 | George William Myers, William Rockwell Wickes, Ernest August Wreidt, Ernst Rudolph Breslich - Geometry - 1907 - 90 pages
...the sides. 7. Using the notation and relations suggested by Fig. 38, prove, algebraically, that the sum of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals. FIG. 38 8. Find the base, b, and the altitude, a, of a parallelogram whose... | |
 | University of Oxford - 1907 - 160 pages
...figure and having fewer sides by one than the given figure. 6. (6) Show that the sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. 7. Prove that the line joining the middle points of two parallel chords of... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...other sides = 122 sq. cm. ; find the locus of the vertex. ty "4. Prove that the sum of the squares on the sides of a parallelogram is equal to the sum of the squares on its diagonals. The sides of a rhombus and its shorter diagonal each measure 3" ; find the... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...diagonals plus four times the square of the line joining the mid-points of the diagonals. Ex. 330. The sum of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals. (Special case of Ex. 329.) Ex. 331. The sum of the squares of the diagonals... | |
 | University of Sydney - 1912 - 1050 pages
...and D is the middle point of BC. Prove that AB- + AC2=2(ADM-BD'). Show that the sum of the squares on the sides of a parallelogram is equal to the sum of the squares on its diagonals. 2. Show how to describe a circle to toucli internally the three sides of... | |
 | Great Britain. Board of Education - Education - 1912 - 372 pages
...have the dual nature of the product to consider. z 13934 ~ (7) Prove that the sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. Extend to the case of a quadrilateral. (8) The sum of the squares of the... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry, Modern - 1912 - 190 pages
...points A, B remains constant ; prove that its locus is a circle. Ex. 31. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. Ex. 33. The sum of the squares on the diagonals of a quadrilateral is equal... | |
 | Edwin Schofield Crawley, Henry Brown Evans - Geometry, Analytic - 1918 - 257 pages
...sides of a triangle is parallel to the third side and is half the length of the third side. 38. The sum of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals. 39. The lines joining the mid-points of opposite edges of any quadrilateral... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...OB2.) Ex. 56. In the figure of Ex. 55, OA2 + OD2=OB2 + OC2 + 4BC2. Ex. 57. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. Ex. 58. In any quadrilateral the sum of the squares on the four sides exceads... | |
 | Canada. Topographical and Air Survey Bureau - 1908 - 758 pages
...parallelogram by a straight line drawn through a given point within it. 14 10. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. 14 • 11. Every parallelogram inscribed in a circle is a rectangle. 14 12.... | |
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The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. 
