 | John Playfair - 1837 - 332 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 - 290 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, James Thomson - 1837 - 410 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 - 378 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 divides the outward angle of the triangle... | |
 | John Playfair - 1842 - 332 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 - 316 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 divides the outward angle of the... | |
 | 1844 - 688 pagina’s
...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 - 338 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... | |
 | Scottish school-book assoc - 1845 - 444 pagina’s
...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... | |
 | Euclid, James Thomson - 1845 - 382 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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If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the... 
