Geometry

Geometry#




Sections#




Figures#

  • [ w ] 0287-0212 BCE Archimedes of Syracuse

    • [ w ] 250 BCE Measurement of a Circle Κύκλου μέτρησις

  • [ w ] 1783-1864 Brianchon, Charles Julien

  • [ w ] 1845-1922 Brocard, Henri

  • [ w ] 1647-1734 Ceva, Giovanni

  • [ w ] 1842-1906 De Longchamps, Gaston Albert Gohierre

  • [ w ] 0300 BCE Euclid

    • [ w ] Elements

  • [ w ] 0408-0355 BCE Eudoxus of Cnidus

  • [ w ] 1884-1954 Gossard, Harry Clinton

  • [ w ] 1861-1940 Heath, T. L.

  • [ w ] 1846-1934 Kiepert, Ludvig

  • [ w ] 1942----- Kimberling, Clark

  • [ w ] 1840-1912 Lemoine, Émile

  • [ w ] 1860-1937 Morley, Frank

  • [ w ] 0290-0350 Pappus of Alexandria

  • [ w ] 1748-1819 Playfair, John

  • [ w ] 0570-0495 BCE Pythagoras of Samos

  • [ w ] 1831-1907 Routh, Edward

  • [ w ] 1896-1986 Schiffler, Kurt

  • [ w ] 1796-1863 Steiner, Jakob

  • [ w ] 1803-1882 Von Nagel, Christian Heinrich




Terms#

  • [ w ] Biangular Coordinates

  • [ w ] Bipolar Coordinates

  • [ w ] Bipolar Coordinates, Two-Center

  • [ w ] Elliptic Coordinates

  • [ w ] Polar Coordinates

  • [ w ] Spherical Coordinates

  • [ w ] Two-Center Bipolar Coordinates

  • [ w ] 3D Projection

  • [ w ] Acute Triangle

  • [ w ] Altitude

  • [ w ] Angle

  • [ w ] Angle, Central

  • [ w ] Angle, External

  • [ w ] Angle, Hyperbolic

  • [ w ] Angle, Inscribed

  • [ w ] Angle, Internal

  • [ w ] Angle, Right

  • [ w ] Angle, Subtended

  • [ w ] Angle Bisector Theorem

  • [ w ] Angle Trisection

  • [ w ] Anharmonic Ratio (Cross-Ratio, Double Ratio)

  • [ w ] Antiparallelogram

  • [ w ] Antiprism

  • [ w ] Antiprism, Pentagonal

  • [ w ] Apeirogon

  • [ w ] Apeirogon, Skew

  • [ w ] Apex

  • [ w ] Apoapsis

  • [ w ] Apollonian Circle

  • [ w ] Apollonius’ Problem

  • [ w ] Apothem

  • [ w ] Apsis

  • [ w ] Arc, Circular

  • [ w ] Arc Length

  • [ w ] Archimedean Solid

  • [ w ] Area

  • [ w ] Axial Symmetry

  • [ w ] Axiality

  • [ w ] Axis of Perspectivity

  • [ w ] Ball

  • [ w ] Base

  • [ w ] Bipyramid (Dipyramid, Double Pyramid)

  • [ w ] Bipyramid, Pentagonal

  • [ w ] Bisection

  • [ w ] Brianchon’s Theorem

  • [ w ] Brocard Circle

  • [ w ] Brocard Point

  • [ w ] Brocard Triangle

  • [ w ] Catalan Solid

  • [ w ] Cathetus

  • [ w ] Center

  • [ w ] Center, Homothetic

  • [ w ] Center, Morley

  • [ w ] Center, Nine-Point

  • [ w ] Center, Power

  • [ w ] Center, Spieker

  • [ w ] Center, Triangle

  • [ w ] Center of Perspectivity

  • [ w ] Center of Similitude (Homothetic Center)

  • [ w ] Central Angle

  • [ w ] Central Line

  • [ w ] Centroid

  • [ w ] Ceva’s Theorem

  • [ w ] Cevian

  • [ w ] Chiral Polytope

  • [ w ] Chirality

  • [ w ] Chord

  • [ w ] Circle

  • [ w ] Circle, Apollonian

  • [ w ] Circle, Brocard

  • [ w ] Circle, Circumscribed

  • [ w ] Circle, Escribed

  • [ w ] Circle, Inscribed

  • [ w ] Circle, Nine-Point

  • [ w ] Circle, Spieker

  • [ w ] Circular Arc

  • [ w ] Circular Segment

  • [ w ] Circular Triangle

  • [ w ] Circumcenter

  • [ w ] Circumconic

  • [ w ] Circumference

  • [ w ] Circumradius

  • [ w ] Circumscribed Circle

  • [ w ] Circumscribed Polygon (Tangential Polygon)

