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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: An advanced course in geometry - Page 245
by Edward Olney - 1872 - 84 pages
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

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 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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A Treatise on Special Or Elementary Geometry: In Four Parts ..., Part 3

Edward Olney - Geometry - 1872 - 96 pages
...pass through that point, that one is the least which is at right angles to the diameter. FIG. 358. 633. If from any point there extend two lines tangent...the other perpendicular to the opposite 'side, is half the difference of the other two angles of the triangle. SUG'S. ABD = 90° - A, whence ABD - EBD...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...pass through that point, that one is the least which is at right angles to the diameter. FIQ. 358. 633. If from any point there extend two lines tangent...and the other perpendicular to the opposite side, is half the difference of the other two angles of the triangle. *" ED FIB. 359. Suo's. ABD = 90° —...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 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...
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Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

Horatio Nelson Robinson - 1875 - 288 pages
...reach the line given in position. (6.) 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. Let P be a point without a circle, and PA, PB,...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1876 - 354 pages
...pass through that point, that one is the least which is at right angles to the diameter. FIG. 358. 633. If from any point there extend two lines tangent...angle contained by the line joining the points of taugency and the radius extending to one of them. 634. The angle included by two lines drawn from any...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 pages
...locus of their points of bisection. 2. 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. 3. Inscribe a circle in a given triangle. If the...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...equal to a given rectilineal angle. 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. 7. Describe a circle about a given triangle. The...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 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...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...chords joining their extremities are parallel. 4. If two tangents be drawn to a circle from any point, the angle contained by the tangents is double the angle contained by the chord of contact, and the diameter drawn through either point of contact. 5. Enunciate and prove the...
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