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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 759, page id 851387705:0779
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PFOD. XVII. De Calculo Centri Cravitatis.
ideoque a F A, 3 R +. -
=; ejulque respectu P A momencum C vet correlpon. 1go
dens Ongula) Za R2 = 25 R= L ZSB R. Et consequenter, Solidum ejusdem circa
ra convertione factum, Za RP = 25 RP = = sBP; e Semitolidum, Pa R∞
ESRZ = BSBD: Ft, CIrCa F A, Solidum Za RP = Zs RP  a sBP; e Seuii-
Tolidum, Za R P - Z5 RF = 3 SBF
Si vero ex momento Ouadrilinei BBa A, respectu + a, vel Y A; auteratur mo-
mencum Parallelogrammi BB Ba; habebitur (respectu carundem r a Y A, ) mo-
mentum Segmenci ABB.
Est aucem Paralleloerammi BBBa (PFOPEEE Ba = a E BB = B) magnieido
aB; e (proxter Ceneri gravicatis a ra dictantiam = B, adeoque d Y A, 2 _ = Z B,
momencum respectu +a, Z aB2 = 2 a R3 = 2 a V R + Z a v = 2 a R.- a v R-
2a52; e respectu TA, 2 aB R = = a B 2 = 2 a R 2 = = a 2 2 = 2 a R = a V R +
52
adeoque (subductione Facta) Segmenti BBA, momencum respectu ra (vel
correspondens Ungula Semiquacrantalis,) = Za R =  Z5 R=  a V R =  5V R +
EaS2 = - = C R= + aV R = = sV R  = a 5 2 = 2f R2  = 5B R = 3 a b respectu
TA, - 3 a R2 + 2 5 R3 + aV R + 2 5VR = Z a 5 = E fR2- 2 aB R -  5 BA
F= a B. Ec (propier magniudinem, = a R + s R F av,) diltancia Ceniti sravica.
ris Scemenei AbB, d = a, = R.
ZR - B
foR- 2a52
4c R + 4a0
fvk 2a5
4e  + 4a2 i a Z A, 3 R +
fok - 245
4e R F 4aV
bV
3R + v -- suR-245.
gese t quo: Adcoque momencum re
spectu BV, 2a X2 = 25 R  + 35V R = 1 a S = Ze R +. 25~ R = 3 a 52. EL spC.
ciacim, Scomenci A d C. momentum respectu DC (PTOPtEF a = +P, e s V= R,
R = P: Ejusque Cencri gravicatis 3 DC distancia, 16F. (Vel criam, ex Triliner
ABB momento respectu ra lubducto quod Hc ex magnieudine in a V  B, nempe
abA = sh R F a bV = - 2a R + 25 R f a V R = 5V R + as; tabecur TEi
linei ABB momencum respectu b V vet Semiquacrantalis Oneula, Z a N  = 2 sR
+250R = 245 = =e R + 35V R = 54 5 ; ut priUS.)
Adeoque Solidum ejusdem A b B convertione circa ra factum, est,  ZCRP +
avF = 2 5vZ + = X; circa F A, = 2G R P + a v P + 3 5vP
ca bY, de PP + 350, X   Ex terpiloliea, temises horum.
2 R; dt cir.
Elabencur aucem eotibneem Platiotiimi; Momenca respectu Aa, vel Senriqus.
drancales, Ongulae aciem habeptes Aa per prop. 18. Cap. 3. Vel PFOD. 22. CaB. 4.
vel prop. 10. hujus.
Si enim rectae omnes 43, 25, _c, complentes A ra Frilineum, Cvel minua
quae his reptasentatieur, paralle logranma, Prilineum illud complentia, J ducancur
in Tuas ab A a dictancas aE, a 6, dc. rel in his aqua les E =, 66, _c. (eridmentum
arE complentes;) Hlabetur Semiquadrancalis Ongula crilineo A r a intistetis, acjem
habens, Aa. Ouamm ueigne complent, I(d XE  ZC a _C. CCH XE Z, L. 66, dc
Paralleloxramma (sel mitrita Priltrrata) EptIS XE, Z C, _c. (rectis, Peur mnutis
parallelosrammis) insilteneia. Hoc es; omnia aB, lacta ex arcubus aricknerice
proportionalibus in reliduorum ad Temiperipheriam tinus versos ductis.
Auc etiam; C incellisacur R a in Paeces invicem aequales, in punctis Z, D, _c.
diridis (adeoque rectas ZZ, D d, ec hoc elt aC, a5, _c. repraesentare Hon qui-
dem arcus arichmerice proportionales, sed qui selpondene Ginybus vertis AV, AC
Rc. arichimetice proportionalibus, puta AZ, AD, aC. HS. 169. adeoque FrMinC
um A Ta consideretur non tam uE Ficurq Sinuum Persorum arcubus arictCLICC
provortionatibus convenientium, ips Aa Paralletorum etam ue feura Meuum
in rectas expansorum, Tinabus vetts alictimetice proportionatibus conremencrum
ipsi ar parallelarum:) eandem Ongulam comiplebine Rrebum iNIOrUM Semigia
drata, seu Frianouta Citoem 7 Z, D d, ec. mhltentia; iosio scilicer a b Cy ast A
de. tmulia caquaa. Hsoc ei duorur a taita veneome prororione
1b16.
151. 715O
C
e