# Leibniz Legible — https://leibnizlegible.com
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 125, page id 175905688X:0147
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=147
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000147.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.75
# 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.

Dc +
aelepela
cectise+
 +(2
e
c-
CCE
lcu
A O F AE B R E V E 5.
qu auterendo quadratum +cb.
a quadrato ex
relinqua-
 G lateris recti. FA aurem paulo ance invenca linea
2 D
c0
ela
co pelle
Stineeml
CD
11d
iplio
abbi
detem
quod vot
A C∞ pi ideoque ejus dupla AO ~
adhuc OpOrtet 4Cb2
.TTinc invenire
. Quod repraelentatur per 4 m. Inrenitur
autem; ponendo esse, utc - fadc, ita bb 2d - -. at ut c -f
eAtads, sic A B ∞ b est ad A C. Ouapropter erit ut b ad lincam
2
AC, licbb 2d-. Ouoniam aurem ratio duorum quadratorum
ad inricem duplicata es rationis, quam inter le habent iplorum
lacera: hinc, Eponamus lincam A F. mediam proxortionalem in-
cerbeclineam A C; exic b ad lineam A F, (ICuLb ad V = XE Pex
consequens linea AF ∞ V cb
Vnde si AR trac dupla ipsius
AE, erit ea aequalis V +cb. Adeoque si constituamus eriangu-
lum ARO. cujus latus A9 sic aequale ZC (ut dictum est), cu
julque angulus AB  Sic rectus; eric latusR OD V 02 - 4 m:
quandoquidem quadratum ejus xquacur quadrato linex = 5 3 IMI-
nus quadrato +cb2
. Acqueita R fice latus rectum et diame-
ter Circuli. Ec si ex centro C ducatur linea C F. parallela ipA
L 3
RC.
1d guol