 | University of Calcutta - 1881 - 556 pages
...illastrate it hy proving that triangles of tho same altitnde are to one another as their hases. 5. A point moves so that its distances from two fixed points are in a constant ratio to one another. Prove that its locns is a circle. 6. When is a straight line at riglu angles to a plane,*and... | |
 | 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 Cunningham Edwards - Geometry - 1895 - 330 pages
...two 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... | |
 | Frederick Harold Bailey - Geometry, Analytic - 1897 - 392 pages
...distances from any number of fixed points is constant. Show that the locus is a circle. -- 91. A point moves so that its distances from two fixed points are in a constant ratio k. Show that the locus is a circle, except when k = 1. . "~ 92. A line of length a moves with its extremities... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 484 pages
...tangents from it to two concentric circles are inversely proportional to the radii of the circles. 48. Find the locus of a point which moves so that its distances from two fixed points are in constant ratio I: Discuss the locus and draw the figure. 49. A point moves so that the square of its... | |
 | 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... | |
 | 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... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...and (β3, 0) always equals 68. Plot the locus. Ans. The circle z2 + y1 = 26. 9. 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. Plot the locus. Ans. The circle x2 + 2/2... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...(β 3, 0) always equals 08. Plot the locus. Ans. The circle x2 + y2 = 26. 9. 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. Plot the locus. Ans. The circle x2 + y2... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1905 - 240 pages
...and (β3, 0) always equals 68. Plot the locus. Ans. The circle z2 + y2 = 25. 9. 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. Plot the locus. Ans. The circle ΠΆ2 +... | |
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A point moves so that its distances from two fixed points are in a constant ratio k. 
