 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 ページ
...circumference described upon the arm of an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of...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. If the... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 ページ
...circumference described upon the arm of an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of...equal to four times the sum of the squares of the medians. Ex. 741. If in the parallelogram ABCD ZA = 60°, AC* = AB 2 + BC 2 + AB x BC. Ex. 742. If... | |
 | Arthur Schultze - 1901 - 260 ページ
...circumference described upon the arm of an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of...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. If the... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 ページ
...circumference described upon the arm of an isosceles triangle as a diameter bisects the base. Ex. 740. Three times the sum of the squares of the sides of...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. If the... | |
 | Euclid - 1904 - 488 ページ
...the square on the line between the points of trisection. 33. 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 medians. 34. ABC is a triangle, and O the point of intersection of its medians : shew that AB2+BC2... | |
 | Fletcher Durell - 1911 - 553 ページ
...the circumferences, the chords intercepted in the two circles are to each other as the radii. Ex. 14. Three times the sum of the squares of the sides of a triangle equals four times the sum of the squares of the medians. 0 Ex. 15. Find the locus of the midpoints... | |
 | Henry Sinclair Hall - 1908 - 286 ページ
...AC, AB respectively, prove that BC2=AB.BF + AC.CE. y' \./\ 9. 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 medians. 10. ABC is a triangle, and O the point of intersection of its medians : shew that AB3+... | |
 | Clement Vavasor Durell - 1909 - 244 ページ
...triangle ABC and is a mean proportional between AB, AC ; prove that a = */2 (b** c). 49. Prove that three times the sum of the squares of the sides of...equal to four times the sum of the squares of the medians. 50. If ABCD is a parallelogram, prove that 51. P, Q are the mid-points of the diagonals AC,... | |
 | Clement Vavasor Durell - 1909 - 244 ページ
...the triangle ABC and is a mean proportional between AB, AC; prove that <z = s/2 (b~c). 49. Prove that three times the sum of the squares of the sides of...equal to four times the sum of the squares of the medians. 50. If ABCD is a parallelogram, prove that 51. P, Q are the mid-points of the diagonals AC,... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 284 ページ
...the medians of a triangle is equal to three-fourths the sum of the squares of the sides. Ex. 295. The sum of the squares of the sides of a triangle is equal to three times the sum of the squares of the lines from the centroid to the vertices. PROPOSITION XLIV.... | |
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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. 
