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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 71v, page id 00068198:0142
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L (a+b)= a1b +3a (b tC.
IIm +  Yun
2+ abZ = Im rem + Mn Imn + 3, Vn (IIm +  n) + ab s
seu Z+ abz = (Im + 3mn +ab) sm H(mn +3Im + ab) imn
Am + Imn + p fil 72+ abZ = (lm + 3mn + ab + 3pp) sim
(im + 13In + 23 smin + 4) =
139 = 3mp = 12. 23 am
+
Strin
(nn + 3lm + ab + 3pp) SMN + abp
6Mp iIn
12. 12 lm L 2. B. 23n sm + B. 4 +. 12. 13l Ima + 21. 25 In
13. 13 In
27. 23WH
1
2.12. 9 NIm +C +2. 234 Im L2.B9V In
1227
fiet lm + 3mn + ab + 3pp = 2. 13. 23 an + 2 (12. 117)3mp - 2. (12: 13) am
(2
mn +3Im + ab + 3pp 3 2. 12. 134l +. 2. (23: 13) 3mp = 2(23: 13) 12. 23 am
Et fiet ulm -2mn = + 2. 13.23 an + 2 (12. 13)3mp = 2. 12. 23. (12. 13) am
- 2. 12. 13 al = 2. (23: 13) 3lap + 2. (23: 13)12. 23am
+23. 23mn
94
Res redit ad quatuor aequatione
literae autem l, n n, 9
q
sunt quine. Ex his l, nn
valoris
debent esse simplicies, sed
qet p possunt esse qualesena
ita habetur p rationaliter per 5q. f. is substituatur in aeci, elet 4 ita aeq. Y ascendet ad quadum num et fra aequosa
substituatur et p et q in aeq. Y) composita per additionem ex 2 et 3, quae erit.
lm Fomn + ab + 3pp =  13. 22 an + (12. 13) 3mp L (12. 23: 13) (12+23) am et ascendetur ad gudm
ptum in e
supersunt literae l, m, n in c99. 6 et b; et collendo in estatet aequatio varde absa inter e et r
12. 13 al  2(29.13)
cum tamen, l, m, n, debeunt esse simplices. Nempe deberent firri l-  em n= m + ah quibus ubsti-
tritit, efficiendum esset ut duae aequatunes ad m haberent omnes terminos evanescentes qudd non est in potestate
=ilm +mn +P Ergo 73 + abzu = ut supra
2.
sit (.2 5 sal + gua + h Jan = fl 4 2fga Im + 2gh ainn +2 fha cla
m
f9 = Cm + 3mn + ab + 3pp
htn
gh = mn + 3lm + ab + 3pp
rimal ag= emp Erit fh = Emp
et deuique
f = lm + 3 ma + ab + 3pP, : 9 h = mn + 3lM + ab F 3pp, : 9)
fh = Im + 3mn + ab + 3pp, mat3lm + ab + 3ps: 99 = 3 mp
fL. C L