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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 195, page id 1815201908:0252
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=252
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

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sula A
indon
Pertet
X.
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Clla
1c64B
ndenter
reus AB
nEesE
5
IRC
CIR C Y L Y S.
IRCVLORVM
L R S SF C V ND
De Anculorum es arcuum circularium comparatione.
PR OPOSFFIO L.
Irculum AB C, cuins diameter AB, ContingaE in A reCTa AF, in
qua alsumpto quonis puncto F, Bonatur F C continsens quidem
circulum in C, occurrens aurem diametro AB prorractae in D, iun-
ancurque C A.
Dicoangulum C F. A duplum este anguli C AD.
Demonstratio.
DET CENErUM P dIAMCTCF PONaTuE C C: Ouo-
niam ED circulum concingit in C, & C
diameter est, eric a angulus C CD rectus, adco-
que angulo F. AD aqualis. est aurem angulus
E. D A communis criangulis CFD, FD A: igieur
CFD angulo, angulus AF D aequalis est. sed
angulusb C FD duplus est anguli C AD, igi-
cur ex angulus AF. D, eiuldem C AD duplus
eM. Duod erac demonstrandum.
PROPOSITIO LI
Slumpris in perimerro AB C, cribus arcubus xqualibus, AB, BC,
CRCD, ducantur per duo guaedam puncta F, E, FeCtX AF, BF, C F, e
BE, C F, DF, occurrancque in C, H, I.
Dico angulos I, HI, C, inter se aequales esse.
Demonstratio.
DOnantur ex puncto H, reax F. R, Ll
B MI, quae aequidistene lincis AF, BP, CF.
eruncicaque anguli R B B, I. E C, ME D, X.
quales engulis L, FI, G; quia vero arcuS AB.
BC, CD Ponuntur aqualeS, _E AR, BL, CM
arcus aequancur arcui F F. ad eoque d inter se,
reliquiguoque arcusRB, L C, ND, ex anguli
RF B, LEC, MF. D illis insiltences xquales
sunc: quare de anguli L, F, C, Cuntinter (C x qua-
les. Duoderac demonstrandum.
1
cerriu
6b
PRO.