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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 592, page id 1815201908:0649
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
# Lines: 62 recognised, mean confidence 0.77
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v P, d 
oeresioni. Ele 4016 FL
Demonstratio.
Vm enim exCoMLE. D ME, AD aquales sinc, icem
FM, LML Lquentur (co, quod FL Parallela Cic
alp  A,) Ociam DF, IF aquales crunei ductil
que aCcI AD A I cruncillae b diametri coniusa
cx, _ iuncta RC Parallela B A. FOTMCnEUE itaque
Paralletogramuta OO, S V, per lineas OFKV, 11O
KS aimpeocis palallelas. Similicer duetis A O, AO, _
LV, AS Formenteur parallelogramma ON, PC, RS
Duoniu AD, A F. diametri sunc coniusaLE, et
in FI _ R, proportionalicer divile, ve AD ad AV
ACFTD ad R_ d OOc parallelogrammum ad paral
lelooramum SV, ve MB parallelorrammum ad
Parallclogramtum MC: aequalia lunc aurem paralle.
Looramma M B, ALC (Ob AB, AC lincas aquales) a
qualia suncipitur de parallelooramma OO, SV. Simi
dicerxequalia olceuduncur parallelogramma P(, NO.
Parallelosrammis LS, TV: quae opcracio cum in in
sinicum conchcari possic, ve ablaca e sectore FIIOL
que maiora um amidio sectoris GIT FD xqualia uine
CI. IX L. Frette mer a Gales. Quod tui detonrandum.
-H1esI. IM a3etdB 1 cHBq
ue
5IT IOntCZ Z FIOI
e
et
AC almpeodiconusacarum lectionum DC, FG: Borat
auient Be, (F proporrionales L. C, KF, quae omnesatrmoro
eo AC aequidistent:
Dico BDIE concauum segmentum 5 aequari seZMentO ConCaVO
FRF. C
sit ilts
V
6. B
oblaris e sectOrE TK L F, quemaiora quoque lune dimidio sectoris LRL. P, constac
Demonstrati
r2. h2
Eilu∞ ASI SA at D R OF
id. tu
1c
DOnantur F. H C  _ MV.
P ipA AC aequidiltances: ex LM quiden
OCCUrEAEOP, L C producis in  e RR. cum
BIEUIT EaM EML. NR, quam FK, MN aequidi-
AenE, equalIR TUINELATCTA F R, NINS MF, NK.aC
proinde cum M F in C Pdiuisa Sic bitariam) a
qualia Cunc paralte camma ML, L A: vndea
sidua quoque patallelosrainma DY O, RR X
qualia sunc: (cum enim OC in FI, id est L. Pin
A, id cA OR in C dtn c Mallam, Coca pa
rallelosramma O A, R A incer SC Xquantur:) ca
dem de causi cum aequales quoque sinensectores
OFM O, F R CF, X GuaMA HBHCTCMOUA LCBMOL
ad MN:) lesmencumisitur BD IF, aquale es
Ces  LR = 6. 8uod fuis demonstraudum.
EA OPNM, ERL G: est aucem OP NM se
emencum, aequale; sesmento BDFK. (cutr BD
scadTF, VEG: L ad F K ex posicione, id. est OP
u    pe  pete ute tt tt  s e te te te  a  t et e t t  t et ta et q te  e e e  tt e a t e t  t  t e  t tet      t e e e  u it   a a 
P R C