# List of geometry topics

• Geometric shape covers standard terms for plane shapes
• List of mathematical shapes covers all dimensions
• List of differential geometry topics
• List of geometers

## Euclidean geometry, foundations

• Hilbert's axioms
• Point
• Locus
• Line
• Parallel
• Angle
• Concurrent lines
• Central angle
• Complementary angles
• Inscribed angle
• Internal angle
• Supplementary angles
• Angle trisection
• Congruence
• Similarity
• Shear mapping

### Euclidean plane geometry

• 2D computer graphics
• 2D geometric model
• Altitude
• Brahmagupta's formula
• Compass and straightedge constructions
• Squaring the circle
• Complex geometry
• Conic section
• Focus
• Circle
• List of circle topics
• Thales' theorem
• Circumcircle
• Concyclic
• Incircle and excircles of a triangle
• Orthocentric system
• Monge's theorem
• Power Center
• Nine-point circle
• Circle points segments proof
• Mrs. Miniver's problem
• Isoperimetric theorem
• Annulus
• Ptolemaios' theorem
• Steiner chain
• Eccentricity
• Ellipse
• Hyperbola
• Parabola
• Matrix representation of conic sections
• Dandelin spheres
• Curve of constant width
• Euler's line
• Equilateral triangle
• Frieze group
• Golden angle
• Heron's formula
• Heronian triangle
• Holditch's theorem
• Interactive geometry software
• Pappus's theorem
• Parallel postulate
• Pedal triangle
• Polygon
• Pons asinorum
• Pythagorean triangle
• Sangaku
• Straightedge
• Symmedian
• Tessellation
• Prototile
• Aperiodic tiling
• Wang tile
• Penrose tiling
• Trapezoid, trapezium
• Isosceles trapezoid
• Triangle
• Trigonometry
• List of trigonometry topics
• Wallpaper group

## Various

• Coordinate-free treatment
• Chirality
• Handedness
• Left and right
• Mirror image
• Erlangen program
• Four dimensions
• Group action, invariant
• Infinitesimal transformation
• List of terms based on the word cube
• Pi
• Polar sine
• Symmetry, shape, pattern
• Crystal system
• Frieze group
• Isometry
• Lattice
• Point group
• Point groups in two dimensions
• Point groups in three dimensions
• Space group
• Symmetry group
• Translational symmetry
• Wallpaper group
• Mathematics and fiber arts

## Applications

• Astronomy
• Computer graphics
• Image analysis
• Robot control
• The Strähle construction is used in the design of some musical instruments.