 | Euclid - 1835 - 540 sider
...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, the straight line drawn from the vertex to the point of section divides the outward angle of the triangle... | |
 | John Playfair - 1836 - 488 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 front the vertex to the point of section bisects the vertical angle. Let the angle BAC, of any triangle... | |
 | John Playfair - 1836 - 148 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 have to... | |
 | 1836 - 488 sider
...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 triangle have, the straight line, drawn from the vertex to the point of section, bisects the exterior angle of the... | |
 | John Playfair - 1837 - 332 sider
...triangle lie bisected by a straight line which also cuts the lose ; 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 have to... | |
 | Euclid, James Thomson - 1837 - 410 sider
...one another, as the other sides of the triangle have : and (2.) if the segments of the base produced, have the same ratio which the other sides of the triangle have, the straight line drawn from the vertex to the point of section bisects the exterior angle of the triangle.... | |
 | Andrew Bell - 1837 - 290 sider
...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, the straight line drawn from the vertex to the point of section bisects the exterior angle of the triangle.... | |
 | William Whewell - 1837 - 226 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... | |
 | Robert Simson - 1838 - 434 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...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 - 82 sider
...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 the opposite side produced, that... | |
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... of the base have the same ratio which the other sides of the triangle have to one... 
