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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 201r, page id 00068196:0397
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Alia Methodus tollendi inegnit literam quae duabus aequationibus gnuetur har esse potest Estu aequalio 18 10 L IX + MXX = 0 et 20 + 21X + 22XX + 23X3 =0
aportet ut hae duoe aegrationes habeant vul unam, vel duas radices communes.  quod si duus communes habent, habent et unam communem. Habat prior aequatio radioes bimet
sei et radices Fg secunta andices flia, crgo si illa multipiretmrper (m, horper 9, fiet utrebique fum. Assumaur ergo pr. 9, 40 +4 X; et pro lm, 30)1X + G2XX, et suotibit
Zorgo + 21 30 X + 1 30 XeX 10. 302 , 19 5 + ll. 3
fiet EE = 20 3 = 7 31.
~ 20.40 + 2,. 40X + 22. 40XX + 23.40X
+ 10. 32 +11. 31 +12. 32X
+20. 41 +21. 41 +20. 41 +23. 41X
1 +1X + 2 X∞ +BXLAE te 1 X: 4 1C=E N 2 + 123 Xe +1 C.4 X 2 + etc = 0
20+ 21X + 22 XX + 23X3 f. 244  etc + 2f. X  + 25 - 1 25:1 + 2f.2 4S: + 2f. - 3 XS. 3 + 2f - 4 X55 4 + ete = 0
ultiplicetur.., 30+3IX+grXX + 33 X +gax t ete H. 3 G~L Xs a  + 35- F AS: 2 +. 3. fu3 F. 35 - 4 X F: 4 + 3F-5 YS -5 + et = 0
pucamst per .. 4ot a(xt arx X + 43  + 3qX terc + 4 -1 XC. +q C. 2 XC. +4 C. 3 x 3+ eaa xC- + + 4 6 - 5 X C. + etc = 8
i
A ab cde  annopus
productum prius, et productum poserius eosdem habebunt terminos, B coincidentientur inter se
st
 mnopuse tectum
rectum bcd
abedemnoxus abcde mnopu
arbitimiae 4 + 5=, 9 aequationes 10
cuonen solum invendentur novem
abbitrariae, sed et tandem prodibu
solae restibunt, 10, 16, eti; 20, 2 etE
aequatio. in qua suolacis arbitrariis