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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 85, page id 175906937X:0109
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=109
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.81
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

dd = bc, huC
1m. + bl. + bB.
dem
clit.
abebimus pir
vera radice
reliquaste
=bba DC
AdX Sil
in toca el
O, dC peT COI
rem. Fiatio
imus lob+
Drum cermine
dendo ralore
 cognita
1 ∞0dd
debimus
rela ladio
duSten qu
6D
AE  U s Y ZO H U H.
6 Propositio.
Prolexta propolicarum, fiat ex duabus X3- ] exX ddx bdd ∞0
_ X - b ∞ O haeC aequatiO X = - f  C∞3 = d d X x Y - bb d d ~0.
b0
Supponendo autem majorem quam b, habebit ipsa eandem For-
man atque lexta proposicio, ac per consequens ejusdem crunena-
curae e consticutionis. Finc erso adaequario, de comparando se-
cundos terminos habebimus b∞c-- b, hoc est, 6∞ l- (- b. Dein-
de, exeollatione cerriorum terminorum, habebimus mm∞dd L Bc,
hoc est, resticuendo valorem cinventum, exit dd ∞ mm- bl - bb.
Ende discimus, cognita vera radice b, hanc aequationem
x3.  LXX = mmx-bmm ∞0 tresreliquasradicesrespicere.
L- bl = bbl
bb
f B3
Poltremo, ex comparatione ultimorum terminorum, habebi-
mus pr bbdd, ac per consequens d d D si adeoque, cosnit
vera radice b, haec aequatio x3 - L l X X =- MM X -  ∞0 ad EreS
1
reliquas inrestigandas erie adhibenda.
Propositio.
Lb
Proseptima propolitione, hac ex duabus, x3 -  = C X X = d d ~ -
bdd ∞0eer -- b ∞0, haeC aequatio a = F 6∞3 - d d X x F - F bb d d. ∞ 0.
bc
Suppolita autem b majore quam c, habebit ip(a eandem Formam
acque leprima propolitarum x+ = l ~3 =m m X x X. ( p+ ∞ O, dC
per consequens ejuldem erunenaturae de constitutionis. Fiat ergo
acaegnatio, e per comparationem secundorum terminorum ha-
bebimus 6-- b∞0 = l, hoc eAt, c∞b l. Deinde, conterendo
certiosterminos, habebimusm m ∞ dd L bc, hoc est, subltituto
valore c invento, erit dd ∞ mm =bb L bl. unde discimus, co-
Bnica ver a radiceb, hanc a quationem x3 L bxX mmx bmm ∞0
bb u bb
Lbb b.
rribus