 | Isaac Todhunter - 1855 - 376 pages
...represented by the equation hy2 = 2x (lcy — 2ax). CHAPTER IX. THE ELLIPSE. 158. To find the equation to the ellipse. The ellipse is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line,... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...equation hyi = 2x (ky — 2ax). CHAPTER IX. THE ELLIPSE. 158. To find the equation to the ellipse. m The ellipse is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line,... | |
 | Isaac Todhunter - Conic sections - 1862 - 360 pages
...tangents from (A, fy are represented by the equation CHAPTER IX. THE ELLIPSE. 1581 To find the equation to the ellipse. The ellipse is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line,... | |
 | 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... | |
 | 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... | |
 | Thomas Kimber - 1874 - 352 pages
...determine whether the straight line x + У = 2 +-/2 is a tangent or not. 17. Find the locus of a point, P, which moves so that the sum of its distances from two fixed points, A and B, is constant. 1870. July 19th. — Examiners, — Prof. HJS SMITH, MA, FRS, and Prof. SYLVESTER,... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...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, -—- - + —jf = 1, is constant. X a v'... | |
 | 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... | |
 | Thomas Kimber - 1880 - 176 pages
...determine whether the straight line x + у = 2 +\/2 is a tangent or not, 17. Find the locus of a point, P, which moves so that the sum of its distances from two fixed points, A and B, is constant, 1870. July 19th. — Examiners, — Prof. HJS SMITH, MA, FRS, and Prof. SYLVESTER,... | |
 | R. M. Milburn - Mathematics - 1880 - 116 pages
...to parabola. 2a -, focus the pole. i+cos (ii) r= 4a.c°sy-, vertex the pole. THE ELLIPSE. 56. Def. The ellipse is the locus of a point which moves so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight line,... | |
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Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line. 
