 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...which can be drawn through that point, that is the least which is at right angles to the diameter. 51. If from any point without a circle lines be drawn...contact and the diameter drawn through one of them. 52. -If from the extremities of the diameter of a circle tangents be drawn, and produced to intersect... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...the angle OCH, .-. CO is greater than OH and consequently (Eucl. iii. 15.) DE is less than FG. (51.) If from any point without a circle lines be drawn...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... | |
 | Euclides - 1845 - 546 pages
...straight line drawn from the point without the circle to the farthest extremity of the diameter. 53. If from any point without a circle, lines be drawn...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 is C, and the terminating... | |
 | 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...contact and the diameter drawn through one of them. 7. If, from any two points in the circumference of a circle, there be drawn two straight lines to a... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...right angles to the diameter. 22. If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the...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 be let fall on any... | |
 | Robert Potts - 1865 - 528 pages
...produced in E, shew that AE=2.AB. If ED produced meet AB in F, shew that AB = 3 . BF. 71. Shew that, if from any point without a circle lines be drawn...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 AB is... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...from the tangent to the 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 - 424 pages
...from the tangent to the 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...contact and the diameter drawn through one of them. 7. If, from any two points in the circumference of a circle, there be drawn two straight lines to a... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...right angles to the diameter. 22. If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the...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 be let fall on any... | |
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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. 
