 | Euclides - 1845 - 546 pages
...the squares of the sides 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
...less than the square upon 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...the squares on the sides 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...hypotenuse, the difference of the squares on the segments into which it is divided, is equal to tht, square on the other side. 151. If a straight line be drawn... | |
 | Euclides - 1860 - 288 pages
...on that line by three times the square on half the side bisected. 5. If from the point of bisection of one of the sides of a rightangled triangle a perpendicular be drawn to the hypotenuse, the square on the third side is equal to the difference of the squares on the segments of the hypotenuse... | |
 | Euclides - 1864 - 262 pages
...the squares on the sides 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...hypotenuse, the difference of the squares on the segments into which it is divided, is equal to the square on the other side. 151. If a straight line be drawn... | |
 | Euclides - 1864 - 448 pages
...the squares on the sides 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 he drawn to the hypotenuse, the difference of the squares on the segments into which it is divided,... | |
 | Robert Potts - 1865 - 528 pages
...the squares on the sides 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...hypotenuse, the difference of the squares on the segments into which it is divided, is equal to the square on the other side. 1 70. If a straight line be drawn... | |
 | Robert Potts - 1868 - 434 pages
...the squares on the sides 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...hypotenuse, the difference of the squares on the segments into which it is divided, is equal to the square on the other side. 151. If a straight line be drawn... | |
 | Hugo Reid - Mathematics - 1872 - 148 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
...To divide a square into 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...hypotenuse, the difference of the squares on the segments into which it is divided is equal to the square on the other side. 63. The difference of the squares... | |
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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. 