  • [ w ] Circumscribed Sphere

  • [ w ] Cleaver

  • [ w ] Collinearity

  • [ w ] Compass

  • [ w ] Compass Equivalence Theorem

  • [ w ] Complex Line

  • [ w ] Complex Plane

  • [ w ] Cone

  • [ w ] Concentricity

  • [ w ] Concurrent Line

  • [ w ] Concyclic Point

  • [ w ] Congruence

  • [ w ] Conic, Kiepert

  • [ w ] Conic, Steiner

  • [ w ] Constructible Polygon

  • [ w ] Convex Hull

  • [ w ] Convex Polygon

  • [ w ] Conway Polyhedron Notation

  • [ w ] Coordinate Space, Real

  • [ w ] Coordinates, Trilinear

  • [ w ] Coplanarity

  • [ w ] Cross-Ratio (Anharmonic Ratio, Double Ratio)

  • [ w ] Cube

  • [ w ] Cubic Honeycomb

  • [ w ] Cuboid

  • [ w ] Cuboid, Rectangular

  • [ w ] Curve

  • [ w ] Curve, Intersection

  • [ w ] Curve, Inverse

  • [ w ] Curve, Parallel

  • [ w ] Curvilinear Perspective

  • [ w ] Cylinder

  • [ w ] Cylinder, Right Circular

  • [ w ] De Longchamps Point

  • [ w ] Deltahedron

  • [ w ] Diagonal

  • [ w ] Diameter

  • [ w ] Dihedron

  • [ w ] Dipyramid (Bipyramid, Double Pyramid)

  • [ w ] Directrix

  • [ w ] Discrete Geometry

  • [ w ] Disk

  • [ w ] Disk Segment

  • [ w ] distance from a point to a line

  • [ w ] Dodecahedron, Rhombic

  • [ w ] Double Pyramid (Bipyramid, Dipyramid)

  • [ w ] Double Ratio (Anharmonic Ratio, Cross-Ratio)

  • [ w ] doubling the cube

  • [ w ] Dual Polyhedron

  • [ w ] Edge

  • [ w ] Edge-Transitivity (Isotoxality)

  • [ w ] Ellipse

  • [ w ] Ellipse, Steiner

  • [ w ] Elongated Square Gyrobicopula

  • [ w ] Equiangular Polygon

  • [ w ] Equidistance

  • [ w ] Equilateral Polygon

  • [ w ] Equilateral Triangle

  • [ w ] Escribed Circle (Excircle)

  • [ w ] Euclidean Geometry

  • [ w ] Euler Line

  • [ [w](https://en.wikipedia.org/wiki/Euler% 27s_theorem_in_geometry)] Euler’s Theorem, in geometry

  • [ w ] Excircle (Escribed Circle)

  • [ w ] Exeter Point

  • [ w ] External Angle

  • [ w ] Extouch Triangle

  • [ w ] Face

  • [ w ] Faceting

  • [ w ] Frustum

  • [ w ] Galois Geometry

  • [ w ] Generatrix

  • [ w ] Geodesic

  • [ w ] Geometry

  • [ w ] Geometry, Computational

  • [ w ] Geometry, Descriptive

  • [ w ] Geometry, Differential

  • [ w ] Geometry, Diophantine

  • [ w ] Geometry, Discrete

  • [ w ] Geometry, Euclidean

  • [ w ] Geometry, Galois

  • [ w ] Geometry, history

  • [ w ] Geometry, Hyperbolic

  • [ w ] Geometry, Incidence

  • [ w ] Geometry, Inversive

  • [ w ] Geometry, Modern Triangle

  • [ w ] Geometry, Non Euclidean

  • [ w ] Geometry, Projective

  • [ w ] Geometry, Riemannian

  • [ w ] Geometry, Solid

  • [ w ] Geometry, Spherical

  • [ w ] Geometry, Symplectic

  • [ w ] Geometry, Synthetic

  • [ w ] Glissette

  • [ w ] Gossard Perspector

  • [ w ] Grebe Point (Lemoine Point, Symmedian Point)

  • [ w ] Half-Space

  • [ w ] Homothetic Center (Center of Similitude)

