 The hypotenuse AB of a right-angled triangle ABC is trisected in the points D, E; prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB.  The Elements of Plane Trigonometry - Page 99by James Hann - 1854 - 119 pagesFull view - About this book
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...speculation. 13. If squares be described on the sides of any triangle and the angular points of the squares be joined ; the sum of the squares of the sides of the hexagonal figure thus formed is equal to four times the sum of the squares of the sides of the triangle.... | |
 | Euclides - 1845 - 546 pages
...parallel. 40. If squares be described on the sides of any triangle and the angular points of the squares be joined ; the sum of the squares of the sides of the hexagonal figure thus formed is equal to four times the sum of the squares of the sides of the triangle.... | |
 | Euclides - 1846 - 292 pages
...drawn from these points to any point in the circumference will be constant. 47. The hypothenuse AB of a right-angled triangle ABC is trisected in the points D, E : shew that, if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...square. 22. If squares be described upon the sides of any triangle, and the angular points of the squares be joined : the sum of the squares of the sides of the hexagonal figure thus formed, is equal to four times the sum of the squares of the sides of the triangle.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...angle, is equal to the rectangle by the sum and difference of the other sides. 35. The hypotenuse AB of a right-angled triangle ABC is trisected in the...prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB. 36. From the hypotenuse... | |
 | Euclides - 1864 - 448 pages
...angle, is equal to the rectangle by the sum and difference of the other sides. 35. The hypotenuse AB of a right-angled triangle ABC is trisected in the...prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB. 36. From the hypotenuse... | |
 | Euclides - 1864 - 262 pages
...angle, is equal to the rectangle by the sum and difference of the other sides. 35. The hypotenuse AB of a right-angled triangle ABC is trisected in the...prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB. 36. From the hypotenuse... | |
 | Robert Potts - 1865 - 528 pages
...angle, is equal to the rectangle by the sum and difference of the other sides. 40. The hypotenuse AB of a right-angled triangle ABC is trisected in the...prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB. . 41. From the hypotenuse... | |
 | Robert Potts - 1868 - 434 pages
...angle, is equal to the rectangle by the sum and difference of the other sides. 35. The hypotenuse AB of a right-angled triangle ABC is trisected in the...prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB. 36. From the hypotenuse... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...angle, is equal to the rectangle by the sum and difference of the other sides. 35. The hypotenuse AB of a right-angled triangle ABC is trisected in the...prove that if CD, CE be joined, the sum of the squares on the sides of the triangle CDE is equal to two-thirds of the square on AB. 36. From the hypotenuse... | |
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