 | Education - 1844 - 688 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 one to another ; and if the segments have the same ratio which the sides have, the straight line drawn... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 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 ; then... | |
 | Euclides - 1845 - 546 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 conversely, if the segments of the base have the same ratio which the other sides... | |
 | Euclid - Geometry - 1845 - 218 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... | |
 | Scottish school-book assoc - 1845 - 444 pages
...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 - 292 pages
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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 - Geometry - 1846 - 168 pages
...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 - Geometry - 1846 - 128 pages
...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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... extremities of the base shall have the same ratio which the other sides of the triangle have to one... 
