| Daniel Cresswell - 1817 - 436 páginas
...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 - 410 páginas
...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
...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
...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
...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... | |
| 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 - 335 páginas
...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 páginas
...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 páginas
...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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