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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 81, page id 175905688X:0103
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=103
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.76
# 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.

donene
vedca
8x +
X = 65
00
ACC-
imentu
mecho
CMCNe
deto
queae,
Ctu
ut
adicesdu
L T B E X T E R Y F I S.
81
lius radicibus non difterane. Nimirum loco Aqua-
tionis
L X4 X p X X. 9X. Y ∞O,
Tcribendae sunt lxe dux alix
+ X X - 9X + = y 9+
p+2, ∞0, ee
4
ex ∞0.
Ec quod attinee ad ligna L et =, quae omis, R in
Equatione praecedente habeatur. L p, Ponendum erit
in urraque harum duarum L = p; e - = p, si in priore
habeatur - p. Ponendum vero est. 1 2 in una, ubihra-
betuE = y X; X - = in alcera, ubi habetur L y X, pEO-
ut habetur. Lg in prima. Ec contra, li habetur ibi - 9.
ponendum est  - 2 in illa, ubi habetur - y X; ex  2
in altera, ubi habetur L y x. Vnde consequenter Facile
est omnes AEquationis propolitae radices cognolcere,
aeque hinc Problema, cujus solutionem continet, con
struere, adhibendo cancum circulos e lineas rectas.
Exempligratia, quia pro xt F - 17 XN - 2OX - 6∞00
Ponendo y - 34 y+ + 313 9y = 40O ~ O INVeNIEUIE
vy esse 16: hinc loco Equationis L x+ X - 17 X X-
20x = 6∞0 scribendae lune lx dua L X X - 4 X - 3
20 _. f X x ] 4X 1 2 ∞ 0. Namy cAt 4, = yy CA 8,
Pelt 17, ec g cs 20; ita uC - F 2yy - = p --
Taciat - 3.
ec - =9y - =p + Z Faciat. ] 2. F quibus binis A-
guationibus E extratantur radlices, invenientur exdem
omnes, quae eliciuntur ex ea, in qua habetur xt. Ni-
mirum una vera, qua cst V 7 - F 2, ec cres Fallae, qua lune
- 2, 2 + V 2, CC2 - V 2.
Similicer cum habetur xt X = 4 X N - 8 X- f 35 3O:
G110-