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A Problem of Lewis Carroll's, and the rational solutions of a Diophantine Cubic

Published online by Cambridge University Press:  20 January 2009

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§ 1. In the Life and Letters of Lewis Carroll occurs the following extract from his Diary:—

“Dec. 19 (Sun).—Sat up last night till 4 a.m., over a tempting problem, sent me from New York, ‘to find 3 equal rational-sided rt.-angled ∆&s.’ I found two, whose sides are 20, 21, 29; 12, 35, 37; but could not find three.' (v. page 343.)

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1905