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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 56, page id 824573315:0140
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.80
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De Sectionibus conieis.
a LL. 240
secatur i P, etib ldco e OO Cpropcer parallelas) bilecta
Ir 
Lccuat U ollendam rectam illam 0 (bilectam in ~) la
rabola inseripcam esse, (ut ax recta bilecans lIE dIaMCEeF,) HOC
e puncta OO ee in Paradolm Cvera. Ouod sic probatur.
EA DA =- DA +DP = dtg. DA = Da -+ PD = at8 + 2Y de
pC- PF = 2d. DC - DC + D- 20 +  de
Tum (propcer parabolam) ucPA, ad B A; EC Paq qua
dracum ordinatim applicaca ponto P, ad quatra-
cum ordinacim applcarae puncto D: hoc ett d. d + B
 2 N d8:: p at3 + 2V.5
d
s
Quod isicur eAt quadratum ox-
dinatim- applicatx puncto D.
Sed _ cantundem est quad atum rectxe BO. Nam (prOPECE
similia eriangula) PF Pa:: DO. DO hoc est, 2d p: : 20 32V de.
2d + 2V de
2d P- DO. Ejulq; gadratu DO9-
ate +2a de
e
1. 2F 1de + 8dV B
Eisitur quadratum rectae DO aequale quadraro ordinarim
applicat