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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 204, page id 1815201908:0261
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.91
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LR CY LVS.
C B laceta rrianguli producta concingere in B scemenca
Demonstratio.
Noutas A B C tam cum angulo AB F qudn
aticulo segmenci rehdui in eodem circulo
duobus rectis agualis estiigitur angulus relidur le
Smeti, angulo F B A Xqualis est: quia vCTO ADB,
AB C. Ccgmenca sunc similia adeoque de illorum
anruli aequales, eric angulus E B A limul cum an.
suloresmehei AD B duobusrectis aqualis: qua-
Fur angulo residui atcas Circuli ADB: vnde FC cundem
Aris duobus circulis ABC, SLF, oporreat extribere punctum
n per quoa la aluidare cireblos in similes parres.
Constructio ex demonstratio.
A Cca pet veriulque. Centra
RL recta AF, dividacur
iA C, veracio AG ad OB, AIC
eadem cum rarione A C adDB.
Dico punctum. C esso quod
quaericur. ducatur enim quaeuis
B CF occurrens perimeeris in
I_ HI: quoniam AC+ ad 6B,
eandem habec racionem quam
AC ad DL, exconstructione
CTIE A C ad C GI VEDF adD C.
ac proinde AC, ad GR VEF. C,
ad E I. _ CK ad GL VEKA
2dL F, id est BK ad L. F. de.
missis igicur perpendicularibus
KN. LM ad FB lincam, erit
simile criangulum K C DP, crIan.
BulO GM L. QUArC VEK C ad
GE, hoc cA AK ad F. L, id est
AC ad DF, ica cA KN, ad
LM; isicur BIL ad IF, estrE
AC ad D K, cum cadem pro.
portione dictene à ceneris qua
mtet Mrce. PCdIBICUE quo dimperacum tuic.
204
Dico AB
ADB, BFC
B circutum BF. C. Ouod erac demonstrandum.
Est hac conversa undecima huius.
continsic in B, re ex elementis parer. eodem modo octenditur A B contingere in
PRO POSTTIO LX
inter se sunc diameeri cixeulorum, quare similia segmenta lubcondune de circulossi.