| Scotland free church, gen. assembly - 1847 - 552 pages
...makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal **to the sum of the squares described on the other two sides,** these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained... | |
| James Bates Thomson - Geometry - 1844 - 237 pages
...the other two sides; in other words, BC^AB'-f-AC". Therefore, The square described on the hypolhcnuse **of a right-angled triangle, is equivalent to the sum of the squares described on the other two sides.** Cor. 1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent... | |
| Charles Davies - Geometrical drawing - 1846 - 254 pages
...triangle equal to ? In every right-angled triangle, the square described on the hypothenuse, is equal **to the sum of the squares described on the other two sides.** Thus, if ABC be a rightangled triangle, right-angled at C, then will the square D, described on AB,... | |
| James Bates Thomson - Arithmetic - 1846 - 336 pages
...principle in geometry, that the square described on the hypothenuse of a right-angled triangle, is equal **to the sum of the squares described on the other two sides.** (Leg. IV. 11. Euc. I. 47.) Thus if the base of the triangle ABC is 4 feet, and the perpendicular 3... | |
| James Bates Thomson - Arithmetic - 1847 - 432 pages
...contains 25 sq. ft. Hence, the square described on the hi/pothenuse of any right-angled triangle, is equal **to the sum of the squares described on the other two sides.** DBS. Since the square of the hypothenuse BC, is 25, it follows that the , or 5, must be the hypothenuse... | |
| James Bates Thomson - Arithmetic - 1847 - 424 pages
...30. 34967ft-. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal **to the sum of the squares described on the other two sides.** (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth of this principle may be seen from the following... | |
| James Bates Thomson - Arithmetic - 1848 - 422 pages
...575-580.] SQUARE ROOT. 371 578. The square described on the hypothenuse of a rightangled triangle, is equal **to the sum of the squares described on the other two sides.** (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The truth of this principle may be seen from the following... | |
| Almon Ticknor - Measurement - 1849 - 144 pages
...D, respectively equal to 0 C, 0 B, and therefore AC, BD, are bisected at the point 0. Fig. 25. 26. **The square described on the hypotenuse of a right-angled...sum of the squares described on the other two sides.** (Pig. B) Fig. A. Let the triangle ABC be right-angled at A. Having described squares on the three,... | |
| Charles Davies - Trigonometry - 1849 - 384 pages
.... X E D ? GI D K PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled **triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle** ABC be right angled at A. Having described squares on the three sides, let fall from A, on the hypothenuse,... | |
| Charles Davies - Logic - 1850 - 402 pages
...figure of the class. For example: when we prove that the square Eumpi*. described on the hypothenuse **of a right-angled triangle is equivalent to the sum of the squares described on the other two sides,** we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all... | |
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