 | Elias Loomis - Conic sections - 1877 - 458 pages
...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... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...PYTHAGOREAN PROPOSITION. Theorem. The square described upon the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. HYPOTH. In the triangle ABC ZB AC = R. To HE PROVED. BC- / \ n PROOF. On the sides of the triangle... | |
 | Euclides - 1879 - 146 pages
...of the triangle, and that nine times the square on DF is thirteen times the square on the hypo"nuse. PROPOSITION XLVIII. THEOREM. If the square described...on one of the sides of a triangle, be equal to the squares described on the other two sides of it ; the angle contained by these two sides is a right... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...top of a wall on the opposite side 1 2 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.... | |
 | Henry Albert Reed - Photographic surveying - 1886 - 214 pages
...the familiar principles 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 ; and that if a perpendicular be let fall from the vertex of the right angle to the hypothenuse, the... | |
 | 1886 - 580 pages
...them be found ? " The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides." — Davics' Lfgeniire, Bk. iv, Prop. n. Was the Pythagorean harmony known as " The Music of the Spheres,"... | |
 | Joseph Baldwin - 1887 - 360 pages
...President ; that the earth revolves around the sun ; that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides of a right-angled triangle ; and we accept these conclusions as true. We assent to these conclusions ;... | |
 | Henry Albert Reed - Mechanical drawing - 1888 - 298 pages
...the familiar principles 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; and that if a perpendicular be let fall from the vertex of the right angle to the hypothenuse, the... | |
 | James William Nicholson - Arithmetic - 1889 - 408 pages
...to 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... | |
 | Adonijah Strong Welch - Educational psychology - 1889 - 348 pages
...and 8 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... | |
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If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 
