| Euclides - 1864 - 448 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute angles, **is less than the squares on the sides containing that...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle, Let ABC be any triangle,... | |
| Euclides - 1864 - 262 pages
...PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending either of the acute angles, **is less than the squares on the sides containing that...sides, and the straight line intercepted between the** acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,... | |
| Robert Potts - 1865 - 528 pages
...PROPOSITION Xm. THEOREM. In every triangle, the square on the side subtending eitJter of the acate angles, **is less than the squares on the sides containing that...sides, and the straight line intercepted between the** acute angle and the perpendicular let Jail upon it from the opposite angle. Let ABC be any triangle,... | |
| 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... | |
| 1868 - 886 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...line intercepted between the perpendicular (let fall** upon it from the opposite angle) and the acute angle 25 •J. From two given points on the same side... | |
| James Maurice Wilson - Geometry - 1868 - 132 pages
...projection of AB on the terminated line GF. THEOREM 30. In any triangle the square on a side opposite **an acute angle is less than the squares on the sides...angle by twice the rectangle contained by either of** those sides and the projection on it of the other side. Let AB C be a triangle, B an acute angle, BD... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...square on a side opposite an acute angle is less than the sum of the squares on the other two sides, **by twice the rectangle contained by either of these sides, and the** distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side,... | |
| 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... | |
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