# A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections

Macmillan, 1862 - Conic sections - 326 pages

### Contents

 The Ellipse 141

### Popular passages

Page 100 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Page 304 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
Page 25 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.
Page 141 - Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig.
Page 189 - Hyperbola 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 greater than unity, to its distance from a fixed straight line, called the directrix.