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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 931, page id 851387705:0951
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LLOP. ZXXII. DeCalculo Centri Cravitatis.
CD aHCaHCaS, Panctorum applicationis ad diametrum, a Cenero, quas iltie e de
cimus; (ex Semialaleuo cransverla, e diametro intercopta asGresataS SeU
2, +.  ) c V: 272 = Be: Ouarum ilague quadrata sumc, 1 72 +. = b.
(PONIIS Z prô diametro tran sversa, Z. Pro latere recto, de B pro ordinarim axpli-
cata ad hyperbora Mlamecrum.) Adeoque, (Propter L, L, quantitales pelmanen
resus) s sumiancur B,   e io a   13 27 3
ecc. manilestum est, quadtata illa, a Y = +. = B, ette, ut Duadrata aequalia, qua
constat.
ralis proprietas, (quaecunque Tuerie racio Biameter camreriae ad Lacus rectum.
draris arichmerice proporcionalium austa.. Oux ilaque cum sie Hyperbolae pene-
et quemeunique ad dial alscllu Laclant ordinauim applicatae;) Lemma
Esis praemistis; Incelligatur (Hg. 215.) Actes aca secta, AOO, in qua-
mod
cunque ab Ase Cylindrociet (corno conticiendi) diltancia, siui quocunque ob
liquo (adaxem illum) polica. Maniteltum est, per rectam illam AO O, cranSicu-
rum esse planum aliquod, uc O Aa cli (plano) parallelus sc CH lincrocidis axis Cs
Rectamque aliquam in eo plano axi parallelam, ut R a (nempe, ex parallelis
eam qua sicaxi proxima,) lineam contactus ete qua planum illud cangat Cytin-
drum, (Cylindrocidi inscripeum,) cujus AXis Cs; _ basiS ractius Ci A; (quae est
minima distantia aciei dolabrae, quancum opus sic continualx; ab AXC Cy lindri
seu Cylindrocidis Formandi. ) Sumptisque in Axe C SS, parcibus continue aequali
bus Ci5, 55, ecc. atque ad cum perpendicularibus CiA, d’a, ecc. crectisque icidem
ad planum C. A a perpendicularibus a O, aO, dec. Manifestum est, rectas, aO este
Ut F, 2, 3, ecc. numeros continue consequentes; carunique quadrata, ut quadrats
horum: EE propterea (proprer angulum s’aO rectum, rectasque a s inricem 
quales,) junctis omnibus Os, quadraca tarum este, ut quadraca numerorum illa
aequalibus quadratis aluld.
Adeoque; Si Forni ope, circa axem Cs (fig. 215.) describi incelgaHIIE III
Cylindioeide Circuli, quorum radii sinc ipta dO recta: Scctio per axem extii-
bebit ipsum sC AO (fi8. 214.) planum. Fruncurique Circulorum illorum ra-
diu planum complences, iplis sO, ueriulris Figurae, aequal6s. Nempe Si, in binis
Fiouris, Tumpeis cum A C aequalibus, cum aequalibus C s respectiris; lumantur aO
H8. 225. ip (IS C s f8. 214. respectiris aequales: Ouodtii, sumpto O A a fi8. 215
angulo semi recto; (qualis eltu in fig. 224. sCiM, quem cum axe conjugaco Cs
TaCIE A CyMPTOTA C. M:) Si rero alius sic angulus O A a quam lemirectus; EIli con-
eruet Hyperbolae quae limisens sadea angulum, s CM; Ut nempe Ci s f8. 2143
Constac itaque, non modo Cylusenoeides hujulmodi torno lormari posse cujus
lectio per axem sit hyperbola; se , qua lic data Tlyperbola Ouippe expo.
nacur LIy perbola AOO (fi8. 214.) Quaetibee, cujus Cenerum C, semi axis tranl-
verlus Ci A, axis conjusact Co,  liMt alymptoca; cui similem peracum lic
C_ CxMIDEIC. LIOC tantum CuTALLU exIE; nempe ut C. A fi8. 215. Ub aequalio
a H 13. L14. HIGHC ansuIS a AO A8, 215. ipsI S C M, AB. 2F4. (queM CUI
Bbbbbb2
LL). Unc relpectiris, aO H8. 215. aquales.
Asymprora Lacic axis conjuxatus) aqual 13.
Souc