 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...are similar if two adjacent sides are proportional. Ex. 1069. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 1070. If in rectangle ABCD a perpendicular is drawn from D upon AC, the prolongation... | |
 | Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...inches long respectively. 53. Prove that in any triangle three times the sum of the squares on the sides is equal to four times the sum of the squares on the medians. 54. Prove that the area of any polygon described on the hypotenuse of a right triangle as... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...inches long respectively. 53. Prove that in any triangle three times the sum of the squares on the sides is equal to four times the sum of the squares on the medians. 54. Prove that the area of any polygon described on the hypotenuse of a right triangle as... | |
 | Arthur McCracken Harding, George Walker Mullins - Geometry, Analytic - 1924 - 340 pages
...BC + OQ . CA + OR • AB = 0. 23. In any triangle, three times the sum of the squares on the sides is equal to four times the sum of the squares on the medians. 24. Show that the points (a, 6), (6, a), (с, c) form an isosceles triangle, for all values... | |
 | Thomas Hadyn Ward Hill - 190 pages
...by four times the square on the straight line joining the midpoints of the diagonals. 15. Show that three times the sum of the squares on the sides of...equal to four times the sum of the squares on the medians. 16. A symmetrical pyramid stands on a square base ABCD of side 8" and each of its slant edges... | |
 | University of St. Andrews - 1897 - 600 pages
...diiference of two straight lines is equal to twice the sum of the squares on the lines themselves. The sum of the squares on the sides of a triangle is equal to twice the square on half the base together with twice the square on the median drawn to that base.... | |
 | University of Bombay - 1907 - 328 pages
...median which bisects the base. In a triangle, three times the sum of the squares on the three sides is equal to four times the sum of the squares on the three medians. 6. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle... | |
 | Euclid - 1845 - 336 pages
...angular points of the squares be joined, the sum of the squares on the sides of the hexagon so formed is equal to four times the sum of the squares on the sides of the triangle. 5. The difference between the squares on the tangents from any point to two... | |
 | University of St. Andrews - 1899 - 648 pages
...the area of the triangle is where a, 6, c mean the lengths of BC, CA, AB respectively. 8. Prove that the sum of the squares on the sides of a triangle is double the sum of the squares on the median and on half the base. ABCD is a rhombus whose side is given,... | |
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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. 
