# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/82327652X:0505
# Permalink to this reading: https://leibnizlegible.com/page/82327652X:0505?run=74
# 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 477, page id 82327652X:0505
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=82327652X&page=505
# Source image: https://digitale-sammlungen.gwlb.de/content/82327652X/jpgs/default/00000505.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.84
# 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.

e
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De
(e0d1 s
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st
d
Ge
CuiuS CenEEOD POn
ctum A. perpendi-
cularicer incumbit.
Ec alia ipsi conju-
gaca diamerer Ha-
becur relupra.
Irem data lyper-
Bola B F eiulque
Oppolica, cuius ver-
tex C, ec dato pun-
eto A Cupra pun-
Aum E axis B C per
pendiculariter ere-
cto, ad distanciam
linea AB, ducoli-
neaS B A d C A.
sumpeaque AL, in
longiori C A, vlera
punctum A produ-
cta, qua A L SIC
aqualis breviori B
A, habeolineam B
L, prorna ex dia-
merris ellipleos eC.
re lupra.
Icem dara hyper.
bola BF, eiulque
Oppolica, cuiusverrex C, e daco puncto A lupra punctum
F axis secundi II P. perpendicularirer erecto, ad distanciam
linea A F, in axe II E sumo II C aequalem linex II A,
ec ductis lineis B C, ex C C producta in L, ica VE G L SIC
aequalis B G, B L est vna ex conjugaris diamerris ellipleos
qualica, cujus scilicer cenero D punctum A perpendicula-
ricer incumbie; ex alia linea per cenerum D ducta perpen-
dicularis linea ED, sive AD (lirrerx enim A ex C7 vrum
e idem punctum cupra planum B C F, eanquam in aere
O00 iis
F NI DLSCARTES.