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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 265, page id 82327652X:0293
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=82327652X&page=293
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.
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# After the first blank line: the recognised lines in reading order, one per line.

DE NI DESCARFF S.
265
major summa rectarum INT, NTI. FIAE VE SUPPA, VE M NF
radius ad D N, ita R N ad N O; EE vED NTad N S, ita NO
adNV; Parer rectam R N esse majorem rect a NY O, rectam
veroNOesemajorem recta N V; Guadratum M R xqua-
tur quadraris MI N, NTR mulctaris rectangulo D NI R biS,
sive ex superiori ratiocinio rectangulo M NO bis. Cum
aurem quadratum NY R sic majus quadrato NO; Ergo
quadracum MR cric majus guadratis MINT, NO, mulctaris
rectanguloMNO, bis. Sed quadrata M N, NO mulctara
rectangulo MI N O, bis, aequatur quadrato rectX M O.
Ergo quadrarum rectae M R quadrato recta M O majus
erie; Tdeoque recta M R criceriam majorrectâ M O. Cum
aurem sE ex constructione ve D NY ad NS, ita M Nad INI.
_ Ita N O adNV; ErgOVEM NadINica erit N O ad
NVV, _ vicisti rE MN ad N O ica erit I N ad NV; EE
diuidendo re M O ad ON ica IV ad V N, e vicissim ve
MIO adTV ita ONTadNV, sive D NT ad N S, SIHC MR
ad R P. PrObATUM CstAUEeI MI R ipsa M OesC majorem;
PrgOPR rect a IV majorerit. Superest ergo probandum,
(ve ex omni parce constet propolicum) rectam R II esse
majorem Cumma duarum rectarum II N ec N V, quod ex
praedictis est Facillimum. Ouadratum enim R II aquatue
quadraris IIN, N R una cum rectangulo (ub S N in NR
bis, sive ex praedemonstraris rna cum rectangulo sub JIN
in NV bis. Ouadracum aurem N R est majus quadracoN
V; Ergo quadratum FI R majus est quadraris FIN, NV.
rna cum rectangulo ub II N in NV bis. Vnde lequieur
rectam R FI ex superius demonstraris esse majorem summâ
rectarum II N, N V. Patee Teaque rectas PR, R FI, CuC
unicam rectam P R HI, (quando id continsit) esse semper
majores duadus rectis LNI, NY HI. Ouod erat demon
strandum.
Fome III.