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# Euclidean Geometry

E-Books for free online viewing and/or download

## e-books in this category

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**Practical 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.

(**1335** views)

**A 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.

(**1629** views)

**Geometry: 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.

(**1477** views)

**An 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...

(**857** views)

**Euclid's 'Elements' Redux**

by **Daniel Callahan** - **starrhorse.com** , **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...

(**1418** views)

**Higher Geometry: an introduction to advanced methods in analytic geometry**

by **Frederick S. Woods** - **Ginn & Co.** , **1922**

This book aims to present some of the general concepts and methods which are necessary for advanced work in algebraic geometry, and thus to bridge the gap between the usual text in analytic geometry and treatises or articles on special topics.

(**1233** views)

**Advanced 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.

(**1558** views)

**Euclid'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.

(**3171** views)

**Course of Analytical Geometry**

by **Ruslan Sharipov** - **UFA** , **2011**

This is a regular textbook of analytical geometry covering vector algebra and its applications to describing straight lines, planes, and quadrics in two and three dimensions. The book is addressed to students of mathematics, physics and engineering.

(**3284** views)

**A 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.

(**3652** views)

**Geometry 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.

(**4341** views)

**The 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.

(**3843** views)

**Researches 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.

(**2760** views)

**First 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.

(**5768** views)

**Analytical Geometry for Beginners**

by **Alfred Baker** - **W. J. Gage** , **1905**

The principles of Analytical Geometry are developed in the first two chapters of this book. The remainder of the book is occupied in applying the principles and methods of Analytical Geometry to the straight line, circle, parabola, etc.

(**7622** views)

**Geometry 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.

(**5686** views)

**Foundations of geometry for university students and high-school students**

by **Ruslan Sharipov** - **arXiv** , **2007**

This is a textbook for the course of foundations of geometry. It is addressed to mathematics students in Universities and to High School students for deeper learning. It can also be used in mathematics coteries and self-education groups.

(**6557** views)

**Plane 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.

(**7028** views)

**Coordinate 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.

(**7714** views)

**Analytic Geometry**

by **L. P. Siceloff, G. Wentworth, D. E. Smith** - **Ginn and Company** , **1922**

Contents: Geometric Magnitudes; Loci and their Equations; The Straight Line; The Circle; Transformation of Coordinates; The Parabola; The Ellipse; The Hyperbola; Conics in General; Polar Coordinates; Higher Plane Curves; Point, Plane, and Line; etc.

(**11993** views)

**A Modern Course on Curves and Surfaces**

by **Richard S. Palais** - **virtualmathmuseum.org** , **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.

(**7303** views)

**CK-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.

(**9364** views)

**Solid 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.

(**8676** views)

**Conic 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.

(**5972** views)

**Lectures 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.

(**4929** views)

**The 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.

(**7478** views)

**Virtual 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.

(**5036** views)

**A. 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.

(**7869** views)

**Theory 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.

(**5106** views)

**Mathematical 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.

(**8781** views)

**Isometrica: A Geometrical Introduction to Planar Crystallographic Groups**

by **George Baloglou** , **2007**

Planar crystallographic groups are one of the very first mathematical creations of humankind. This book's goal is the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic.

(**6975** views)

**Euclid'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.

(**11003** views)

**The 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.

(**11801** views)

**Geometry 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.

(**8653** views)

**Geometry 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 mathematicianâ€™s playground where various methods are tested.

(**6311** views)

**A 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.

(**20147** views)

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