 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...a triangle be bisected by a straight line, which also cuts the base, the segments of the base must have the same ratio, which the other sides of the triangle have to one another. X Let / BAC of A ABC be bisected by the st. line AD, .which meets the base in D. Then must BD be to... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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 - 342 pages
...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 - Geometry - 1876 - 446 pages
...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 - 1010 pages
...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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 - 452 pages
...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 - 126 pages
...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... | |
 | Civil service - 1878 - 228 pages
...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 - 1878 - 398 pages
...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... | |
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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... 
