# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 348, page id 175906937X:0372
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=372
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000372.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 recognised, mean confidence 0.80
# 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.

Per 17
Errbo
3 Per 29
obeb.
 Per 17
Qrcoet.
op
mato
348
DE CONCTHH A NDES
Fric S, relolrendo aequalicarem in proportionem,
uE AD ad CD, ita CD ad BD.
a + b+ X mam b. + x   _ 1. Ho
TIINC CUIM SIE
UEEOtuM A D ad EOtum CD.
a = b L X  b q X
ita ablatum C D ad ablatum BD:
b. L X
Crit ecia S
b
reliquum AC ad reliquum C. B, uc ablatum C D ad ablatumm BD.
Ft diridendo
 b. L X
ut AI ad TC vel C B, ita C B ad BD
1.
a - b  b  b ) X. uE proponebatUE.
Etinc, ue Droblemati huic sElOCUS, PateC, rectam A C ipsa C B
debere esse majorem; acque adeo hanc conditionem Problemati
esse praetisendam, cum line ea constare nequeat, si velimus uE
L
l
quae licum ex datis inveniatur, ut-
Pote ad quod obtinendum BC
ex C A est suberahenda.
Idem etiam liquet, supponen-
do AC aequalem aut minorem
quam C B. NNam A C aequali exi-
Aence ipsi CB, non posset re-
ctanguluIm A D B quadratO CX
C D aequale esse: cum illud: una
cum quadrato ex CB ei tancum
aequale exictat. EE quidem sI A C ipsd C B minor sic, manifectum
eMt, rectangulum A D B quadrato ex C D cunc adhuc mulco mi-
nustore.
Cumisitur constet Determinatio, Problema construetur hoc
modo:
Constructio.
ANUmPEa C L aequali C B, Si fat ut reliqua AI ad
TC vel CB, ita CB ad BD: dico rectan gULUI ADBF,
quod
et
 mrovoriat