| 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 - 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... | |
| 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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