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" It may also be defined as the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line. "
An elementary manual of coordinate geometry and conic sections - Page 55
by James White - 1878 - 148 pages
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A Treatise on Plane Co-ordinate Geometry: With Numerous Examples ...

Isaac Todhunter - Geometry - 1855 - 332 pages
...bisects MN. CHAPTER XI. THE HYPERBOLA. 209. To find the equation to the hyperbola. The hyperbola 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, the ratio being greater than unity....
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - Conic sections - 1858 - 334 pages
...definitions, and investigate some of their properties from their equations. DBF. A conic section 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. If this ratio be unity, the curve...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...the normals at the ends of the latera recta. 16. Find the equation to the hyperbola, considering it as the locus of a point which moves, so that its distance from one fixed point differs by a constant quantity from its distance from another fixed point. Show that...
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An Introduction to Analytical Plane Geometry

W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...line joining the other two. (Ex. 29, Chap, vi.) CHAPTER VIII. THE PARABOLA. 103, A conic section 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. The conic section is a parabola,...
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The Messenger of Mathematics, Volume 18

1889 - 500 pages
...usual definition of a parabola now given in an elementary treatise on Geometrical Conic Sections is " the locus of a point which moves so that its distance from a given fixed point, called the focus, is always equal to its distance from a given straight line, called...
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Introduction to quaternions, by P. Kelland and P.G. Tait

Philip Kelland - 1873 - 248 pages
...meet ; find the locus of its centre. CHAPTER VI. THE ELLIPSE. 43. !• IF we define a conic section as "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" (Todhunter, Art. 123), we shall...
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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ...

Isaac Todhunter - Conic sections - 1874 - 378 pages
...consequences of the definitions in Art. 123. 125. To find the equation to the Parabola. A parabola is the locus of a point which moves so that its distance from a fixed point is egual to its distance from a fixed straight line. Let 8 be the fixed point, YY the fixed straight line....
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A mathematical course for the University of London. (2nd)

Thomas Kimber - 1874 - 354 pages
...16. Show that an equation of the form x* -f- y* + A x + В у — С represents a circle. Investigate the locus of a point which moves so that its distance from one fixed point bears a constant ratio to its distance from another. 17. Trace the curve represented...
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Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - Mathematics - 1880 - 116 pages
...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, the ratio being less than unity....
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London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880 - 176 pages
...b. 16. Show that an equation of the form х» + y2+A x + В у = С represents a circle. Investigate the locus of a point which moves so that its distance from one fixed point bears a constant ratio to its distance from another. 17. Trace the curve represented...
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