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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 200, page id 1815201908:0257
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
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27. buia.
8 25. Purins.
EIR CY LVS.
Ouod si rectA DF demiceaneur nOrmA:
licer ad balim AC, SC oltenderur propol.
Cum: cum D P sinc aequidistantes AB, igi
cur anguli B AD, A D F, aquales lUNE:prO-
indegi cu de anguli A P B. AF D, recti linE,
Sinilia sune d aequalia criangula ABF.
AD F, X lacera aequalibus angulis lubrenla.
Duoatuir demonstrandum.
EROPOSITIO LVIII.
DEr duorum circulorum parallelo.
rum BDF, CFO CEnEruM A
Dico circulum radio B C deletiprum aequalem esse annulo duabus
circumterenesShlelceplo.
Demonstratio.
Veatur AB, be AB quadeatum, ad
duo guadrata BC. CR, ita circulus
aD BF, 2d circulos HIBC, CF C; sed
AB quadracum xquale est quadraris AC.
CB. isicur d circulus D BF aequalis est
circulis TTBO, CFC, Smul Cumpeis. ab.
lato isicur communi circulo CLC, re-
manebic annulus perimeeris x quidistan-
eium circulorum intercepeus, circulo
BHC aequalis: quod tuic demonstran.
dutm.
5
IA
ribus descripea, limisIa tuM
inneta cBL uasccam et
E punctum commune peri.
Pheriis circuloru FF, BFC1
a diamelro interlecatur.
acta diaerro DC E ponatur C. B continsens minorem à puncto quo
 dnotecim
2.t
P R OPOSIITO LIX
cuantur, centroque cireuli, qui laper bali exstructus est, circulus de
Vpertrianguli ABC, laceribus segmenta circulorum similia consti
seribacur qui alcerurrum circulorum AC. B, BFC. concinsat.
Demonstratio.
VEaNCAE CxD, Per HIa
GCerra circulOrU A B B,
DEC FCCtR DF, DF: e
circulus ED radio descri
pruscontingar circulu ABB
in R; igitur reCtA D FTR Pet
id il cencra  HLClaensd
curree, veclesdle in b, puncto
conractus E. quia vero se
ementa supet clat li late
ips F B; vnde cum DB.
a D F lince sinc equales, erit
Dico quod d tercium quo que concinsel.
ui    s   au u e taeo se ut   ut u at e eue e u us ee ste e sie et e se       .  e i ee e et e  e  s pri il s