| 1844
...into two equal angles, by a straight line which also cuts the base, the segments of the base shall **have the same ratio which the other sides of the triangle have** one to another ; and if the segments have the same ratio which the sides have, the straight line drawn... | |
| Euclid, James Thomson - 1845 - 352 sider
...the triangle have : and (2) if the segments of the base have the same ratio as the adjacent sides, **the straight line drawn from the vertex to the point of section, bisects the** vertical angle. 1. Let the angle BAC of the triangle ABC be bisected by the straight line AD ; then... | |
| Euclides - 1845
...into two equal angles, by a straight line which also cuts the base ; the segments of the base shall **have the same ratio which the other sides of the triangle have** to one another : and conversely, if the segments of the base have the same ratio which the other sides... | |
| Euclid - 1845 - 199 sider
...into two equal angles, by a straight line which also cuts the base, the segments of the base shall **have the same ratio which the other sides of the triangle have** to one another : and if the segments of the base have the same ratio which the other sides of the triangle... | |
| Scottish school-book assoc - 1845
...DC, which have the same ratio as the other sides, BA, AC ; and if the seg- B DC incuts of the base **have the same ratio ' which the other sides of the triangle have** to each other, the right line drawn from the vertex to the point of section divides the vertical angle... | |
| Euclides - 1846
...extremities of the base shall have the same ratio which the other sides of the triangle have to one another : **and if the segments of the base produced have the...same ratio which the other sides of the triangle have** to one another, the straight line drawn from the vertex to the point of section shall bisect the exterior... | |
| John Playfair - 1846 - 317 sider
...extremities of the base have the same ratio which the other sides of the triangles have to one another ; **And if the segments of the base produced have the same ratio which the other sides of the** triangles have, the straight line, drawn from the vertex to the point of section, bisects the exterior... | |
| Great Britain. Admiralty - 1846
...divided into two equal angles, by a straight line which cuts a side ; the segments of that side will **have the same ratio which the other sides of the triangle have** to each other. 55. The four triangles into which a trapezium is divided by its diameters, are proportionals.... | |
| Dennis M'Curdy - 1846 - 138 sider
...point and each extremity of the base shall have the same ratio as the other sides of the triangle. **And if the segments of the base produced have the same ratio** as the other sides, the straight line drawn from the vertex bisects the exterior angle. Given the triangle... | |
| Great Britain. Admiralty - 1846
...divided into two equal angles, by a straight line which cuts a side; the segments of that side will **have the same ratio which the other sides of the triangle have** to each other. 55. The four triangles into which a trapezium is divided by its diameters, are proportionals.... | |
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