Euclidean Geometry

e-books in Euclidean Geometry category

Higher Elementary GeometryHigher Elementary Geometry
by Venugopal , 1958
This geometry text is written for the Pre-university students to serve as an introduction to Higher Elementary Geometry, either as a subsidiary or a main Subject. The aim is to give to the Students certain Elementary ideas about the subject.
Elementary Geometry: Practical and TheoreticalElementary Geometry: Practical and Theoretical
by C. Godfrey, A. W. Siddons - Cambridge University Press , 1919
The aim of the authors of the present work has been to produce a book which will help to make Greometry an attractive subject to the average British boy or girl. Among the exercises, some are experimental and lead up to future propositions ...

Famous Problems of Elementary GeometryFamous Problems of Elementary Geometry
by Felix Klein - Ginn and Co. , 1897
Professor Pelix Klein presented in this book a discussion of the three famous geometric problems of antiquity -- the duplication of the cube, the trisection of an angle, and the quadrature of the circle, as viewed in the light of modern research.
Rotations of Vectors Via Geometric AlgebraRotations of Vectors Via Geometric Algebra
by James A. Smith - viXra , 2016
Geometric Algebra (GA) promises to become a universal mathematical language. This document reviews the geometry of angles and circles, then treats rotations in plane geometry before showing how to formulate problems in GA terms, then solve them.
The Elements of Solid GeometryThe Elements of Solid Geometry
by William C. Bartol - Leach, Shewell & Sanborn , 1893
The author gives a number of theorems for demonstration and many illustrative examples. A section on Mensuration is introduced with the design of calling special attention to all the important rules for finding volumes and surfaces of solids ...
Compiled and Solved Problems in Geometry and TrigonometryCompiled and Solved Problems in Geometry and Trigonometry
by Florentin Smarandache - , 2015
This book includes 255 problems of 2D and 3D Euclidean geometry plus trigonometry. The degree of difficulties of the problems is from easy and medium to hard. The solutions are at the end of each chapter. The book is especially a didactic material...
Constructive GeometryConstructive Geometry
by John G. Kerr - Blackie And Son Limited. , 1904
The subject-matter of the book is that of the first three books of the Elements, but there is a great departure as regards the method. As the pupil proceeds, he is helped to build up ideas in the same way as in the elements of physics and chemistry.
A Concise GeometryA Concise Geometry
by Clement V. Durell - G. Bell And Sons Limited. , 1921
The primary object of this textbook is to supply a large number of easy examples, in the belief that the educational value of the subject lies far more in the power to apply the fundamental facts of geometry, than in the ability to reproduce proofs.
Practical Plane and Solid Geometry for Advanced StudentsPractical Plane and Solid Geometry for Advanced Students
by J. Harrison, G.A. Baxandall - Macmillan , 1899
This book is written for Science students. The necessity of accurate draughtsmanship is insisted on throughout. We describe how the drawing instruments may be set and maintained. And the numerical answers are appended to many of the examples.
A Tour of Triangle GeometryA Tour of Triangle Geometry
by Paul Yiu - Florida Atlantic University , 2005
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
Geometry: From Ancient to ModernGeometry: From Ancient to Modern
by Wong Yan Loi - National University of Singapore , 1999
Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.
An Elementary Treatise on Conic SectionsAn Elementary Treatise on Conic Sections
by Charles Smith - The Macmillan Company , 1905
In the following work I have investigated the more elementary properties of the Ellipse, Parabola, and Hyperbola, defined with reference to a focus and directrix, before considering the General Equation of the Second Degree...
Euclid's 'Elements' ReduxEuclid's 'Elements' Redux
by Daniel Callahan - , 2013
Euclid's 'Elements' Redux is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time...
Advanced Geometry for High Schools: Synthetic and AnalyticalAdvanced Geometry for High Schools: Synthetic and Analytical
by A.H. McDougall - Copp, Clark , 1919
Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.
Euclid's Elements of GeometryEuclid's Elements of Geometry
by J.L. Heiberg, R. Fitzpatrick , 2008
Euclid's Elements is the most famous mathematical work of classical antiquity, and also has the distinction of being the oldest continuously used mathematical textbook. The main subjects of the work are geometry, proportion, and number theory.
A Course of Pure Geometry: Properties of the Conic SectionsA Course of Pure Geometry: Properties of the Conic Sections
by E.H. Askwith - Cambridge University Press , 1917
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
Geometry of Four DimensionsGeometry of Four Dimensions
by Parker Manning Henry - The MacMillan Company , 1914
Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; etc.
The First Six Books of the Elements of EuclidThe First Six Books of the Elements of Euclid
by John Casey, Euclid - Longmans, Green, and Co. , 1885
This edition of the Elements of Euclid is intended to supply a want much felt by teachers at the present day - the production of a work which, while giving the original in all its integrity, would also contain the modern conceptions and developments.
Researches on Curves of the Second OrderResearches on Curves of the Second Order
by George Whitehead Hearn - Project Gutenberg , 2005
Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.
