 | 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...point is proportional to its distance from a given right line. Ex. 7. A line of constant length moves between two fixed right lines, and perpendiculars... | |
 | 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... | |
 | John Mulcahy - Geometry - 1862 - 252 pages
...opposite sides will intersect on the other diagonal. 80. Given in position a point and a right line, find the locus of a point the square of whose distance from the given point shall have a given ratio to the rectangle, under a given line, and the distance from... | |
 | Percival Frost - 1863 - 526 pages
...the 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.... | |
 | Samuel H. Winter - 1864 - 348 pages
...rectangular. 15. Find by algebraic geometry the locus of a point the square of the distance of which from a given point is proportional to its distance from a given right line. CXVII. 1. Add together the fractions f , |f, ^f , ||f ; and express the result as a decimal.... | |
 | Peter Guthrie Tait - 1867 - 364 pages
...that drawn at the point p = •w, is on the cone S.(p — cr)</>-OT^'p = 0. 27. 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. 28. Show that the locus of the pole of the... | |
 | Peter Guthrie Tait - Quaternions - 1867 - 366 pages
...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 square of whose distance from a given line is proportional to its distance from a given plane. 28. Show that the locus of the pole of the... | |
 | 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.... | |
 | Philip Kelland - 1873 - 248 pages
...Find 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 from a given line is proportional to its distance from a given plane. 3. Prove that the locus of the foot of the... | |
 | Percival Frost - Geometry, Analytic - 1875 - 462 pages
...unless e = 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 locus of a point, the square of whose distance from a given point is proportional to its distance from a given line. 
