 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Benjamin Williamson - Calculus, Differential - 1872 - 372 pages
...which determine the position of the point. The minimum sum is 4A' . j. Similarly, to find a point such that the sum of the squares of its distances from four given planes shall be a minimum. Suppose A, B, C, Jito represent the areas of the faces of the tetrahedron... | |
 | Harvard University - 1873 - 732 pages
...given point parallel to a given plane ? parallel to a given line ? in. ANALYTIC GEOMETRY. 1. Determine the locus of a point which moves so that the sum of the Hquares of its distances from two fixed points is constant. Also determine the locus, changing sum... | |
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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... 
