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The Elements Of Non Euclidean Plane Geometry And Trigonometry Scholars Choice Edition
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Book Synopsis The Elements of Non-Euclidean Plane Geometry and Trigonometry - Scholar's Choice Edition by : Horatio Scott Carslaw
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry - Scholar's Choice Edition written by Horatio Scott Carslaw and published by Scholar's Choice. This book was released on 2015-02-19 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Elements of Non-Euclidean Plane Geometry and Trigonometry, by H. S. Carslaw by : H. S. Carslaw
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry, by H. S. Carslaw written by H. S. Carslaw and published by . This book was released on 2004-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-Euclidean Plane Geometry and Trigonometry by : Horatio Scott Carslaw
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry written by Horatio Scott Carslaw and published by . This book was released on 1916 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-Euclidean Plane Geometry and Trigonometry by : H. S. Carslaw
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry written by H. S. Carslaw and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-Euclidean Plane Geometry and Trigonometry, Etc by : Horatio Scott CARSLAW
Download or read book The Elements of Non-Euclidean Plane Geometry and Trigonometry, Etc written by Horatio Scott CARSLAW and published by . This book was released on 1916 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Plane and Spherical Trigonometry - Scholar's Choice Edition by : Alfred Challice Johnson
Download or read book The Elements of Plane and Spherical Trigonometry - Scholar's Choice Edition written by Alfred Challice Johnson and published by Scholar's Choice. This book was released on 2015-02-18 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Elements of Non-euclidean Plane Geometry and Trigonometry by : D. M. Y. Sommerville
Download or read book The Elements of Non-euclidean Plane Geometry and Trigonometry written by D. M. Y. Sommerville and published by . This book was released on 2005 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-euclidean Plane Geometry and Trigonometry by : Florian Cajori
Download or read book The Elements of Non-euclidean Plane Geometry and Trigonometry written by Florian Cajori and published by . This book was released on 1916 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Geometry and Trigonometry - Scholar's Choice Edition by : David Brewster
Download or read book Elements of Geometry and Trigonometry - Scholar's Choice Edition written by David Brewster and published by . This book was released on 2015-02-18 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Elements of Non-Euclidean Geometry by : Duncan M'Laren Young Sommerville
Download or read book The Elements of Non-Euclidean Geometry written by Duncan M'Laren Young Sommerville and published by . This book was released on 1914 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Elements of Non-Euclidean Geometry by : Julian Lowell Coolidge
Download or read book The Elements of Non-Euclidean Geometry written by Julian Lowell Coolidge and published by . This book was released on 1909 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Non-Euclidean Geometry and Trigonometry by : Horatio Scott Carslaw
Download or read book Elements of Non-Euclidean Geometry and Trigonometry written by Horatio Scott Carslaw and published by . This book was released on 1916 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-euclidean Geometry by : Henry Parker Manning
Download or read book Non-euclidean Geometry written by Henry Parker Manning and published by Createspace Independent Publishing Platform. This book was released on 2017-07-06 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: A versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. Its first two-thirds requires just a familiarity with plane and solid geometry and trigonometry, and calculus is employed only in the final part. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry.
