 | Walter Percy Workman - 1908 - 228 σελίδες
...two sides ...... (Euc I. 47) 212 RT.2''. — -If the square described ou one side of a triangle is equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. (Euc. I. 48) 213 BT.3.t — In a right-angled... | |
 | Henry Sinclair Hall - 1908 - 286 σελίδες
...from A ? GEOMETRY. THEOREM 30. [Euclid I. 48.] If the square described on one side of a triangle is equal to the sum of the squares described on the other two sides, then the anglt contained by these two sides is a right angle. Let ABC be a triangle in which the sq.... | |
 | 1909 - 870 σελίδες
...PRINCIPLE OF THE RIGHT TRIANGLE 58. In any right triangle, the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. If ABC, Fig. 48, is a right triangle, Pl°- 48 right angled at B, then the square described on the... | |
 | Newfoundland Council of Higher Education - 1911 - 250 σελίδες
...quadrilateral. (8) 6. Prove that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. A CB is a triangle, with the angle A CB a right angle. On AC, CB, respectively, squares A CDE, B CFG... | |
 | Walther Lietzmann - 1911 - 84 σελίδες
...als proposüion 47 des I.Buches: In a right-angled Mangle the square described on the Hypotenuse is equal to the sum of the squares described on the other two sides. Damit sei es der Beispiele hier genug. 2. KAPITEL. ZERLEGUNGSBEWEISE. 1. Man zeichne ein Quadrat AB... | |
 | 1911 - 1334 σελίδες
...parallels, are equal in area. 4. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. 6. If from a point O within a triangle A, B, C, perpendiculars OX, OY, OZ, are drawn to the sides BC,... | |
 | 1911 - 192 σελίδες
...times the given triangle. 4. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. 5. Of all triangles having the same base and equal perimeters, the isosceles triangle is the maximum.... | |
 | Newfoundland Council of Higher Education - 1912 - 300 σελίδες
...fraction the area PQR is of the area ABC. (18) A 5. Prove that, if the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides is a right angle. (8 A 6. Prove that, if a straight line... | |
 | Charles Leonard-Stuart - 1912 - 646 σελίδες
...which subtends, or is opposite to, the right angle. Its property — that the square described on it is equal to the sum of the squares described on the other two sides — is demonstrated and generalized, so as to apply to any figure ia Euclid. The Hypothesis Hysteria... | |
 | 1903 - 1038 σελίδες
...geometrical truth that the square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides ; and a table holding wooden cubes, cones, cylinders, and globes ; and the wall of the place covered... | |
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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. 
