| Thomas J. Foster - Coal mines and mining - 1891 - 456 pages
...the number of sides. 18. 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.** Thus, in a right-angled triangle whose base is -20 ft. and its altitude 10, the square of the hypothenuse... | |
| Euclid - Geometry - 1892 - 460 pages
...straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal **to the sum of the squares described on the other two sides,** tlien the angle contained by these two sides shall be a right angle. B Let ABC be ;i triangle; and... | |
| William James Milne - Arithmetic - 1892 - 440 pages
...of a square ? 459. Since the square described upon the hypotenuse, or side opposite the right angle, **of a right-angled triangle is equivalent to the sum of the squares** upon the other two sides, it is evident : 1st, That the hypotenuse is equal to the square root of the... | |
| Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...algebraical statement. 8 •2 9 6 10 12 3. (a) If the square described on one side of a triangle be equal **to the sum of the squares described on the other two sides,** then the angle contained by these two sides shall be a right angle. (V) Enunciate the converse of Euclid... | |
| Walter Thomas Cheney - 1893 - 352 pages
...geometrical theorem that the square described on the hypotenuse of a right-angle triangle is equal **to the sum of the squares described on the other two sides.** Well, imagine the ' earth ' to be that ' triangle ' and the ' mount ' the ' square,' and " " I see... | |
| National Education Association of the United States - Education - 1895 - 1120 pages
...get its full share of attention. When we draw to show that 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,** we are aided by seeing visible proof of the statement, and the drawing does not deteriorate. I doubt... | |
| Bothwell Graham - Arithmetic - 1895 - 238 pages
...having one right angle. 6. The square described upon the hypotenuse (side opposite the right angle) **of a right-angled triangle is equivalent to the sum of the squares described** .upon the other two sides: whence, the hypotenuse is equal to the square root of the sum of the squares... | |
| William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...and perpendicular. 479. The square described on the hypothenuse of a rightangled triangle is equal **to the sum of the squares described on the other two sides.** Hence, the square of either of the two sides which form the right angle is equal to the square of the... | |
| Joe Garner Estill - Geometry - 1896 - 168 pages
...equiangular. 5. Show how to find a mean proportional between two given lines. 6. The square described upon **the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described** upon the other two sides. (GHve the pure geometric proof.) 7. In a triangle any two sides are reciprocally... | |
| Joe Garner Estill - 1896 - 186 pages
...equiangular. 5. Show how to find a mean proportional between two given lines. 6. The square described upon **the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described** upon the otfier two sides. (Give the pure geometric proof.) 7. In a triangle any two sides are reciprocally... | |
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