 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...together with double the square on half the base. 8. Three times the sum of the squares on the three sides of a triangle is equal to four times the sum of the squares of the Hues drawn from the angles to bisect the opposite sides. 9. The difference between the squares... | |
 | Euclides - 1860 - 142 pages
...hypotenuse DE, and therefore (Ex. 2, Book II.) AC2 = AD • AE ; and hence AE is the line required. Three times the sum of the squares on the sides of...triangle, is equal to four times the sum of the squares on the three lines drawn from the angles to the middle of the opposite sides. Let ABC be a triangle, and... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...difficulty in drawing for himself the requisite figures in the cases where they are not given. 1. The tum 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... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...the difference of the squares of A B. BC, is equal to the difference of the squares of AD, DC. 10. 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 angles. 1 1 . The squares of the... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...the difference of the squares of AB, BC, is equal to the difference of the squares of AD, D C. 10. 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 angles. 1 1 . The squares of the... | |
 | Bombay city, univ - 1873 - 616 pages
...tangle contained by the whole and one of the parts may be equal to the square on the other part. 5. The sum of the squares on the sides of a triangle is 11 ual to twice the square on half the bass together with twice tVie square on the straight line which... | |
 | 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... | |
 | Euclides - 1874 - 342 pages
...the segments into which it is divided is equal to the square on the other side. 63. 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 opposite... | |
 | 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... | |
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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. 
