# 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 40, page id 1047377675:0056
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.73
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

PROP. 18. ZH EORP M A.
VIEFsura enolura ACRQ, in qua sic ordinarim applicara
 adlibicum OI. deindemanence recta Ol involuatur A.
rura ACRQin Aguram involuram IBO P: dico lineam
BOD cadere incer lincam AOO d eius axem CR, icem lincas
AO Q. BOP, Ce inuicem ransere in puncto O. E Aeri porelt,
cadac lincaOP exrra lineam O( in punctoH: suppono cur
nam O2(quo propius ad O) colonsius distare ab axc lR, e
isicur NM perpendicularis recta in rectam 1O productum
cadic exera curuam ON, ee proinde recta NM (ex ancece.
dence) non et minor quam axistigure l0 Ncuolure. Sic in
cuolura ordinarim applicaca VSEqualis rectE IHI; manifestis
II
M
C
de
ev
id
BB
CC.
cur
Me
eCAguram OVSI eNe TO Ncuoluram, acque IN seuS V est
maior quam L.T, _ id eo SI est maior quam II, nempe axis A.
sure TOH cuolure maior quam M H, quod est ablurdum; et
proinde OP non cadic exera oq: eodem modo probatur Ot
non coincidere cum OB, cadic erso ineras quod demonttrare
oportuic.
de
DO
EP
dex
InU
du
C
Edt
8u
io
1