| George Cary Eggleston - 1876 - 238 pages
...line because I know that the square described on the hypothenusc of a right angled triangle is equal **to the sum of the squares described on the other two sides."** " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"... | |
| Elias Loomis - Geometry - 1877 - 458 pages
...H CBI PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse **is equivalent to the sum of the squares described on the other two sides. Let** ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side BC... | |
| William Chauvenet - Geometry - 1877 - 368 pages
...of the polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right **triangle is equivalent to the sum of the squares described on the other two** tides. U Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,... | |
| William Chauvenet - Geometry - 1888 - 826 pages
...polygons. PROPOSITION X.— THEOREM. 25. The square described upon the hypotenuse of a right triangle it **equivalent to the sum of the squares described on the other two** rides. IS Let the triangle ABC be right angled at C; then, the square AH, described upon the hypotenuse,... | |
| David Swing - English essays - 1889 - 266 pages
...rather cry out, "Eureka! eureka!" over a bunch of wild flowers than over the idea that the square of **the hypothenuse of a right-angled triangle is equivalent to the sum of the squares** of the other two sides. We all believe the utterances of geometry. "We do not entertain any doubt over... | |
| Adonijah Strong Welch - Educational psychology - 1889 - 299 pages
...inches long, the hypothenuse 10 inches; show that the square described on the hypothenuse is equal **to the sum of the squares described on the other two sides,** by dividing each of the three squares into small squares whose area is one inch each; then counting... | |
| James William Nicholson - Arithmetic - 1889 - 395 pages
...find the third side. THEOREM. — The square described on the hypothenuse of a right triangle is equal **to the sum of the squares described on the other two sides.** Hence, the square of cither side about the right angle is equal to the square of the hypothenuse diminished... | |
| Edward Albert Bowser - Geometry - 1890 - 393 pages
...COMPARISON OF AREAS. Proposition 7. Theorem. 374. The square described on the hypotenuse of aright **triangle is equivalent to the sum of the squares described on the other two sides.** Hyp. Let ABC be a rt. A, rt. angled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq.... | |
| William J. Shoup - Education - 1891 - 332 pages
...engine; or the mathematician who should publish as an original discovery the astonishing fact that **the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares** on the other two sides, or the geographer who should just discover that the earth is a sphere. The... | |
| William Chauvenet - Geometry - 1891 - 322 pages
...A'D'E' + A'E'F' & PROPOSITION X.— THEOREM. 21. The square described upon the hypotenuse of a right **triangle is equivalent to the sum of the squares described on the other two sides. Let** the triangle ABC be right angled at C ; then the square AH, described upon the hypotenuse, is equal... | |
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