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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)
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De Calculo Centri Cravitatis. Cap. V.
21C. 169, resrectu du no R. P, - 5 R=; respectu A a Eo R= P + S R; distantia
.
1.
d
Ceneri sravitatis a 5 u, 3P -
p; ab A0, 5 X f 2
Aciemque habentis sa; Magnitudo, EZ R2 - R3; momentum respectu
Aa 2 R+ = = R3 P; relrectu s un s R2 D2 - 2 R+; distancia Centri Bra-
vitatis ab A 0
BR2 = R 4
P = 4 k
 = 32 R2
4P = 26X: Momentum respecturam
ris R = P: = 5 R; distantia Ceneri Gravitatis d ra, -. P +5R =
P2 --76R2
22F- 128R
Aciemque habentis Aa; masnicudo, R.; momentum respectu S u, 2 R
==R3P; reSPeCtU Aa Z R3P =2 Ra: distantia CenEri graVItatIS d Su
2R = + P; ab A a 3~ = 2 R: MOMENEI LESpeCtU F on 1B R = P = = 5 R;
distantia Ceneri gravitatis a r a, sR +
226R
Ongulx aBo, aciem habentis ra; Magnicuclo, LC R2 F = 5VR; Momen-
cum respectu ra, 502 R2 + 55 v R; distantia Centri cravitatis
22
27g +2R + 45 ~: MOmeNEU respectu BO, SCFR; RCSPECtU A a,
dCR + 95V
ha  = = a 5R = 55= R + + a 5VR =  0 R + + a 5VR; distantia CCI-
R
R F 245V
2ek + 250
Aciemque habentis BV; Masnitudo, e R; MOMENEuM resPeCtU Aa
20 R = as R; resPeCtUBV, a N = 2vk; distantia Ceneri gravitatis
LVR as
2b Aa
-2c
Rantia Centri Gravitatis a r0, 5f.
Aciemque habencis A∞.; Masnituco, = cR = F aVR; MOMeNEUM RC
spectu Bo, 2V R3 = asR; relpectu Aa, = a R + 225R + a v R - 20R;
vK-asR
n
ek F ar; 2b Aa a -= 20 R = asR
distantia Ceneri gravitatis d Pu, -
ek + aq
NO.
mentum respectu ra, 58R F 3a50 R; distantia Centri oravitatis
d7 = R + 2452
-8 cR + 8a2
Adeoque in expositis Ongulis, cum quae figuram Sinuum Nerlorum,
cum quae Rguram Sinuum Rectorum, carumque partes spectant; de-
terminarimus cum Magnicudines et Momenta, cum et ipta StaVICALIS
Centra.
Ouxque de Ongulis dicta sunc, ad tolida conversione (perfecta vel
imperfecta) descripta, Facile cransterentur.
Ouodque in exposris factum est, ad alias portiones facile ampliabitur.
Ouxeque de Ongulis, Solidisque conversione factis, ex his Eguris oriun-
dis tradluntur; ad ea quae ex Prorractis Contractilre figuris similiter
oriuntur Facile accommocantur.
Et quxe de Solidis siguram Sinuum rectorum unius quadrantis cractun-
tur; eadem ad Solida Rouram Chordarum lemicirculi similirer respi-
cientia, transferentur.
ictriburis, (ut ad propotitiones praecedentes,) cum Semicirculo AD a, in
Sectores seu Priangula; cum Lirura Sinuum Vertorum A xa, in Ouadxili.
nea seu Parallelosramma, Sectoribus illis seu Friangulis correspondentia: Intet
ligatur, utrique intistere, Semiquadrantalis Ungula, aciem habens ra.
Ouarum quidem Ongularum, ea quae vel cori semicirculo, vel iplius sectori ut
Ba A, insictic; componi intellisacur ex intinicis nunero Ongulis teu Pyramidulis,
MIMILIS
d
O.
d
2.