 | George Irving Hopkins - Geometry, Plane - 1891 - 208 pages
...and difference of two lines is equivalent to the difference of the squares upon the two lines. 426. The square described upon the hypothenuse of a right...equivalent to the sum of the squares described upon the legs. This theorem was first demonstrated by Pythagoras, about 450 BC, and hence is called the Pythagorean... | |
 | John Kelley Ellwood - Algebra - 1892 - 300 pages
...copper. Find an expression for the capacity of kettle. 340. Demonstrate that the square described on the hypothenuse 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 6 inches wide at the top, is one third... | |
 | 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... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...PROPOSITION IX. THEOREM. 270. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle, whose hypotenuse is AC, and let. AE be the square upon the hypotenuse,... | |
 | Bothwell Graham - Arithmetic - 1895 - 240 pages
...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 of the other two sides... | |
 | University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...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... | |
 | Mathematicians - 1896 - 368 pages
...historical note will be appended to the completed list. THEOREM. The, square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other tiro sides. , PROOFS. ' ' I. RESULTING FROM LINEAR RELATIONS OF SIMILAR RIGHT TRIANGLES. Let ABC be... | |
 | Joe Garner Estill - Geometry - 1896 - 168 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 other two sides. (GHve the pure geometric proof.) 7. In a triangle any two sides are reciprocally proportional to the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 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* S GIVEN — the right triangle ABC and the squares described on its three sides.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...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... | |
| |
The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
