The book is addressed to high
school students, teachers of mathematics, mathematical clubs, and college
students.The collection consists of two parts. It is based on three Russian
editions of Prasolov’s books on plane geometry. Topics covered includes: Similar
Triangles, Inscribed Angles, Circles, Area, Polygons, Loci, Constructions,
Geometric Inequalities, Inequalities Between The Elements Of A Triangle,
Calculations And Metric Relations, Vectors, The Symmetry Through A Line,
Homothety and Rotational Homothety, Convex and Nonconvex Polygons, Divisibility,
Invariants, Colorings.
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
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 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 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.
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.
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.
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.
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 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