# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0156
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0156?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 72, page id 824573315:0156
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=156
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000156.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.89
# 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 Sectionions Conieiso
PROP. ZXXI
De Ellipseos Diamerris.
a Puncio quoris a in Ellipseos curra Aa, duca-
tur ad Cenerum C recta aC; erit haec ejusdem
Mllipleos diameter, cujus vertexa, ejulqu Or
dinatim- applicatae rectae ixii a F, elliptm in puncto
contingentis parallela.
Libechanc proxositionem (ut prius proD. 24.) primo An-
cH, PFOP. 29.)
lyrice examinare, deinde _ Syntheri
ce demonstrare.
Supponamus isitur rem esse uE per-
hibetur; adcoq; inCcriptam quamlibet
OOcangenci aE parallelam, a recta
aCs (per contactum D centrum tran
Ccunte) bilectam in E. Sincq; rect
OD, OD, aF diametro AF ordina-
cim applicacae, adeoq; inricem paralo
delaes quibus etiam parallela aucacue
EC eidem diamerro in c OcCUrrene,
dua proxeerea (ob parallelas) bile
cabic (nEOO in E, SIC) DD in C. DC.
BIg; reCca OO, diamCErO AF, (urrilgs
s opus cA produecis,) Occurrat in 6.
(Salcem ( Parallela tic, uc non polsit
Occurrere; res ipta jam demonstrata
Supponemus etiam inpeaelentiarum, verricum A a C diame-
ErI AE,) verticem A propiorem, a remotiorem, PunEtOF: 1-
tem punctum e intra puncta a C incidere: rectamq: O0 dia-
MetrO AE. producta exera FIlipEin occurrere: Si aurem horum
alicui contrarium continsar (quod quidem heri poreAt) nihilo
Eomen MiNUS res succedet, mucatis cancum aliquories signis
quod operationis progressum neuciquam curbabic.
Dicantur aurem (oh commodiorem calculum) Fa = C, EA
=B
DROP. 320