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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 303, page id 851387705:0323
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rOD. V
ON ICI
PRO P. VII.
De Coni-Sectione.
Ea Buucio guoris, ut a, in Prianguli VB  LCCom in-
intelligatur Plarum Pae al  ICa MMMILCTC, i aiqum CX P2-
sulo VBS exsittenti) perpendicularis, (adeoque d reliquos quos se-
cat circulos isti parallelos secet secundum rectas iplorum diamerris in
eodem criansulo exsistentibus perpendiculares, qua propterea et ipl
OO parallela crune; ut Ratim demonstrabitur:) communis Sectio
superticierum Coni, planique secantis (puta O AO,) Sectio. Conica vel
ConiSectio, dici sOlet; Ft quidem vel Parabola, vel FIlipsis, ret IIY-
verbola: Nempe Parabola, S recta sic ducta sit reliquo cruri paral-
lela, (adeoque nusquam ipsi, quantumris utrinquo produCatuE, OCCUF-
TenS,) uE AP: Fllipsis vero, M recta sic ducta ad erus oppositum ver-
Satu (adeoque ipsi, saltem producto, sic intra verticem occurtura,) ut
AF a: Fsyperbola denique E recta sic ducta ab opposito crure rece
datus ut AFE (quae ipitur ex concraria parte producta opposito cru-
In supra rerticem concinuato, occurret, puta in a.)
cedentis, e circa quod supponitur Conus formari) utroris Crure,
recta ducatur Friangulum sCCanS (DUtA AP, AF, AFI;) super quam
dum rectam OO, Jua sc illius circuli diametro puta BS, (in trian-
Punccum autem A Cont ecno re etut; a quidem A, an
(in Flliph ex TTyperbola) Vertices oppositi. Rectaeque AP, AF, AFI,
conisectionum Diametri, (nempe A P ParabOlR, AP EILIPSS, A FL
EIrperbola:) ip(aque A2 (FIlip sCos rel Frperbolarum) Diameter trans-
versa: (idem nempc planum quod Hrperbolam in uno aliquo cono
eHicit,