 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Encyclopedias and dictionaries - 1911 - 1124 pages
...cos |x cos \y cos \z. This theorem is analogous to the theorem for any plane quadrilateral, that the sum of the squares of the sides is equal to the sum of the squares of the diagonals, together with twice the square on the straight line joining the middle points... | |
 | Encyclopedias and dictionaries - 1911 - 1096 pages
...cos Jxcos lycos ji. This theorem is analogous to the theorem for any plane quadrilateral, that the sum of the squares of the sides is equal to the sum of the squares of the diagonals, together with twice the square on the straight line joining the middle points... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...finish the demonstration. V THEOREM 29 The sum of the squares of the sides of any quadrilateral equals the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals. Draw a very irregular quadrilateral. Connect the middle... | |
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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. 
