 | William Fogg Osgood, William Caspar Graustein - Geometry, Analytic - 1921 - 650 pages
...paraboloid intercept proportional segments on two rulings of the other set. Loci 15. Find the locus of a point which moves so that its distance from a fixed point bears to its distance from a fixed plane, not through the point, a constant ratio, k. Ans. A quadric... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...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. 2£8) is always equal to its distance from a fixed line US. R FIG. 228 SUGGESTION. Take the... | |
 | Paul Prentice Boyd, Joseph Morton Davis, Elijah Laytham Rees - Geometry, Analytic - 1922 - 280 pages
...jr/4) which passes through the point (9, 105°). 4. The Parabola a. General Problem. Find the locus of a point which moves so that its distance from a fixed point is always equal to its distance from a fixed line. 1) Let the fixed line (directrix) be DD', with equation... | |
 | Clyde Elton Love - Geometry, Analytic - 1927 - 288 pages
...j°[jTHE CONIC SECTIONS ^.ui» .'',„• с ^ iV I. GENERAL INTRODUCTION I 57. Definitions. The path of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed line is called a conic section, or simply a conic.... | |
 | John Hubert Scott - Authorship - 1928 - 348 pages
...Analytical Geometry, revised ed. DC Heath & Co., Boston, 1892. P. 2ir. "A conic lection it 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.... | |
 | Daniel Pedoe - Mathematics - 1983 - 338 pages
...proved that ST = TN, so that we now have the celebrated method of drawing a parabola as the locus of a point which moves so that its distance from a fixed point (the focus) is equal to its distance from a fixed line (the directrix). In our paper-folding envelope... | |
 | John Compton, Allyn Jones - Juvenile Nonfiction - 2002 - 164 pages
...to 5. Our aim is to translate the given verbal sentence into a mathematical equation. The locus of a point which moves so that its distance from a fixed point is a constant represents a circle. Therefore, if a point moves so that it is always 5 units from the... | |
 | Lyn Baker - Juvenile Nonfiction - 2004 - 140 pages
...We say that the two equations are identities or are identically equal. О A parabola is the locus of a point which moves so that its distance from a fixed point, the focus, equals its distance from a fixed line, the directrix. • The parabola x2 = 44y has its... | |
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A conic section or conic is the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line... 