First Principles of Symmetrical BeautyFirst Principles of Symmetrical Beauty
by David Ramsay Hay - W. Blackwood and sons , 1846
From the table of contents: Nature of the science of aesthetics explained; Plane figures the bases of all forms; The isosceles triangle; Universal application of the composite ellipse in the arts of ornamental design; and more.
Geometry Formulas and FactsGeometry Formulas and Facts
by Silvio Levy - CRC Press , 1995
Contents: Coordinate Systems in the Plane; Plane Symmetries or Isometries; Lines; Polygons; Circles; Conics; Special Plane Curves; Coordinate Systems in Space; Space Symmetries or Isometries; Directions, Planes and Lines; Polyhedra; Spheres; etc.
Plane GeometryPlane Geometry
by George Wentworth, David E. Smith - Ginn and Company , 1913
For a generation this was the leading textbook on the subject of plane geometry in America. Topics covered: rectilinear figures, the circle, proportion, similar polygons, areas of polygons, regular polygons and circles, etc.
Coordinate GeometryCoordinate Geometry
by Henry B. Fine, Henry D. Thompson - The MacMillan Company , 1911
Contents: Coordinates; The Straight Line; The Circle; The Parabola; The Ellipse; The Hyperbola; Transformation Of Coordinates; The General Equation Of The Second Degree; Sections Of A Cone; Systems Of Conics; Tangents And Polars Of The Conic; etc.
A Modern Course on Curves and SurfacesA Modern Course on Curves and Surfaces
by Richard S. Palais - , 2003
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; ODE; and more.
CK-12 GeometryCK-12 Geometry
by V. Cifarelli, A. Gloag, D. Greenberg, J. Sconyers, B. Zahner - CK-12 Foundation , 2009
Contents: Reasoning and Proof; Parallel and Perpendicular Lines; Congruent Triangles; Relationships Within Triangles; Quadrilaterals; Similarity; Right Triangle Trigonometry; Circles; Perimeter and Area; Surface Area and Volume; Transformations.
Solid Geometry, with Problems and ApplicationsSolid Geometry, with Problems and Applications
by H. E. Slaught, N. J. Lennes - Allyn and Bacon , 1919
From the table of contents: Introduction; Axioms and Theorems from Plane Geometry; Properties of the Plane; Regular Polyhedrons; Prisms and Cylinders; Pyramids and Cones; The Sphere; Portraits and biographical sketches; and more.
Conic Sections Treated GeometricallyConic Sections Treated Geometrically
by W. H. Besant - George Bell and Sons , 1895
In the present Treatise the Conic Sections are defined with reference to a focus and directrix, and I have endeavoured to place before the student the most important properties of those curves, deduced, as closely as possible, from the definition.
Lectures on Discrete and Polyhedral GeometryLectures on Discrete and Polyhedral Geometry
by Igor Pak - UCLA , 2008
This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.
The Foundations of GeometryThe Foundations of Geometry
by David Hilbert - Project Gutenberg , 1902
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.
Virtual Polyhedra: The Encyclopedia of PolyhedraVirtual Polyhedra: The Encyclopedia of Polyhedra
by George W. Hart , 2000
Polyhedra have an enormous aesthetic appeal and the subject is fun and easy. This is a collection of thousands of virtual reality polyhedra for you to explore. There are hundreds here which have never been illustrated in any previous publication.
A. N. Whitehead's Geometric AlgebraA. N. Whitehead's Geometric Algebra
by Stephen Blake , 2005
This is a text on 3-d Euclidean computational geometry intended to be used in engineering applications. On the other hand, the methods of Whitehead's algebra enable us to readily deal with Euclidean and non-Euclidean spaces of any dimension.
Theory of Symmetry and OrnamentTheory of Symmetry and Ornament
by Slavik V. Jablan - Matematicki Institut , 1995
This work is a comparative analysis of the theory of discrete and visually presentable continuous symmetry groups in the plane E2 or in E2\{O}: Symmetry Groups of Rosettes, Friezes and Ornaments, Similarity Symmetry Groups in E2, etc.
Mathematical Illustrations: A Manual of Geometry and PostScriptMathematical Illustrations: A Manual of Geometry and PostScript
by Bill Casselman - Cambridge University Press , 2005
The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.
Euclid's ElementsEuclid's Elements
by D.E.Joyce , 1998
Online edition of Euclid's Elements, one of the most beautiful and influential works of science in the history of humankind. The text of all 13 Books is complete, and all of the figures are illustrated using a Java applet called the Geometry Applet.
The Pythagorean Theorem: Crown Jewel of MathematicsThe Pythagorean Theorem: Crown Jewel of Mathematics
by John C. Sparks - AuthorHouse , 2008
The book chronologically traces the Pythagorean theorem from the beginning, through 4000 years of Pythagorean proofs. The text presents some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the theorem.
Geometry for Elementary SchoolGeometry for Elementary School
- Wikibooks , 2007
This book is intended for use by a parent and a child. It is recommended that the parent have some familiarity with geometry, but this is not necessary. The parent can simply read the chapter before teaching the child and then learn it together.
Geometry and BilliardsGeometry and Billiards
by Serge Tabachnikov , 1991
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods are tested.
A Text-Book of GeometryA Text-Book of Geometry
by G. A. Wentworth - Ginn & Company , 1898
Introduction to geometry, the straight line, circle, proportional lines and similar polygons, areas of polygons, regular polygons and circles. The book includes exercises: theorems, problems of construction, loci, and problems of computation.