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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 22, page id 834940469:0106
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=106
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000106.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.84
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

3c36223+f 3c3b230--C, 23023 8 quancirates reiiciendo in quibus
reperituro vel ejus pocestas, reCtanE = 3b2c3 a Z2 - 3b353Z2
2C3ab23 = 3c3b2233 ee ubique defectus addendo ee omnie
dividendo per c b22; aequacio cA 3barF 3b2= 2a217. 3bZ, ec
idc02 = 3ba F 3b nempe recta FL, qua invenienda Crat,
a2 1 3b
tui
115
D. PROBLEMA
TE CUEDA A DTM CnInSaxIS AL, Reque alIA CUIrUA AFK
D eius naEuEX, uC ductr recta qua cunque HI IK, re-
Ax AL. perpendicularis curra AISIE ad rectam IK uF D ad O.
oporcet ducere rectum eangentem curvam A F IO in pun-
etoKE: ducatur recta BIEaNSeNS CUrraM AD IM in punctor
Chocenim heriposse suoponimus) lirque rects lB aequalis
CUIrVa A I_ dUCAEUE ReCt+BR, quam dico EAHOere CUrVIm
A F K O in pUNCtOK: S eam nON FanSAE, Cadat inera, CEque
punctum C inera curram versus vercicem, e dueaeur rectx
AEII PATAHLeMA G7F E D C. manifectum CHt LIE eNC ad F. C WE
IB ad E B, e per convertionem rationis II eAt ad differen-
tIaM INEeF LK _E F C UEIB ad LE eC perMUTANdO UE TR ad TB
(cuTa curram, hoc est uc Jad P, ita differeneia inter IR et L Cx
2d FI, aEque uE Qad P ITAD F ad D A currI; _ id eO uF IR ad
TA curuLin icL D FadD A curram a permutandO uE TK 3d
DE itATA curuA Ad D A curvam, e per convertionem F2-
eionis, uE TK ad diferCNEIAM iNteE TK _ D L iea CUEVA
Ia seu recta IB ad curram IB; ac differentia inTer IR _ F C
maior es differentia incer TK X I L, quoniam punctum
supponitur cadere inera curram; ee proinde IK minorem
habet rationem ad excestum supra tC quam ad excelsum
supra DF; S ideo IB eA ad IE in minore racione quam ad DI
estisitur TE maior quam DI, quod eA ablurdum, non eroo
CAdIEFECTA BK InETa CurvaM A FK O versus verricem: CadaE
inera (sitieri porest) versus balem nempe producta in pun-
EtC