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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 20
# Folio 2r, page id 00068269:0003
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M- 1
M
m +1
eI non in se invicem
en integris vel fractis
ducti non possunt dari quadratum Nam vel
enim
nel omnis tres erunt quadrati sed hoc fieri non
pot est, quia non dantur eres quadrati progressionis
arithmetigae, quorum differentia sit quadrabus
hoc locor unitas
ut deu alibi demonstravi (in prop. 6. Schediasmali
de De probl. invenire V. rectarus. in numeris
cujus area sit quadratus Padjecta)
Nec
uno existente quad rato duo  reliqui
possunt producere quadratum nam
m- 1, marequ m+1 aequ n Egom, nac
vel m -1 m + 1 eqo (2
vel m
m+1 aequ
2
m aeqo HV. hugo Maego H
im- 1 aequ. 1. su B vgo +1
Ergo hastres aequationes probandum esse impossi-
biles:
 N- 2n  Eequ. 1222
M-1 aequ.
2
n +3n+ L aequ. 12
Hor quidem in interis patet has peropositiones
Hoc vero manifestum est ex ipsa formularum.
natura sit enim radix alicujus ex his
hibus quadratis seu l, aequ. nY + Y, fier
quadratum n 4 EY n + Y quod non
potest accommodari ad n- 2n. (quia in ea
altimus sed
ab est terminus espondens ipsi, 12.) nea foriuutae
nt - 1 (quia in ea abest terminus secundus, seu
respondens ipsi 2Yn) nec formulae n + 3n +2
quia in ea terminus ultimus 2, non pol est quadratus
itaque non potest respondere ultimo 
forimulae generalis,