 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...fifth of the square ABCD. 945 The sum of the squares of the four sides of a quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining B' the mid-points of the diagonals. PROPOSITION XI. PROBLEM 423 To construct a square equivalent to... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...the triangle (673). 737. In any quadrilateral ABCD, the sum of the squares of the sides is equal to the sum of the squares of the diagonals, plus four times the square of the line which joins the middle points of the diagonals EF: AW + til'2 + CD2 + ~DA* = AC2 + BD2 + 4 EF\ 738.... | |
 | Education - 1907 - 738 pages
...the four sides of any quadrilateral is equal to the sum of the squares of the diaginals increased by four times the square of the line joining the middle points of the diagonals. 7. An open cistern 6 feet long and 4^ ft. wide holds 108 cubic feet of water. How many cubic feet of... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...III. PLANE GEOMETRY. Ex. 329. The sum of the squares of the four sides of a quadrilateral is equal to the sum of the squares of the 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... | |
 | Michigan. Department of Public Instruction - Education - 1910 - 376 pages
...sum of the squares of the four sides of a quadrilateral is suivalent to the sum of the squares of its diagonals plus four times the square of the line joining the middle points of the diagonals. 4. (a) Prove the ratio of the altitude of an equilateral triangle to the sides. (b) Find the area of... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Modern - 1911 - 266 pages
...harmonically. (287, 288.) Ex. 745. The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the midpoints of the diagonals. (320.) * Ex. 746. If, from a point within the triangle ABC the perpendiculars... | |
 | John Fenner Brown - 1911 - 136 pages
...^-v/2(b3-i-ca)— ra to side b - ii to side c = The sum of the squares ot a quadrilateral's sides equals the sum of the squares of the diagonals plus four times the square of the line connecting their middle points. To Compute the Segments into which Either Side of a Triangle is Divided... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...harmonically. (301, 302.) * Ex. 1076. The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the mid-points of the diagonals. (337.) * Ex. 1077. If from a point within the triangle ABC the perpendiculars... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...harmonically. (301, 302.) * Ex. 1076. The sum of the squares of the four sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the mid-points of the diagonals. (337.) * Ex. 1077. If from a point within the triangle ABC the perpendiculars... | |
 | Alexander Ziwet, Louis Allen Hopkins - Geometry, Analytic - 1913 - 391 pages
...quadrilateral bisect each other. 18. The sum of the squares of the sides of a quadrilateral is .equal to the sum of the squares of the diagonals plus four times the square of the line segment joining the midpoints of the diagonals. 19. The difference of the squares of any two sides... | |
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The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals. 
