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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 313, page id 851387705:0333
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(hoc est Prramidoides seminum super communi bale, vertices ha-
bens Oppositos,) aequabitur illud cuneo cuidam bicuncato (nempe bi-
nas oppositas acies habenti, sed situ subcontrario ex quasi decustale
hoc est, corpori solido supex basi llanulat a bi etecto, alcicudi-
nem habenti super puncto A aequalem rectae AS, Sed aequabiliter de-
crescentem donec Cuper recta aB randem craneleat et nulla sit. FF
quidem sexmenca illius, Analosis scomentis hujus. AdeOque E MOIX
mentura.
Manitestum enim cst, quod, Si Cuneus ille vieuneatus (quem Caneum Fllipti.
cum liber appellare) Plano ad planum crianguli a B A recto (Licut _ AS (uPPO.
nicur ad idem planum recta esse seu perpendicularis) ubiris secetur secundum
rectam DB quae sit a B recta parallela, sectio illa praectabic rectansulum BDS,
cujus duo latera erune rectae a B parallela, reliquaque duo recta AS, totngue
reccangulum BDS in Cuneo, Analogo rectansulo BDS in Cono delignato
aequale eric: Adeoque rectanoula omnia B DS in cunco, aequalia erunt rectan-
sulis omnibus BDS in Ciono desirnatis, hoc est, omnibus quadraris DO; hoc
Cl Tocns Cnneus cori Pyramidocidi Bienlpidi aequalis erit, e quidem segmenta nu-
jus analosis segmentis illius. Ouod erat oltendendum. Ita tamen ut eadem re
cineacur alciendo Pyram
rius aque, cralca LuLSaneur.
Curicus aucem ille bicuneacus, (quem Ellipricum diximus) est Pramis lupet
bali a B A, alcicudinem habens AS, adeoque nOLX mensurX
Ouod autem de Pyramidocide Flliprico ex omnibus Ouadraris DO, dictum elt:
perinde raleret, si pro quadraris DO, subltimerentur quadrata OO (ordinarim
inicriptarum;) nili quod Pyramidocides hoc esser illius quadruptum
Cognita vero mentura Pyramidocidis F. Iiptici super bali quadrata, adeoque et
ratione quam habet ad Parallelepipedum luper cadem bali aeque altum: cognosce.
tur etiam ratio Conocideos Fllipriei (vel, uc dici Polet, Sphaeroeideos) ad Cylin-
drum Cuper eadem basi aeque altum; rel etiam Pyramidocideos Cuper quacunque
bali plana (puca criangulari, quinquangulari, _c. vel etiam currilinea, aut mi-
Ita,) ad Prilina super eactem basi aeque alcum: (s nempe pro omnibus quadraris
sublticancur coridem cireuli, triansula, alixre limiles tigurx.) Per Basin aucem
hic incelligo medium illud planum quod duobus illis sire egramidocidibus sire
AP, Secetur Plano dSB, etI d3BA cuneus F. Iipricus
Seomentum a BSt C L Hano super u Guuialeta
aBPP; ae veroLSanu p coms S.
leu ea Prilmale (Culleo epe delle it, aute
Cioroeidibus eIB BALS COIMIUIMIS.
EIt aurem Klliptieus ille (quem dicimus) cuncus, cu-
nei Parabolici sesmet. Si C Culello Parabolicus
sive Pgramis pet Ctatsats bal aBA; reliquum vero
Tacur Pyramis aBSP P, restabu Celo Elliprieus (ve
S
Pyramis) aSBA; cui aequale est Pyramidocides F Iipcicum
Sed et idem immediare colligi porest ex propolicionis pracedenis caleulo. Cum
enim