 | Richard Wormell - Geometry, Plane - 1883 - 210 pages
...rect. AC - CD ; = rect. AC (AC = 2 CD) = rect. (AD + CD) (AD = CD) = diff. of sqrs. on AD and D C. 112. Three times the sum of the squares on the .sides of...triangle is equal to four times the sum -of the squares of the lines joining the middle point of .each side with the opposite angle, (See fig. of Example 14.)... | |
 | Mathematical association - 1884 - 146 pages
...squares on the segments of the hypotenuse is equal to the square on the remaining side. 42. Prove that three times the sum of the squares on the sides of...equal to four times the sum of the squares on the lines drawn from the vertices to the middle points of the opposite sides. 43. The hypotenuses of three... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...squares on the segments of the hypotenuse is equal to the square on the remaining side. 42. Prove that three times the sum of the squares on the sides of...equal to four times the sum of the squares on the lines drawn from the vertices to the middle points of the opposite sides. 43. The hypotenuses of three... | |
 | Euclides - 1884 - 434 pages
...greater than three times the sum of the rectangles contained by every two of the straight lines. 18. The sum of the squares on the sides of a triangle is less than twice the sum of the rectangles contained by every two of the sides. 19. If one side of a... | |
 | Education - 1885 - 630 pages
...prospectus of the Rev. E. Fowle's Latin Books. They are excellent. Geometry. i. BOI.DMERE. — Show that three times the sum of the squares on the sides of...equal to four times the sum of the squares on the lines drawn from the vertices to the middle points oí the opposite sides. (2nd Stage Mathematics,... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...perpendicular lines passing through 0 intercept chords AB, CD on the circle; then AB2 + CD2 + 40E2 = 8E2. 54. The sum of the squares on the sides of a triangle is equal to twice the sum of the rectangles contained by each perpendicular mid the portion of it comprised between... | |
 | Euclides - 1885 - 340 pages
...perpendicular lines passing through O intercept chords AB, CD on the circle; then AB' + CD2 + 4OE2 = 8BA 54. The sum of the squares on the sides of a triangle is equal to twice the sum of the rectangles contained by each perpendicular and the portion of it comprised between... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...the sum of the squares on the five sects joining, in order, the midpoints of those diagonals. 164. The sum of the squares on the sides of a triangle is less than twice the sum of the rectangles contained by every two of the sides. 165. If from the hypothenuse... | |
 | John Casey - Geometry - 1886 - 262 pages
...= 4AE2 + 4EF2 +4FB2 = AC2 +BD2 + 4EF2. Prop. 5. — Three times the sum of the squares of the fides of a triangle is equal to four times the sum of the squares of the lines bisecting the sides of the triangle. Dem. — Let D, E, F be the middle points of the... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...the sum of the squares on the five sects joining, in order, the midpoints of those diagonals. 164. The sum of the squares on the sides of a triangle is less than twice the sum of the rectangles contained by every two of the sides. 165. If from the hypothenuse... | |
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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. 
