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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 76, page id 175906937X:0100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=100
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine
# Lines: 27 recognised, mean confidence 0.88
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D E N A Y a R A
est, 6∞b = l. Unde discimus, cognita vera radice b, aequationem
tanC X 3 - f b X x L bbx L b3 = bb l∞0 ad tres reliquasinresti-
bt
sandas ulurpari posse. Praeterea, comporando postremostermi
norum, habebimus pr ∞ b3c. Unde sequitur, c aquariz,; ec, co-
nica reraradiceb, a quationem hanc x3 L X x   ∞O eri
bus reliquis inserrire.
3 Propositio.
Pro tertia propolicione Formetur ex duabus x3 = CX X  bC X
bb6∞0e x - b ∞ O ae quatio hXC X + - 6X 3 X X + b3C ∞O,
_ erit ejuIdem Forma atque tertia prOPOLIEaLIM X + - L∞3 X +. L
p+ ∞0, ac per consequens eandem habebunt naturam de consti-
turionem. Fiat ergo adaequatio, et ex collatione secundorum
terminorum habebimus l∞ c- F b, hoc est, c∞1 -- b. Unde
constat, cognitâ rera radice b, hanc aequationem
X3 = IX X = bIX - bb1- + b3 ∞0 tribus reliquis inserrire. POF-
Lb
L bb
ros comparando postremos terminos, habebimus pr ∞ b36, _c per
consequens c0; adeoque, cognira veraradiceb, poreritx-
Quatio x3 = , N X -  ∞ =  ∞0 ad tresreliquas radices in-
restigandas adhiberi.
Non operx pretium duximus meminisse aequationum quatuor
dimensionum, in quibus secundus de quartus terminus delunt:
quia illae omnes reducuntur ad Guadratas, ac idcirco carum na-
cura ec consticutio eodem modo habetur.