| Braithwaite Arnett - 1874
...circumscribing circles. 5. Inscribe an equilateral and equiangular hexagon in a given circle. 6. If an **angle of a triangle be bisected by a straight line...the other sides of the triangle have to one another.** 7. Similar triangles are to one another in the duplicate ratio of their homologous sides. 8. A and... | |
| Euclides - 1874
...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... | |
| Robert Potts - 1876 - 403 pagina’s
...of which it is the segment. 3. If the vertical 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.** 4. In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles... | |
| Education Department,London - 1876
...eight times either of the other two. 2. 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.** If all the angles of a triangle be thus divided, the continued product of three alternate segments... | |
| James Hamblin Smith - 1876 - 348 pagina’s
...that AD is to DB as AC is to OB. And Conversely, If the segments of the base produced have the so/me **ratio, which the other sides of the triangle have to one another,** the straight line drawn from the. vertex to the point of section must lisect the exterior angle of... | |
| Samuel H. Winter - 1877
...straight line, ,and find the angles which this line makes with the two sides of the original triangle. 8. **If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another.** If ABC be the triangle, A the vertical angle, BE and CE the segments of the base, and if circles be... | |
| D. Tierney - 1877
...sides AB and AC of the given triangle. 8. 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.** If ABC be the triangle, A the vertical angle, BE, CE the segments of the base, and if circles be described... | |
| 1878
...Describe a square about a given circle. 6. 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.** Given the base and the ratio of the sides of a triangle, find the locus of its vertex. 7. Draw a straight... | |
| Euclides, James Hamblin Smith - 1878 - 349 pagina’s
...produced, the segments, between tin dividing straight line and the extremities of the base, must hat' **the same ratio, which the other sides of the triangle have to** oia another. B Let i EAC, an ext' / of the A ABC, be bisected by the st. line AD which meets the base... | |
| University of Oxford - 1879
...describe a triangle equiangular to a given triangle. 6. Define ratio, proportion, ex aequali, and part. 7. **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... | |
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