 | Sandhurst roy. military coll - 1859 - 672 pages
...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 pages
...therefore DE is parallel to BC. PEOPOSITION HI. THEOHEM. If the vertical angle of a triangle be bisected by a straight line which also cuts the base, the segments...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 one another,... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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...another: and conversely, if the segments of the base produced have the same ratio which the other sides of the tria-nglc have; the straight line drawn from... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...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... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...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 pages
...(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 pages
..."If an angle of a triangle be cnt into two equal parts, and the st. line cutting the angle cuts also the base, the segments of the base shall have the same ratio to the other sides of the triangle; and if the segments of the base have the same ratio to the other... | |
 | Robert Potts - 1863 - 482 pages
...quadrilateral circles are described meeting again in R ; shew that P, R, Q are in one straight line. 3. If the angle of a triangle be divided into two equal...the triangle have to one another ; and conversely. Given the base of a triangle and the point where the line bisecting the exterior vertical angle cuts... | |
 | Henry White - 1864 - 156 pages
...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... | |
 | 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... | |
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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 same ratio which the other sides of the triangle have to one another... 
