Mathematical wrinkles for teachers and private learners, consisting of knotty problems;mathematical recreations; answers and solutions; rules of mensuration; short methods; helps, tables, etc., (1923)
Jones, Samuel I. (Samuel Isaac), 1880- · Nashville, Tenn., S. I. Jones · leaf 111
MATHEMATICAL RECREATIONS 101 *240. The Square Fallacy To prove that the diagonal of any square field equals the sum of any two sides. … Given the square field ABCD with a side equal to 100 rods. The distance from A to C along two sides is 200 rods. Now in Fig. 1 the distance from A to C along the diagonal path is 200 rods. In Fig. 2 the steps are smaller, yet the di¬ agonal path is 200 rods long. In Fig. 3 the steps are very small,…