| 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... | |
| 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... | |
| 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 the hyperbola... | |
| 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... | |
| 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,... | |
| 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),... | |
| Thomas Kimber - 1874 - 354 pages
...line, and passes through the pointa; = a, y= b. 16. Show that an equation of the form x* -f- y* + A x + В у — С represents a circle. Investigate...another. 17. Trace the curve represented by the equation Find the equation to a straight line which touches this curve and is parallel to the straight line... | |
| 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... | |
| 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,-... | |
| 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,... | |
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