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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 104, page id 824573315:0192
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DeSectionibus Conicis.
PRO, P. 47.
Paralletam rp, eidem diamerro occurrere in D: quare e (pro
Deer pareIet 2B) Pp. an= FO; _E PFOPEETCA PF =- DC: icem
propcer paralelas) rectam DD bilectam in p, Ficur O) Bileca
cur in r. Ovaerendum aurem eR, num cubri reperiri polsine pun-
eta D, D; que quidem sicubi inreniancur; constabie propoli
EIIM.
Subsictis ixienridoneis Cymbolis, cAo Pa D. PA = d. (ideo
O4io DErDEBCCd: PF= D(3- 5d) PD a2 = FO 8. (e18O
P2 - -DA F PP- d + B. d DD - -9. Cideog; DA pA = + DD =
a F e ut 9. eDC -- D(7 -+ DL- 3d +. 9
Fricisitur (propree Paraboloides cubicale per proP 45.
eA. D L:: PaC. P OC. hoc ett, d. d + 8 = g: : P
DOC.
at 4 =4 p
Icem (propeer similia eriangula) PF. Pa:: DG. DCd. HOC
Ctt, 3d. P: : 3d + g. 3d = 9
3d
P. DO
2 n d2 ut 27 d= 9F 0 d9 2 + c3
271
Ejulque cubus
dF e +9
Erso (vering; diridendo per p, e mulciplicando per 274)
exic 27d3 ut
in 27 d 9+ 9d92 + 93 =- 27 d = + 27 d 2 8 
27 d 9. Lc (Tublacis uerinq: xqualibus) 9d9 E +93-
2 7 d2 8. Cajas quidem aequacionis radixq. B vel ope COni
rectionis vel alio quoris modo reperiri pocerie, monstrabie
Qu2 ita Puneta D, Ed; (alcerum quidem lupra punctum p, alce-
ruo inFrA;) adeoq; provotuci vericatem.
Duo aurem pacto eiulmodiaquationes cubica resolvi pore-
runt, nenhrrsus loci est inquirere. Porest illud heri vel mecho.
do Carres: ana, vel juxca Viera exese sin numerolam, vel alia
signam alius quiris in posterum magis accommodacam invene-
ric, mechodo. Sufticic insticuco nostro ad eam aequationam rem
perduxisse, quae reram radicem negorio accommodam con-
LIBCaC.
AnalyEi peracta, Demonstracionem Ginchecicam sc licer im-
EIEUErC.
In Paraboloide cubicali Aa, diamcero AP, paraIlela duca-
rur an: per cujus punctum quodvis (inera paraboloides) 2
dUICBEME.