| John Playfair - 1837 - 318 pagina’s
...PROP. III. THEOR. If the angle of a triangle lie bisected by a straight line which also cuts the lose ; **the segments of the base shall have the same ratio...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... | |
| Andrew Bell - 1837 - 240 pagina’s
...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.... | |
| Euclid - 1837 - 390 pagina’s
...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.... | |
| Euclides - 1841
...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 - 1842 - 317 pagina’s
...are between the same parallels (39. 1.) ; therefore DE is parallel to BC. PROP. III. THEOR. If the **angle of a triangle be bisected by a straight line...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... | |
| Euclides - 1842
...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... | |
| 1844
...equal to a given rectilineal angle. 12. If the angle of a triangle be divided into two equal angles, **by a straight line which also cuts the base, the segments...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... | |
| John Playfair - 1844 - 317 pagina’s
...parallel to BC. PROP. III. THEOR. If the angle of a triangle be bisected by a straight line whichalso **cuts the base ; the segments of the base shall have...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... | |
| 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... | |
| James Thomson - 1845 - 358 pagina’s
...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.... | |
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