| Euclides - 1821
...right angled triangle any similar rectilineal ^figures be similarly described, the Jigure described **on the side subtending the right angle is equal to the sum of the** Jtgures on the other two sides which contain the right angle. From the right *Z- draw a perpendicular... | |
| 1823
...the 47th of the first book of Euclid's Elements, that in, every right-angled triangle the square of **the side subtending the right angle is equal to the sum of the** squares of the other two sides, has immortalized his name ; and whether we consider the inherent beauty... | |
| University of Cambridge - 1830
...Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is described upon **the side subtending the right angle, is equal to the sum of the** squares described upon the sides containing the right angle. 2. The sides about the equal angles of... | |
| John Martin Frederick Wright - 1831
...two angles of a triangle be equal, shew that the sides subtending them are also equal. 6. Prove that, **in a right-angled triangle, the square on the side subtending the right angle, is equal to the** square on the sides containing the right angle. 7. If a straight line be divided into two equal, and... | |
| Thomas Perronet Thompson - 1833 - 150 Seiten
...demonstrated. PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be **equal to the sum of the squares described on the other two sides** of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
| Euclides - 1833
...which itself is a part, which is absurd. PROP. 47. THEOR. In a right angled triangle, the squares of **the side subtending the right angle is equal to the sum of the** squares of the sides which contain the right angle. Describe squares on the sides of the triangle ;... | |
| 1836
...plane passing through them. 6. In any right-angled triangle, the square which is described 1830 upon **the side subtending the right angle, is equal to the sum of the** squares described upon the sides containing the right angle. 8. If two straight lines meeting one another... | |
| Robert Mudie - 1836 - 496 Seiten
...result. The principle is as follows : In any right-angled triangle, the square of the hypotenuse or **side subtending the right angle, is equal to the sum of the** squares on the sides which contain the right angle. We repeat the diagram, in order that the reader... | |
| Robert Mudie - 1836 - 496 Seiten
...result. The principle is as follows : In any right-angled triangle, the square of the hypotenuse or **side subtending the right angle, is equal to the sum of the** squares on the sides which contain the right angle. We repeat the diagram, in order that the reader... | |
| Charles Reiner - 1837
...same parallels, the parallelogram is double the triangle. 9. In a right-angled triangle, the square of **the side subtending the right angle is equal to the sum of the** squares of the sides containing the right angle. 10. In obtuse-angled triangles, if a perpendicular... | |
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