 | Edgar Hamilton Nichols - Geometry - 1896 - 180 pages
...463. The principle of 460 and 461 stated in words is as follows : The square formed on the hypotenuse of a right triangle is equivalent to the sum of the squares formed on its sides. H MS. 72. cause the discovery of it is attributed to Pythagoras, a famous Greek... | |
 | Joe Garner Estill - 1896 - 186 pages
...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... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...square of their ratio of similitude. PROPOSITION XI. THEOREM 403. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides* GIVEN — the right triangle' ABC and the squares described on its three sides.... | |
 | George Washington Hull - Geometry - 1897 - 408 pages
...6). § 91 SQUARES ON LINES. PROPOSITION VIII. THEOREM. 235. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Given—ABC a right triangle right-angled at C. To Prove—The square ABED... | |
 | 1897 - 366 pages
...-^— = lOf. Ans. lo 385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse... | |
 | Electrical engineering - 1897 - 672 pages
...a right angle. 714. In any right-angled triangle, the square d':v,ribed on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 38, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse... | |
 | International Correspondence Schools - Electrical engineering - 1897 - 346 pages
...18 = lOf. Ans. FIG385. In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. If ABC, Fig. 28, is a right-angled triangle, rightangled at B, then the square described upon the hypotenuse... | |
 | Henry W. Keigwin - Geometry - 1897 - 254 pages
...difference of the squares on the lines. PROPOSITION III. THEOREM. 314. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. E Fio. 128. [Prove FOB a straight line, n AF o 2 A GAB = 2 A CAL =D= 1=1 LD.... | |
 | Yale University - 1898 - 212 pages
...side, a new triangle will be formed equal to four times the given triangle. 4. The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. 5. Of all triangles having the same base and equal perimeters, the isosceles... | |
 | Mathematics - 1898 - 228 pages
...side, a new triangle will be formed equal to four times the given triangle. 4. The square described on the hypothenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. 5. Of all triangles having the same base and equal perimeters, the isosceles... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
