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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
142 Pages
Computational Geometry Lecture Notes
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
172 Pages
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
147 Pages
Teaching Geometry in Grade 8 and High School According to the Common Core Standards
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
202 Pages
Hyperbolic Geometry by Charles Walkden
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 PoincarŽe 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
247 Pages
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
NA Pages
Discovering Geometry Text Book With Parent's Guide and Tests
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
NA Pages
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
NA Pages
Intrinsic Geometry of Surfaces
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
17 Pages
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
NA Pages
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Riemann surfaces, dynamics and geometry Course Notes
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Author(s): NA
NA Pages
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Author(s): NA
NA PagesAdvertisement
