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" Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third. 144. Find the locus of a point which moves so that the sum of the squares of the distances from... "
Responsions Papers in Stated Subjects (exclusive of Books), 1901-1906: With ... - Page 73
by Charles Abdy Marcon - 1907 - 152 pages
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A treatise on plane co-ordinate geometry

Isaac Todhunter - Geometry, Analytic - 1855 - 299 pages
...on these n lines is constant ; find the conditions that the locus of P may be a circle. 31. A point moves so that the sum of the squares of its distances from the sides of a regular polygon is constant ; shew that the locus of the point is a circle. 32. A line...
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - 1858
...on these n lines is constant ; find the conditions that the locus of P may be a circle. 31. A point moves so that the sum of the squares of its distances from the sides of a regular polygon is constant; shew that the locus of the point is a circle. 32. A line...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 192 pages
...radius of which is equal to a. Interpret each of the equations я? + y* = 0 and x* — y* = 0. A point moves so that the sum of the squares of its distances from the three angles of a triangle is constant. Prove that it moves along the circumference of a circle....
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Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two ...

William Allen Whitworth - Coordinates, Trilinear - 1866 - 506 pages
...lines, the polar of any point whatever passes through the intersection of the right lines. (148) A point moves so that the sum of the squares of its distances from n given straight lines is constant. Shew that it will describe a conic section. (149) If all but one...
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AN INTRODUCTION TO ANALYTICAL PLANE GEOMETRY

W. P. TURNBULL, M.A. - 1867
...the equation to the tangent to the circle 3? + 2/ 2 + 2a?y cos co = c 2 at the point x'y. 19. A point moves so that the sum of the squares of its distances from the sides of a square is constant. Find the locus of this point. Shew that the position of the locus...
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An introduction to analytical plane geometry

William Peveril Turnbull - 1867
...that the locus of P is a circle, find geometrically the circle's position and magnitude. 21. A point moves so that the sum of the squares of its distances from any number of given points is constant. Prove that the locus of this point is a circle. 22. Find the...
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Elementary Geometry, Volume 1

James Maurice Wilson - Geometry - 1868
...the whole line. 5. Given the base, area, and one of the angles at the base, construct the triangle. 6. Find the locus of a point which moves so that the sum of the squares of its distance from four given points is constant. On the Quadrature of a Rectilineal Area. There is one...
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Elementary geometry

James Maurice Wilson - 1869
...middle points of opposite sides intersect in the line which joins the middle point of the diagonals. 77. The locus of a point which moves so that the sum of the squares of its distances from three given points is constant is a circle. BOOK II. THE CIRCLE. INTRODUCTION. Def. 1. IF a point moves...
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A TREATISE ON SPECIAL OR ELEMENTARY GEOMETFH.

EDWARD OLNEY - 1872
...other at right angles, so as to inclose a rectangle. 870. Prob. — Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points. OF LOCI. drawn through...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872
...other at right angles, so as to inclose a rectangle. 870. Prob. — Find the locus of a point such that the sum of the squares of its distances from two fixed points shall be equivalent to the square of the distance between the fixed points. OF LOCI. drawn through...
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