 | John Hymers - Geometry, Analytic - 1848 - 368 pages
...distance, and that passing through the point of intersection of the two lines and the third line. 8. The locus of a point, whose distance from a fixed point is always equal to n times its distance from a fixed line, - , . ni' nc , is a spheroid with semi-axes - - , , c being... | |
 | George Salmon - Conic sections - 1852 - 329 pages
...be had for PB, taking CF' = - CF. Hence, a circular cubic of the fourth class a may be considered as the locus of a point whose distance from a fixed point is equal to its distance from a fixed circle, the latter distance being measured on the radius vector... | |
 | Isaac Todhunter - Geometry, Analytic - 1858 - 108 pages
...contact when the volume between this plane and the co-ordinate planes is a minimum. 77. Prove that the locus of a point whose distance from a fixed point is always in a given ratio to its distance from a fixed line is a surface of revolution of the second degree.... | |
 | Percival Frost - 1863 - 526 pages
...of those surfaces can be deduced. The Sphere. 131. To find the equation of a sphere. DBF. A sphere is the locus of a point, whose distance from a fixed point is constant. The fixed point is the center and the constant distance the radius of the sphere. Let (a,... | |
 | Isaac Todhunter - Geometry, Analytic - 1864 - 124 pages
...contact when the volume between this plane and the co-ordinate planes is a minimum. 77. Prove that the locus of a point whose distance from a fixed point is always in a given ratio to its distance from a fixed line is a surface of revolution of the second degree.... | |
 | George Holmes Howison - Geometry, Analytic - 1869 - 622 pages
...greater than unity. 636. It follows from the property mentioned above, that the Conic may be defined as the locus of a point whose distance from a fixed point is in a constant ratio to its distance from a fixed right line. In fact, this definition has been made... | |
 | Percival Frost - Geometry, Analytic - 1875 - 458 pages
...of those surfaces can be deduced. The Sphere. 159. To find the equation of a sphere. DBF. A sphere is the locus of a point, whose distance from a fixed point is constant. The fixed point is the centre and the constant distance the radius of the sphere. Let (a,... | |
 | Percival Frost - Geometry, Analytic - 1875 - 462 pages
...invented by MacCullagh and Salmon respectively, may be stated as follows : For the modular method, " The locus of a point whose distance from a fixed point is in a constant ratio to its distance from a fixed straight line, measured parallel to a faced plane,... | |
 | James White - Conic sections - 1878 - 160 pages
...formed by a plane intersecting a cone. The simplest case, that of a circle, has been considered as the locus of a point whose distance from a fixed point is constant. 69. The parabola comes next in order of simplicity. And its equation can be derived from... | |
 | William Kingdon Clifford - Dynamics - 1878 - 282 pages
...the letter e, so that sp = e . pl. The line dl is called the directrix. Thus we see that the ellipse is the locus of a point whose distance from a fixed point (the focus) is in a constant ratio to its distance from a fixed line (the directrix). The distance... | |
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Parabola is the locus of a point whose distance from a fixed point is always equal to its distance from a fixed straight line. 
