| 1836 - 472 sider
...u triangle be bisected 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... | |
| John Playfair - 1836 - 114 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... | |
| Euclid, James Thomson - 1837 - 390 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 ; BD :... | |
| Andrew Bell - 1837 - 240 sider
...also cuts the base produced, the segments between the bisecting line and the extremities of the base **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... | |
| William Whewell - 1837 - 182 sider
...triangle ; and if the segments of the base produced are to each other as the other sides of the triangle, **the straight line drawn from the vertex to the point of section** divides the exterior angle of the triangle into two equal angles. *PROP. iv. The sides about the equal... | |
| Euclid, Robert Simson - 1838 - 416 sider
...segments of the base 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,** divides the vertical angle into two equal angles.* Let the angle BAC of any triangle ABC be divided... | |
| Euclides - 1840
...of the triangle; or, if the segments of the base be proportional to the other sides of the triangle, **the straight line drawn from the vertex to the point of section,** shall bisect the vertical angle. COR.—If a line, bisecting an external angle of a triangle, meet... | |
| Euclides - 1841 - 351 sider
...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 have** to one another, the straight line drawn from the vertex to the point of section, dirrides the vertical... | |
| John Playfair - 1842 - 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... | |
| Euclides - 1842
...also cuts the base produced ; the segments between the dividing line and the extremities of the base **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... | |
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