 | Euclides - 1821 - 294 σελίδες
...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 - 876 σελίδες
...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 - 554 σελίδες
...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 - 282 σελίδες
...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 - 304 σελίδες
...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 - 366 σελίδες
...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 - 542 σελίδες
...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 - 524 σελίδες
...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 - 254 σελίδες
...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 - 276 σελίδες
...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. 
