# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0217
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 195, page id 175905688X:0217
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=217
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000217.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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.

us cranle
M1, II
1 taut
Qem
JOremre
Ca
At DC
linet
ate
101
COMMENTARLE IN LIBRaNII. 19C
Ouocirca cum in omnibus hisce F Ilipleos casibus sire diversis
ejus policionibus quancitas in xx ducta ubique signo- adtecta
reperiatur, de ratio recti laceris ad tranlverlum lic, ut pZ7 ad
aam; nec praeter allatas politiones ulla alia excositari queat, qu’a
linea L. C calis, qualis in his omnibus casibus data fuit, obtinca
EUE: Sequitur, Si in quaestione teriminuS P X X SignO L deNOTATUS
fuerit, lineam, in quam punctum qua situm C cadit, Forc F. Ilipsin,
cujus rectum lacus ad crantrerlum (IE uE p Z Z ad a a M, ac ejus.
dem politio, cujusmodi jam est octensum, exiltat.
Primuscalus, cum sectio est Fyperbola, in qua linea L. C eAt
una exiis, quae ad diametrum, quae est in linea II, ordinatim
adplicantur, ee ubi cenerum M in linea IM ex eadem partC pUN-
eti L lumendum est respectu puncti I, cum quantitas oo est major
quam 4mp, lined I. C existence D V mm - 0x + = ~X.
Flinc ad inreniendum CenEruM NI, laEUS reCtuMr, et Trantree
lum NG, Pono, uc ante in Circulo de FIlipli, prONM vel
N9 6, d pro TM d: eritque NL ∞d = c-
C-  
 e L.  ∞
Dein-