 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 the third.  Elements of Geometry - Page 174by George Cunningham Edwards - 1895 - 293 pagesFull view - About this book
 | 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... | |
 | 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.... | |
 | 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... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...three fixed points. In what case does the conic degenerate into two intersecting straight lines ? 45. Find the locus of a point which moves so that the sum of the squares on the tangents drawn from it to the ellipse, -â- - + âjf = 1, is constant. X a v' J 46. Having... | |
 | Joseph Wolstenholme - Mathematics - 1878 - 538 pages
...of the perpendiculars from any other point P, will bisect OP. [Such a polygon has the property that the locus of a point, which moves so that the sum of the squares on its distances from the sides is constant, is a circle.] 2254. The limiting position of the centre... | |
 | 1882 - 376 pages
...equidistant from three given straight lines. 9. Inscribe a regular pentagon in a given circle. 10. Find the locus of a point which moves so that the sum of the squares of its distances from four given points is constant. What is the least possible value of this constant.... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...108, since SP â ePM, we have also S'P=e.NZ' = e(CZ'-CN) = a-ex; An ellipse is sometimes defined as the locus of a point which moves so that the sum of its distances from two fixed points is constant. To find the equation of the curve from this definition.... | |
 | Charles Smith - Geometry, Analytic - 1884 - 256 pages
...locus of a point, whose distances from two given planes are in a constant ratio, is a plane. Ex. 10. The locus of a point, which moves so that the sum of its distances from any number of fixed planes is constant, is a plane. 21. The co-ordinates of any... | |
 | Charles Smith - Geometry, Analytic - 1886 - 268 pages
...locus of a point, whose distances from two given planes are in a constant ratio, is a plane. Ex. 10. The locus of a point, which moves so that the sum of its distances from any number of fixed planes is constant, is a plane. 21. The co-ordinates of any... | |
 | Arthur Le Sueur - Circle - 1886 - 120 pages
...axis itself is a diameter bisecting chords perpendicular to it. THE ELLIPSE. DEF. â An ellipse is the locus of a point which moves so that the sum of its distances from two fixed points ((he foci) is constant. Equation to an ellipse. S, S' the foci.... | |
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