Book:Elias Loomis/Elements of Analytical Geometry and of the Differential and Integral Calculus

Subject Matter

 * Analytic Geometry
 * Calculus

Contents

 * Preface

Analytical Geometry

 * Section I. Application of Algebra to Geometry
 * Geometrical Magnitudes represented by Algebraic Symbols
 * Solution of Problems


 * Section II. Construction of Equations
 * Construction of the Sum and Difference of two Quantities
 * Product of several Quantities
 * Fourth Proportional to three Quantities
 * Mean Proportional between two Quantities
 * Sum or Difference of two Squares
 * To inscribe a Square in a given Triangle
 * To draw a Tangent to two Circles


 * Section III. On the Point and Straight Line
 * Methods of denoting the position of a Point
 * Abscissa and Ordinate defined
 * Equations of a Point
 * Equations of a Point in each of the four Angles
 * Equation of a straight Line
 * Four Positions of the proposed Line
 * Equation of the first Degree containing two Variables