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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 448, page id 175905688X:0470
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=470
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.79
# 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.

448
X 3
LOT ANHES TIUDDEHEL EPISF. I.
X33 3 YX X) SX, t∞O PEFXX L = X. 
x,923, 5X, t20 Per Xx  = r - F = 98 V  99. + 520,
es pet XX B V = in X, L = 4 8 V + 49. f50
ex PetXx, += B V
ss qM2X L, 30
s perXant XY C. = L YC. = ∞O.
2, = F 5X, t∞O, PCFXX, 8 = VSIMX, BY5∞O,
ex PCFXX, BVYSinX 8 V5∞O.
(x Pet ~ X  = X. 1 = ∞0,
e PCEXX,  YC. = IMX, L VC. = ∞0,
ex perxx, LVB. t in X, + - ∞0.
Ad =mam _C Zciam Partem annotandum renit, si non constet an
Propolita ae quatio ex duabus aliis, requilitas conditiones haben-
cibus, produci postic, quod id facillimo negotio ut plurimum ex-
Periri liceat: quorielcunque enim dirisores, qui per roculames
copulantur, inter le non secundum omnes terminos conre-
niane, concludendum est, Propolicam aequationem ien produci
non posse, adeo ut eoin calu dirilio irrita foret. Exempligratio,
SIPFOPONATUF _QuatIO ∞S, X X X, = x X V 3 - 2 = x + 105∞O,
qux hujus est Formulae xs,
d
X X
3sxx, tx, v∞0, ca dirisibilis
erit secundum imum Partem, PeF x .  = ∞O, _ Per X 8YV =5
20; _ PeF x 8 = V = 5∞0; e Per X = V C. = ∞O; _ per
X-
25 ∞ 0, si produci postit ex multiplicatione duarum aliarum,
quarum altera sit unius dimensionis, altera vero uno pluribusve terminis
careat. Uc autem sciatur, utrum hoc fieri queat, non opus est id
divilione per aliquem ex divisoribus explorare, cum hic quodi-
vilores reperiantur inter se non conrenientes: nimirum,
x- = ∞O, e x BVV = 5∞O, naI- rationAleIM, _E YV -5
irrationalem numerum designat. Aeque cum indirisibilitas etiam
Expe
c