 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...together with double the square on half the base. 8. Three times the sum of the squares on the three sides of a triangle is equal to four times the sum of the squares of the Hues drawn from the angles to bisect the opposite sides. 9. The difference between the squares... | |
 | Robert Potts - 1860 - 380 σελίδες
...of the squares be joined ; the sum of the squares on the sides of the hexagonal figure thus formed is equal to four times the sum of the squares on the sides of the triangle. VII. 54. Find the side of a square equal to a given equilateral triangle. 55.... | |
 | Euclides - 1864 - 448 σελίδες
...of the squares be joined ; the sum of the squares on the sides of the hexagonal figure thus formed is equal to four times the sum of the squares on the sides of the triangle. vn. 54. Find the side of a square equal to a given equilateral triangle. 55.... | |
 | Euclides - 1864 - 262 σελίδες
...of the squares be joined ; the sum of the squares on the sides of the hexagonal figure thus formed is equal to four times the sum of the squares on the sides of the triangle. VII. 54. Find the side of a square equal to a given equilateral triangle. 55.... | |
 | Robert Potts - 1865 - 528 σελίδες
...of the squares be joined ; the sum of the squares on the sides of the hexagonal figure thus formed is equal to four times the sum of the squares on the sides of the triangle. vn. 62. Find the side of a square equal to a given equilateral triangle. 63.... | |
 | Richard Wormell - 1868 - 286 σελίδες
...the difference of the squares of A B. BC, is equal to the difference of the squares of AD, DC. 10. Three times the sum of the squares on the sides of...triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles. 1 1 . The squares of the... | |
 | Robert Potts - 1868 - 434 σελίδες
...of the squares be joined ; the sum of the squares on the sides of the hexagonal figure thus formed is equal to four times the sum of the squares on the sides of the triangle. TIL 54. Find the side of a square equal to a given equilateral triangle. 55.... | |
 | Richard Wormell - 1870 - 304 σελίδες
...the difference of the squares of AB, BC, is equal to the difference of the squares of AD, D C. 10. Three times the sum of the squares on the sides of...triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles. 1 1 . The squares of the... | |
 | Bombay city, univ - 1873 - 614 σελίδες
...tangle contained by the whole and one of the parts may be equal to the square on the other part. 5. The sum of the squares on the sides of a triangle is 11 ual to twice the square on half the bass together with twice tVie square on the straight line which... | |
 | Euclides - 1874 - 342 σελίδες
...the segments into which it is divided is equal to the square on the other side. 63. The difference of the squares on the sides of a triangle is equal to the difference of the squares on the segments of the base made by a perpendicular from the opposite... | |
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Prove that three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares on the lines drawn from the vertices to the middle points of the opposite sides. 
