# 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 87, page id 1047377675:0103
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=103
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000103.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.68
# 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.

sI
CM
OM
ill
1100
nOB
Plb
1O1
Bet
enit
det
EHI
Ct
applicacaM C
paraboli
amL
dimidiolacerisr
cexte
etI PaF
u
ReCtam MET tansencem in punceoMnormaliter (ccare. Oe
inde exdocerina parabolarum alrmpeocarum a Gresorio
UY dOnCC Ex
in NiC
IreM CurvaNI
que GAIrecca aequalis
im demonctracionibus
i Cc  LaGLE    x Ln d dat alnvbaatatnum t X  at aM 
ab0
B1b
1d
i
96a
C1
Ae
ect
10t
C
16
Ia
DBK; esle esempiocas; _ ideo (ex eadem docerina)
quadratum recrae CFHI eA aequale quadraris recearum C3M,
AF, hoc eK, quadraeis recrarum CM, CII; illis aurem qua
dratis ae quale eA quadraTuM reCEA M EI; recca igieur HIM,
CsHI, Cuneaquales: cumque hoc sempertiac in omnibus pun-
ceis curux parabolicae AMC; manifectum est ex huius 3 (c5.
mencum porabolicum AF. K B eNe aequale superficieitrunci
Luper curuA AMC Sccta a planO per rectam A B cran(cunTE,
de in angulo semirecro cum parsbola cu base crunciinclina. 25
Cei de isicur cum quadratum resrae X sic duplum superticiei huiues
Erum.