| George Albert Wentworth - Geometry - 1888 - 264 pages
...other as the squares of any two homologous lines. PROPOSITION X. THEOREM. 379. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Let BE, CH, AF, be squares on the three sides of the right triangle ABC. To... | |
| James Wallace MacDonald - Geometry - 1894 - 76 pages
...right angle are proportional to the adjacent segments of the hypotenuse. COROLLARY II. The square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides. Proposition XVI. A Problem. 226. To find a mean proportional between two given... | |
| George Albert Wentworth - Geometry, Analytic - 1889 - 264 pages
...two homologous lines. PLANE GEOMETRY. — BOOK IV. PROPOSITION X. THEOREM. 379. The square described on the hypotenuse of a right triangle is equivalent to the sum of tJie squares on the other two sides. Let BE, GH, AF, be squares on the three sides of the right triangle... | |
| George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...to the difference of the squares upon the two lines. 426. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the legs. This theorem was first demonstrated by Pythagoras, about 450 BC, and hence... | |
| John Kelley Ellwood - Algebra - 1892 - 312 pages
...expression for the capacity of kettle. 340. Demonstrate that the square described on the hypothe. nuse of a right triangle is equivalent to the sum of the squares on the other two sides. 341. A conical glass 9 inches deep, and 0 inches wide at the top, is one third... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...to the given base and distant one foot from it ? 2. Prove that the equilateral triangle constructed on the hypotenuse of a right triangle is equivalent to the sum of the equilateral triangles upon the legs. 3. Transform a trapezoid into an equivalent square. 4. Find a... | |
| University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...correctness of your work. 5 Prove that two circumferences have the same ratio as their radii. 6-7 The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 8 Find the area of an equilateral triangle which is inscribed in a circle whose... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...similar polygons have the same ratio as the square roots of their areas. 379. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 380. Cor. The square on either leg of a right triangle is equivalent to the... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...polygons equals the 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.* S GIVEN—the right triangle ABC and the squares described on its three sides.... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...polygons equals the 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* S GIVEN — the right triangle ABC and the squares described on its three sides.... | |
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