| W. Davis Haskoll - 1858 - 324 pagina’s
...one side will be to its adjacent segment of the base as the other side is to the other segment, and **the segments of the base shall have the same ratio...the other sides of the triangle have to one another.** Any two triangles having an equal angle in each, contained by proportional sides, are similar to each... | |
| Sandhurst roy. military coll - 1859 - 1869 pagina’s
...equiangular pentagon in a given circle. 8. If the angle of a triangle be divided into two equal parts **by a straight line which also cuts the base, the segments...ratio which the other sides of the triangle have.** 9. Shew how to measure on the ground the angle contained between any two inaccessible lines. 10. Through... | |
| Euclides - 1860
...base are between fhe same parallels (I. 89)} therefore DE is parallel to BC. PEOPOSITION HI. THEOHEM. **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... | |
| Henry William Watson, Edward John Routh - 1860
...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.** If the two sides, containing the angle through which the bisecting line is drawn, be equal, interpret... | |
| Robert Potts - 1860 - 361 pagina’s
...aha 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 conversely, if the segments of the base produced have the same ratio which the other sides of the... | |
| Henry William Watson, Edward John Routh - 1860 - 198 pagina’s
...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.** If the two sides, containing the angle through which the bisecting line is drawn, be equal, interpret... | |
| Eucleides - 1860
...(ABC) be bisected by a straight line (AD) which also cuts the base, the segments of the base (BD, DC) **shall have the same ratio which the other sides of the triangle** (AB, AC) have to one another. [2.] And if a straight line (AD) drawn from any angle of a triangle (ABC)... | |
| Euclides - 1861
...other sides of fIie 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 st. line drawn from the vertex to the point of section, divides the outward angle of the triangle... | |
| 1863
...that P, R, Q are in one straight line. 3. If the angle of a triangle be divided into two equal angles **by a straight line which also cuts the base, the segments...the other sides of the triangle have to one another** ; and conversely. Given the base of a triangle and the point where the line bisecting the exterior... | |
| 1864
...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.** 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their... | |
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