 | Isaac Sharpless - 1879 - 282 pàgines
...(7 * + CB * by 25(7. CD. Proposition 8. Theorem.—In every triangle the square of the side opposite an acute angle, is less than the sum of the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the line between the acute angle and the foot of... | |
 | Joseph Wollman - 1879 - 120 pàgines
...produced, a perpendicular be drawn from the opposite angle ; the square of the side subtending the acute angle is less than the sum of the squares of the sides containing the acute angle, by twice the rectangle contained by the side on which the perpendicular falls, and... | |
 | 1882 - 376 pàgines
...draw a right line bisecting the area of the triangle. 4. In any triangle, prove that the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle under either of these sides and the intercept... | |
 | 1882 - 486 pàgines
...therefore the triangle DHK is also one-fourth of ABC. (QED) 8. In any triangle, prove that the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the... | |
 | James Andrew Blaikie, William Thomson - 1891 - 160 pàgines
...squares of the sides of the figure FGHKED is 8BC2. See Ex. 11 (3). 19. In any triangle the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle. Use Euc. I. 47 and I. 24. 20. In an obtuse-angled triangle the... | |
 | Henry Martyn Taylor - 1893 - 486 pàgines
...AB, together with twice the square on BC. BOOK II. PROPOSITION 13. In any triangle, the square on a side subtending an acute angle, is less than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the... | |
 | 1894 - 788 pàgines
...World.vict akerofth« Baltic and the ' a"79 °f the happier d, ?reat Worl 6. In any triangle the square on a side subtending an acute angle is less than the sum of the squares on the sides containing that angle by twice a certain rectangle. Specify the rectangle and prove the... | |
 | John Macnie - 1895 - 390 pàgines
...projection, and PB is the projection of AB. PROPOSITION XII. THEOREM. 350. In any triangle, the square of a side subtending an acute angle is less than the sum of the squares of the other sides by twice the rectangle contained by either of these sides and the projection upon it of... | |
 | 1898 - 830 pàgines
...base, it bisects every parallel to the base (4 marks'). 4. Prove that in any triangle the square of a side subtending an acute angle is less than the sum of the squares of the other sides by twice the rectangle contained by either of those sides and the straight line intercepted... | |
 | 1899 - 166 pàgines
...must be satisfied in each of the first two parts of the Paper.) 1. In any triangle, the square on a side subtending an acute angle, is less than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the... | |
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In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the... 
