| Robert Potts - 1845
...other sides of the triangle have to one another : and conversely, 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... | |
| Euclid - 1845 - 199 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... | |
| Euclides - 1846
...same base DE ; therefore DE is parallel to BC. Wherefore, If a straight line $c. QED PROP. III. THEOR. **If the vertical angle of a triangle be bisected by...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... | |
| John Playfair - 1846 - 317 pagina’s
...parallel to BC. 124 PROP. ILL THEOR. If the angle of a triangle be bisected by a straight line whichalso **c.uts 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... | |
| 1846
...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.... | |
| 1846
...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.... | |
| Euclides - 1848
...other sides of the triangle have to one another : and conversely, 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 - 1849 - 317 pagina’s
...PROP. III. THEOR. If the angle of a triangle be bisected by a straight line which also cuts the bate ; **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 tame ratio which the other sides of the triangle have to... | |
| 1850
...inscribe a circle in a given triangle. 3. If the angle of a triangle be divided into two equal angles, **by a straight line which also cuts the base : the...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 of the triangle... | |
| FRANCIS J. JAMESON - 1851
...divided into two equal angles by a straight line, which also cuts the base, the segments of the base **have the same ratio which the other sides of the triangle have to one another,** (vi. 3.) (JB). If A, B, C, be three points in a straight line, and D a point at which AB and BC subtend... | |
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