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.
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.
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.
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.
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.
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.
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.
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.
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.