  • [ w ] Hosohedron

  • [ w ] Hyperbola

  • [ w ] Hyperbolic Angle

  • [ w ] Hyperbolic Motion

  • [ w ] Hyperplane

  • [ w ] Hyperplane, Supporting

  • [ w ] Hypersphere (\(n\)-Sphere)

  • [ w ] Hypersurface

  • [ w ] Hypotenuse

  • [ w ] Icosahedron

  • [ w ] Incenter

  • [ w ] Incidence Geometry

  • [ w ] Incircle (Inscribed Circle)

  • [ w ] Inconic

  • [ w ] Inellipse

  • [ w ] Inellipse, Mandart

  • [ w ] Inellipse, Steiner

  • [ w ] Internal Angle

  • [ w ] Inscribed Angle

  • [ w ] Inscribed Circle (Incircle)

  • [ w ] Intersection

  • [ w ] Intersection Curve

  • [ w ] Inverse Curve

  • [ w ] Inversive Geometry

  • [ w ] Isogonality (Vertex-Transitivity)

  • [ w ] Isotoxality (Edge-Transitivity)

  • [ w ] Isosceles Triangle

  • [ w ] Johnson Solid

  • [ w ] Kiepert Conic

  • [ w ] Lemoine Point (Grebe Point, Symmedian Point)

  • [ w ] Lemoine’s Problem

  • [ w ] Lens

  • [ w ] Line

  • [ w ] Line, Central

  • [ w ] Line, Complex

  • [ w ] Line, Concurrent

  • [ w ] Line, Euler

  • [ w ] Line, Simson

  • [ w ] Line, Skew

  • [ w ] Line, Supporting

  • [ w ] Line Element

  • [ w ] Line of Apsides

  • [ w ] Line Segment

  • [ w ] Locus

  • [ w ] Lune of Hippocrates

  • [ w ] Mandart Inellipse

  • [ w ] Medial Triangle (Midpoint Triangle)

  • [ w ] Median

  • [ w ] Midpoint

  • [ w ] Midpoint Triangle (Medial Triangle)

  • [ w ] Mittenpunkt

  • [ w ] Modern Triangle Geometry

  • [ w ] Morley Center

  • [ w ] Moreley’s Trisector Theorem

  • [ w ] Myriagon

  • [ w ] \(n\)-Sphere (Hypersphere)

  • [ w ] Nagel Point

  • [ w ] Neusis

  • [ w ] Nine-Point Center

  • [ w ] Nine-Point Circle

  • [ w ] Non Euclidean Geometry

  • [ w ] Normal

  • [ w ] Obtuse Triangle

  • [ w ] Orthocenter

  • [ w ] Orthocentric System

  • [ w ] Orthogonality

  • [ w ] Oval

  • [ w ] Pappus’ Hexagon Theorem

  • [ w ] Parabola

  • [ w ] Parallel Curve

  • [ w ] Parallel Line, distance

  • [ w ] Parallel Postulate

  • [ w ] Parallelepiped

  • [ w ] Parallelism

  • [ w ] Parallelogon

  • [ w ] Parallelogram

  • [ w ] Parallelohedron

  • [ w ] Pencil

  • [ w ] Pentagonal Antiprism

  • [ w ] Pentagonal Bipyramid

  • [ w ] Periapsis

  • [ w ] Perimeter

  • [ w ] Perspective

  • [ w ] Perspective, Curvilinear

  • [ w ] Perspectivity

  • [ w ] Petersen-Morley Theorem

  • [ w ] Plane

  • [ w ] Plane, Complex

  • [ w ] Playfair’s Axiom

  • [ w ] Point

  • [ w ] Point, Brocard

  • [ w ] Point, Concyclic

  • [ w ] Point, De Longchamps

  • [ w ] Point, Exeter

  • [ w ] Point, Grebe (Lemoine, Symmedian)

  • [ w ] Point, Lemoine (Grebe, Symmedian)

  • [ w ] Point, Nagel

  • [ w ] Point, Schiffler

  • [ w ] Point, Steiner

  • [ w ] Point, Symmedian (Grebe, Lemoine)

  • [ w ] Point, Trisected Perimeter

  • [ w ] Point Reflection

  • [ w ] Polarity, Trilinear

  • [ w ] Polygon

  • [ w ] Polygon, Circumscribed (Tangential)

  • [ w ] Polygon, Constructible

  • [ w ] Polygon, Convex

  • [ w ] Polygon, Equiangular

  • [ w ] Polygon, Equilateral

  • [ w ] Polygon, Regular

  • [ w ] Polygon, Simple

  • [ w ] Polygon, Skew

  • [ w ] Polygon, Star

  • [ w ] Polygon, Tangential (Circumscribed)

