User:Spencerhall01/Books/Euclidean Geometry


Euclidean Geometry

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An Overview

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Introduction
Euclidean geometry
Synthetic geometry
Planimetrics
Solid geometry
Shape
Geometric shape
Euclidean space
Euclidean distance
Lists of shapes
List of two-dimensional geometric shapes
Glossary of shapes with metaphorical names
List of geometry topics
History
History of geometry
Timeline of geometry
History of measurement
List of geometers
Timeline of Ancient Greek mathematicians
Chronology of ancient Greek mathematicians
Foundations
Foundations of geometry
Euclid's Elements
Parallel postulate
Hilbert's axioms
Tarski's axioms
Birkhoff's axioms
Compass-and-Straightedge Constructions
Compass-and-straightedge construction
Compass (drawing tool)
Straightedge
Ruler
Protractor
Bisection
Angle trisection
Compass equivalence theorem
Mohr–Mascheroni theorem
Poncelet–Steiner theorem
Points, Lines, and Planes
Point (geometry)
Locus (mathematics)
Line (geometry)
Collinearity
Intersection
Intersection (Euclidean geometry)
Line–line intersection
Concurrent lines
Perpendicular
Parallel (geometry)
Equidistant
Skew lines
Line segment
Segment addition postulate
Midpoint
Line segment intersection
Plane (geometry)
Coplanarity
Line–plane intersection
Angles
Angle
Vertex (geometry)
Right angle
Transversal (geometry)
Dihedral angle
Solid angle
Triangles
Triangle
Sum of angles of a triangle
Exterior angle theorem
Triangle inequality
Triangle center
Median (geometry)
Centroid
Plumb bob
Altitude (triangle)
Apollonius' theorem
Equilateral triangle
Isosceles triangle
Pons asinorum
Acute and obtuse triangles
Right triangle
Hypotenuse
Pythagorean theorem
Special right triangle
Pythagorean triple
List of triangle topics
Quadrilaterals
Polygons
Corresponding sides and corresponding angles
Internal and external angles
List of polygons, polyhedra and polytopes
List of regular polytopes and compounds
Constructible polygon
Circles
List of circle topics
Similarity and Congruence
Similarity (geometry)
Congruence (geometry)
Hatch mark
Transformations
Geometric transformation
Orientation (geometry)
Isometry
Euclidean plane isometry
Translation (geometry)
Reflection (mathematics)
Rotation (mathematics)
Plane of rotation
Glide reflection
Scaling (geometry)
Point reflection
Tessellation
Symmetry
Symmetry
Translational symmetry
Axial symmetry
Rotational symmetry
Circular symmetry
Heron's formula