Book Synopsis An Elementary Treatise on Plane and Spherical Trigonometry - Scholar's Choice Edition by : Benjamin Peirce
Download or read book An Elementary Treatise on Plane and Spherical Trigonometry - Scholar's Choice Edition written by Benjamin Peirce and published by Scholar's Choice. This book was released on 2015-02-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Elements of Non-euclidean Geometry by : D. M. Y. Sommerville
Download or read book The Elements of Non-euclidean Geometry written by D. M. Y. Sommerville and published by . This book was released on 1958 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Treatise of Plane and Spherical Trigonometry in Theory and Practice - Scholar's Choice Edition by : Francis Nichols
Download or read book A Treatise of Plane and Spherical Trigonometry in Theory and Practice - Scholar's Choice Edition written by Francis Nichols and published by . This book was released on 2015-02-19 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Elements of Non-Euclidean Geometry by : Julian Coolidge
Download or read book The Elements of Non-Euclidean Geometry written by Julian Coolidge and published by . This book was released on 2013-05-30 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Elements of Non-Euclidean Geometryby Julian Lowell Coolidge Ph.D. - Harvard UniversityContents:CHAPTER IFOUNDATION FOR METRICAL GEOMETRY IN A LIMITED REGIONFundamental assumptions and definitionsSums and differences of distancesSerial arrangement of points on a lineSimple descriptive properties of plane and spaceCHAPTER IICONGRUENT TRANSFORMATIONSAxiom of continuityDivision of distances Measure of distanceAxiom of congruent transformations Definition of angles, their propertiesComparison of trianglesSide of a triangle not greater than sum of other twoComparison and measurement of anglesNature of the congruent groupDefinition of dihedral angles, their propertiesCHAPTER IIITHE THREE HYPOTHESESA variable angle is a continuous function of a variable distanceSaccheri's theorem for isosceles birectangular quadrilateralsThe existence of one rectangle implies the existence of an infinite numberThree assumptions as to the sum of the angles of a right triangleThree assumptions as to the sum of the angles of any triangle, their categorical natureDefinition of the euclidean, hyperbolic, and elliptic hypothesesGeometry in the infinitesimal domain obeys the euclidean hypothesisCHAPTER IVTHE INTRODUCTION OF TRIGONOMETRIC FORMULAELimit of ratio of opposite sides of diminishing isosceles quadrilateralContinuity of the resulting functionIts functional equation and solutionFunctional equation for the cosine of an angleNon-euclidean form for the pythagorean theoremTrigonometric formulae for right and oblique trianglesCHAPTER VANALYTIC FORMULAEDirected distancesGroup of translations of a linePositive and negative directed distancesCoordinates of a point on a lineCoordinates of a point in a planeFinite and infinitesimal distance formulae, the non-euclidean plane as a surface of constant Gaussian curvatureEquation connecting direction cosines of a lineCoordinates of a point in spaceCongruent transformations and orthogonal substitutionsFundamental formulae for distance and angleCHAPTER VICONSISTENCY AND SIGNIFICANCE OF THE AXIOMSExamples of geometries satisfying the assumptions madeRelative independence of the axiomsCHAPTER VIITHE GEOMETRIC AND ANALYTIC EXTENSION OF SPACEPossibility of extending a segment by a definite amount in the euclidean and hyperbolic casesEuclidean and hyperbolic spaceContradiction arising under the elliptic hypothesisNew assumptions identical with the old for limited region, but permitting the extension of every segment by a definite amountLast axiom, free mobility of the whole systemOne to one correspondence of point and coordinate set in euclidean and hyperbolic casesAmbiguity in the elliptic case giving rise to elliptic and spherical geometryIdeal elements, extension of all spaces to be real continuaImaginary elements geometrically defined, extension of all spaces to be perfectcontinua in the complex domainCayleyan Absolute, new form for the definition of distanceExtension of the distance concept to the complex domainCase where a straight line gives a maximum distanceCHAPTER VIIITHE GROUPS OF CONGRUENT TRANSFORMATIONSCongruent transformations of the straight line,, ,, ,, hyperbolic plane,, ,, ,, elliptic plane,, ,, ,, euclidean plane,, ,, ,, hyperbolic space,, ,, ,, elliptic and spherical spaceClifford parallels, or paratactic linesCHAPTER IXPOINT, LINE, AND PLANE TREATED ANALYTICALLYCHAPTER XTHE HIGHER LINE GEOMETRYCHAPTER XITHE CIRCLE AND THE SPHERECHAPTER XIICONIC SECTIONSCHAPTER XIIIQUADRIC SURFACESCHAPTER XIVAREAS AND VOLUMESVolume of a cone of revolution, a sphere, the whole of elliptic or of spherical spaceCHAPTER XVINTRODUCTION TO DIFFERENTIAL GEOMETRYCHAPTER XVIDIFFERENTIAL LINE-GEOMETRYCHAPTER XVIIMULTIPLY CONNECTED SPACESCHAPTER XVIIITHE PROJECTIVE BASIS OF NON-EUCLIDEAN GEOMETRYCHAPTER XIXTHE DIFFERENTIAL BASIS FOR EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY
