 | Euclides - 1865 - 402 pages
.... . . . . n. 12. 2. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle, by twice the rectangle under either of these sides, and the straight line intercepted between the acute angle and the perpendicular... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...twice the rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...twice the rectangle BC, CD. Wherefore, in obtuse-angled triangles &c. QED PROPOSITION 13. THEOREM. In every triangle, the square on the side subtending...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted 'between the perpendicular let fall on it from the opposite... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...THEOREM 31. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle by twice the rectangle contained by either of these sides and the projection on it of the other side ........ 65 Exercises on equivalent figures... | |
 | 1868 - 876 pages
...every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular (let fall upon it from the... | |
 | Robert Potts - 1868 - 434 pages
...PROPOSITION XIII. THEOREM. Jn every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twicp, the rectangle contained by either of these sides, and the straight line intercepted behceen... | |
 | Euclides - 1871 - 136 pages
...— • " In oblique-angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other on it." The enunciation of Prop. xin. might be altered... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...: — " In oblique.angled triangles, the square on the side subtending the obtuse angle is greater than the squares on the sides containing that angle, by twice the rectangle contained by one of these sides and the projection of the other on it." The enunciation of Prop. xni. might be altered... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...Q on AB exceeds the sum of the Ds on AC and CB by twice the rect. AC, C D. PROPOSITION XIII. In any triangle the square on the side subtending an acute angle is less than the sum ot the squares on the sides containing that angle by twice the rectangle contained by either of... | |
 | University of Madras - 1873 - 436 pages
...AD, 1)C is equal to the rectangle EB, BF. PART II. VII. In every obtuse angled triangle, prove that the square on the side subtending an acute angle is...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
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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... 
