Euclidean Geometry by Rich Cochrane and Andrew McGettigan
Euclidean Geometry by Rich Cochrane and Andrew McGettigan
Euclidean Geometry by Rich Cochrane and Andrew McGettigan
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 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 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 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.