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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 32, page id 1047377675:0048
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=48
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.78
# 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.

as lectilinei ABFOLI, e proinde mulrominor eric angulo
inrolutionis rectanguli ABRI, nepe NT, supponimus enim
lectorem q NT esse rectangulum ABXT involurum: denique
eodem lemper modo demontratur, quod, quominus dit.
Cert rectilineum inseriprum a figura ABMI, eo semper maior
sic excessus anguli z NT supra angulum inrolurionis rectili-
neiie ideo mulco excedit ansulus zNT ipsius AgurA ABMI
aneulum involucionis  N X, de proinde hgurx crolura axis
AL leuarcus zE excedic arcum PT, quod demonstrandum
Crat.
Sit secundo ex cenero inrolurionis Narcus circuli OZ: di-
coarcum OZ maiorem esse recta A L neNBC AXC AGUTK PHX
evolurxe. ducacur recta M D Parallela ee aequalis recta AI
ee producatur AB in D, sicque rectangulum ad libicum
AC. OB3 (uERgurE ABMI circum scribatur rectilincum AC C
TIMI, quod involratur, crit eius angulus involutionis maior
ansulo inrolutionis rectanguli A D MI, hoc aurem ita inno-
celcie, rectilineum ACCHIMI involurum idem est cum in-
voluto rectangulo EHMI una cum involuco rectangulo
ACCF, de rectangulum A ed M I involurum idem eR cum
priore involucore ctangulo F.FLML rna cum inrolurorectan.
sulo
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dn
ie
s10
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AXC
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