 | James McDowell - 1878 - 310 pagina’s
...difference of the squares on AB and AC is equal to twice the rectangle under BC and DE. Q. i '.. I). 41. The sum of the squares on the sides of a triangle is equal to twice the square on half the base, together with twice tlie square on the bisector of base. In the... | |
 | Oxford univ, local exams - 1880 - 396 pagina’s
...Describe an isosceles triangle, having each of the angles at the base double of the third angle. 9. The sum of the squares on the sides of a triangle is equal to twice the square on half the base, together with twice the square on the straight line which joins... | |
 | Isaac Todhunter - 1880 - 426 pagina’s
...difficulty in drawing for himself the requisite figures in the cases where they are not given. 1. The surn of the squares on the sides of a triangle is equal to twice the square on ha^fthe base, together with twice the square on the straight line which joins the... | |
 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 pagina’s
...each other as ^/5 — 1 to 3 — ^/5. What is the simplest form of this ratio? (15.) 28. Show that three times the sum of the squares on the sides of...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. (20.) 29. Show that,... | |
 | John Casey - 1882 - 186 pagina’s
...2 = 4AE 2 + 4EF 2 +4FB 2 = AC 2 +BD 2 + 4EF 2 . Prop. 6. — 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 lines bisecting the sides of the triangle. Dem. — Let D, E, F be the middle points of the... | |
 | Samuel Constable - 1882 - 222 pagina’s
...greatest that can be inscribed in the triangle ABC. 16. Prove that 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 bisectors. square of half the base plus twice the square of the bisector of that base, we have,... | |
 | Richard Wormell - 1883 - 210 pagina’s
...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.)... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 pagina’s
...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...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. 43. The hypotenuses of... | |
 | Mathematical association - 1884 - 146 pagina’s
...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...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. 43. The hypotenuses of... | |
 | Euclides - 1884 - 434 pagina’s
...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... | |
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Three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles. 
