| Euclides - 1842 - 316 pages
...вc, CD. Therefore, in obtuseangled triangles, &c. QED PROP. XIII. THEOR. the sides containing that angle, by twice the rectangle contained by either...straight 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... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...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...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,... | |
| James Bates Thomson - Geometry - 1844 - 268 pages
...subtending either of the acute angles, is less than the sum of the squares of the other two sides, by twice the rectangle contained by either of these...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. PROPOSITION XIII. THEOREM. In a triangle... | |
| Euclid - Geometry - 1845 - 218 pages
...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...straight 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... | |
| Euclides - 1845 - 546 pages
...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...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,... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...side sub-tending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either...straight 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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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...straight 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... | |
| Euclides - 1846 - 292 pages
...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...straight 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... | |
| Great Britain. Council on Education - Education - 1848 - 532 pages
...square of the side subtending any acute angle is less than the squares of the sides containing that angle by twice the rectangle contained by either of...straight 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
...square of the side subtending any acute angle is less than the squares of the sides containing that angle by twice the rectangle contained by either of...straight 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.... | |
| |