 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...furnishes another proof of the Pythagorean proposition (66). THEOREM XL. 91. Any figure described on the hypothenuse of a right triangle is equivalent to the sum of the similar figures whose homologous sides are the other sides of the triangle. Let P represent any figure... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...equation, then — = GEOMETRY. BOOK IV. ANOTHER DEMONSTRATION. 333. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Let A£C be a light A, having the right angle £AC. We are to prove El? = JO2... | |
 | Andrew H. Baker - Arithmetic - 1878 - 204 pages
...proposition in Geometry, it is proved that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described upon the base and perpendicular; thus, Let ABC be a rightangled triangle, AB the base, AC the perpendicular,... | |
 | Olive San Louie Anderson - Ann Arbor (Mich.) - 1878 - 284 pages
...then, you may prove that the square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described upon the other two sides, and also that the angles at the base of an isosceles triangle are equal." Then followed more propositions,... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...yards high ? • 48. Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. Deductions. 1. The angles at the base... | |
 | George Anthony Hill - Physics - 1880 - 204 pages
...diameter. (b) Either chord is a mean proportional between the diameter and the adjacent segment. (20) The square described upon the hypothenuse of a right...is equivalent to the sum of the squares described on the other two sides. (21) Similar triangles (or polygons) are to each other as the squares of their... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...furnishes another proof of the Pythagorean proposition (66). THEOREM XL. 91 i Any figure described on the hypothenuse of a right triangle is equivalent to the sum of the similar figures of which the other sides of the triangle are homologous sides. Let P represent any... | |
 | Pupil teachers - 1880 - 1486 pages
...12 yards high ? 48.Prove that if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. D 咀 ㏄ 祉 血 卑 l ・ The 打... | |
 | Aaron Schuyler - Psychology - 1882 - 496 pages
...above, take the case of the mathematician who in proving the proposition, The square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other sides, draws a particular right triangle and constructs a square on each of the three... | |
 | George Albert Wentworth - Geometry, Modern - 1879 - 262 pages
...square are two incommensurable lines. ANOTHER DEMONSTRATION. 333. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. G U _ *3+t DLE Let ABC be a right A, having the right angle BAG. We are to... | |
| |
The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
