Description
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
