# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0053
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0053?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 33, page id 824573315:0053
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=53
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000053.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 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.

G AP. 10.
 sexsiciren.
nonnulla quibus sencentiam Cuam hac in re ConeMet, OuX 1
Cui FOrtan, DEONt ab IDIO DFOTETREUE, mInUE CaLIetACIRNE, CO-
mabor illa et explicare e conlumare, alieq; prove res culeric ad.
Jungere. Ouanquam non ienorem co difticilierem nistis inc
bicuram pirorinciam, quo minus distet aliercio probenda a
principio per le concedendo, quasi sui luce coenito. Oando c-
nim de hujulmodi propolicionibus, quae vel principia lunc rel
principiis proxima, oricur controrertia; difticilius rexeriiur
Mcdium quo probetur, quod sic ipta re probanda minus dutri-
um: cum camen nili ex praeconcessis  nocioribus nulla proce
dhac lesicima argumentario. Non camen ob hane desticulcatem
quicquam distidorem illam Catis Geomerrice demonstesndans
Fore.
10 Arsumentum desumam ex 10d3, quae est similium
Eeomencorum detinicio. Similia circuli scementa, sunt; quae aneuilos
capiunt aequales; ant, in quibus anculi sunt inter se aquales. Peleca
riustrinc urget, cadem anoloeia, et seementorum aneules aequales
cenlendos else non minus quam anculos in seemensis: HoC eA, qua
ratione anguli rectilinei ABC, aB, in similibus Ccgmencis
aequales sinc habendi; cadem
de angulosmistos FCA, P7 a,
Icem BAC, Bar, 2gualescci-
am habendos esse. Ouodc8o
quidem rerum cse nn du
bico. Nam nili peripheriae
ABC, aeB 7, candem tabe-
ane inclinacionem ad CuaS
TABEenCAS AC, aγ, BOn c-
runc ad illas similicer potux,
adcoq; ncq; Agurae siiles e-
runC. AC h eadem verobiqi
inclinacio, cum ee idem utron
biq. aneulus per det. 2191
liplant.
20 Sed, quoniam Fuclides in hac 10 d3 illud non pros de
angalis scemencorum, sed de angulis in scementis, verba Facic;
go inde pauldalicer arsumencum insticuam, ossempea cuiam
22C3, nempe, In circulo, qui in eodem sepnICxIo surI. aneulI
uni interse aeguales. Unde seguicur, angulum ABC concunderm
prorlus