| 480 pages
...sub-division shows that the square on the hypotenuse of the above right-angled triangle is equal to **the sum of the squares on the sides containing the right angle.** (Some tiled pavements show this fact very clearly.) Fig. 85. Fig. 86. TEx. 1. Construct a, right-angled... | |
| 352 pages
...5. [THE THEOREM OF PYTHAGORAS.] In a right-angled triangle, the square on the hypotenuse is equal to **the sum of the squares on the sides containing the right angle.** DL fig. 140. Data ABC is a triangle, right-angled at A. The figures BE, CH, AF are squares described... | |
| Euclid - 454 pages
...triangle the perpendicular side is 3, the base 4, and the hypotenuse, the square on which is equal to **the sum of the squares on the sides containing (the right angle),** 5. We must, then, liken the perpendicular to the male, the base to the female and the hypotenuse to... | |
| Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...166. THE THEOREM OF PYTHAGORAS. In a right-angled triangle, the square on the hypotenuse is equal to **the sum of the squares on the sides containing the right angle.** Data ABC is a triangle, right angled at A. To prove that BC2 = AB2 + ACa. Construction Draw AN _L to... | |
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