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This PDF book covers the following topics related to Geometry : The Five Groups of Axioms, the Compatibility and Mutual Independence of the Axioms, the Theory of Proportion, the Theory of Plane Areas, Desargues’s Theorem, Pascal’s Theorem, Geometrical Constructions Based Upon the Axioms I-V.
Author(s): David Hilbert, Ph. D. Professor of Mathematics, University of Göttingen
105Pages
This PDF book covers the following topics related to Geometry : Introduction, Construction of the Euclidean plane, Transformations, Tricks of the trade, Concurrence and collinearity, Circular reasoning, Triangle trivia, Quadrilaterals, Geometric inequalities, Inversive and hyperbolic geometry, Projective geometry.
Author(s): Kiran S. Kedlaya
142Pages
This lecture note explains the following topics: Polygons, Convex Hull, Plane Graphs and the DCEL, Line Sweep, The Configuration Space Framework, Voronoi Diagrams, Trapezoidal Maps, Davenport-Schinzel Sequences and Epsilon Nets.
Author(s): Bernd Gartner and Michael Hoffmann
172Pages
This note covers the following topics: Points, Lines, Constructing equilateral triangle, Copying a line segment, Constructing a triangle, The Side-Side-Side congruence theorem, Copying a triangle, Copying an angle, Bisecting an angle, The Side-Angle-Side congruence theorem, Bisecting a segment, Some impossible constructions, Pythagorean theorem, Parallel lines, Squares, A proof of irrationality, Fractals.
Author(s): Wikibooks.org
72Pages
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. Topics covered includes: Lines Angles and Triangles, m Congruent Triangles, Quadrilaterals, Similar Triangles, Trigonometry of The Right Triangle, Area and Perimeter, Regular Polygons and Circles, Values of The Trigonometric Functions.
Author(s): Henry Africk
NAPages
This note is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Author(s): Acellus School
147Pages
This is a great mathematics book cover the following topics: Equilateral Triangle, Perpendicular Bisector, Angle Bisector, Angle Made by Lines, The Regular Hexagon, Addition and Subtraction of Lengths, Addition and Subtraction of Angles, Perpendicular Lines, Parallel Lines and Angles, Constructing Parallel Lines, Squares and Other Parallelograms, Division of a Line Segment into Several Parts, Thales' Theorem, Making Sense of Area, The Idea of a Tiling, Euclidean and Related Tilings, Islamic Tilings.
Author(s): Rich Cochrane and Andrew McGettigan
102Pages
This is an introductory note in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry.
Author(s): Prof. Marco Gualtieri
NAPages
This is the companion article to Teaching Geometry according to the Common Core Standards. Topics covered includes: Basic rigid motions and congruence, Dilation and similarity, The angle-angle criterion for similarity, The Pythagorean Theorem, The angle sum of a triangle, Volume formulas, basic rigid motions and assumptions, Congruence criteria for triangles, Typical theorems, Constructions with ruler and compass.
Author(s): Hung-Hsi Wu
202Pages
Purpose of this note is to provide an introduction to some aspects of hyperbolic geometry. Topics covered includes: Length and distance in hyperbolic geometry, Circles and lines, Mobius transformations, The Poincar´e disc model, The Gauss-Bonnet Theorem, Hyperbolic triangles, Fuchsian groups, Dirichlet polygons, Elliptic cycles, The signature of a Fuchsian group, Limit sets of Fuchsian groups, Classifying elementary Fuchsian groups, Non-elementary Fuchsian groups.
Author(s): Charles Walkden
247Pages
This note explains the following topics: Vectors, Cartesian Coordinates, The Scalar Product, Intersections of Planes and Systems of Linear Equations, Gaubian Elimination and Echelon Form, Vector Product, Matrices, Determinants, Linear Transformations, Eigenvectors and Eigenvalues.
Author(s): Dr J. N. Bray
NAPages
This book explains the following topics: Classical Geometry, Absolute (Neutral) Geometry, Betweenness and Order, Congruence, Continuity, Measurement, and Coordinates, Elementary Euclidean Geometry, Elementary Hyperbolic Geometry, Elementary Projective Geometry.
Author(s): Oleg A. Belyaev
256Pages
This book is part of the tredition classics series.This book was full of good information. It will help you get a better grasp on a challenging topic.
Author(s): Peter Ramus
NAPages
This is a geometry textbook that is being distributed freely on the Internet in separate segments (according to chapter). I united the Parents Guide, the Geometry Lessons, & the tests, and compiled them into a single pdf file
Author(s): Cibeles Jolivette Gonzalez
NAPages
This book covers the following topics: Coordinate Systems in the Plane, Plane Symmetries or Isometries, Lines, Polygons, Circles, Conics, Three-Dimensional Geometry.
Author(s): Silvio Levy
NAPages
This note covers the following topics: The Fundamental Form of a Surface, Normal Curvature, Gaussian Curvature and The Poincare Half-Plane.
Author(s): Jeff Knisley, Dept. of Math, East Tennessee State University
17Pages
This book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects.
Author(s): Silvio Levy
NAPages
This book is primarily an introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. Topics covered includes: Logic and Computation, Geometric Modeling, Geometric Methods and Applications, Discrete Mathematics, Topology and Surfaces.
Author(s): Jean Gallier
NAPages
This lecture note covers the following topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces, Non-linear solvers and intersection problems, Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees, Robustness of geometric computations, Interval methods, Finite and boundary element discretization methods for continuum mechanics problems, Scientific visualization, Variational geometry, Tolerances and Inspection methods.
Author(s): Prof. Nicholas Patrikalakis and Prof. Takashi Maekawa
NAPages
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Author(s): NA
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Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
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Currently this section contains no detailed description for the page, will update this page soon.
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