# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0106
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0106?run=74
# 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 22, page id 824573315:0106
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=106
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000106.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.92
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

De SectIonibus Conicis.
B, cranelcene rectae DB, adeog: 8 DO; 8 pro TriaCLU
Lovel etiam yperbola OVO vel O AO, prodibic linea re-
eta, ex una quidem parce terminata, ex reliqua vero intinica.
PROP. VITI
De Parabolâ, Dectione Coni factâ.
Parabola, Ouadrata Ordinacim- applicata
rum Cunt incercepeis Diametris proportionalia.
Vuadrata nempe ordinatim- applicatarum PO
DO, _EC. Tunt rectis PB, DB, _C. (in triangulo APB
Parallelis) proportionalia, (ad c0q; eC interceptis Dia-
metris, hoc elt, diametro.
rum Termentis inter iplas
ordinacim applicatase ver
ticeM INECTCCPEIS, PA,
LA, Ec.) aequalia quippe
rectangulis BP S, BVS, _ZC.
quae propter aequales l5,
DS, BC. (in Parallelogram-
MO APS) CunE aeque
alca, _ propterea Basibus
(PB, D B, _C.) ProportIO
nalia.
Adeogi ipsae ordinacim-
applicatae lunc in Cubdupli-
cata ratione Diametrorum interceptarum; nempe in
Cubduplicata ratione suorum quadratorum.
Si isitur ordinatim- applicatae quorlibet aequalibus
ab invicem distantiis sumantur; erunt earum quadra.
ta in continua progrestione arithmetica, (ut PateE
ex dictis adt PrOP. 2.)
Constabicisitur (Per PrOp. C.) Cemiparabola planum
adeog;e tocius Parabola) ex intiniris lateribus qua-
dracorum Arichmetice proportionalium.
DR OP. 8.