 | George Salmon - Conic sections - 1855 - 376 pages
...other ; find the locus of vertex. / m + n \ Ans. A circle whose centre is - c, 0 . \m ±n I Ex. 6. Find the locus of a point the square of whose distance from a given point is proportional to its distance from a given right line. Ex. 7. A line of constant length moves... | |
 | George Salmon - Conic sections - 1855 - 376 pages
...meet the circle in real or imaginary points ; thus, for example, if the circle be infinitely small, the locus of a point, the square of whose distance from a fixed point is in a constant ratio to the product of its distances from two fixed lines, is a conic... | |
 | Percival Frost - 1863 - 526 pages
...intersection of the planes a directrix, and the constant ratio the umbilical modulus. > 200. To find the locus of a point, the square of whose distance from a focus is in a constant ratio to the rectangle under the distances from two fixed directing planes.... | |
 | Peter Guthrie Tait - Quaternions - 1867 - 366 pages
...the normals at which meet that drawn at the point p = •ar, is on the cone S.(p — 5j)</>^T</>(> = 0. 27. Find the equation of the locus of a point the...of the plane Sap = 1, with respect to the surface SP<t>P = 1, is a sphere, if a be subject to the condition p-' a = 0. 29. Show that the equation of... | |
 | Peter Guthrie Tait - Quaternions - 1867 - 364 pages
...the normals at which meet that drawn at the point p = vr, is on the cone S.(p — «r) <£•&$p = 0. 27. Find the equation of the locus of a point the...28. Show that the locus of the pole of the plane Sap = \, with respect to the surface Sptpp = \, is a sphere, if a be subject to the condition 80.$-' a... | |
 | Peter Guthrie Tait - History - 1867 - 354 pages
...locus of points on the surface the normals at which meet that drawn at the point p = vr, is on the cone 27. Find the equation of the locus of a point the...proportional to its distance from a given plane. 28. Shov* that the locus of the pole of the plane Sap = 1, with respect to the surface Sp<f>p = 1, is a... | |
 | Henry Martyn Jeffery - 1867 - 82 pages
...the quadric (Z£ + mr, + n) (f£ + m'r, + «') + *($» + 17") = 0. The dual form defines a conic as the locus of a point, the square of whose distance from a fixed point is proportional to the rectangle contained by its distances from two fixed director lines.... | |
 | Peter Guthrie Tait - Quaternions - 1873 - 338 pages
...Sp<pp = 1, the normals at which meet that drawn at the point p=w, is on £he cone S.(p—sr) <pv<f>p = 0. 27. Find the equation of the locus of a point the...proportional to its distance from a given plane. 28. Shew that the locus of the pole of the plane Sap = I, with respect to the surface is a sphere, if a... | |
 | Philip Kelland - 1873 - 248 pages
...the locus of a point, the ratio of whose distances from two given straight lines is constant. 2. Find the locus of a point the square of whose distance...is proportional to its distance from a given plane. 3. Prove that the locus of the foot of the perpendicular from the centre on the tangent plane- of an... | |
 | Percival Frost - Geometry, Analytic - 1875 - 462 pages
...= l, in which case it is a straight line, and the surface is a hyperbolic paraboloid. 322. To find the locus of a point, the square of whose distance from a focus is in a constant ratio to the rectangle under its distances from two JLced directing planes.... | |
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Find the equation of the locus of a point the square of whose distance from a given line is proportional to its distance from a given plane. 
