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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. "
A treatise on navigation, and nautical astronomy - Seite 64
von Edward Riddle - 1824 - 551 Seiten
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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

Miles Bland - 1819 - 442 Seiten
...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...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

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

Horatio Nelson Robinson - 1860 - 468 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...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...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

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

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

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...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...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 276 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...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...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 432 Seiten
...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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