The Elements of Coordinate Geometry

Fully Illustrated, Including Over 1,100 Examples - Chapters: Algebraic Results - Coordinates - Lengths Of Straight Lines And Areas Of Triangles - Locus - Equation To A Locus - The Straight Line: Rectangular Coordinates - Straight Line Through Two Points - Angle Between Two Given Straight Lines - Conditions That They May Be Parallel And Perpendicular - Length Of A Perpendicular - Bisectors Of Angles - The Straight Line: Polar Equations And Oblique Coordinates - Equations Involving And Arbitrary Constant - Examples Of Loci - Equations Representing Two Or More Straight Lines - Angle Between Two Lines Given By One Equation - General Equation Of The Second Degree - Transformation Of Coordinates - Invariants - The Circle: Equation To A Tangent - Pole And Polar - Equation To A Circle In Polar Coordinates - Equation Referred To Oblique Axes - Equations In Terms Of One Variable - Systems Of Circles: Orthogonal Circles - Radical Axis - Coaxel Circles - Conic Sections: The Parabola - Equation To A Tangent - Some Properties Of The Parabola - Pole And Polar - Diameters - Equations In Terms Of One Variable - Loci Connected With The Parabola - Three Normals Passing Through A Given Point - Parabola Referred To Two Tangents As Axes - The Ellipse: Auxiliary Circle And Eccentric Angle - Equation To A Tangent - Some Properties Of The Ellipse - Pole And Polar - Conjugate Diameters - Four Normals Through Any Point - Examples Of Loci - The Hyperbola: Asymptotes - Equation Referred To The Asymptotes As Axes - One Variable - Polar Equation To A Conic: Polar Equation To A Tangent, Polar, And Normal - General Equation - Tracing Of Curves, Envelopes, Etc., Etc. - Answers