 | Robert Fowler Leighton - 1877 - 372 páginas
...to a new set of axes parallel to the former and passing through the centre of the curve. 7. What is the locus of a point whose distance from a fixed line is equal to its distance from a fixed point ? Find the equation. 8. Construct a hyperbola whose transverse axis is 6 and less focal distance... | |
 | De Volson Wood - 1890 - 372 páginas
...circles which touch the straight linea y± * = 0, and pass through the point (A, t). * + y* - 2y (2i ± 29. Show that the locus of a point whose distance...the circle x' + y' = 12, and the line 3* — 2y = 6. 31. Find the equation to the tangent of the circle x* + y* — 2 y — 8* = 0, passing through the... | |
 | Victor Tyson Wilson - 1909 - 282 páginas
...This may be denned, in graphical terms, as the locus of a point which moves in a plane so that its distance from a fixed line is equal to its distance from a fixed point. The line is known as the directrix, and the point as the focus of the parabola. The ratio of... | |
 | Virgil Snyder, Charles Herschel Sisam - 1914 - 307 páginas
...(a, 0, 0) bears a constant ratio to its distance (a) from the plane x = 0 ; (5) from the Z-axis. 9. Show that the locus of a point whose distance from a fixed plane is always equal to its distance from a fixed line perpendicular to the plane is a quadric cone.... | |
 | Charles Austin Hobbs - 1921 - 216 páginas
...to the surface. Find the locus (i) of the point of contact; (ii) of the moving line. Ex. 1161. Find the locus of a point whose distance from a fixed line is equal to its distance from a fixed plane perpendicular to that line. PROBLEMS OF COMPUTATION [Use for n the approximate value 3}] 1. Find... | |
 | Virgil Snyder, Charles Herschel Sisam - 1914 - 314 páginas
...(a, 0, 0) bears a constant ratio to its distance (a) from the plane ж = 0 ; (6) from the Z-axis. 9. Show that the locus of a point whose distance from a fixed plane is always equal to its distance from a fixed line perpendicular to the plane is a quadric cone.... | |
 | J. W. Downs - 2003 - 116 páginas
...be the axis of the parabola if AB is not perpendicular to CD. METHOD 7 A parabola may be defined as the locus of a point whose distance from a fixed line is equal to its distance from a fixed point. The fixed line is called the directrix and the point is the focus. The directrix is perpendicular... | |
 | 440 páginas
...intercepted is constant, are parallel to the generators of a circular cone. (Math. Trip. I, i9i4.) i3. Prove that the locus of a point whose distance from a fixed line is in a fixed ratio to its distance from a fixed plane is a cone. Examine the cases when the line (i)... | |
| |
Show that the locus of a point whose distance from a fixed plane is always equal to its distance from a fixed line perpendicular to the plane is a quadric cone. 