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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 928, page id 851387705:0948
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20
De Calculo Centri Cravitatis.
Cap. V.
porrionales; Spatiique (quod illae complent rectae) A a Oa portiones, proporcio.
nales respectiris Currx Cyeloidalis partibus quas illa complent particula: ut SB,
C. prop. 22. Ostensum est. Sed rectae V cfg. 286. Tunt peripheria circularis parri-
ciculis (continue sumpris) proportionales; spatiique quod illae complent rectae,
Poportionales respectiris peripheriae partibus quas illa complent particula: uES B.
FOp. T7. Ostentum elt.
TF. Etiam hoc addo. Spasii FEyperboliei, sive interioris sive exterioris, non
Quidem ipsum Crraricatis Cencrum sed Rectam in qua CA, seu Arem Sequilibrii,
exhibet posse, etiam si ienoretur. Plani maenitudo.
Fsto enim expotiia Hyperbolae FhV, Centrum A, axis AZ, vertex V, latus rectum
Cy axis tranlvertus T = 2 S, axes intercepti V D = D V d = a ordinarim applica-
ex HID = FI, hd = h, axis conjugatus A a, ad quem ordinatim applicatae IIa = R
hs =k, asimprocarum alteri A0 Parallela HIS =- B ad alteram AS = A appli-
cerur, et VO ad AO = F, et hS, H5: acque incellixarur SA ansulus rectus:
Sirque OS (= A- F.) =O
Sune (propier B = Y: a L. + = 23:) ordinacacum aelatem semiquadrata, seu
momenta respectu A D X, L L. a +  d2: e lPrOpteE Omn. d, = = D3, 
Omn. d, = , D,) simul omnia, seu Momencum rocius HV D respectu A _,
a X. D2 + D3
Tiem (propier L = V: S + = B:) ordinacarum ad axem conjugatum semiqua.
drata, seu momenta respectu A B, L 52 +  = B2; _ C Propter Omn. B, =
EH,) limul Omnia, seu cocius AV H a momencum respectu Aa, L S. TL. +
67 . Ouod ex (rorius AD FL a momento) : R= FZ = 2 52 LY + -, FY3
subductum, relinguic residui FI V D respectu A e momenium =, LP.
ErBO (proptex Distancias Momentis provortionales,) in DH, smpTa DC
quae sit ad AD, ut L L. D = + - = D. ad -, ZY, hoc Ct, 3EL2 D2 + 2L2 D
ad 4 Z 2 FF; erit in (juncta) AC, ipsius HL V D centrum Praricatis; Upote en-
jus puncta lingula in caratione diltane ab AD, A a.
Idem obtinebitur ope momenti ejuidem H V D respectu ASyMPEOL A5. F. A
(DeFSD. pTOP. 3E, Cap. 5.) ipsius OV HS respectu A0 momentum ABO. F.A
autem crianguli ASX (= E A2) respectu ejusdem Ao momentum 213; et iri-
anguli AOV momencum Z F. 3; potirisque IIZ (= L - B) = X, et DB (pa
rallela A5) = 7, adeoque HIDX = = XY, hujusque ab As diltancia centri sra
vicaris A- 5P, exie crianguli HD Xrespectu Ao momentum Z A XY = 3 XY
Fr5O