# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0401
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0401?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 377, page id 175906937X:0401
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=401
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000401.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.86
# 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.

DEuM A)
eaj - nan
OABC
ad AH.
E, coeri.
Cribatur
idendo
P-C1H.
DAD
66 2d
aAt0 ex
ga-
primt
13 3lia
TIaB-
quod
netla
Mit.
Gue a
rimis
DE MONS TR A FTONTBUS.
primis velut principiis, (quemadmodum in alcebra praeseriim
fieri solet,) deducere velimus, loneâ serie forent spectandae.
Quae quidem hic refero, ut quilibet intellicat, nonnullos repe-
riri, etiam in Mathematicis haud leviter versatos, qui viden-
tes hujusmodi calculum sapenumero valde prolixum evadere,
plurimi (ve terminis constantem; demonstrationes Ceometricas
ei lonse praeferunt, non animadsertentes ejusdem beneficio eli-
ei Theoremata, quibus ad id concatenatim utuntur. Existi-
mantes praeterea Alcebram vel hoc nomine non marni facien-
dam esse, quod solummodo circa aequationes versetur ac eas
dem continue respiciat, quod sane exo maximi momenti judi-
caverim; quippe harum ope infinita genera Problematum pro
uno genere Problemarum haberi queunt; ac demum quicquid
in universa Mathesi arduum seu difficile occurrit, id omne per
aequationem absque ulla ambase ex verborum in volueris quam
simplicissime potest explibari.
P R O B L E M A.
Dacs politione duabus rectis lineis parallelis AB,
 as aaous punctis A de E: C puncto F’extra
Plas dato rectam lincam ducere FBD, quae a policio-
ne datis abscindat rectas AB, ED, dacam inter se ra-
aes AF ad C C, seu a ad d.
Series Resolutionis.
Ponatur Factum, quod qua-
rieur, hoc est, sIE A B ad LD,
Ut a ad d, SIEGue A F ∞ a
C F ∞ b
CF. ∞B
e AB ∞X.
Finc