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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. "
A Treatise on Special Or Elementary Geometry - Seite 245
von Edward Olney - 1872 - 1 Seiten
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 Seiten
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 Seiten
...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...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 Seiten
...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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 Seiten
...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...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 Seiten
...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...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 Seiten
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 444 Seiten
...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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