 | Daniel Cresswell - 1817 - 454 Seiten
...equal to the diameter of another square, the former square shall be the double of the latter. (LXXV.) In any right-angled triangle, the square which is described on the side subtending the right angle, a& a diameter, is equal to the squares described upon the other two sides, as diameters. DEDUCTIONS... | |
 | Daniel Cresswell - 1819 - 486 Seiten
...which is equal to the diameter of a square, is the double of that square. PROP. LXXVII. 100. THEOREM. In any right-angled triangle, the square which is described on the side subtending the right angle, as a diameter, is equal to the squares described upon the other two sides, as diameters, is equal to... | |
 | 1821 - 676 Seiten
...when Pythagoras discovered that the square described on the hypothenuse of a right-angled triangle was equal to the sum of the squares described on the sides containing the right angle, lie ran into the streets in an ecstasy of wild delight, vociferating, " I have found it, I have found... | |
 | Euclides - 1821 - 294 Seiten
...sides of a 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 Seiten
...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 Seiten
...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... | |
 | Euclides - 1833 - 304 Seiten
...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 Seiten
...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 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 - 524 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... | |
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In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle. 
