# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0199
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0199?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 115, page id 834940469:0199
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=199
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000199.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.76
# 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.

1
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B
s
a
PRO P. 63. E E E O R B M Aa
Ie currae cycloidis primaria lemisis CBA, eius ba(ISC. Cr,
acireulus genIEOE A F C basem cangens in puncto (+ a
diameero C A. dico curvam C BA duplam esse recta AC. AE
AII C quadracum, SIEque RgurA NIACLH ealIS NaTUTR, VE
ducta recta quacunque IM parallelarectae AI) racio AL
vel AC ad FM sic subduplicata racionis A F. ad AC: manite-
stur est ex huius 59 fguram inAnicam NACL. N esse duplam
quadrari AIL. C. per ti diamerri AC punctum quodlibet du.
cacur BM rectE AI Parallela creloidi de currae L. N occurrensi
in punctis B, M, Secans circulum de rectam II. re in Agurasiun-
GAnCUTReCtA A F, E C _ illis paraIIela DB, BH: Cx huius 8
patec BD eansere creloidem in puncto B ec BHI concingenti
esse perpendicularem. AF BF ad BFT ica FF ad L.C Ccu FA ad
AE, aEque ratiO AF ad AC duplicaca es racionis AF ad AF,
e ideo racio A F ad AC est duplicaca rationis BF ad BII,
sedratio AFad AC eA etiam duplicata rarionis AO ad FM,
aideove BF ad BFI ica AC Vel FK ad FM, Cumque SCMIDCF
Ita AIC, paFCE ex huIuS 2 rectam A C eNe ad curram ABC. IN
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P, 2