 | Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...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 - Geometry - 1819 - 446 pages
...straight line 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...described on the side subtending the right angle, as a diameter, is equal to the squares described upon the other two sides, as diameters. For, (S. 76.... | |
 | Euclides - 1821 - 294 pages
...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... | |
 | Encyclopedias and dictionaries - 1823 - 876 pages
...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... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...to the diameter of another square, the former square shall be the double of the latter. LXXVII. TH. 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. BOOK II. PROP.... | |
 | University of Cambridge - 1830 - 554 pages
...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 pages
...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 ;... | |
 | Mathematics - 1836 - 366 pages
...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 - Mathematics - 1836 - 524 pages
...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 - Mathematics - 1836 - 542 pages
...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. 
