 | 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 angle contained 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... | |
 | 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 angle contained 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... | |
 | 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 angle contained 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... | |
 | 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 angle contained 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... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...which can pass through that point, that one is the least which is at right angles to the diameter. 22. If from any point there extend two lines tangent to...angle contained by the line joining the points of contact and the radius extending to one of them. 23. If from the ends of a diameter perpendiculars... | |
 | 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 angle contained 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... | |
 | 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... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...which can pass through that point, that one is the least which is at right angles to the diameter. 22. If from any point there extend two lines tangent to...angle contained by the line joining the points of contact and the radius extending to one of them. 23. If from the ends of a diameter perpendiculars... | |
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If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the angle contained by the line joining the points of contact and the radius extending to one of them. 
