 | Isaac Todhunter - 1855 - 376 pages
...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
...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... | |
 | 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,)... | |
 | 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... | |
 | 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. 15.... | |
 | 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
...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... | |
 | 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
...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... | |
| |
Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. 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... 
