...<r, 93. In accordance with Boscovich's definition, a conic section is the locus of a point so moving that the ratio of its distances from a fixed point and a fixed right line is constant. 1 . Let F (Fig. 80) be the fixed point or Fig. so. focus, DO the fixed line...

...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 the Pocus ; DN, (he Directrix. The symmetry...

...which is tangent to a given plane, and the surface of which passes through a fixed point. 90. Find the locus of a point which moves so that the ratio of its distances from a fixed point and from a fixed plane is constant and less than 1. 91. Find the locus of points, the ratio of the distances...

...plane which are equally distant from two points which may or may not be in the given plane. 24. Find the locus of a 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...

...HYPERBOLA Special Equation of the Second Degree Ao? — By* 115. The hyperbola defined. An hyperbola is the locus of a point which moves so that the ratio of its distance from a fixed point, called the focus, to its distance from a fixed line, called the directrix,...

...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 and Examples...

...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 3 in. apart...

...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, called the focus, to its distance from a fixed line (DD'), called the...

...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, called the focus, to its distance from a fixed line (DD'), called the...

...will be given. To investigate the form of the curve use. may be made of the definition: the ellipse is the locus of a point which moves so that the ratio of its distance from a fixed point (the /of«) to its distance from a straight line (the directrix) is constant...