 | Association for the improvement of geometrical teaching - 1884 - 150 σελίδες
...squares on AB and AC is double the sum of the squares on BD and DA. QED Ex. 23. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. Ex. 24. The sum of the squares on the sides of any quadrilateral 'WM ,'•... | |
 | Mathematical association - 1884 - 146 σελίδες
...squares on AB and AC is double the sum of the squares on BD and DA. QED Ex. 23. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. Ex. 24. The sum of the squares on the sides of any quadrilateral is greater... | |
 | Euclides - 1885 - 340 σελίδες
...that prove that the middle point of AD is equally distant from B andC. 6. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on its diagonals. PEOP. XI.— PROBLEM. To divide a given finite line (AB) into two segments... | |
 | Euclid, John Casey - 1885 - 340 σελίδες
...that prove that the middle point of AD is equally distant from B and C. 5. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on its diagonals. PEOP. XI.— PROBLEM. To divide a given finite line (AB) into two segments... | |
 | George Shoobridge Carr - 1886 - 1036 σελίδες
...times the square of the line joining the middle points of the diagonals. (922, i.) 925 Сов. — The sum of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals. 926 In a given line AG, to find a point X whose distance from a point P shall... | |
 | New York (State). Department of Public Instruction - 1887 - 268 σελίδες
...triangle, when the altitude, the vertical angle, and one of the sides are given. 4. Prove that the sura of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals. 5. Describe a circle which shall pass through three given points not in the... | |
 | 1887 - 644 σελίδες
...hase and on the line joining the vertex to the middle point of the base. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals. 2. Angles in the same segment of a circle are equal to one another. Two chords... | |
 | George Albert Wentworth - 1889 - 276 σελίδες
...to twice the product of the third side and the projection of the median upon the third side. 22. The sum of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals (Ex. 19.) 23. The sum of the squares of the sides of any quadrilateral is... | |
 | George Albert Wentworth - 1889 - 264 σελίδες
...to twice the product of the third side and the projection of the median upon the third side. 22. The sum of the squares of the sides of a parallelogram is equal to the sum of the squares of the diagonals (Ex. 19.) 23. The sum of the squares of the sides of any quadrilateral is... | |
 | Euclid - 1890 - 442 σελίδες
...which the quadrilateral is a parallelogram, when the Theorem becomes — The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on its diagonals. THEOREM (13) — In any triangle three times the sum of the squares on its... | |
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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. 
