 | William Fogg Osgood, William Caspar Graustein - Geometry, Analytic - 1921 - 650 pages
...given line is proportional to its distance from a given plane perpendicular to the line ? 28. What is the locus of a point which moves so that its distance from a given point is proportional to its distance to a given plane through the point ? 29. What is the locus... | |
 | Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 374 pages
...moves so as to be always equidistant from the points (3, 5) and ( — 1, 7). 38. Find the equation of the locus of a point which moves so that its distance from the line 7z + 4y — 6 = 0 is twice its distance from the line x - 8y + 3 = 0. 39. Find the equation... | |
 | George Young (jr.), Hubert Eugene Baxter - Geometry, Descriptive - 1921 - 332 pages
...equal to n, the resulting curve, urst, is a parabola. 1 114. The Parabola. The parabola is generated by a point which moves so that its distance from a fixed point is constantly equal to its distance from a fixed line. (See §§ 112 and 113.) FIG. 125 Since the eccentricity... | |
 | Reginald Charles Fawdry - Coordinates - 1921 - 236 pages
...required equation Equation of a Parabola. \,u>:i,)/-y.tf «-/oY*6' ' ^ A parabola is a curve described by a point which moves so that its distance from a fixed point equals its distance from a fixed line. The equation will depend on the position of the fixed point... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...very common locus is shown by the following problem, which the student should solve carefully : Find the locus of a point which moves so that its distance from a fixed point F (Fig. %28'y is always equal to its distance from a fixed line FIG. 228 The curve constructed in Fig.... | |
 | Lewis Parker Siceloff, George Wentworth, David Eugene Smith - Geometry, Analytic - 1922 - 302 pages
...of C and of any point P(p, 0) on the circle, and draw the radius CP. 41. Find the polar equation of the locus of a point which moves so that its distance from a fixed point exceeds by a constant its distance from a fixed line. Show that the locus is a parabola having the... | |
 | Paul Prentice Boyd, Joseph Morton Davis, Elijah Laytham Rees - Geometry, Analytic - 1922 - 280 pages
...equation of the locus of points equidistant from the point (0, 1) and the X-axis. c) Find the equation of the locus of a point which moves so that its distance from the point (2, 0) is always twice its distance from the K-axis. 74. a) Find the equation of the line... | |
 | Lewis Parker Siceloff, George Wentworth, David Eugene Smith - Geometry, Analytic - 1922 - 304 pages
...enables us to find the equations of many other important curves. For example, consider the case of the locus of a point which moves so that its distance from the point (4, 0) is equal to its distance from the y axis. This being a locus not thus far considered,... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...at B and D meet in O. Prove that L BOD is equal to the difference between / BCD and / BAD. 9. Find the locus of a point which moves so that its distance from a given line is half its distance from a given point on the line. 1O. Prove that, if circles are described... | |
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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. 
