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" The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines. "
A Shorter Geometry - Page ix
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A Text-book of Geometrical Deductions

James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...PH, GK ± PG. PH and GK produced both ways form the locus. Prove this by means of Euc. I. 34. 4. Find the locus of a point which is equidistant from two intersecting straight lines. (A Standard Locus.) B Let AB, CD be the given lines, P a point which satisfies the condition. Join...
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...given conditions. 2. That any point not in the lines cannot satisfy the given conditions. Ex. 369. Find the locus of a point which is equidistant from two intersecting straight lines. Data: Any two straight lines, as AB and CD, intersecting at the point K. Required to find the locus...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...given conditions. 2. That any point not in the lines cannot satisfy the given conditions. Ex. 369. Find the locus of a point which is equidistant from two intersecting straight lines. Data : Any two straight lines, as AB and CD, intersecting at the point K. Required to find the locus...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Kx. 77O. Prove that any point ou the perpendicular bisector of a line AB is equidistant from A, B. THEOREM 26. The locus of a point which is equidistant...which bisect the angles between the two given lines. fig. 156. Data AOA', BOB' are two intersecting straight lines; P is any one position (in L. AOB, say)...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 5

Education - 1903 - 692 pages
...from two fixed points is the perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two...which bisect the angles between the two given lines. The Circle. — The straight line, drawn from the centre of a circle to bisect a chord which is not...
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School: A Monthly Record of Educational Thought and Progress, Volume 4

Ed - 1905 - 272 pages
...quadrilateral in which AB = CD and AD = BC, show that AB is parallel to CD and AD to BC. (3) Show that the locus of a point which is equidistant from two intersecting straight lines consists of a pair of straight lines which bisect the angles between the two given lines. Draw a triangle whose...
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Calendar

University of Allahabad - 1907 - 528 pages
...from two fixed points is the perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two...which bisect the angles between the two given lines. THE CIBOLE. A straight line drawn from the centre of a circle to bisect a chord which is not the diameter...
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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...from two fixed points is the perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two...which bisect the angles between the two given lines. The Circle. A straight line drawn from the centre of a circle to bisect a chord which is not a diameter,...
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Calendar

University of Allahabad - 1908 - 568 pages
...two fixed points is the perpendicular bisector of the < straight line joining the two fixed points. The locus of a point which is equidistant from two...which bisect the angles between the two given lines. THE CIRCLE. A straight line drawn from the centre of a circle to bisect a chord which is not the diameter...
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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 pages
...from two fixed points is the perpendicular bisector of the straight line joining the two fixed points. The locus of a point which is equidistant from two...which bisect the angles between the two given lines. The Circle. A straight line, drawn from the centre of a circle to bisect a chord which is not a diameter...
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