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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 38, page id 834940469:0122
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=122
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.89
# 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.

LBE mixrilineum LBDC FCL_ eidem circum scribatur mix
Eilineum LAC FCTIK ve eorum difterencia sic minor quam si
13 lu sincque punctis B, C, Cm K, evolucae puncta relaciua P, V, 27
12S.
7 e compleaneur rectangula OV, OT, 52,53, 473 46. recta
L.C est aequalis rectx S V ee curua A C cA maiorrect a OV, et
ideo Teaor circularis L. AC maior est dimidiorectanguli OV,
eodem modoprobatur sectore circularem LGF maiore c(.
sc dimidio rectanguli 52 e seaorem circularem LTIK maio-
13hu rem esse dimidiorect anguli 47, de ideo mixrilineum L. AC F
ius. CHIK maius esse dimidio OOVX2278, e proinde mulco ma-
ius quam dimidium evoluexe OP7 8 nempe a. deinde recta
ODecaequalis rectae LB e curva BD minor recta PT, e ideo
Tector circularis L. BD minor est dimidiorectanguli OT, co-
deinque modo demonstratur sectorem L C I minorem esse
dimidio rectonguli53 d lectorem L. C: I minorem esse dimi-
diorectanguli 40. a id eo mixtilineum L. BID C FGI minus Cst
dimidio rectilinei OPTV 3268. e proinde muleo minus
quam dimidium erolurx nempe aicridens isitur est quaruor
essequoncicares, nempe prima mixtilincum L BDCF C I,
secundas involuta LBK, cercisa, quarca mixcilineum L ACF
GTIK, quorum maxima de minima Cunt mixcilinea L AC F C+
HIKs LBD C FCI, harum erso differenciamaior erie quam
difterencia duarum reliquarum nempe a ee involuca LB R 3
quod esab surdums ponitur enim minor, nulla ergo est dit-
ferencia inter a ee involuram LBK, Cunc erso aquiles, quod
demonttrare oporruit.
P RO P. 17. Z HI E O R F M A.
Tc Fgura involura ABC; producatur recta A C de in eam
Ec perpendicularis recta BIL, Qua COTACAdEE CXEFACUT-
ram B C: dico rectam BRnon cRC minorem quam aXIS
tigura AB C erolucae: Sic si Ecriporelt minor prae d. ctO aXC)
Sicque axis ABurX ABC erolurae minor quam exceMUS AXIS
E9UTX