E793  Considerationes circa Analysin Diophanteam
(Thoughts concerning diophantine analysis)
Summary:
The first two paragraphs seem to be in praise of Diophantine analysis. Then we turn to familiar ground:
 Find three numbers, v, x, and y that make the following expressions squares:
vx + v + x, vy + v + y, xy + x + y.
 Find four numbers that make the following squares: AB  1, AC  1, AD  1, BC  1, BD  1,
CD  1. Easy solution: 1, 2, 5, 1.
 Given a number n, find four numbers that make squares out of AB + n, AC + n, etc.
Publication:

Originally published in Commentationes arithmeticae 2, 1849, pp. 576587

Opera Omnia: Series 1, Volume 5, pp. 284  302
 Reprinted in Opera postuma 1, 1862, pp. 128139 [E793a]
Documents Available:
 Original publication: E793
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