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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 98, page id 175906937X:0122
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=122
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.85
# 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.

8
DE N A X U R A
Denique, comparatis ultimis cerminis, habebitur pr ∞bfs.
unde constat, s aequari ; de, cognit a verdradice b, hanc aequa.
tioneI X3 L BX x- L Bb~ J  ∞0 ad eres reliquas esse rete-
FendaM.
Imin
22 Propositio.
Pro undecima propositione Hat ex duabus X3 L  CX X  d d X
=f3 ∞O_ X  b ∞ OhaeC a quaciO x + L CX3- dd Xx + f3 x - bf 3 ∞0.
-b - b0 + ddb
Suppolitâ autem b majore quamc, habebicipsa eandem Formam
acque undecima propolicio x+ - l∞3 = M M X X- L n3 X - p+ ∞O,
ac per consequens ejusdem cruntnaturae d consticutionis. L’actâ
erxo adaequatione, ex comparatione secundorum terminorum
hrabebimusc -- b ∞ - - l, hoc cst, 6∞0 b -- l. Deinde, comparando
tertios terminos, habebimusmm ∞ dd-  bc, hoc est, restituendo
valorem cinventum, erit dd  mm- ( bb =- bl. Tum, ex colla-
tione quartorum terminorum, habebiturn3 ∞ f3  d db, hoc est,
Substicuendo ralorem dd inrentum, het f3∞ n3 = m Mm b = p3
 bbl. EInde discimus, cognita reraradice b, hanc aequationem
X3-  bx X = M MX + n 3 ∞0 reliquis tribus interrire.
bb + bbb
 b1 =mmb
b3
Poltremo, collatis ultimis terminis, habebimus b f3 ∞ pr
unde sequitur, f rquari ; e, cognitâ verâ radice b, tranc 
quationem x3 L bx x =mmx L  ∞0 ad reliquastres essere
Serendam.
bI
Produodecima propolitione, hrat ex duabus, a LCX X L AAX
53∞Oe X BB, Iab GlaO  F613 Fad VX. Fs3X 536∞0
22 Propositio.
b bo dat
Suppo