 | John Casey - 1886 - عدد الصفحات: 262
...and the sum of the squares of the sides in magnitude, the locus of the vertex is a 0 . Prop. 3. — The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its four Dem.— Let ABCD be the a. Draw CE || to BD ; £ produce AD to meet... | |
 | John Casey - 1888 - عدد الصفحات: 279
...and the sum of the squares of the sides in magnitude, the locus of the vertex is a O . Prop. 3. — The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its four Dem.— Let ABCD be the a. Draw CE || to BD ; produce AD to meet... | |
 | John Casey - 1895 - عدد الصفحات: 216
...and the sum of the squares of the sides in magnitude, the locus of the vertex is a O. Prop. 3. — The sum of the squares of the diagonals of a parallelogram is equal to the B c sum of the squares of its four Dem.— Let ABCD be the a. Draw CE || to BD ; produce AD to... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - عدد الصفحات: 348
...falls, and the straight line intercepted between the perpendicular and the obtuse angle. Show that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. (20.) 22. If a straight line be drawn from the centre of a circle... | |
 | Webster Wells - 1908 - عدد الصفحات: 329
...Ex. 34. The sides of a triangle are a + 5, 5-fc, c + a ; find the altitude to side a -\- b. Ex. 35. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the four sides of the parallelogram. [Project one line upon another.] Ex.... | |
 | Webster Wells - 1908 - عدد الصفحات: 208
...sides. Ex. 34. The sides of a triangle are a + b, 6+c, c + a; find the altitude to side a + 6. Ex. 35. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the four sides of the parallelogram. [Project one line upon another.] Ex.... | |
 | Webster Wells - 1908 - عدد الصفحات: 336
...sides. Ex. 34. The sides of a triangle are a + b, b + c, c + a; find the altitude to side a + 6. Ex. 35. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the four sides of the parallelogram. [Project one line upon another.] Ex.... | |
 | Joseph George Coffin - 1911 - عدد الصفحات: 308
...resultant. Find the resultant in the form r = xl + y J +2k and from this calculate its magnitude. 9. The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of the sides. 10. Parallelograms upon the same base and between same parallels... | |
 | John Roe - 1993 - عدد الصفحات: 324
...product to prove that for any two vectors u and v, u — v|2 + |u + v|2 = 2()u 2 + v| ). Deduce that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of a!t four sides. 6. Show that the perpendicular bisectors of the sides of... | |
 | Mario Como, Antonio Grimaldi - 1995 - عدد الصفحات: 266
...generalization of a result for parallelograms in two-dimensional geometry: the sum of the squares of the lengths of the diagonals of a parallelogram is equal to twice the sum of the squares of two adjacent sides (Fig. 2.5). If a norm does not satisfy (2.28) it cannot be obtained from an inner product... | |
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The sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its four Dem.— Let ABCD be the a. 
