# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0249
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0249?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 192, page id 1815201908:0249
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=249
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000249.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.

 11
CTR CVLVS.
ad AC.
PROPOSTTIO XLII.
AEocirculo ABC, linea AC, quae non sitmaior diatmerro BB, ee
catione C ad HI, Oporreat aceram FC, circulo inlcribere, quxe X.
juiditer AC, ve quam C, dd tl, haber rarionem, habeat quoque F. F.
onstructio es aemonstrato.
DOnacur BD diameter normaliter ad
A C, RaEgnC VE EI ad C7, ica AC ad
TK: guxe in circulo A BC applicaca, di.
iidatur bifariam in puncto L; iunctaque
ML, AaC ReCtX M L aequalis M P, POn2.
CUEG; F P Fquae aequidistet AC; parecta.
ctum quod quarieur. nam rectae LB, IK
cumsineaque a centro remoex, incerle
Equales sunE.
OeOSTTIO ZLIII.
Ectam AB quxe non sic dia.
Llmeter, altera C D incerlecer
ad angulosrectos in F, VE DF ad
E C daram habeac rarionem P,
ad C.
Constructionem ex demonstrationem
huin invenies in libro nostro de ellips: quae
hic non ponendas iudico co quod ab elipst
planie sit dependensi
eaDAOSITIO. XLIV.
Puncto extra circulum dato, lineam
lcirculo immittere quX daEx SIEX qUA.
lisimodo ea diameero circulinon (ic maior.
Constructio es demonstratio.
eplicetur dare rectae A in circulo BCD X.
qualis BD; dein ex F centro delcribatur
alcer circellus, conringens BD. in II: Deinde
EUM OX F puncto daco POnaEuF F C, concingent
cundem circellum in C; Occurrens vero circulo
ABDC in R et C. DicO CK, Fore quaesirami
cum enim xequalicer DB, C R, distenE a CCHITOP
quia concinsune eundem circulum Et THI:)
aequales cuncincer (e: 2c proinde recta A, Equa.
dem poluimus C. K: quod tuir prxstandum.
PR O.
  te e t e   s  p 1e p 1 .   e 1   p 1 te    s . 1   et A  1. e  s s e    e. 1es 1  1. 1 te 1 1 1. 1 1 1. 1