| Miles Bland - Euclid's Elements - 1819 - 444 pages
...at right angles to the diameter. 51. If from any point without a circle lines be drawn touching it ; the angle contained by the tangents is double the...by the line joining the points of contact and the diameter drawn through one of them. 52. -If from the extremities of the diameter of a circle tangents... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...iii. 15.) DE is less than FG. (51.) If from any point without a circle lines be drawn touching it ; the angle contained by the tangents, is double the angle contained by a line joining the points of contact and the diameter drawn through one of them. From the point E without... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...within each circle will be equal. 9. If from any point without a circle lines be drawn touching it ; the angle contained by the tangents is double the...by the line joining the points of contact, and the diameter drawn through one of them. 10. If from any two points in the circumference of a circle there... | |
| Euclides - 1845 - 546 pages
...farthest extremity of the diameter. 53. If from any point without a circle, lines be drawn touching it, the angle contained by the tangents is double the...by the line joining the points of contact and the diameter drawn through any one of them. 54. Let ACB be a quadrant of a circle, of which the centre... | |
| Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...terminated in that line. 6. If, from any point without a circle, lines be drawn touching the circle, the angle contained by the tangents is double the...by the line joining the points of contact and the diameter drawn through one of them. 7. If, from any two points in the circumference of a circle, there... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...two given points to meet on the convex circumference of a circle, the sum of those two is the least which make equal angles with the tangent to the circle...24. To draw a circumference with a given radius, so that the sides of a given angle shall be tangents to it. 25. To draw a circumference through two given... | |
| Robert Potts - 1865 - 528 pages
...shew that AB = 3 . BF. 71. Shew that, if from any point without a circle lines be drawn touching it, the angle contained by the tangents is double the...by the line joining the points of contact and the diameter through one of them. 72. A line touches a circle, and from the point of contact A, any chord... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...semicircle parallel to AB. 196. If from any point without a circle straight lines be drawn touching it, the angle contained by the tangents is double the angle contained by the straight line joining the points of contact and the diameter drawn through one of them. 197. A quadrilateral... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...semicircle parallel to AB. 196. If from any point without a circle straight lines be drawn touching it, the angle contained by the tangents is double the angle contained by the straight line joining the points of contact and the diameter drawn through one of them. 197. A quadrilateral... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...terminated in that line. 6. If, from any point without a circle, lines be drawn touching the circle, the angle contained by the tangents is double the...by the line joining the points of contact and the diameter drawn through one of them. 7. If, from any two points in the circumference of a circle, there... | |
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