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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 86, page id 175906937X:0110
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=110
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000110.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.80
# 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.

e
d E N A Y _ R p
rribus renguis suletrire. Denique, comparando poltremos rer
minos, habebimus pr x bb d d, ac per consequens d d ∞ 5; dc.
cognica vera radiceb, haec x quatio x 3-  b ~ N - M M A   ∞0
2d tres reliquas erie reterenda.
C A P U F Z.
+
b
Dout constitutione sEquationum quatuor dimen-
sionum, tertio termino carentium.
DEdcuus autem hxe aequariones ad septem sequentes For
L. L mulaS:
N +  l∞3 X - B3 X - p+ 30.
X t  l X 3 X B3X - pF ∞ O
Xt -L- b ∞3 X = B X - pY ∞O.
X +   b ∞3 X  13X  p+ ∞O.
Xt∞3 X - B3 X  p+ ∞O.
X + L ∞ 3 X - n3 X   p+ ∞ O.
14 = I ∞3 X 13 X  pE∞0.
2 Propositio.
Pronatura e constitutione primae propolitionis, Formemus,
ex duabus x3 - CX X = b0X. f d3 ∞ 0 XC X = b ∞ 0, haNC ae qua-
tIOneI X+ = CX3 X- L d3 ∞ - bd3000, e habebie ipla candem
L bbc
FOrmam atque prima propositio xt = l X3 X L n3 X - p+ ∞0, de
per conlequens ejusdem erunt natura d consticutionis. Fiac ergo
adaequatio, e ex comparatione secundorum cerminorum habe-
bimus b∞c- F b, hoc est, c∞0 l = b. Deinde, conferendo quar-
tos terminos, habebimus n3 ∞ d3. L b bc, hoc est, restiruendo ra-
lorem inventumm c, eric d3 ∞ n3 =- b bl- L b3. EInde discius, co-
onita vera radiceb, hanC X GUALIONCM X3 = l N X - blX L n3 ∞O
Lb L bb + b3
na bb
adtres religlas quaerendas adiberi posse. Denique, comparando
ulei-