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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 473, page id 175905688X:0495
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=495
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000495.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 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.

luer
 P0q
lo
ad UMaM
cemens det
MX.
duateo qu
CiMIM
D
DE RLEDUCTIOHE A QUAZLONUM. 473
DuanCITaTeS COgrIEX TUNEP ∞O
400
rnullius hic estulus.
(∞ 2ab3 + 76a3b F +5aabb -- b+- 4a
+∞ =  b5 F a = b - ab + L a 3bb,
ex dirilores ultimi Termini, duas dimentiones habentes, seu va-
lores iplius hlunc ∞ ab. + bb, vel - ab - bb, vel bb - aa, vel - bb +- aa
vel ab- bb, vel - ab- L bb
velaa L ab - F bb, vel - aa -- ab = bb:
hinc si B Cumatur ∞ ab L bb, obtinebieur
X X-
2
+
EP8Y - 1, + =PF15. - 9. ] B- + In X, L B
2
aequale X X = 4 a X F ab ∞ O. PeF QuAML (I LENECTuT vEruIM PrO-
F bb
polica dividi queat, invenietur dirisionem tieri posse, atque pro
guociente Orirt X 3 + 4 a X X F 26 a a X = b3 ∞0.
ab + a
REOVLA DRO A QY AFTONTBVS 6 DTME N-
STONV H.
Si aequatio Propolita 6 dimentionum divisibilis sIF
per aequationem rationalem, plures quam unam di-
mensionem habencem, in qua nullus cerminus desIE;
exit ipsa divisibilis rel per aequationem 2 dimentionum,
vel per aliquam 3 dimentionum. Si divisibilis (IC PCF X-
quationem rationalem 2 dimentionum, porerit diridi
PeT XQuaTiONEM X X f.9 X + B∞O3
PB-
cC)
2B-
2
B
2B
2∞L
B
es
BmgB.
B
Si dirilibilis lic per aequationem rationalem 3 dimen-
Tionum, erie dirisibilis
O0
Det