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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 593, page id 1815201908:0650
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=650
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.76
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AY P E RBO L A.
PROBOSITIO CXXII
IIdem pOrCL, LUHSANEE DE, FO.
DICOIESMEnEA COnHexADF, F. C quoqueincer le aquat
LDemon Stratio. 21. 2 L 3 23VIRG F. 1SL e115. 1
VeacUErecta AIO, CTIEISIEUTSCSMENEUM a O F M X quale sesmOnEO F G: Sed a MB. Bm
OFM Segmenco aequale est b segmentum DOF, (quia DBIF, OPNN
ius
b106. n
leomenca concaua ostenta sune aequalia in priori peopol.) seemencumisicur DOl imc
aquale c lez CnIO F,C. QVOd craC demonttcandum.
eROPOSITIO CXXIII
NInE ABC, DE F Seomenta quauis equalia, coniugacarum lectio-
anum ABC, D E F; e diuidantur rectae AC, DF, bitariam, per
diametros IC, III:
Dico LB ad B C eamdem habere rarionem, quam IF ad F. HI.
Demonstratio.
Vatis DK X FL qua asymproco 1O aequidistent
IGHOACUE R L; SEOMENEUM IGIEUE RNTL aquale cel
lermenco D F F, id est per hypochesim segmeniO ABC
vnde I. K diuisa in. MI bitariam per diamerrum TMI, crunc
GT, MI diameeri proporrionalicer à sectione divise. Scd
de TFI quoque in F d dinila, ve TM in N, proporriona-
licerisicur divilx sunc diametri, PG, TII. Qugd fuic de
monstrandum. tr rit: de ii
1
ime ROEOSFFIOLONXI
Z1V
PINE AC) AP coniuoatarum sectionu
curique diamerri, proportionalirer divila:
AC quidem in D e B, VE A F secta CA IH F, e C.
porancur aurem in veraque sectione,
perdivilionum puncta, ordinarim lince
LH, IFL, OP, MN:
Dico seomencum L CK, equari sc.
mencoOF P, _ HIC. laequari seomen.
EONFMM.
teistes
Demonstratio.
Bcolo AO, iunsancu AV, ST, qua bi
(unC crISIBALIS AC, M, AFO) id est ex hy-
Seomeca ioltur LC R. HlCIaequalia suncico
memis OE P, NIP. M. Quod tuic demostrandu.
Ar
DOliciSMT, OV, R P. N SPalatelS aly
Tariam lecentur in L a X, per diameerum
aquaL ee Z ama Cm, He at n fi
se C (quia ATZ, A V Y criangula aequalia
Pochch, c AC in D de B. GualC a seen-
Ld legmenco lCH a. Gudlc. Sed de sc.
SMENEO RZ V, aequale eAt OF P Fsexmen-
cum, a TZ S aquaK CHICBMEnCUM MF NI.
eng. huins
d
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