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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 20
# Folio 5v, page id 00068269:0010
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est aequale nihilo, etiam erit latus aequale
nihilo, itaque posita aequatione
0 (aequ. f.) aequ. g + hd + 1d  etc.
quaeritur an fieri possit talis aequatio divisibilis
per d + 1. item per d - 1.
quid mi.  H inquies. Recte sane
in numeri
Sed tunc impossibile erit quotienlem post
facta divisionem esse d quadratam hujus
formulae aequari d d-d seu, impossibile
erit quadratum eius fieri ex productione horum
trium.  d =1, d, d+i b
seu impossibile est numerum quad ratum produci
ex continuo ductu trium numerorum progressionis
arithmotica continuorum
se
Nam omnis numerus si quis numerus quadratus
est divisibilis  etit et latus ei pe
 ut ostendi numento vertendo quadrctum in aqual Ostendam nine dea d aequi f2 esse aequationem
aliquam quantitatem, erit et latus ejus divisibile
per eandem quantitatem erit ergo latus quadrati
hujus divisibile per d facta autem dibisione
ut paten  vertendo quadratum in aequationem seu
ponendo nihilo aequale. Erit ergo latus quadrati
hinus divisibile, per d-1, per d+ 1, et per d.
id est  quia d - 1. et d +1 et dge sunt primi
ergo
inter se erit: f aequ ld = ld
impossibile est f esse aequ d - d. posito d.
d. f. l. esse integros.
Inventa ergo demon-
stratione rem breviter reassumemus et
Distinctius ostendemus.