User:Spencerhall01/Books/Euclidean Geometry
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Euclidean Geometry
[edit]An Overview
[edit]- 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