 | Edward Vermilye Huntington - Engineering - 1918 - 226 pages
...from the parametric equations by eliminating u. Fio. 7. THE PARABOLA The parabola (see also p. 107) is the locus of a point which moves so that its distance from a fixed line (called the directrix) is always equal to its distance from a fixed point F (called the... | |
 | George Alexander Gibson, Peter Pinkerton - Geometry, Analytic - 1919 - 510 pages
...4#+3y-6=0. (v) „ (0,0); „ 5.r+ 12^-13 = 0. 3. Show that y = x — xi may be defined geometrically as the locus of a point which moves so that its distance from (1/2, 0) is equal to its distance from y=l/2. Give a geometrical definition of x=y—y3. Sketch both... | |
 | American Mathematical Society - Mathematics - 1919 - 530 pages
...second degree are classified according to their graphs. Thus the way is prepared for the conic section as the locus of a point which moves so that its distance from a fixed point is always equal to a constant times its distance from a fixed line. Part III consists... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Nels Johann Lennes - Mathematics - 1926 - 240 pages
...point whose coordinates are (p,o) and let AB be a line whose equation is x = - p. Find the equation of the locus of a point which moves so that its distance from the point F is equal to its distance from the line AB. 2. Let F and F' be two points whose coordinates... | |
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A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix. 
