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" A point moves so that the square of its distance from the base of an isosceles triangle is equal to the product of its distances from the other two sides. "
An Elementary Course in Analytic Geometry - Page 169
by John Henry Tanner, Joseph Allen - 1898 - 390 pages
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An Elementary Treatise on Conic Sections

Charles Smith - Conic sections - 1883 - 452 pages
...different values of n, all the circles have a common radical axis. 5. Find the locus of a point which moves so that the square of its distance from the base of an isosceles triangle is equal to the rectangle under its distances from the other sides. 6. Prove that the equation of the circle circumscribing...
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Elements of Plane Analytic Geometry, Volume 25

John Daniel Runkle - Geometry, Analytic - 1888 - 370 pages
...the circle ar + y2 = r whose middle point is (x'tj') . 11. Find the locus of a point which so moves that the square of its distance from the base of an...equal to the product of its distances from the other sides. 12. Find the locus of a point whose polars with respect to two given circles make a given angle...
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An Elementary Treatise on Analytical Geometry: With Numerous Examples

W. J. Johnston - Geometry, Analytic - 1893 - 448 pages
...through the origin and (р^в^, (ргвг) ls 'S?? + P22 - 2 ft Рг COS (0! - 02)/SÍn (0! - 02) 8. A point moves so that the square of its distance from the base of an isosceles triangle — rectangle under its distances from the sides : show that its locus is a circle. [Take mid point...
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Plane and Solid Analytic Geometry

Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...of its distances from the four sides of a square is constant. Show that the locus is a circle. 96. A point moves so that the square of its distance from...other two sides. Show that the locus is a circle. 97. A point moves so that the sum of the squares of its distances from the sides of an equilateral...
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Plane and Solid Analytic Geometry: An Elementary Textbook

Charles Hamilton Ashton - Geometry, Analytic - 1900 - 290 pages
...point (—4, 1) is always equal to its distance from the origin. Find the equation of its locus. 10. A point moves so that the square of its distance from the origin is always equal to the sum of its distances from the axes. Find the equation of its locus. 16....
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Algebraic Geometry: A New Treatise on Analytical Conic Sections

William Meath Baker - Conic sections - 1906 - 363 pages
...values of X, and find the co-ordinates of the point. LOCUS PROBLEMS ON THE STRAIGHT LINE. 42. Example i. A point moves so that the square of its distance from the point (6, - 4) is always greater than the square of its distance from the point (3, 5) by 18 ; find...
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A Course in Mathematics: Algebraic equations, functions of one variable ...

Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 424 pages
...sides of an equilateral triangle is constant. Show that the locus is a circle and find its center. 79. A point moves so that the square of its distance from...the other two sides. Show that the locus is a circle which passes through the vertices of the two base angles. 80. A point moves so that the sum of the...
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 335 pages
...Example 1. Find the locus of a point P the square of whose distance from the base of a given right-angled isosceles triangle is equal to the product of its distances from the other two sides. Let ABClctG the triangle, right-angled at A, and having the equal sides AB and AC of length a. Take...
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 344 pages
...Example 1. Find the locus of a point P the square of whose distance from the base of a given right-angled isosceles triangle is equal to the product of its distances from the other two sides. Let ABC be th« triangle, right-angled at A, and having the equal sides AB and AC oí length a. Take...
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 374 pages
...the locus of a point P the square of whose distance from the base of a given right-angled isusct'les triangle is equal to the product of its distances from the other twu sides. Let ABO be the triangle, right-angled »tf at A, and having the equal sides AB and А С...
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