 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...evanescence, and to which we can make the sum approach as near as we please. Cor. 4. — Since the difference of the squares on the sides of a triangle is equal to the difference of the squares on the segments of the base, made by a perpendicular from the vertex... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...of the line joining their points of bisection. 14. 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 of the sides drawn from the vertices of the triangle. 15. Prove that the sum of the... | |
 | Richard Wormell - 1876 - 268 pages
...squares of AB, BC is equal to the difference of the squares of AD, D С. 112. Three times the sum oí 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 angle. 113. The squares on the... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...of the squares be joined ; the sum of the squares on the sides of the hexagonal figure thus formed is equal to four times the sum of the squares on the sides of the triangle. VII. 54. Find the side of a square equal to a given equilateral triangle. f... | |
 | James McDowell - 1878 - 310 pages
...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 pages
...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 - Euclid's Elements - 1880 - 426 pages
...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 pages
...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...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, in equal... | |
 | John Casey - Geometry - 1882 - 186 pages
...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 - Geometry - 1882 - 222 pages
...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,... | |
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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. 