  • [ w ] Polygonal Chain

  • [ w ] Polyhedron

  • [ w ] Polyhedron, Dual

  • [ w ] Polyhedron, Quasiregular

  • [ w ] Polyhedron, Semiregular

  • [ w ] Polyhedron, Snub

  • [ w ] Polyhedron, Spherical

  • [ w ] Polytope

  • [ w ] Polytope, Chiral

  • [ w ] Polytope, Regular

  • [ w ] Pons Asinorum

  • [ w ] Power Center

  • [ w ] Prism

  • [ w ] Prismatoid

  • [ w ] Product, Triple

  • [ w ] Projection, 3D

  • [ w ] Pyramid

  • [ w ] Pyramid, Double (Bipyramid, Dipyramid)

  • [ w ] Pythagorean Theorem

  • [ w ] Quadrilateral

  • [ w ] Quasiregular Polyhedron

  • [ w ] Radial Symmetry (Rotational Symmetry)

  • [ w ] Radian

  • [ w ] Radius

  • [ w ] Ratio, Anharmonic (Cross, Double)

  • [ w ] Ratio, Cross (Anharmonic, Double)

  • [ w ] Ratio, Double (Anharmonic, Cross)

  • [ w ] Real Coordinate Space

  • [ w ] Rectangle

  • [ w ] Rectangular, Cuboid

  • [ w ] Reflection

  • [ w ] Reflection Symmetry

  • [ w ] Reflection, Point

  • [ w ] Regular Polygon

  • [ w ] Regular Polytope

  • [ w ] Rhombic Dodecahedron

  • [ w ] Rhombohedron

  • [ w ] Riemann Sphere

  • [ w ] Right Angle

  • [ w ] Right Circular Cylinder

  • [ w ] Right Triangle

  • [ w ] Right Triangle, Special

  • [ w ] Rotational Symmetry (Radial Symmetry)

  • [ w ] Routh’s Theorem

  • [ w ] Ruler-and-Compass Construction

  • [ w ] Sagitta

  • [ w ] Scalene Triangle

  • [ w ] Scaling

  • [ w ] Schiffler Point

  • [ w ] Secant

  • [ w ] Segment, Circular (Disk)

  • [ w ] Segment, Disk (Circular)

  • [ w ] Segment, Line

  • [ w ] Segment, Spherical

  • [ w ] Semicircle

  • [ w ] Semiperimeter

  • [ w ] Semiregular Polyhedron

  • [ w ] Similarity

  • [ w ] Simple Polygon

  • [ w ] Simson Line

  • [ w ] Skew Apeirogon

  • [ w ] Skew Line

  • [ w ] Skew Polygon

  • [ w ] Snub Polyhedron

  • [ w ] Solid, Archimedean

  • [ w ] Solid, Catalan

  • [ w ] Solid, Johnson

  • [ w ] Solid Geometry

  • [ w ] Space, Real Coordinate

  • [ w ] Special Right Triangle

  • [ w ] Sphere

  • [ w ] Sphere, Circumscribed

  • [ w ] Sphere, Riemann

  • [ w ] Spherical Cap

  • [ w ] Spherical Polyhedron

  • [ w ] Spherical Segment

  • [ w ] Spieker Center

  • [ w ] Spieker Circle

  • [ w ] Spiral

  • [ w ] Spirolateral

  • [ w ] Splitter

  • [ w ] squaring the circle

  • [ w ] Star Polygon

  • [ w ] Steiner Conic

  • [ w ] Steiner Ellipse

  • [ w ] Steiner Inellipse

  • [ w ] Steiner Point

  • [ w ] Stellation

  • [ w ] Straightedge

  • [ w ] Subtended Angle

  • [ w ] Supporting Hyperplane

  • [ w ] Supporting Line

  • [ w ] Surface

  • [ w ] Symmedian

  • [ w ] Symmedian Point (Grebe Point, Lemoine Point)

  • [ w ] Symmetry, Axial

  • [ w ] Symmetry, Radial (Rotational)

  • [ w ] Symmetry, Reflection

  • [ w ] Symmetry, Rotational (Radial)

  • [ w ] Symmetry, Translational

  • [ w ] Tangent

  • [ w ] Tangential Polygon (Circumscribed Polygon)

