 | William James Milne - Geometry, Modern - 1899 - 258 pages
...the diagonals of a parallelogram is equivalent to the sum of the squares on its four sides. Ex. 582. Three times the sum of the squares on the sides of a triangle is equivalent to four times the sum of the squares on the medians of the triangle. Ex. 583. Two sides... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...the hypotenuse is equal to five times the square on the line between the points of trisection. 33. Three times the sum of the squares on the sides of a triangle ia equal to four times the sum of the squares on the medians. 34. ABC is a triangle, and O the point... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, AC'2 = AB2 + BC2 + AB x BC. Ex. 742.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, A~C2 = AB2 + BC2 + AB x BC. Ex. 742.... | |
 | Arthur Schultze - 1901 - 260 pages
...an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 00°, AC2 = AB2 + BC2 + ABx BC. Ex. 742.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, AC* = AB* + .BC2 + AB x BC. Ex. 742.... | |
 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...Exercise 27, BD is drawn to a point D on the prolonged base, then - - — A DC* = AB* + AD x DC. 29. Three times the sum of the squares on the sides of a triangle is equivalent to four times the sum of the squares on its medians. [§665.] 80. If the base a of a triangle... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...difference of the squares on two given line-segments. 9. Five times the square on the hypotenuse of a right triangle is equal to four times the sum of the squares on the medians to the other two sides. 10. Three times the square on any side of an equilateral triangle is... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...the hypotenuse is equal to five times the square on the line between the points of trisection. 33. Three times the sum of the squares on the sides of...equal to four times the sum of the squares on the medians. 34. ABC is a triangle, and O the point of intersection of its medians : shew that AB2+BC2... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...if BE, CF are drawn perpendicular to AC, AB respectively, prove that BC2=AB.BF + AC.CE. y' \./\ 9. Three times the sum of the squares on the sides of...equal to four times the sum of the squares on the medians. 10. ABC is a triangle, and O the point of intersection of its medians : shew that AB3+ BC2... | |
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Prove that three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares on the lines drawn from the vertices to the middle points of the opposite sides. 
