 | Reginald Charles Fawdry - 1921 - 236 páginas
...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 - 1922 - 460 páginas
...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 - 1922 - 302 páginas
...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... | |
 | Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 198 páginas
...set forth below enables us to find the equations of many curves. For example, find the equation 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. First, we take any point P (x, y) which... | |
 | Paul Prentice Boyd, Joseph Morton Davis, Elijah Laytham Rees - 1922 - 280 páginas
...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 - 1922 - 304 páginas
...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 - 1926 - 202 páginas
...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 - 1926 - 240 páginas
...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 - 1927 - 288 páginas
...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 - 1928 - 348 páginas
...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.... | |
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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. 
