# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0145
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0145?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 61, page id 824573315:0145
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=145
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000145.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.87
# 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.

PROP. 26.
DeSectionibus Conicis.
62
in ipsa Diametro intra Ellipsin jacere supponimus,
nempe intra oppositos vertices,) appello centrum.
F.llip sin anobis desinitam eundem esse cum ea quam defnit Apollonino,
(nihi quod nosetiam circulum, lca circuli Peripheriam, eader
voce includamus, quam exeludie ApoIonim) eodem FercPrO-
pressu demonstrari porest, quo lupra oftendimus Paraholam
moctram eandem eAcacq; illius.
Nempe, Fllips Apollonianx, Sectione Coni Factae (qua ab
Apollonio delcribicur D. 13. lib. 1. COm.) univerlaliter conren
nirc detinitionem noctram; jam probatum cA prOD. 13. a X6.
Elliphm a nobis definicam quamiliber (modo circulum sou Pe
ripheriam excipias, quam ceo sub cd roce comprehendo, con
era quam Apollonius) ica Cono aprari posse ue conditiones
eashabear quas postulat Fllipsis APolloniana; SC probatuE.
Exponatur E. liptis quae liber a nobis detinica, ac, cujus ordi
manim applicacarum quadrata (nE C= --Id - d. Dico hanc Con
mo ica aprari posse ue poctulatur.
Ducantur enim rectae Aa = 1, AS =h continenres angulum
aa quemcunq: acurum, (modo major sE complemento an-
Suli inclinationis in EIlip(c expotica, quem Faciune ordinacim.
3
viimmorum.
applicaCa