distantia Ceneri pravicatis d ra, 32s
C86BC
respectu
170.