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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 9v, page id 00067996:0018
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Huic malo remedium quaeremque non ineligans  ut aprior
esto aequatio:
X + 2b X + 2by = y p0 fiet t X+ b p y - b
Essto alia aequato: X + dX + 2ab = ay f0
Ita tot quot ante qu habentur literae
sive y B X +2b
fiet y p X + dX F 2ab
s at + X ade Xp a- d
ap Ergo Xei sas d +2
b. d. a. c et ut jam sequetur (. V. nec tamen ulla ex illis ascendet
ad quadratum, collatio ergo haud dubie procedet
Aequationes Multiplicatae: BX + 2 BbX + 2βby = By 1.
Xx :+ VDX + 2lab - lay 10
Aequatio composita s+ β X + yt p + 2pblX p+ 2 Cb V + 2alY
+V
217d. quilibu B
P
Va.
Ponanu Pri X A pa. et d y da. fiet
ec
Aequatio composita correcta a) illu y B2 Mb X pa 2x b a + 2bl
n
15. h- Nr..
Ol( Ma)
sed quia res eodem videtur cum tantum pro a successernit D, aliumque in
composisam
locum sit translata ideo Aequationem . qualis oblata ent con
feramus datae:   m X + y + nX e Pγ + gl ⊓o
erit incipiendo ab ultimo, rabl, q et _ B, 2abV
peull 2Pb- la p p1 sive 2at. - aq , P. Ergo V  bl
=29b
4b= 9l
anterenult. 23b +Yd n. Ergo 2ab  -plit5  l + Yd 191
N
cab 
-c 2 ab7
Ex his salis colligo sic quidem exitum non haberi
An ergo sic: X + 2b+  multiplicetur per DX + f fiet:
X + 2b8x +  rx + f Xt + 2bf+ f
la
et y H X + 2b +r, fiet
X 3X , fy al.
s
S c. (Dd
ABh 8. A. B
Aequationum ergo una: X + 2bX + 27X + fX + 2b f + fr - yao
et X + 2bX + 2by = y + Y _+ 2Yy ∞ Y unde  + 2rb po
Uende X + b Y y - b - r, sive y p, X + 2b + Y.
Multiplicetur prior per (3, pt posterior per V., et fier aequatio compos
Aequatio composita
sed antequam eam explicemus videndum est an duas
adhibere liccat aequaliones, in quarum qualibet utraque incognitarum assurgat ad
quadratum: posterior esse intelligatur factum ex X + d dpr CY + ex +f X
fiet.
, et yX + F. X + cy + X 14) + ed Ho
+Ad
1
it
risi