 | John Wesley Young, Frank Millett Morgan - Functions - 1917 - 586 pages
...the third side. 12. Prove that 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 distance between the middle points of the diagonals. 13. If A, B, C, D are four points of a line prove... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...of opposite sides are equal. 2. 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 on the line connecting their middle points. Suggestion. AE, CE, EF are medians of A ABD, BCD, and CEA,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...of opposite sides are equal. 2. 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 on the line connecting their middle points. Suggestion. AE, CE, EF are medians of & ABD, BCD, and CEA,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 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 Hue joining the mid-points of the diagonals. (337.) * Ex. 1077. If from a point within the triangle... | |
 | Claudi Alsina, Roger B. Nelsen - Education - 2006 - 202 pages
...quadrilaterals. Theorem. In any convex quadrilateral 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 distance between the midpoints of the diagonals. See Figure 20.4. = e2 +f2 + 4g2 FIGURE 20.4 Proof.... | |
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In any quadrilateral, the sum of the squares of the four sides 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. 
