# Leibniz Legible — https://leibnizlegible.com
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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 99, page id 1047377675:0115
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=115
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000115.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.79
# 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.

ist
11
31
1b
O
D.
et
duccam secans in L. deinde lemi hyperbola DKL. AaE ae qua
le quadrarum, cuius diamerer X: dico X enc radium circule
quaelci. Ex quolibet curua parabolica puncco B in axem
demictacur PerI
dicula
risrecta FF, quae produecahyper-
bolam incersecet in puncro C; sicque parabolam tangens in
puncto F recta FA tangenei D B occurrensin C de ani pro-
lis GFaxIS COnISAFUS) HaChyperBOL DC L FCCFAM LK PrO:
ducroin A, Stque CFI aequalis d paralelAreCTEDF. MAnI.
Fenum eA F A duplam ese recra D A, _ id eo F F est dupla
rectae CD, est eroo FH equalis recrae HI F. recrangulum R F
in F.D est aequale GVadrAEOrCCEK DF vna cum reccangulOR
BF, acque reccangulum ROF aequale eA quadrarO F H quo.
niam R D est quorea pars laceris recri; e ideo quadracum
recra C F (quod aequale eM quadracisrecearum E HI, HC=
DF) aequale eRreceanguloRF in FD, sed quadtaTUM reCEK
FC eidem recransulo est aequale, _ proinde reCTE L C, FC
insex se sune aequales, cumque hoc semper hiac, paret ex hu-
2 Iud