| George Cary Eggleston - Adventure stories - 1876 - 234 pages
...line because I know 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." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"... | |
| George Cary Eggleston - Adventure stories - 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 - Conic sections - 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 - 396 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 - 280 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 - 348 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 - 408 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 - 414 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... | |
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