 | United States. Military Information Division. War Department - 1896 - 194 pages
...coefficients and sum of the same coefficients with alternate signs. 3. Geometry. — No. 2 — The sum of the squares of the sides of a quadrilateral is equal to the sum of the squares of the diagonals increased by four times the square of the segment which unites the middle... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...quadrilateral form a parallelogram. 3. The perimeter of the parallelogram formed by joining the middle points of the sides of a quadrilateral is equal to the sum of the diagonals of the quadrilateral. 4. The parallelogram formed by joining the middle points of the sides... | |
 | 1902 - 170 pages
...might be included in this proposition 1 ANNUAL EXAMINATION. \. Shew that the sum of the squares on the sides of a quadrilateral is equal to the sum of the squares on the diagonals, together with four times the square on the line joining the middle points... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...use similar triangles.] Ex. 11. 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 midpoints of the diagonals. EXERCISES. GROUP 34 INDIRECT DEMONSTRATIONS Ex. 1. If the sum of the squares... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...use similar triangles.] .Ex. 11. 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 midpoints of the diagonals. EXERCISES. CROUP 34 INDIRECT DEMONSTRATIONS Ex. 1. If the sum of the squares... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 pages
...side, increased by twice the square on the median to that side. Prop. 95. The sum of the squares on the sides of a quadrilateral is equal to the sum of the squares on the diagonals together with four times the square of the lines joining the middle points... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 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 the mid-points of the diagonals. PLANE GEOMETRY — BOOK IV PROPOSITION XI. PROBLEM 423 To construct a... | |
 | 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.... | |
 | 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... | |
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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. 
