Plane and solid analytic geometry, by William F. Osgood and William C. Graustein.

xii CONTENTS
ART. PAGE
3. The Equation u + kv = 0....... 165
4. The Equation uv = 0.......173
5. Tangents with a Given Slope. Discriminant of a Quadratic
Equation. 174
6. General Formulas for Tangents with a Given Slope.. 179
7. Tangents to a Conic from an External Point... 185
Exercises on Chapter IX....... 188
CHAPTER X
POLAR COORDINATES
1. Definition....... 193
2. Circles.......... 194
3. Straight Lines......... 196
4. Graphs of Equations...... 198
5. Conics........... 202
6. Transformation to and from Cartesian Coordinates.. 206
Exercises on Chapter X.......210
CHAPTER XI
TRANSFORMATION OF COORDINATES
1. Parallel Axes......... 216
2. Rotation of the Axes........219
3. The General Case.... 223
4. Determination of the Transformation from the Equations of
the New Axes......... 226
5. Reversal of One Axis....... 230
Exercises on Chapter XI...... 231
CHAPTER XII
THE GENERAL EQUATION OF THE SECOND DEGREE
1. Change of Origin of Coordinates...... 235
2. Rotation of Axes.........239
3. Continuation. General Case...... 241
4. The General Equation, B2 - 4 AC = 0.....247
5. The General Equation, B2 - 4 AC 0.... 250
6. Summary. Invariants...... 256
Exercises on Chapter XII..... 257