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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 - Page 64
by Edward Riddle - 1824 - 551 pages
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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
...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 - Euclid's Elements - 1883 - 428 pages
...drawn touching it, the angle contained bv 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 is bounded by the diameter of a circle, the tangents at its extremities, and a...
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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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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...from the tangent to the semicircle parallel to AB. 16. 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. 17. C is the...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...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. 17. C is the centre of a given circle, CA a radius, B a point on a radius at right tingles to CA; join...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 426 pages
...form a right angle. 16. If, from any point without a circle, lines be drawn tangent to the circle, the angle contained by the tangents is double the...contact and the diameter drawn through one of them. PROBLEMS. 18. If either set of opposite angles of a quadrilateral be equal to two right angles, a circle...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - Geometry - 1893 - 262 pages
...i., P. vi., C. i.). i6. If, from any point without a circle, lines be drawn tangent to the circle, the angle contained by the tangents is double the...contact and the diameter drawn through one of them. I. Assume construction. 2. ¿DBA and Z OCA are L s (P. xni.) ; .-., ZA is supplement of ¿HOC (B. in.,...
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Key to Milne's Plane and Solid Geometry

William James Milne - Geometry - 1899 - 326 pages
...Hence, § 119, Д DEF is equilateral. Ex. 267. If from any point without a circle tangents are drawn, the angle contained by the tangents is double the...contact and the diameter drawn through one of them. Data : Tangents AC and BC from the point C without a circle ; line AB joining the points of tangency...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...SUGGESTION. Draw a line from the center to E. Ex. 267. If from any point without a circle tangents are drawn, the angle contained by the tangents is double the...contact and the diameter drawn through one of them. Ex. 268. The lines, which bisect the vertical angles of all triangles on the same base and on the same...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...which are proportional to the adjacent sides. 3. If from any point without a circle tangents arc drawn, the angle contained by the tangents is double the...contact and the diameter drawn through one of them. 4. Show how to construct a polygon similar to two given polygons and equivalent to their sum. 5. A...
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