| Euclides - 1845 - 546 pages
...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...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 - 1846 - 292 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, Let ABC be any triangle, and the angle at B one... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 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. Let ABC be any triangle, and the angle at B one... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...triangle^ the square of the side sub-tending either 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. Prop. 46. Prop. 39. Prop. is. P J, 47 Fig. 1.... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...triangle^ the square of the side sttbtending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either oj these sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| Education - 1847 - 508 pages
...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 of those sides, aud the straight line intercepted between the acute angle and the perpendicular let fall... | |
| Great Britain. Council on Education - Education - 1848 - 534 pages
...line. 2. In any triangle the square of the side subtending any acute angle 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 ; prove only the first case of this proposition.... | |
| Great Britain. Committee on Education - Education - 1848 - 514 pages
...line. 2. In any triangle the square of the side subtending any acute angle 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 ; prove only the first case of this proposition.... | |
| Euclides - 1848 - 52 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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK... | |
| J. Goodall, W. Hammond - 1848 - 390 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of... | |
| |