| Encyclopedias and dictionaries - 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... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 324 pages
...similarly described on the sides of a right angled triangle (BAC), the figure described on the side (BC) **subtending the right angle is equal to the sum of the figures on the other** side. From the right angle draw a perpendicular AD to the opposite side; BC is to CA as CA to CD (550),... | |
| 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... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...-to. scribed on the sides of a right-angled triangle (BAC), the figure, described on the side (BC) **subtending the right angle, is equal to the sum of the figures** upon the oiher sides. From the right angle draw a perpendicular AD to the opposite side: BC is to CA... | |
| Mathematics - 1836 - 335 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 - 496 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 - 496 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... | |
| Charles Reiner - Geometry - 1837 - 215 pages
...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
...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... | |
| Great Britain. Admiralty - Geometry - 1846
...THEOR. 47.1 Eu. In any rig'fit-angled triangle, the square which is described upon the hypothenuse, or **side subtending the right angle, is equal to the sum of the** squares described upon the sides which contain the right angle. Let ABC be a rt. angled ./^, having... | |
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