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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 128, page id 175906937X:0152
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=152
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.83
# 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.

28
D E L. Y _ E F T B U S
jus quamn, hinc Imx.- Lmmx muleo masis eric majus quam n; ad.
eoque x major quam n
Im. mm de conlequemer x major quam
minorhorum duorum terminorum m 8
n3
Im. L mm
C A P U F V.
De squationibus quatuor dimensionum, secundo es
tertio termino carentibus.
Prop. 1. X 4 X X = 1 3 X -] p4 ∞ 0.
Eerranspolitionem es xt ∞ n3 x -p, ideoquex major quam
P4
. Sed per transpolitionem eAt quoque p+ WB3 V - XF,  CON.
(eguenter n3 major quai x3, aC n IajOr quai X. ErGO VETA-
que radix x aequarionis propOlEX ajor CrIEquam, dEminoe
quam B.
PrOp. 2. X 4X X = B3 X = p4 ∞ O.
Pertranspositionem es x + =n3 X ∞ p+, ideoque x3 major quam
n3, e x major quamn, ee nn xx majus quam n3 x. Sed elt quoque
at = p+ ∞ B3 X, IdCOquC xF ajuS quam pF, e x major quaM P, d
PPXx majus quam p F. AEper transpolitionem est etiaim n3 x p
p+ ∞ Xt. LrSOnAXX LPP a X majus erit quam x +. Plinc divisi
UETaqUE PaITC PEF XX, CIIE X X InUS QuaI WB L PP, de x minOr
quam V nn. LPP. Inrenimusigitur, quod radix aequationis pro-
politx eA major quamne p, led mInor quam V nn- L PP, dC PFOI
de muleo INOr quaM n F P.
Prop. 3. X + X X - 33 X = p+ ∞ 0
Per cranspolitionem erit x + 2p + = n3 X, dc per consequens
Major quam x. Similiter eric n3 N ∞ p+ = Xt, _ COnsequenter p
MajHS QUAL X=, eE pMIa)OF GNaI X, EC p3 x iajS quam xt. Sed
ett praeterea vt - =n X ∞ pF, ideoque p3 X- n3 x majus quam pt de
major quam p3- 3. Inrenimusitaque, quod radix aequarionis
PrOPOliEX eA major qudWB p3  75 ac minOY quam  ee P.
Ct