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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

## 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...

## 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...

## 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....

## 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...

## 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...

## 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...

## 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...

## 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...