 | W. Davis Haskoll - 1858 - 422 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 - 672 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 - 288 pagina’s
...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 - 240 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... | |
 | Robert Potts - 1860 - 380 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 - 240 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 - 396 pagina’s
...(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 - 464 pagina’s
...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... | |
 | Robert Potts - 1863 - 482 pagina’s
...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... | |
 | Henry White - 1864 - 156 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. 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their... | |
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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... 
