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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 68r, page id 00068196:0135
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(Cx et
Formula duarum literarum rationalis integra
ad era  resolvi potest in productum
ex duabus, l et hujus producti potentias, et in
forimulas ex alterulta litera sola formatas
sit formula generalis: 100 = 110X + IIIXy + 120XX + 12IXXy + 10X
102 gy 1I2 Xgy 10343
101 y
+ 122XXyy + 13. Xy + 140X + 132 X3yy + 191Xy + 190X + 133X 7 192X yy + 1BIX, +160X
113 X p 104  123 XX y3 114 X yt 1047
Haec ita ordinabitur secundum Xy,
12a ase 105y
A  110 + 10 X + 120XX + 130X etc Y (XY). et geaeriter tettridi 1
201 y 1027y 103 y3
1II + I2IX + 13IXX + 14IXX et C Z (X
112 y 113 9y 114 yy
122 + 132X + I42 XX + I5Z XX etc Y (XI
123y 1249y 125gy
33 + 143X + 153 XX + 163 XX ese
1349 135 yy 1367y
possemus etiam examinare, quomodo
quadratum, Cubus vel alia potentia formulae
veneralis e exprimatur er ordinando
Celemo
secundum eXV. Item factum ex duabus
formulis generalibus vel alia forma, at
ut (5 vel ( D E, vel OD, etc.
Et generaliter potentias
 an Xe y afficiet
 afficiet
membium
Fne
l. nte. C. X
l. C. nt.
p
Xy multiplicabitur
l. 3+2. 3, XX
l. 3. 3+2. yi
seu per 153 Xx
135 9y
120 XX + VFIXy +110X +100 dividatur per _ 210X + 200. seu hoc multiplicet
per 307 + 300, fiet
210. 310XX +2. 810. 310Xy + 200. 31aX + 200. 300
0: 300)S
fit 210. 310 = 120 = 1II:2 200.310+710.300=110 nique 290. 300 =100
sit 2 310 =1 fiet 210 = 120 200 = 110 -210.300 = 100:300 sen 10
200 = 110 a = 120.300 = 100. 300
V. 9.
per