 | W J. Dickinson - Geometry - 1879 - 44 pages
...of the base, the vertical angle is a right angle. (Apply i. 47, ii. 4.) 10. If from the middle point of one of the sides of a rightangled 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. 11. If... | |
 | Charles Mansford - 1879 - 112 pages
...sum and difference of the other side and the hypotenuse. (ii.5.) 162. If from the middle of one side of a rightangled triangle a perpendicular be drawn to the hypotenuse, the difference of the squares of the segments of the hypotenuse shall be equal to the square on the other... | |
 | Samuel Constable - Geometry - 1882 - 222 pages
...circle whose centre is the vertex, and whose radius is half the given length.] 8. If, from the vertex of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the angle included between this line and that joining the vertex to the middle point of the hypotenuse... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...squares on OA and AB'is equal to the rectangle contained by OB and OC. 41. If from the middle point of one of the sides of a rightangled triangle a perpendicular be drawn to the hypotenuse, the difference of the squares on the segments of the hypotenuse is equal to the square on the remaining... | |
 | Mathematical association - 1884 - 146 pages
...squares on OA and AB is equal to the rectangle contained by OB and OC. 41. If from the middle point of one of the sides of a rightangled triangle a perpendicular be drawn to the hypotenuse, the difference of the squares on the segments of the hypotenuse is equal to the square on the remaining... | |
 | Euclides - 1884 - 182 pages
...sides of a rhombus are together equal to the squares upon its diagonals. 4. 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. 5.... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...the hypotenuse by three times the square upon half the line bisected. 212. 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 of the segments so formed is equal to the square of the other side. 213.... | |
 | Euclid - 1845 - 336 pages
...that the square on DE is equal to twice the sum of the squares on AC, CB. 5. If, from the mid-point of one of the sides of a right-angled triangle, a perpendicular be drawn to the hypotenuse, the difference between the squares on the parts into which it is divided is equal to the square on the... | |
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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 side. 
