 | George Albert Wentworth - 1886 - 322 pages
...point on the ellipse ; then, Hence, e = FQ+ QS. THE ELLIPSE. Whence, the ellipse is often defined as : The locus of a point which moves so that its distances from a fixed point and a fixed straight line bear a constant ratio less than unity. 151. To find the polar... | |
 | George Albert Wentworth - Geometry, Analytic - 1887 - 264 pages
...times as far from the axis of x as from the axis of y. What is the equation of its locus? 3. What is the equation of the locus of a point which moves so that its ordinate is always equal to+4? —1? 0? 4. A point so moves that its distance from the straight line... | |
 | George Albert Wentworth - 1894 - 362 pages
...of the point from the axis of y ; hence y = 3x is the equation of the locus of the point. 2. What is the equation of the locus of a point which moves so that its abscissa is always equal to +6? —6? 0? In the first case the point must trace a straight line parallel... | |
 | 1895 - 800 pages
...straight line. 4. Shew that the sum of the focal distances of any point on an ellipse is constant. Find the equation of the locus of a point which moves so that the sum of its distances from two fixed points is constant. 5. Find from the definition the differential... | |
 | George Cunningham Edwards - Geometry - 1895 - 328 pages
...given planes. 21. Find the locus of points which are equally distant from three given planes. 22. Find the locus of a point which moves so that its distances from the three edges of a triedral are always equal to each other. 23. Find the locus of points in a given... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...the intersection of y = 7 x — 4 and 2 z + y = 5, and forming with the z-axis the angle -y à 21. Find the equation of the locus of a point which moves so as to be always equidistant from the points (0, 0) and (3, 2). Show that the points (0, 0), (3, 2),... | |
 | Jacob William Albert Young, Charles Elijah Linebarger - Calculus - 1900 - 440 pages
...In Arts. 14, 5, and 20 it has been shown that the ellipse, the parabola, and the hyperbola are each the locus of a point, which moves so that its distances from a fixed point (focus) and a fixed line (directrix) are in a constant ratio (eccentricity). For the... | |
 | Jacob William Albert Young, Charles Elijah Linebarger - Calculus - 1900 - 446 pages
...In Arts. 14, 5, and 20 it has been shown that the ellipse, the parabola, and the hyperbola are each the locus of a point, which moves so that its distances from a fixed point {focus) and a fixed line (directrix) are in a constant ratio (eccentricity). For the... | |
 | 1902 - 128 pages
...= (z + 1) (l-2z), and the variables are separated, and therefore, &c. 14762. (FH PEACIIELL, BA)— Find the equation of the locus of a point which moves so that the square of the tangent drawn from it to a fixed circle is the arithmetic mean between the squares... | |
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Find the equation of the locus of a point which moves so that its distances from (8, 0) and (2, 0) are always in a constant ratio equal to 2. 
