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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 69, page id 824573315:0153
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# Lines: 39 recognised, mean confidence 0.85
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DeSectionibus Conicis.
P R O P. X XZ.
De recta Fllip (n Conrincente.
Ecta Ellipln continsens in conjugatarum Di.
ametrorum aleeruerius Verrice, cum relique
quancumvis utraqi produeatur) nunquam
concurret, (utpore que ipsi parallela ett, ut modo o.
centum erat.) Duae vero Elliplin continsit recta, alibi
quam in conjugato vertice cum diametro (product3)
Concurret quidem. Punccum autem concurtus siC In-
GUITEMUSo
Suxponatur Tansens a F, occurrens in P, productae diame-
EEO EA, cui ordinatim axplicaca sIE Fa. Supponacur eriam u-
Biris Ordinacim-a∞BlicaCA DO,
Tangenei occurrens in T. Sicq:
centrum C; e Oppolici verices Aa3
quorum LurBOnaEUE A BunCtO F
propior, a remocior.
Dicanene aurem Cob commo-
diorem calculum) Pa-e, PA - d,
Aa - - 1, (1d e09; Fa - - 1 = d, EC = =1
=d,) EF = f, ED = a. (id eoq. DF
=a, DA - d. F 1,Da-- 1 - a F 4.)
Tum (quia quadraca ordinacinm
applicacarum unt rectangulis sex-
meneorum Diamerri- cranlverlx
proporcionalia, uc ottentum cA
DrOD, 28.) erit EANEA. DA KD2
:: Fag. DOg. hoc eA, 1d - d. 1d
ed  a  a + 1a + 2da
1d - d
0 = DO4.
com (proxcertimilia criangula) EF. Pa:: DF. DT. HOC
est
e
69
PRO150
na
+1a = 2