 | 1894 - 788 pages
...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...squares on the sides containing that angle by twice a certain rectangle. Specify the rectangle and prove the proposition. 7. When two circles touch one... | |
 | 1895 - 800 pages
...a right angle. Construct a square equal to two given squares. 5. In any triangle the square on any side subtending an acute angle is less than the sum...sides containing that angle by twice the rectangle contained by either of them and the intercept between the acute angle and the foot of the perpendicular... | |
 | John Macnie - Geometry - 1895 - 390 pages
...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... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...contained by the whole and one part may be equal to the square on the other part. 6. In every triangle, the square on the side subtending an acute angle is less than the squares on tho sides containing that angle, by twice the rectangle contained by either of these sides... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...every acute-angled triangle, the square on th« side subtending any one of the angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let... | |
 | 1897 - 772 pages
...4. Construct a rectangle equal to a given triangle. 6. In any triangle the square on a side opposite an acute angle is less than the sum of the squares on the other sides by a certain area. State what this area is, and prove the proposition. Show also by means... | |
 | 1898 - 830 pages
...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... | |
 | 1899 - 166 pages
...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 side intercepted... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...projection of a straight line given on p. 153, we may enunciate Prop. 13 as follows ; In every triangle, the square on the side subtending an acute angle is...sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other side upon it. (ii) Comparing the Enunciations... | |
 | 1900 - 650 pages
...lines cannot be drawu from the given point to the circumference. 4. In any triangle the square on any side subtending an acute angle is less than the sum...sides containing that angle, by twice the rectangle contained by either of them and the intercept between the acute angle and the foot of the perpendicular... | |
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In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let... 
