 | Isaac Todhunter - Conic sections - 1855 - 376 pages
...from it 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
...from it 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
...the 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 - 558 pages
...right 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... | |
 | William Peveril Turnbull - Geometry, Analytic - 1867 - 298 pages
...drawn from the angles of a triangle to the middle points of the opposite sides meet in a point. 31. A point moves so that the sum of the squares of its distances from two points xjj^ x^ is equal to the sum of the squares of its distances from two other points a^, xtyt.... | |
 | W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...from two other points # 3 y 3 , x 4 y 4 . Prove that the locus of the point is the straight line 32. A point moves so that the sum of the squares of its distances from n given points = the sum of the squares of its distances from n other given points. Find the locus... | |
 | James Maurice Wilson - 1869 - 260 pages
...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 - 102 pages
...each 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. drawn through the extremities... | |
 | Edward Olney - Geometry - 1872 - 566 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 - 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... | |
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A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. 
