 | Elias Loomis - 1877 - 458 σελίδες
...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 - 1878 - 236 σελίδες
...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 σελίδες
...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 - 1879 - 44 σελίδες
...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 - 1886 - 214 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1888 - 298 σελίδες
...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 - 1889 - 408 σελίδες
...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 - 1889 - 348 σελίδες
...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. 
