The Elements Of Co Ordinate Geometry By Sl Loney Cartesian And Polar Coordinates

In this book, S. L. Loney tried to present elements of coordinate geometry in a manner suitable for beginners. This book deals with Cartesian and Polar Coordinates. The Straight Line and Circles are described more fully than the other portions of the subjects since it is generally in the elementary conception that beginners find more difficulties. This book comprises topics like- Coordinates, Straight Lines, Locus Equations, Rectangular Coordinates, Circles, Conics Sections, Parabola, Ellipses, Hyperbola, Polar Equations, and many other concepts. This book has been written in clear, concise, and simplified language so that beginners can understand it with minimal assistance

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

ABOUT THE BOOK The "Classic Text Series" is a collection of books written by the most famous mathematicians of their time and has been proven over the years as the most preferred concept-building tool to learn mathematics. Arihant's imprints of these books are a way of presenting these timeless classics. Known as the early influencer on Ramanujan, SL LONELY was a great mathematician from 1800. The book "Coordinate Geometry" has been updated and deals with the modern treatment of complex concepts of Coordinate Geometry. Formulated as per the latest syllabus, this complete preparatory guide is compiled with detailed theories, and a good collection of examples for an in-depth understanding of the concepts. The unique features accumulated in this book are: 1. Complete coverage of syllabus in 17 Chapters 2. Covers all the aspects of Cartesian and Polar Coordinates 3. Enormous Examples for an in-depth understanding of topics 4. Works as an elementary textbook to build concepts 5. Chapterwise study notes, Answers TABLE OF CONTENT: Chapter 1- Introduction, Chapter 2- Coordinates, Chapter 3- Locus, Chapter 4- The Straight Line Rectangular Coordinates, Chapter 5- The Straight Line Polar Equations & Oblique Coordinates, Chapter 6- Equations Representing Two Or More Straight Lines, Chapter 7- Transformation Of Coordinates, Chapter 8- The Circle, Chapter 9- Systems of Circles, Chapter 10- Conic Sections. The Parabola, Chapter 11- The Parabola (Continued), Chapter 12- The Ellipse, Chapter 13- The Hyperbola, Chapter 14- Polar Equation To A Conic, Chapter 15- General Equation. Tracing Of Curves, Chapter 16- General Equation, Chapter 17- Miscellaneous Propositions, Answers

Presents a systematic study of straight lines, circles and conics by using the powerful tool of polar coordinates. This book contains sufficient number of solved examples and problems, placed in an appropriate order, to help understand the concepts and techniques.

The Present Book Coordinate Geometry Of Two Dimensions Aims At Providing The Students With A Detailed Study Of Polar Coordinates, Polar Equations Of A Straight Line And A Circle, Polar Equations Of Conics, General Equation Of Second Degree And System Of Conics The Topics Included In The Ugc Syllabus.Primarily Meant For Students Of B.Sc./B.A. Of Several Indian Universities, The Book Exactly Covers The Prescribed Syllabus. It Neither Includes The Irrelevant Nor Escapes The Essential Topics. Its Approach Is Explanatory, Lucid And Comprehensive. The Analytic Explanation Of The Subject Matter Is Very Systematic Which Would Enable The Students To Assess And Thereby Solve The Related Problems Easily. Sufficient Number Of High-Graded Solved Examples Provided In The Book Facilitate Better Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, Practice Exercises Of Multiple Varieties Will Undoubtedly Prove Helpful In Quick Revision Of The Subject. The Figures And Also The Answers Provided In The Book Are Accurate And Verified Thoroughly.A Proper Study Of The Book Will Definitely Bring To Students A Brilliant Success. Even Teachers Will Find It Useful In Elucidating The Subject To The Students Of Mathematics.