 | Euclides - 1821 - Liczba stron: 294
...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 - Liczba stron: 876
...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 - Liczba stron: 554
...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 - Liczba stron: 282
...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... | |
 | Euclides - 1833 - Liczba stron: 304
...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 - Liczba stron: 366
...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 - Liczba stron: 542
...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 - Liczba stron: 524
...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 - Liczba stron: 254
...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... | |
 | George Hutton (arithmetic master, King's coll. sch.) - 1844 - Liczba stron: 276
...Proposition of the First Book of Euclid, it is demonstrated, that in any 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. In a right angled triangle, the side subtending the... | |
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In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle. 
