 | Isaac Todhunter - 1855 - 376 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... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 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... | |
 | Thomas Kimber - Mathematics - 1865 - 302 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.... | |
 | William Allen Whitworth - Coordinates, Trilinear - 1866 - 560 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... | |
 | W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...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... | |
 | William Peveril Turnbull - Geometry, Analytic - 1867 - 298 pages
...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... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...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... | |
 | James Maurice Wilson - 1869 - 260 pages
...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... | |
 | Edward Olney - Geometry - 1872 - 96 pages
...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... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...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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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... 
