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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 12, page id 834940469:0020
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=20
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.88
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Dellucatur teca L scotencum cangens in punco lule-
YBOmUM ABDLB.
etisBF, PF, occurrens in punctis D, L, ita ve complearur po-
PROP. II THIEOREMA.
DICO FTAPEZIA ABFP. ABIP simul, esse ad duplum trapexi
ABLP, BICHETraPCxIUM ABFP ad polyconum
ABDL. P.
Toniam recta AF, ducta per contactum rectae DL. cum
leomento, ducicur etiam per concursum duarum re-
ctarum FB, FP, rectam DL terminancium e leg.
mencum in duobus punctiscanseneium; igitur recta DL. bi.
tariam secacur in puncto I; e proinderriangulum FDlequa.
lceseriangulo FIL, aceriansulum ABF aequale est erIAM-
sulo A PF; ee isicur trapeZIum ABDL aequale cA craperio
APLL; craperium ergo APL. I dimidium cA polrsoni AB
DLP. ducacur recta AL: manitectum est ex praecedenris ne-
monstracione trianoulum AIL esse aequale criangulo ALPL
sed recriangulum A L. F ad erian gulun A L I IEA F A ad AI,
_EVETA ad AI ICL ErAPOZIAM ABFP ad ETAPCZIUM ABIP; de
igicur vecrapezium AB F P ad erapCZIUM ABIP; ita crian
oulum ALF adrriangulum AII; ec componendo, verrape-
ZId ABF P, ABIP LIMUI, ad ErApCZIUM ABIP, ita crianou.
lum AIL X crianSuum AII. SimuI, hoc elteriaNgULUM AFP.
ad triangulum AIL: de consequentes duplicando, verrape-
ZId ABF P, A BI P CmuL, ad duplum eFaPCEII ABLP, ica
TrianBUIOM AFP, ad craperium AILP: ac criangulum AF. p
eRdmidium erapezii ABFP, decrapexium AILP est dimi.
dium polr goni ABDLP, _ IBIEIIE VETEaPCZIA ABEP, ABIP
simul, ad duplum crapezii ABIP, ita craperium ABF P ad
eolrgonum ABDLP, quod demonstrate oportuit.
eRD)