 | Euclides - 1846 - 292 pages
...one of them ; and shew that there may, according to circumstances, be two solutions, one, or none. 7. Describe a circle which shall pass through two given points, and have its centre in a given line. 8. From two given points on the same side of a given line, draw two lines which shall meet in... | |
 | Euclides - 1858 - 248 pages
...points of a triangle. 2. To bisect a triangle by a line drawn from a given point in one of its sides. 3. Describe a circle which shall pass through two given points, and have its centre in a given line. 4. Through a given point to draw a line that shall be equally inclined to two given lines. 5.... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...Prop. 7. With a given radius, describe a circle which shall pass through two given points. Prop. 8. Describe a circle which shall pass through two given points, and have its centre in a given line. Prop. 9. In a given circle, inscribe a triangle equiangular to a given triangle. Prop. 10. From... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...Prop. 7. With a given radius, describe a circle which shall pass through two given points. Prop. 8. Describe a circle which shall pass through two given points, and have its centre in a given line. Prop. 10. From one extremity of a line which can not be produced, draw a line perpendicular to... | |
 | Elias Loomis - Conic sections - 1861 - 254 pages
...With a given radius, describe a circle which shall pass through two given points. Prop. 8. Describe 9, circle which shall pass through two given points, and have its centre in a given line. Prop. 9. In a given circle, inscribe a triangle equiangular to a given triangle. Prop. 10. From... | |
 | Euclides - 1865 - 402 pages
...joining their points of intersection is bisected at right angles by the line joining their centres. 72. Describe a circle which shall pass through two given points, and have its centre in a given line. 73. From two given points on the same side of a given line, draw two lines which shall meet in... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...the vertices of a triangle as centre, to describe three circles which shall touch one another. 7. I*1 every right-angled triangle the diameter of the circle...the same side of A B. Let AD, BC intersect in P and AC, BD in Q. Prove that PQ produced is perpendicular to A B. 13. Describe a circle which shall touch... | |
 | Euclides - 1870 - 270 pages
...a triangle. 2. To bisect a triangle by a st. line drawn from a given point in one of ita sides. 3. Describe a circle which shall pass through two given points, and have iU centre in a giyen line. 4. Through a given point to draw a st. line that shall be equally inclined... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...Prop. 7. With a given radius, describe a circle which shall pass through two given points. Prop. 8. Describe a circle which shall pass through two given points, and have its centre in a given line. Prop. 9. In a given circle, inscribe a triangle equiangular to a given triangle. Prop. 10. From... | |
 | Benjamin Hallowell - Geometry - 1872 - 286 pages
...BI= AH, and 2CG = AC = AB = BC; also, OG— CG = OC = OA = OB. * IV. 15. f III. 12. PROBLEM Y. — To describe a circle which shall pass through two given points and have its centre in a straight line given in position. the points A and B, and the line FE in position; that is, ~. the angle... | |
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Describe a circle which shall pass through two given points, and have its centre in a given line. 
