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# Title: Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets (shelfmark Leibn. Marg. 43:3)
# Folio 263, page id 82327652X:0291
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=82327652X&page=291
# Source image: https://digitale-sammlungen.gwlb.de/content/82327652X/jpgs/default/00000291.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine
# Lines: 20 recognised, mean confidence 0.92
# 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.

DF MIE DESCARTFS.
263
recta DI minor elt radio MN; Paceceriam rectam N V
minorem esse recta YO, cum recta NI S sic minor recta 
cructione oem cnescua iIC; quia
D. FIis posiris, quadracum rectxe M R aquaeur quadraco
radii MI YI, quadracorectae NI R ec rectangulo (ub D N in
NYRbis, ex Fuclide; Sed cum sic ex constructione, vtMN
2d D N, ica N R ad N O; Ergorectangulum sub M N in
NOxquacur rectangulo Tub D N in NR; Ideoquerectan-
gulum (ub M N in N O, bis aequatur rectansulo (ub D N
in N R bis. Ouadracum isitur rectae M R aquacur quadra-
eis M N XE H R ec rectangulo sub M N in N Obis. Ou2:
dracum aurem recta N R eA majus quadraco rectxe NO
cum recta NY R Sc major recta N O. Ergo quadrarum recta
M R eAt majus quadraris rectarum MI N, N O, X rectan-
gulo sub M N in N O, bis. AC haeC duo quadrAEA M N.
N O, vna cum rectangulo sub NI N in N O, bis, TUBE
aequalia quadraro quod sc ab M NF, N O eanquam ab una
rectâ; Ergo recta MR est major cumma duarum rectarum