 | Isaac Todhunter - Geometry - 1855 - 332 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 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
...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... | |
 | 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... | |
 | 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... | |
 | Edward Albert Bowser - Geometry, Analytic - 1880 - 334 pages
...and interest to the right line and circle. A Conic Section is the locus of a point moving in a plane so that its distance from a fixed point bears a constant ratio to its distance from a fixed right line. If this ratio is unity, the locus is a Parabola; if less than unity an Ellipse; if greater... | |
 | R. M. Milburn - Mathematics - 1880 - 116 pages
...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.... | |
 | 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... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...intersection of the taugents at P and Q is . « MC U> CHAPTER VI. THE ELLIPSE. Definition. An Ellipse is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is less than unity, to its distance from a fixed line,... | |
 | Henry Percy Smith - English language - 1883 - 542 pages
...natural state as to be fit recipients of it. (Condignity.) CONE 135 CONS it moves in such a manner that its distance from a fixed point bears a constant ratio to its perpendicular distance from a fixed line. The fixed point is called the/a««, the fixed line the directrix... | |
 | Charles Smith - Geometry, Analytic - 1884 - 256 pages
...directrix 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... | |
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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. 
