# Analytic Geometry

Ginn, 1922 - Geometry, Analytic - 290 pages
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### Contents

 INTRODUCTION 1 GEOMETRIC MAGNITUDES 15 LOCI AND THEIR EQUATIONS 33 THE STRAIGHT LINE 34 THE CIRCLE 36 HIGHER PLANE CURVES 49 POINT PLANE AND LINE XIV SURFACES 90 A 0 3 91
 っ O 95 SUPPLEMENT NOTE ON THE HISTORY OF ANALYTIC GEOMETRY INDEX PAGE 1 15 100 91 106 265 250 283 265 287 268 289 270 Copyright

### Popular passages

Page 38 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Page 145 - Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line.
Page 115 - 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...
Page 106 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Page 106 - Find the equation of the circle inscribed in the triangle formed by the lines x + y = 0, x - 7y + 24 = 0, and 7x - y -8 = 0.
Page 240 - ... y, z respectively. These angles are called the direction angles of the line, and their cosines are called the direction cosines of the line.
Page 223 - The cycloid is a plane curve formed by a point on a circle as the circle rolls along a straight line.
Page 216 - 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.
Page 138 - Prove that the ordinate of the point of intersection of two tangents to a parabola is the arithmetical mean between the ordinates of the points of contact of the tangents.
Page 182 - The equation of the locus of the foot of the perpendicular from the center of...