 | Euclid, John Playfair - 1846 - 334 páginas
.... PROP. XIII. THEOR. 9 In every triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...sides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
 | Euclides - 1848 - 52 páginas
...PROP. XIII. THEOREM. In every triangle, the square of the side subtending any of the acute angles, is less than the squares of the sides containing that...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK III. DEFINITIONS. I. EQUAL circles... | |
 | Great Britain. Committee on Education - 1848 - 514 páginas
...is equal to the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less than the squares of the sides...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle ; prove only the first case... | |
 | Great Britain. Council on Education - 1848 - 532 páginas
...is equal to the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less than the squares of the sides...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle ; prove only the first case... | |
 | Great Britain. Committee on Education - 1848 - 606 páginas
...of the side subtending either of the acute angles is less than the square of the sides containing it by twice the rectangle contained by either of these...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of this proposition need be demonstrated.)... | |
 | Great Britain. Council on Education - 1848 - 596 páginas
...of the side subtending either of the acute angles is less than tbe square of the sides containing it by twice the rectangle contained by either of these...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of this proposition need be demonstrated.)... | |
 | J. Goodall, W. Hammond - 1848 - 390 páginas
...square of the side subtending any acute angle is less than the squares of the sides containing the angle by twice the rectangle contained by either of...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle;—prove only the first... | |
 | Home and colonial school society - 1848 - 412 páginas
...the squares of the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. " Investigate the polar equation to a parabola. " Investigate... | |
 | Euclid, Thomas Tate - 1849 - 120 páginas
...squares c PROP. XIII. THEOR. In every triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
 | 1850 - 488 páginas
...the squares of the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 4. The sides about the equal angles of equiangular triangles... | |
| |
Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either... 
