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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 92, page id 824573315:0176
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De Sectionibus Conicis.
PR OD. 37
dumantur zurem in diametro verinq; a punctoh aequales re
CX HF  VSCd2
2. aC4; OrdInLEIM- PONANEUE DO, DO; re
Ctx OO OcCurrentes in O O. Adeoq; BISCCANEUEtam DD in
hC ver conttructionem) quam OO (propcer pacallelas)
in n.
Dico rectam DO (a recta Can bilectam in n) Hyperbola
inccripeam esse; hoc est, puncta O O esse in ipla tiyperbola
curra. Ouod hc peobacur.
Ouoniam sune (uE in AnalyA demonstravimuS) HF-
BC
VdZ
oc 3 ha =g+ de
hCSL HD) .- 342
=d +
00
+ VdCd2
∞3 ha =- Z 
152d2
de
2 3 ItEM D A C =- h A, + BD)
e
02 D2 = 2 + dc +  5C 2
et rectangu.
lum DA~Da = 8202 + 58, 2 Y SCd2  27 CN 5Cd2
d
vel C quia 52 F 58 = y
32 12+ 5E = = 29c~ 5Ed2
d2
: Frit DC C=
pro q ec q in analy E, substicuendo in Syneheli
5232
2
=DA = DA.
3Cd2
Cnempe
8e
Per 6 02 )
Tum (proxeer similia eriangula ) erie H F. Ha:: DO
DO. hoc CA, = . B: : 312,, s 12. 7d2, =C ~ N2 a2
6
od2
DO. ejuEq quadearum 3 d223 + AEd2 + 27 d2 V dsEd2 p
62 1 2
2 d9 F5c2 , 22CN SCdZ 1 2
6 12
Eed e cancundem est quadrarum ordinatim- applicatx puN
eoD Nam (propcer Hyverbolam) uc rectangulum HAHa,
ad rectangalum DA = Da; sic Hlaq quadeacum ordinacim- ap-
plicara puneto El, ad quarrum, quod erit quadeacum ordina
cint