 F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point...  An Elementary Course in Analytic Geometry - Page 177by John Henry Tanner, Joseph Allen - 1898 - 390 pagesFull view - About this book
 | Charles Smith - Conic sections - 1883 - 452 pages
...locus of the intersection of the taugents at P and Q is . « MC U> CHAPTER VI. THE ELLIPSE. Definition. An Ellipse is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is less than unity,... | |
 | Arthur Le Sueur - Circle - 1886 - 120 pages
...the axis. The axis itself is a diameter bisecting chords perpendicular to it. THE ELLIPSE. DEF. — An ellipse is the locus of a point which moves so that the sum of its distances from two fixed points ((he foci) is constant. Equation to an ellipse. S, S' the... | |
 | George Albert Wentworth - Geometry, Analytic - 1887 - 264 pages
...equal to the eccena tricity of the ellipse as defined in § 128. Whence an ellipse is often defined as The locus of a point which moves so that the ratio of its distances from a fixed point and a fixed straight line is constant and less than unity. Fis called... | |
 | George Cunningham Edwards - Geometry - 1895 - 328 pages
...of revolution. 168. THEOREM I. An ellipse is determinable when its axes are given. We have seen that an ellipse is the locus of a point which moves so that the sum B of its distances from F and F' equals AA' (2 &). When the moving point is sAB, BF=BF'=a. FIG.... | |
 | George Cunningham Edwards - Geometry - 1895 - 330 pages
...point which moves so that the ratio of its distances from two parallel lines always equals 1. 25. Find the locus of a point which moves so that the ratio of its distances from a fixed line and a fixed point of that line is constant. 26. Find the locus of points... | |
 | Asia - 1901 - 538 pages
...from a certain point •within the circle to the boundary is constant. A circle may also be defined as the locus of a point which moves so that the ratio of its distances from two fixed points is constant. This proposition has been proved as prop. 4 of the Theorems... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...resemble a dumb-bell, the second a figure of 8; the third consists of two separate ovals.) Ex. 1519. Plot the locus of a point which moves so that the ratio of its distances from two fixed points remains constant. (For example, let the two fixed points S, H be taken... | |
 | Albert Luther Candy - Geometry, Analytic - 1904 - 288 pages
...of the parameters in these polar equations. '¿v42 LOCI AND THEIR EQUATIONS [34 34. THE ELLIPSE. The ellipse is the locus of a point which moves so that the sum of its distances from two fixed points, cаlled foci, is constant. В Take the line through the... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 892 pages
...the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio...called the focus, to its distance from a fixed line (DD'), called the directrix, is constant and less than unity; the constant ratio is called the eccentricity... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1909 - 886 pages
...the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio...called the focus, to its distance from a fixed line (DD'), called the directrix, is constant and less than unity; the constant ratio is called the eccentricity... | |
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