  • [ w ] Tangential Triangle

  • [ w ] Tessellation

  • [ w ] Tetrakis Hexahedron

  • [ w ] Thales’ Theorem

  • [ w ] Tomahawk

  • [ w ] Translational Symmetry

  • [ w ] Trapezohedron

  • [ w ] Trapezohedron, Trigonal

  • [ w ] Trapezoid

  • [ w ] Triangle

  • [ w ] Triangle, Acute

  • [ w ] Triangle, Brocard

  • [ w ] Triangle, Circular

  • [ w ] Triangle, Equilateral

  • [ w ] Triangle, Extouch

  • [ w ] Triangle, Isosceles

  • [ w ] Triangle, Medial (Midpoint)

  • [ w ] Triangle, Midpoint (Medial)

  • [ w ] Triangle, Obtuse

  • [ w ] Triangle, Right

  • [ w ] Triangle, Scalene

  • [ w ] Triangle, Special Right

  • [ w ] Triangle, Tangential

  • [ w ] Triangle Center

  • [ w ] Triangle Inequalities

  • [ w ] Trigonal Trapezohedron

  • [ w ] Trilinear Coordinates

  • [ w ] Trilinear Polarity

  • [ w ] Triple Product

  • [ w ] Trisected Perimeter Point

  • [ w ] Trisection, Angle

  • [ w ] Unital

  • [ w ] Upper Bound Theorem

  • [ w ] Vesica Piscis

  • [ w ] Vertex

  • [ w ] Vertex-Transitivity (Isogonality)

  • [ w ] Viviani’s Theorem

  • [ w ] Volume

  • [ w ] Zonogon

  • [ w ] Zonohedron




[W] Polygon

  • [W] Trigon (Triangle)

    • [W] Acute Triangle

    • [W] Equilateral Triangle

    • [W] Isosceles Triangle

      • [W] Golden Triangle

    • [W] Obtuse Triangle

    • [W] Right Triangle

      • [W] Special Right Triangle

    • [W] Scalene Triangle

  • [W] Tetragon (Quadrilateral)

    • [W] Parallelogram

      • [W] Rhomboid

      • [W] Rectangle

      • [W] Square

      • [W] Rhombus

      • [W] Trapezoid

  • [W] Pentagon

  • [W] Hexagon

  • [W] Heptagon

  • [W] Octagon

  • [W] Nonagon

  • [W] Decagon

  • [W] Hendecagon

  • [W] Dodecagon

  • [W] Apeirogon

[W] Equilateral Polygon

  • [W] Equilateral Pentagon

  • [W] Equilateral Triangle

[W] Star Polygon

  • [W] Pentagram

  • [W] Hexagram

  • [W] Heptagram

  • [W] Octagram

  • [W] Nonagram

  • [W] Decagram

  • [W] Hendecagram

  • [W] Dodecagram

[W] Solid Geometry

  • [W] Ball

  • [W] Cone

  • [W] Cylinder

    • [W] Right Circular Cylinder

  • [W] Polyhedron

    • [W] Cuboid

      • Cube (Square Cuboid)

      • Rectangular Cuboid

    • [W] Pyramid

      • [W] Square Pyramid

[W] Quadric Surface

  • [W] Ellipsoid

    • [W] Ellipsoid of Revolution (Spheroid)

      • Oblate Spheroid

      • Prolate Spheroid

    • [W] Sphere

  • [W] Paraboloid

  • [W] Hyperboloid

    • One-Sheet Hyperboloid (Hyperbolic Hyperboloid)

    • Two-Sheet Hyperboloid (Elliptic Hyperboloid)

[W] Superquadrics

[W] Platonic Solid

  • [W] Cube (Square Cuboid)

  • [W] Octahedron

  • [W] Regular Dodecahedron

  • [W] Regular Icosahedron

  • [W] Tetrahedron (Triangular Pyramid)

[W] Archimedean Solid

  • [W] Cuboctahedron

  • [W] Icosidodecahedron

  • [W] Rhombicosidodecahedron

  • [W] Rhombicuboctahedron

  • [W] Snub Cube

  • [W] Snub Dodecahedron

  • [W] Truncated Cube

  • [W] Truncated Cuboctahedron

  • [W] Truncated Dodecahedron

  • [W] Truncated Icosahedron

  • [W] Truncated Icosidodecahedron

  • [W] Truncated Octahedron

  • [W] Truncated Tetrahedron

[W] Catalan Solid

  • [W] Rhombic Triacontahedron

nd

  • [W] Apeirotope

  • [W] Hyperplane

  • [W] Hypersurface

  • [W] Polytope

  • [W] Simplex