 | George Anthony Hill - 1880 - 204 σελίδες
...adjacent segment. (20) The square described upon the hypothenuse of a right triangle 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 homologous sides. (22)... | |
 | National Educational Association (U.S.) - 1881 - 372 σελίδες
...student through his sight 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, although we may not make him understand the logical demonstration. We can convince even a child, with... | |
 | Charles Scott Venable - 1881 - 380 σελίδες
...PROPOSITION XI. THEOREM. The square described on the hypothemtse of a right angled triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at A. Having formed squares on the three sides, let fall, from A,... | |
 | National Education Association of the United States - 1881 - 372 σελίδες
...student through his sight 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, although we may not make him understand the logical demonstration. We can convince even a child, with... | |
 | 1882 - 486 σελίδες
...ara assumed in the proof. 8. Prove that if the square described on one of the siles of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 4. Prove that if a st aight line be... | |
 | Alexander Duncan - 1882 - 180 σελίδες
...geometrical demonstration, that 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? Art. 386. 8. Two sides of a right-angled triangle being given, how do you find the other two? Art.... | |
 | 1882 - 376 σελίδες
...FRS, and BENJAMIN WHXIAMSON, ESQ., MA, FRS 1. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, prove that the angle contained by these sides is a right angle. 2. Prove that the quadrilateral formed... | |
 | Euclides - 1883 - 176 σελίδες
...right angles to one another. PROP. 48. THEOR. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides of it, the angle contained by these two sides is a right angle. Given A ABC having sq. on BC = squares... | |
 | Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...obtuse. For the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be... | |
 | Edward Olney - 1883 - 344 σελίδες
...186. 376. Theorem.—The square described on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. We are to prove that AB 2 = AC' + CB 9 . For, let fall the perpendicular CD, and by (374, 2cl) we have... | |
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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. 
