| Euclides - 1845 - 544 pages
...is equal to the difference of the squares of the segments of the base. 74. If from the middle point **of one of the sides of a right-angled triangle a perpendicular be drawn to the** hypothenuse, the difference of the squares of the segments into which it is divided, is equal to the... | |
| Euclides - 1846 - 292 pages
...the hypothenuse by three times the square upon half the line bisected. 2. If from the middle point **of one of the sides of a right-angled triangle a perpendicular be drawn to the** hypothenuse, the difference of the squares of the segments so formed is equal to the square of the... | |
| Euclid - Geometry - 1853 - 176 pages
...equal to the square on the third side ; and if one of the given sides subtends the right angle, then **the square on the third side is equal to the difference of the squares on the** two given sides. This application of the 47th proposition to the purposes of finding the parts of right-angled... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...is equal to the difference of the squares on the segments of the base. 150. If from the middle point **of one of the sides of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the** difference of the squares on the segments into which it is divided, is equal to tht, square on the... | |
| Euclides - 1864 - 262 pages
...is equal to the difference of the squares on the segments of the base. 150. If from the middle point **of one of the sides of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the** difference of the squares on the segments into which it is divided, is equal to the square on the other... | |
| Robert Potts - 1865 - 528 pages
...is equal to the difference of the squares on the segments of the base. 169. If from the middle point **of one of the sides of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the** difference of the squares on the segments into which it is divided, is equal to the square on the other... | |
| Robert Potts - 1868 - 434 pages
...is equal to the difference of the squares on the segments of the base. 150. If from the middle point **of one of the sides of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the** difference of the squares on the segments into which it is divided, is equal to the square on the other... | |
| Hugo Reid - Mathematics - 1872 - 142 pages
...joined, AEC would be a triangle, right-angled at E (72). Whence it appears that if from the right angle **of a right-angled triangle a perpendicular be drawn to the hypotenuse, the** perpendicular is a mean proportional between the segments of the hypotenuse. Farther, such perpendicular... | |
| Euclides - 1874 - 342 pages
...four equal portions by lines drawn from any point in one of its sides. 62. If from the middle point **of one of the sides of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the** difference of the squares on the segments into which it is divided is equal to the square on the other... | |
| George Albert Wentworth - 1879 - 196 pages
...and BD the line; then BC* = BA* + AC* = BA* + 4 AD* = BD* + 3 AD*. Ex. 15. If from the middle point **of one of the sides of a right.angled triangle a perpendicular be drawn to the hypotenuse, the** difference of the squares on the segments so formed is equal to the square on the other side. Given... | |
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