 | Sandhurst roy. military coll - 1859 - 672 pages
...divided into two equal parts by a straight line which also cuts the base, the segments of the base shall have the same 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 pages
...PROPOSITION A. THEOREM. If the exterior angle of a triangle be bisected by a straight line -which also cute the base produced, the segments between the bisecting...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal angles, by a straight line, which aha cuts the base produced ; the segments between the dividing line and the extremities of the base, have the same...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 - Mathematics - 1860 - 240 pages
...equal angles by a straight line which also cuts the base produced ; the segments between the dividing line and the extremities of the base have the same...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 pages
...If a straight line drawn from the vertex of a triangle cuts the base produced, BO that its segments have the same ratio which the other sides of the triangle have. If both the exterior angle and the adjacent interior angle of a triangle be bisected by straight lines... | |
 | Euclides - 1861 - 464 pages
...angles, by a st. line, which also cuts the base produced ; the segments between the dividing line and ibe extremities of the base, have the same ratio which the other sides of fIie triangle have to one another ; and conversely, if the segments of the base produced have the same... | |
 | Robert Potts - 1863 - 482 pages
...divided into two equal angles by a straight line which also cuts the base, the segments of the base shall have the same ratio which 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 pages
...equal angles by a straight line which also cuts the base produced, the segments between the dividing line and the extremities of the base have the same...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... | |
 | Euclides - 1864 - 448 pages
...other sides of the triangle have to one another : and converselg, 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... | |
 | Euclides - 1865 - 402 pages
...angles, by a straight line, which also cuts the base produced ; then the segments between the dividing line and the extremities of the base, have the same ratio which the other sides of the triangle hare to one another ; and conversely, if the segments of the base produced have the same ratio which... | |
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... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... 
