 | Louis Charles Karpinski, Harry Yandell Benedict, John William Calhoun - 1918 - 544 páginas
...positive for CHAPTER XIX THE PARABOLA 1. Definition. — The ellipse has been defined (page 289) as the locus of a point which moves so that its distance from a fixed point, the focus, is in a constant ratio less than one to its distance from a fixed line, the directrix. If... | |
 | Maria M. Roberts, Julia Trueman Colpitts - 1918 - 266 páginas
...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.... | |
 | Raymond Benedict McClenon - 1918 - 266 páginas
...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,... | |
 | American Mathematical Society - 1919 - 530 páginas
...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... | |
 | George Alexander Gibson, Peter Pinkerton - 1919 - 510 páginas
...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... | |
 | Arthur Horace Blanchard - 1919 - 1698 páginas
...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... | |
 | William Neville Rose - 1920 - 542 páginas
...from -025* to -027*, ie, find x when AB = -025* and CD = -027*. 025 *l f B Fig. 33. — Gauge Hob. The Ellipse. — The ellipse is the locus of a point which moves in such a way that the sum of its distances from two fixed points, called the foci is constant. This... | |
 | William Fogg Osgood, William Caspar Graustein - 1921 - 650 páginas
...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... | |
 | George Young (jr.), Hubert Eugene Baxter - 1921 - 332 páginas
...equal to n, the resulting curve, urst, is a parabola. 1 114. The Parabola. The parabola is generated by a point which moves so that its distance from a fixed point is constantly equal to its distance from a fixed line. (See §§ 112 and 113.) FIG. 125 Since the eccentricity... | |
 | Claude Irwin Palmer, William Charles Krathwohl - 1921 - 374 páginas
...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... | |
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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. 
