 | Mathematics - 1836 - 488 pages
...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 - Geometry - 1836 - 148 pages
...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 - Geometry - 1837 - 410 pages
...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 - Euclid's Elements - 1837 - 290 pages
...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 - 226 pages
...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 - Geometry - 1838 - 434 pages
...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 - 82 pages
...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 - Geometry - 1841 - 378 pages
...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 - Euclid's Elements - 1842 - 332 pages
...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 - 316 pages
...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... | |
| |
... extremities of the base shall have the same ratio which the other sides of the triangle have to one... 
