 | Isaac Todhunter - 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 moves... | |
 | Isaac Todhunter - Geometry - 1855 - 332 pages
...the sides of an equilateral triangle is constant ; shew that the locus of the point is a circle. 13. A point moves so that the sum of the squares of its distances from any given number of fixed points is constant ; shew that the locus is a circle. 14. Shew what the equation... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...the sides of an equilateral triangle is constant ; shew that the locus of the point is a circle. 13. A point moves so that the sum of the squares of its distances from any given number of fixed points is constant ; shew that the locus is a circle. 14. Shew what the equation... | |
 | 1864 - 96 pages
...Prove that the tangents at the vertices of the paraholas thus descrihed intersect in a point, such that the sum of the squares of its distances from the four given points is equal to the square of the diameter of the circle 34 1435. Show how to find the area... | |
 | Mathematics - 1864 - 96 pages
...Prove that the tangents at the vertices of the parabolas thus describee intersect in a point, such that the sum of the squares of its distances from the four given points is eqnnl to the square of the diameter of the circle. Solution by the PROPOSER. Let ABC1,)... | |
 | 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. 15.... | |
 | 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... | |
 | 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... | |
 | Philip Kelland - 1873 - 248 pages
...given sphere : a point Q is taken in OP so that OP.OQ = k'. Prove that the locus of Q is a sphere. 11. A point moves so that the sum of the squares of its distances from a number of given points is constant. Prove that its locus is a sphere. 12. A sphere touches each of... | |
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A point moves so that the sum of the squares of its distances from the four sides of a square is constant. 
