 | Raymond Benedict McClenon - Functions - 1918 - 266 pages
...equal to its distance from the point (0, 4). Find the equation of its locus. 16. Find the equation of the locus of a point which moves so that its distance from the point (6, 1) is always equal to its distance from the line x = 2. In each of the following problems,... | |
 | Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 266 pages
...the origin. Prove that the locus is a sphere and find its center and radius. 13. Find the equation of the locus of a point which moves so that its distance from the x-axis is equal to its distance from the point (1, 0, 2). Describe and construct the surface. 103.... | |
 | American Mathematical Society - Mathematics - 1919 - 530 pages
...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 of 118 pages... | |
 | Arthur Horace Blanchard - Bridges - 1919 - 1698 pages
...center at the origin. Conic Sections. A conic section, or a conic, is defined to be a cur1 traced by a point which moves so that its distance from a fixed point s ways has a constant ratio to its distance from a fixed straight line. Equ tion (15) always represents... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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
...radius 6-1, strike the arc 1-2. Continue for each center. 1 121. The Ellipse. An ellipse is generated by a point which moves so that its distance from a fixed point bears to its distance from a fixed line a constant ratio less than unity. (See also § 112.) For typical... | |
 | 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... | |
| |
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. 
