 | John Cook Wilson - Logic - 1926 - 508 pages
...been discovered at last, which forms a general definition of which every conic is a species, is this : 'A conic section is the locus of a point which moves so that the anharmonic ratio of the pencil of lines drawn from it to four fixed points is constant' [figure... | |
 | 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... | |
 | 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
...Nichols, EW, 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.... | |
 | Virgil Snyder, Charles Herschel Sisam - Geometry, Analytic - 1914 - 314 pages
...from two fixed points is constant. Take the points (± o, 0, 0). 8. Find and classify the equation of the locus of a point which moves so that its distance from (a, 0, 0) bears a constant ratio to its distance (a) from the plane ж = 0 ; (6) from the Z-axis. 9. Show... | |
 | A.R. van C. Warrington - Technology & Engineering - 1977 - 470 pages
...main application of multi-input comparators is to distance relays. 12.1. CONIC SECTION CHARACTERISTICS A conic section is the locus of a point which moves so that the distance from a fixed point (the focus) bears a constant ratio to its distance from a straight... | |
 | Daniel Pedoe - Mathematics - 1983 - 338 pages
...it is easily 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... | |
 | Maurice Arthur Parker, Fred Pickup - Engineering design - 2014 - 74 pages
...HOLES 4 LOCI WHEN a point moves according to a given law its path is said to be a locus. For example, the locus of a point which moves so that its distance from a fixed straight line is constant, is a straight line parallel to the fixed line. Again, a point moving so... | |
 | Lyn Baker - Juvenile Nonfiction - 2004 - 140 pages
...e, and с = f . 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... | |
 | John Compton, Allyn Jones - Juvenile Nonfiction - 2002 - 164 pages
...always equal 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... | |
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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. 
