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" Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig. "
An Elementary Course in Analytic Geometry - Page 154
by John Henry Tanner, Joseph Allen - 1898 - 390 pages
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A treatise on plane co-ordinate geometry

Isaac Todhunter - Conic sections - 1855 - 376 pages
...tracing the 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 equal to its distance from a fixed straight line. Let S be the fixed point, TY' the fixed straight...
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A Treatise on Plane Co-ordinate Geometry: With Numerous Examples ...

Isaac Todhunter - Geometry - 1855 - 332 pages
...P 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
...tracing the 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 equal to its distance from a fixed straight line. Let S be the fixed point, YY' the fixed straight...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...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
...the 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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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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An elementary manual of coordinate geometry and conic sections

James White - Conic sections - 1878 - 160 pages
...both in simplicity and in the importance of its applications, is the parabola. It may be defined as The locus of a point which moves so that its distance from a fixed point is equal tu its distance from a fixed straight line. The fixed point (F in figure) is called the focus...
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Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - Mathematics - 1880 - 116 pages
...Def. The double ordinate through the focus of a conic section is called the latus rectum. 40. Def. A parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line. A the vertex ; S the focus ; AS=a,- AM=x; MF^y....
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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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Linear Algebra

Hussein Tevfik (Pacha.) - Algebras, Linear - 1882 - 98 pages
...equation of a Conic Section deduced directly from its definition. 85. We will 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 lens. (Kelland and Tait, Art. 43). Let...
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