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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 13r, page id 00067996:0025
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 73 lines, status machine
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ib obl +Z
2)
M X + 2yl (+ (9 + 29(4 V +Z + 27C
X + axl - ( + 70, 27l 10
Ergo X +ZXI + l~ 1 - qV- 27l +.
s
eo
Ergo. Z - +Z1 +Z l debet aequari quadratos cequetur BZ
v
+ X + 2X (+ 2I- l 7
31 Ce 8. Er (7 X F axL + (+ X + 271 (+1)
Ergo l H X + 2XL + Z + 271
v
41.
qu
2
+
17
ya
conferatur haec aequatio cum alia ducorum
incognitarum ea duas resolubili, omnium maxime composita, quam
alibi expressum, ut huc trausseribam necesse non ess
fici syt ast ge V (bh Aeq. 1. fYl + a (Bl 9C) + Bbh
K- 
- - .. Aeq. 2 fYl + a β l , ed) + B+ β
+S aBt p. Cd)Aβ
-.-
. . . . Ergo gcY - ed) p A β - bh
et multiplicando productum pr 
Multiplicetur (3 +d. per Cy + e, fiet E3 + de y + de
tre
a
Mlultiplicetur et X + A per ax +D, fier: a X + D X + e
Meultiplicetur productum prius per (3, posterius per D, atque ita puignntur,
fier:
+da.
CE Y + B+ CY + Bd + a X + YBX +Y
+ Be..
sive divitis omnibus per βC,. fiet:
+2 al..
fotu +( + VatX +VBLX o
Bc
le. lort
c
Bc
+ Z aV.
rBC
vel pro  substinatur , fiet pro 8 olsituatur 8 quro 4d, fiat 
pro a fiot , fet: ero e  e, fiat c
qua
3t + 3y + 3l + Ma X + GM X H0.
+D. + E
Sive proz e ponendo ovl, fiet:
et pro sa porendo gl
y + dy +d l + 8, X , v X po.
+ 2.. + 6v l
Quam aequationem conferamus cum data y + 2l  - I + X + 2lX jo
ergo 8⊓L. 60  2l 4- aB )S ⊓ - 3 d + ∞ p 2l
Ergo n_ H I. et ZC  2l, quae sungendo fiet p, et ap 21 Ergo HB
ego a; n5,
et
e
CH
21-d d
c
24113
H - 3
ita
renique V  2l sive +e 2l, sive E (quin quia d- 3C. Erst ep 2lc + 3C
2al
Hinc patet V. et β. sive c. et a. sum posse pro artitrio Caeleras haberi explicatas et fie site
e
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