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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 449, page id 175905688X:0471
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=471
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000471.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.
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# After the first blank line: the recognised lines in reading order, one per line.

+1C
lnonce
D0, CC
DE R E DUCF EOHE AE OU A Y LONUM.
449
Expe uno incuitu ex rariissignis conster, uc, Cx. or. (1 locO - V 2
hrabuislemus - L V 3, quo caluV O. ex - sextrahinon poruislet;
Pocerimus interdum operolas aliquot mulciplicationes e dirisio-
nes, quae alioquin essenetaciendae, insuper habere. Majoris per-
Spicuitatis graria alterum exemplum addam. Dirilores aequatio-
nISXE, X, X, X, 5X, 1 ∞0 lune, secundum z ciam PALFeM, X X 8 = V S
In X, 8 V 5∞O; X x B VV sinX, 8 Y 5∞O; XX L x f- ∞O;
XX L V C. = InX -L V C. =∞O; ec X ~ L V s5. t in X + - ∞0:
Ei jam comperiatur B = V snon eseDVY 5, vel∞=, vel ∞ VC.
=, vel D V B. F, qua sune quanticates coenieae 2 di termini; vel
ultimosterminos 8 V 5, X L =, ec. non inter se convenire;
indicio esset aequationem Propolicam produci non posse ex multi-
plicatione duarum aliarum, quarum altera habet duas dimensiones, es
nullum terminum ∞ O, altera vero aliquem terminum ∞ 0.
Ea
4
Pars.
Si aequatio aliqua s dimentionum produci possir ex
mulciplicatione duarum aliarum, quarum alceraha-
bcat duas dimentiones, e nullum terminum D 0; al-
ceraverounum, pluretre terminos ∞o; crit ca dirisi-
bilis Per X x L y X F Z ∞O, CujuS y e Z ValOTCS PeF
sequentes aequationes ac sequenti modo lunt inve-
niendi.
Aquationem Propolitam, sire in ea aliquis terminus deficiar,
lire non, (ic delignabo: xo L p x5. L gX = f Y X 3. f SX N I t X I V ∞ O:
ubi pdenotor quanticatem cognitam 2di termini, velo, lis deti-
ciac; q quanciearem cognitam zeutermini, vel o, Cisdelit; r +ci
termini, dec.