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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 87, page id 826605435:0107
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D F CISSOTDE.
inracione rndiorum CI hoc est ad erune omnia momenea su-
perficierum illarum semicylindricarum, series a V
Dum a
Dum a
vel
Cujus seriei rario ad seriem aequalium, sc colligieur.
Ceries Va inverse ductain
series 1. a. aE.
FatIONCS 2 2X2 2X2Y4
2X2X4X6
at. Rc. dabie
2XZXAXOX8
9.GRLLGKZZKL3 OXLIXLZXIS GXTTXLZXIGX7, _C.
Adeoque cum series v’a in seriem v a inverse ducta (uE ex
inquilicione primum Facta collisitur) sIE uE = X 2 X 3 =.
20 6 8 TC
ad Y. liOc estuE 7 2d 64D; supplebimus incerjecta loca ad hanc
to:mam. Nempe seriesra inverse ducta in
series = .. F. Va. a. V a. a. V a. _c. dabic racio-
nes
2
2 9 242 9
2X274
7
+ 5
20- 64B 964+ OXII64B X2, OXITZ1364D 12 24 _c.
Momentum igitur superficierum omnium ex rectarum L L
circa C a Temiconvertione Factarum, in Suo scus hoc elt, solidi ex
Temiconvertione spatii Cissoidalis circa C a momentum in suo
Stu, respectu Ca rectae; elt, ad roridem A qualia, nempe momenta
cocidem superficierum, rectis C F aequalibus in distanciis C F
sericonversis factarum, in distaneia masima CUSPENTaTUM, UE
7
20 640
ad =, CivC uc 35 ad 32∞. Fst aucem magnieudo ad
maonicudinem, uE 5 ad 4 p (momentis urique planorum pro-
portionales:) Prgo distancia ad dictantia uc 7 ad 8: Nempe Ziltius
diltantia quam habet centrum gravitaris lemicirculi radio C F
delcripti ab ipso C: qux quidem non est toca CF recta, sed (pro-
Pcer curracuram semicircularem) illa ejus parS quae est ad TOTAIM
ue Diamerer ad Semiperipheriam.
Similicer, facta conversione circa F A, Pemicplindricae (u-
perficies rectis L Z delcriDEX TunE uE Va in N: D = a: (quippe
momentis rectarum proporcionaless) diltantiae vero centrorum
superticierum illarum sune ue radii convertionis, sive di-
Rancia D= a; ErgO Cuperficierum illarum MOmeDEa sUINE
NEV a, IN D = A. IBV:D i a. (IVC UED N a = V a in V: Da