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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 27, page id 834940469:0111
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=111
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000111.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

lOOramma ABGO, DEHIS, _E pTOdUCANEUFFCCtX AO, NIS, UE
concurranR i C dico rrapezium AD P B maius esse mixcili.
nCO ADLO) duCaTuF ECK paralela _ ae qualis reCtX A B; ma-
nifectum est erapezium ADEB eNC xe quale ErADCZIO AVMK,
icem de craperium A D MR maius esse crapezio AD L. O, dt
ideo mulcomaius mixcilineo ADL. O; Pdtet ergO, propolin
Lum nempetrapeZIUm ADEB maius ese mixcilineo ADL.O.
Producatur rectu DC: in C: dicorectilincum ABF. D C
minus esse mixcilineo A DSO ducaturrecta CF parallela
rectis AB, DDF, _ C R parallela rectis AO, DS: PAFCEFrapC-
2ium ABFC. CNe aequale EraPCZIO ACR Q d crapeZIum
CFFDdesse aequale crapezio CBL. I: e proinde rectilineum
ABEDC aequale cA recilinCO ACDL,RC, quod minus est
rectilineo ACD5G; ec ideo rectilincum ABFDC mulcomi-
nus est mixcilineo ADS qua demonstranda exanE.
P A O P. TI. X HI E O R F M A.
re spatium mixeilineum quodcunque ABKI comprehen.
aCum a curva BR, rect a AL e duabus rectis parallelis
BA. KI; AIEque curraM Y colisnacura, vi Csumpeo in curva
BK quoliber puncto C. ee ex eo ducta recta C F parallela re-
Cta AB, _E rCCtA CZ CUErAI BK CONEIBBCDEC TErmInATA a PC-
eta AI hi opus est, producta in L.) rect + iL Cemper (F aequi-
lis rectae C S parallelae rectxe AZ. e TerminaEa a CurUC Y M.
dico mixcilineum BIMX, comprehentum a CurrIS BIE, MZ,
_ reciSBY, RM, rectae A Z parallelis; elle aequalemixeili-
neoBA IK. Si non sune aegualias lic eorum difterencis X; ce
dividatur currilineum BKM Y a COErectIS CS, CP, RM, rect~
BY parallelis, re (ductis rectisOMI, OHI TR, Y Vo Paralle-
lis rectae AB) omnia parallellogrumma O N, JX, TV, limul
minora sine quam Z, hoc enim tieri porel ab indetenico p2-
rallelarum numero. ducancur subrendentes rectae BC, CC,
OK, e cangentes ippunctis B, C, Cn R, BD, DF, FL, LK: ma-
d, 
nitetum