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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 25
# Folio 5r, page id 00068238:0009
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solvendia est in integris aequatio
dalus
et 2l = 3m + 1 (unde erus
usum in sched 12 jannar 1687 ubi
de divi periodis decimatibus, poterum
quaerere seriem ubi uga facere
2l + 3m = V, sed malum est quod dunc
locus est  dimensionum nium, seu solidus
seu opus est s non Tabula, sed seme tabu
serie tantum, sed serie seriem, si ducamus
2l 3m M per om unum M, ut 1 per
omnia  et rarsi2 per omnia l ere.
quod si retinendo I quia datum est
(4 variando m, quaeramus C, nempe
2l = 1 = M, _ et omisso l in generaliter
feribamus  2-1
4 -1
6-1
8-1 19-1
19++ Unde sed patet rem esse faciliorem
huc modo 2l = 3M + 1 nam oaes et
solvi problema generatissime sumendo pro
m, quem libet numerum imparem qui triplicatus
manet impar, unde addito I fit par
adeoque fit 2l. si vero esset 3V = 7l +
quaerendum quales sumendi C ut 7 seplenarii unitate
aucti fiant ternarii fiat 3Y = 61 + l + 1, ergo
opus est tantum l esse numerum qui unitate anctus
divedi potest per 3, hoc est pro l sumi posse
ternarium quemlibet unitate minutum ut tes
2, 5, 8, etC. si haberemus 3V = 8l +1, fieret 
3V=6l+ 2l +1. Ergo 2l+ 1= 39. seu fiet
3l - l+ 1= 39. Ergo - l+ 1 = 3Y. seu = 1-3Y
quod est impossibile nisi ponas r=o ergo aquatio
V = 8l + 1 non potest solvi nisi ponendo l=1