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" 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. "
Analytic Geometry - Page 63
by Clyde Elton Love - 1927 - 257 pages
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An elementary treatise on conic sections

Charles Smith - Conic sections - 1883 - 388 pages
...a circle. Shew also that, for 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....
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Elements of Geometry

George Cunningham Edwards - Geometry - 1895 - 328 pages
...a given plane which are equally distant from two points which may or may not be in the given plane. 24. Find the locus of a point which moves so that the ratio of its distances from two parallel lines always equals 1. 25. Find the locus of a point which...
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The Elements of Coordinate Geometry

Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...distances from the angular points of a triangle is constant ; prove that its locus is a circle. 4. Find the locus of a point which moves so that the square of the tangent drawn from it to the circle x2 + y2=a2 is equal to c times its distance from the straight...
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Plane and Solid Analytic Geometry: An Elementary Textbook

Charles Hamilton Ashton - Geometry, Analytic - 1900 - 294 pages
...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. Locus of...
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Mathematical Questions and Solutions, from the "Educational Times."

1902 - 128 pages
...that side is j of the perimeter ................ 113 14762. (FH Peachell, BA) —Find the equation of the locus of a point which moves so that the square of the tangent drawn from it to a fixed circle is the arithmetic mean between the squares of the tangents...
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An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry

Charles Smith - Conic sections - 1916 - 466 pages
...circle. Shew also that, for different values of n, all the circles have a common radical axis. fErt 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. *...
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Analytic Geometry

Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 266 pages
...(а) A point moves so as to be always equidistant from the г-axis and the point (0, 3). (б) A point moves so that the square of its distance from the origin is four times its ordinate. (c) A point moves so that its distance from the y-axis is equal to its distance...
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Elements of Analytical Geometry

George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...the equations 8=0 and P2 = X . LM represent one and the same conic. Hence A conic may be defined as the locus of a point which moves so that the square of its distance from one of three fixed straight lines is proportional to the product of its distances from the other two...
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Plane and Solid Analytic Geometry

William Fogg Osgood, William Caspar Graustein - Geometry, Analytic - 1921 - 650 pages
...given square is constant. Is there any restriction necessary on the value of the constant ? 4 Determine the locus of a point which moves so that the square of its distance to the origin equals the sum of its coordinates. Ans. A circle, center at (^, ^), radius = % V2. 5....
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Analytic Geometry

Lewis Parker Siceloff, George Wentworth, David Eugene Smith - Geometry, Analytic - 1922 - 304 pages
...point (1, 3) so that the radical axis of this circle and the circle x* + f-8x+7y=W is 2a;-3*/=6. 36. Find the locus of a point which moves so that the square of its distance from a given point is equal to its distance from a given line. 37. A point moves so that the sum of the...
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