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Recreations in mathematics (1917)

Licks, H. E · New York, D. Van Nostrand company · leaf 57

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48 RECREATIONS IN MATHEMATICS Against the wall a ladder stood upright, Of the same length the castle was in height. A waggish fellow did the ladder slide, (The bottom of it) five feet from the side. Now I would know how far the top did fall By pulling out the ladder from the wall? 66 … fig-iz divided into three equal parts. 67 When is the sum of the squares of two successive integers a perfect square? This is answered by Osborne in Ameri- can Mathematical Monthly for May, 1914. The two S2. Then come smallest are o2 + i2 = i2 and 32 + 4? • 202 + 212 = 2Q2 and no2 + 1202 = 1692…

Mathematical recreations

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