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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 13, page id 834940469:0021
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=21
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.88
# 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.

eROP. III. THEOREMA.
Dieo srianentum BA P, Ex Traxexium A BI P simit, ess
ad srapexium ABIP, Vt duplum trapezy ABtB
Ad pOtYEOnUM ABDLP.
Nancecedente demonstrarum est eraperia ABFP, ABIF
Cmul, esse ad duplum eraperii ABLE, Ccuc craperium
ABFP ad polygOnuM ABDLP: e permurando era
DCZIA ABFP, ABIE Simul. Cunc ad crapexium ABFP, reduq
plum craperii ABIe ad POIrSOnUM ABDLP. Se quoniam
erapexium AB F P, traperium ABIP a criangulum ABP
Tune concinue proportionalia; critrraperium ABIP adira-
Pexium ABFP, verriangulum ABP ad craperium ABIP: _
COMPOMENAO, VEEFaDCZIA ABIP, ABFP AInuL, ad craperium
ABEP, ica rriangulum ABP se craperium ABIP simuh ad era-
pexium ABIP: Craraurem, vecraperia ABIP, ABFP. CmuI, ad
craperium ABFP, ica duplum craperii ABIP ad polrsonum
ABDLP; disirur recriangulum ABP e craperium ABIP
Cimul, ad crapezium ABI e, ica duplum rrapezi A BLP ad
volroonum ABDLP, quod demonstrare oporiuic.
Producantur (sopus sIc) rectae AV, AL. lesmentum le:
cances in punctis F de O, de rectasBI, lP, in H ec M: deinde
unsancurrectx BF, FL, IO, OP, re compleatur polygonum
PROP, IV. TITEORF. M A.
Dicd oo LBF IOP esse medium proportionate
inter polyconum A BD L. P es trapezium
ABIF.
DLLOP.
 casus prima manifestum CM craperium AILP,
craperium A LOP _ criangulum A L P esses
COnei.