 | Isaac Todhunter - Geometry - 1855 - 332 pages
...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... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...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, the ratio being less than unity.... | |
 | W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...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,... | |
 | Philip Kelland - 1873 - 248 pages
...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... | |
 | James White - Conic sections - 1878 - 160 pages
...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... | |
 | R. M. Milburn - Mathematics - 1880 - 116 pages
...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.... | |
 | Hussein Tevfik (Pacha.) - Algebras, Linear - 1882 - 98 pages
...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... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...(x'-Zy1). CHAPTER V. THE PARABOLA. • 89. Definitions. A Conic Section, or Conic, is 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. The fixed point is called a focus,... | |
 | Charles Smith - Geometry, Analytic - 1884 - 256 pages
...definition of a conic. One definition, due to Mac Cullagh, is as follows : — A conicoid is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance (measured parallel to a fixed plane) from... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...fixed point on a line of constant length sliding between, two fixed rectangular axes or as the locus of a point which moves so that its distance from a fixed point (F) is in a constant ratio to its distance from a fixed line (MX), ie the two definitions of the ellipse... | |
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A conic section or conic is 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... 
