Other editions of book The Elements of Coordinate Geometry

The book ‘Elements of Coordinate Geometry’ by S. L. Loney is a fundamental book on analytical geometry in Mathematics for school and college students. Even after a century, it is still now an unparalleled book on two-dimensional coordinate geometry and it creates the backbone of a student who loves mathematics. This book consists of 17 chapters. Some fundamental algebraic results are stated in Chapter 1. Chapter 2 and Chapter 3 deal with the fundamentals of coordinate geometry. Chapters 4-6 deal with straight line and pair of straight lines. Chapter 7 states the concepts of transformation of coordinates. Circle and system of circles are discussed in chapters 8 and 9. Conic sections that include parabola, ellipse and hyperbola are discussed in chapters 10 through 13. Discussions in chapters 1-13 are based on rectangular and oblique Cartesian Coordinate system. Conics in polar coordinate system is discussed in Chapter 14. General Equations are discussed in chapters 15-16. Last chapter, Chapter 17 deals with miscellaneous propositions.The book ‘Elements of Coordinate Geometry’ by S. L. Loney is the father of all coordinate geometry books available in the present academic market. One should read this book carefully – it will create a mind with clear concepts and in depth knowledge on coordinate geometry. This helps the reader to solve any kind of problems on coordinate geometry of 2D.The solutions to exercise problems are given at the end of each chapter.

This is the most classic book on coordinate geometry Although this book dates back to 1900 it is still the definitive resource on coordinate geometry today. This book is required reading for aspiring mathematicians and physicists in India as they prepare for the IIT JEE exam. Not only is the text useful in conveying concepts, but the selection of problems is classic. If you want to master the art of coordinate geometry this is one book you can't do without. Learn like Ramanujan The famous Indian mathematician Ramanujan is said to have mastered this book at a young age which contributed to his success. If you want to progress beyond the simplified way geometry is usually taught then you definitely will want to have this book

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 Excerpt: ...m1m3 + m2(m1--m3) = m1m3-m22 (6). Also, (5) and (2) give 2m22 = (w + m3)2-2m1m3=m22-2m1m3, i.e. 7W22 + 2m1m3=0 (7). Solving (6) and (7), we have 2a-ft, „ rt 2a-h 7713=--=--, and 7M2 =-2 x. oa oa Substituting these values in (4), we have.2a--h h 2a-h I 2-„ oa a i.e. 21ak2 = 2(h-2a) so that the required locus is 21ay2=2(x-2af. 238. Ex. If the normals at three points P, Q, and R meet in a point O and S be the focus, prove that SP. SQ. SR = a. SO2. As in the previous question we know that the normals at the points (am12,-2am1), (am22,-2am2) and (am32,-2am3) meet in the point (ft, k) if m1 + m2 + m3 = 0 (1), 2a-ft m2m3 + m+711-2 =-----(2), k and m1m2m3=--(3). By Art. 202 we have 8P=al + ml2) SQ-a(l + m22)f and SR = al+m32). Hence SP'S®' SR = (l + m12) (l + m22) (l + m32) = 1 + (mx2 + m22 + ra32) + (m22m32 + m.m + mm?) + m-fm22m£. Also, from (1) and (2), we have mx2 + m22 + m32 = (m1 + m2 + ms)2-2 (?w2m3 + m3wi + wiw2) and m2%32 + mm-f + m12m22 = (m2mB + m37?i1 + ra)2-2m1m2m3 (mx + m2 + m3) = (-)',by(l)and(2). SP.SQ.SB, 07z-2a fh-2ay k2 Hence 1 = 1 + 2----+ ( +--a? a a J a _(h-a)2 + k2_S02 a2 a2 ' i.e. SP.SQ.SR = S02.a. EXAMPLES. XXX. Find the locus of a point 0 when the three normals drawn from it are such that 1. two of them make complementary angles with the axis. 2. two of them make angles with the axis the product of whose tangents is 2. 3. one bisects the angle between the other two. 4. two of them make equal angles with the given line y=mx + c. 5. the sum of the three angles made by them with the axis is constant. 6. the area of the triangle formed by their feet is constant. 7. the line joining the feet of two of them is always in a given direction. The normals at three points Pf Q, and 12 of the parabola y2--4ax meet in a point 0 who...

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Leather Binding on Spine and Corners with Golden Leaf Printing on round Spine (extra customization on request like complete leather, Golden Screen printing in Front, Color Leather, Colored book etc.) Reprinted in 2019 with the help of original edition published long back [1896]. This book is printed in black & white, sewing binding for longer life, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, we processed each page manually and make them readable but in some cases some pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume, if you wish to order a specific or all the volumes you may contact us. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. Hope you will like it and give your comments and suggestions. Lang: - English, Pages 444. EXTRA 10 DAYS APART FROM THE NORMAL SHIPPING PERIOD WILL BE REQUIRED FOR LEATHER BOUND BOOKS. COMPLETE LEATHER WILL COST YOU EXTRA US$ 25 APART FROM THE LEATHER BOUND BOOKS. {FOLIO EDITION IS ALSO AVAILABLE.}

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

{Size: 14.34 x 22.59 cms} Lang: - English, Pages 446. Reprinted in 2017 with the help of original edition published long back [1895]. This book is Printed in black & white, Hardcover, sewing binding for longer life with Matt laminated multi-Colour Dust Cover, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, we processed each page manually and make them readable but in some cases some pages which are blur or missing or black spots. If it is multi volume set, then it is only single volume, if you wish to order a specific or all the volumes you may contact us. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Any type of Customisation is possible). Hope you will like it and give your comments and suggestions.

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.