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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 924, page id 851387705:0944
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924
De Calculo Centri Cravitatis. Cap. V.
Fig. 323. Hg. 323. noruralis Fat CS A quanTumVIS producta, II GUa SMIIII Palles aequales
quorlibet (d, 58, 5a, ec. adeoque Cs, C8, C10, ecc. arithmetice proportion alo
e junctis d A, A A, _EC. qualeS PONanEE SO, AO, _C. RriE A0O curra FIy-
perbolica, cuslis Semiaxis cranlvertus C A, et C. A axiS conjugatUS; spatiumque
C. A Oa hyperbolicum complebunt rectae s0, ecc. ipsiss A aequales. LC cmo
Pramus in Praclatu De Curvarum Eoduvoes, iterumque mOL aet Pr O. 32. HUSIIS CapL
Fi8. 324. 2. Si Exponatur, H8. 324. A0O Parabola, cujus Axis interceptIS A _ D, AIL.
is V
jectum, rectaque axi transverso parallela clausiim. Puta, Si ExPOLII rectX C A
nacine appliCa DO, iag B en   e OcCUTaL M H; Cal Ealista i
vertice AET, = DO, dirisa utcunque in t; cui aequalis ponatur C. d a (Fx
323.) Similicer in s’dirisa; tiatque angulo D F O, aequalis C. a A, decerminans (in
recta ipsi C Sa normali) rectam C A; e junctis s A, A A, aquales PONantuESO.
AO, IpE C A parallela, tiacque (uc modo dictum cst) A0O Hyperbola, cujus
Semiaxis tranlversus CA; lEque alymptOt C.M M: FxIE, OT, (F15. 323.) spari-
um byperbolicum C∞O a, ad Co Mtrianculum; sic (F18. 324.) AOO curva pa-
rabolica, ad ejus axem intercextum AdD: Tremque, ut (illic) C s OA, ad C. dm;
sic Chic) A0 curva parabolica ad ejus axem A d; e sic ubique. Hoc demonstra-
mus in eodem De. Eodavoni Hactatu; icerumque hic monemus ad prop. 37. hujulce
Cap. V
3. Si convertione Parabolae AOD cirea Arem A D deteribatur Conocides
Parabolicum; ex convertione Rectanguli circum seripti AD O F circa cundem
axem deseribatur Cylindrus: Fric, Si momentum spatii Byperbolici CAO A, ac
momentum criansuli C LM, respectu ejusdem CA:; seu, ut erecta Dreula super
illudu ad Oneulam erectam aeque altam super hoc, quarum communis acies sit ea-
dem CA; seu, ut Solidum ex conversione illius, ad Solidum ex conversione hujus,
circa eandem C A; (sunc enim hxe rationes, exdem omnes;) Sic Conoeidis hujus
paraboliei supersicies curva, ad duos trientes superficiei curva Cylindri circum-
scripti. Vel etiam (PrOPTETCAOA = CAOD= AOD.) OE Momentum Re-
ctaneuli C. AOD minus momento Semibyperbola AOD, ad momentum Frian-
suh CAM, (respectu ejusdem C AD;) Sic est C ondeicis Bujus superficies Carva
ad duos crientes curvae supersiviei Cplindri circumscripei. Quod ibidem demon-
stramus, acque hic monemus ad proP. 3F. hujus Cap..
4 Sed; Poticis (uE SF, PrOB. 32. tujus Cap. V. ) AC = 5 = 3F, Latereque
+
recto = L, AD = a, DO = C B = B = Y =  2, AO =CD =0 = = 7
+ a = 5 f a = Y: s2 + = B2 = V: = 22 + = B2, aM = V = B 2 = B Y =:
Momentum Seri Byperbola AO D respectu recta C. AD (urpote Semiquadrata
omnium DO) est
27
d
=L; (Ouod, uc ibidem demonstracum, altiminus