Analytic Geometry

Analytic Geometry covers several fundamental aspects of analytic geometry needed for advanced subjects, including calculus. This book is composed of 12 chapters that review the principles, concepts, and analytic proofs of geometric theorems, families of lines, the normal equation of the line, and related matters. Other chapters highlight the application of graphing, foci, directrices, eccentricity, and conic-related topics. The remaining chapters deal with the concept polar and rectangular coordinates, surfaces and curves, and planes. This book will prove useful to undergraduate trigonometric students. Content: Front Matter, Page iii Copyright, Page iv Dedication, Page v Preface, Page xi Chapter 1 - THE COORDINATE SYSTEM—FUNDAMENTAL RELATIONS, Pages 1-21 Chapter 2 - THE STRAIGHT LINE, Pages 22-49 Chapter 3 - GRAPHS OF NONLINEAR EQUATIONS, Pages 50-61 Chapter 4 - TRANSFORMATION OF COORDINATES, Pages 62-71 Chapter 5 - GRAPHING THE EQUATION: Ax2 + By2 + Cx + Dy + E = 0, Pages 72-93 Chapter 6 - THE CONIC SECTIONS, Pages 94-129 Chapter 7 - THE GENERAL SECOND-DEGREE EQUATION, Pages 130-135 Chapter 8 - PARAMETRIC EQUATIONS, Pages 136-143 Chapter 9 - POLAR COORDINATES, Pages 144-164 Chapter 10 - RECTANGULAR COORDINATES IN THREE DIMENSIONS, Pages 165-176 Chapter 11 - SURFACES AND CURVES, Pages 177-197 Chapter 12 - LINES AND PLANES, Pages 198-212 ANSWERS TO ODD-NUMBERED EXERCISES, Pages 213-219 INDEX, Pages 221-224 Trigonometric Functions, Page 225