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Outline of geometry
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<h2 id="types-methodologies-and-terminologies-of-geometry">Types, methodologies, and terminologies of geometry.</h2> <ul><li><a href="/facts/Absolute_geometry/ABKfjdn2">Absolute geometry</a></li> <li><a href="/facts/Affine_geometry/yUGgTx2n">Affine geometry</a></li> <li><a href="/facts/Algebraic_geometry/rh7RHVp3">Algebraic geometry</a></li> <li><a href="/facts/Analytic_geometry/3qWP0kM0">Analytic geometry</a></li> <li><a href="/facts/Birational_geometry/hsWqRhJ1">Birational geometry</a></li> <li><a href="/facts/Complex_geometry/ekCsxAXb">Complex geometry</a></li> <li><a href="/facts/Computational_geometry/eeaotQtl">Computational geometry</a></li> <li><a href="/facts/Conformal_geometry/tuU181cE">Conformal geometry</a></li> <li><a href="/facts/Constructive_solid_geometry/Dcs2fzyU">Constructive solid geometry</a></li> <li><a href="/facts/Contact_geometry/r3IswjXw">Contact geometry</a></li> <li><a href="/facts/Convex_geometry/tT3JL47B">Convex geometry</a></li> <li><a href="/facts/Descriptive_geometry/YbHHQeTI">Descriptive geometry</a></li> <li><a href="/facts/Differential_geometry/c04XmyLu">Differential geometry</a></li> <li><a href="/facts/Digital_geometry/RCo6tvWQ">Digital geometry</a></li> <li><a href="/facts/Discrete_geometry/Ixnl3GBc">Discrete geometry</a></li> <li><a href="/facts/Distance_geometry/RYWhDzgo">Distance geometry</a></li> <li><a href="/facts/Elliptic_geometry/oMnFAoVb">Elliptic geometry</a></li> <li><a href="/facts/Enumerative_geometry/NSq0g3bY">Enumerative geometry</a></li> <li><a href="/facts/Epipolar_geometry/Gvop868C">Epipolar geometry</a></li> <li><a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometry</a></li> <li><a href="/facts/Finite_geometry/GL0nnEk8">Finite geometry</a></li> <li><a href="/facts/Fractal_geometry/sXj38JeN">Fractal geometry</a></li> <li><a href="/facts/Geometry_of_numbers/aoLAtg1J">Geometry of numbers</a></li> <li><a href="/facts/Hyperbolic_geometry/DjTMKdgy">Hyperbolic geometry</a></li> <li><a href="/facts/Incidence_geometry/F1yPfCGu">Incidence geometry</a></li> <li><a href="/facts/Information_geometry/sFBShVbT">Information geometry</a></li> <li><a href="/facts/Integral_geometry/s22CTBI1">Integral geometry</a></li> <li><a href="/facts/Inversive_geometry/VqFmbfDI">Inversive geometry</a></li> <li><a href="/facts/Inversive_ring_geometry/Vj6DKYXX">Inversive ring geometry</a></li> <li><a href="/facts/Klein_geometry/ocGw1QWY">Klein geometry</a></li> <li><a href="/facts/Lie_sphere_geometry/eVU6np2r">Lie sphere geometry</a></li> <li><a href="/facts/Non-Euclidean_geometry/efKa7De2">Non-Euclidean geometry</a></li> <li><a href="/facts/Noncommutative_algebraic_geometry/D03KU3Gp">Noncommutative algebraic geometry</a></li> <li><a href="/facts/Noncommutative_geometry/WSwggL1p">Noncommutative geometry</a></li> <li><a href="/facts/Ordered_geometry/WLusqm3B">Ordered geometry</a></li> <li><a href="/facts/Parabolic_geometry_(differential_geometry)/x1rhxLFX">Parabolic geometry</a></li> <li><a href="/facts/Euclidean_plane_geometry/V6cTcoCy">Plane geometry</a></li> <li><a href="/facts/Projective_geometry/rHKSaEbx">Projective geometry</a></li> <li><a href="/facts/Quantum_geometry/u2kx8MJY">Quantum geometry</a></li> <li><a href="/facts/Riemannian_geometry/pPEzjyQC">Riemannian geometry</a></li> <li><a href="/facts/Ruppeiner_geometry/8DFtsBEb">Ruppeiner geometry</a></li> <li><a href="/facts/Solid_geometry/tHH3JFoq">Solid geometry</a></li> <li><a href="/facts/Spherical_geometry/WGLQb1Ys">Spherical geometry</a></li> <li><a href="/facts/Symplectic_geometry/runXFCea">Symplectic geometry</a></li> <li><a href="/facts/Synthetic_geometry/IRL0B4K7">Synthetic geometry</a></li> <li><a href="/facts/Systolic_geometry/exKrWG9e">Systolic geometry</a></li> <li><a href="/facts/Taxicab_geometry/zU7gGUPv">Taxicab geometry</a></li> <li><a href="/facts/Toric_geometry/m1wEbNWw">Toric geometry</a></li> <li><a href="/facts/Transformation_geometry/fm0XUxv5">Transformation geometry</a></li> <li><a href="/facts/Tropical_geometry/fFy8Evgv">Tropical geometry</a></li></ul> <h2 id="general-geometry-concepts">General geometry concepts</h2> <h3>General concepts</h3> <ul><li><a href="/facts/Chirality_(mathematics)/FtKNlHTb">Chirality</a> <ul><li><a href="/facts/Handedness/wb7Urd7u">Handedness</a></li> <li><a href="/facts/Relative_direction/3PPJ5tRe">Relative direction</a></li> <li><a href="/facts/Mirror_image/xkbUhBzI">Mirror image</a></li></ul></li> <li><a href="/facts/Coordinate-free_treatment/cVuyeeAK">Coordinate-free treatment</a></li> <li><a href="/facts/Four-dimensional_space/vFQd0M7T">Four-dimensional space</a></li> <li><a href="/facts/Infinitesimal_transformation/XCN1WpGS">Infinitesimal transformation</a></li> <li><a href="/facts/Geometric_progression/SVrkRHDX">Geometric progression</a></li> <li><a href="/facts/Geometric_shape/nww0x85d">Geometric shape</a></li> <li><a href="/facts/Pi/vC0UBj1q">Pi</a></li> <li><a href="/facts/Angular_velocity/2n8JljAT">Angular velocity</a></li> <li><a href="/facts/Velocity/Q3o1LVDe">Linear velocity</a></li> <li><a href="/facts/De_Moivre%2527s_formula/uyG4k2uC">De Moivre's theorem</a></li> <li><a href="/facts/Similar_triangles/Sbd6hEAN">Similar triangles</a></li> <li><a href="/facts/Unit_circle/VsTffjPK">Unit circle</a></li> <li><a href="/facts/Point_(geometry)/6YPAvX2a">Point</a></li> <li><a href="/facts/Line_(mathematics)/gJqsr4Gj">Line</a> and <a href="/facts/Line_(mathematics)/gJqsr4Gj">Ray</a></li> <li><a href="/facts/Plane_(mathematics)/tAUtRFcn">Plane</a></li></ul> <h3>Measurements</h3> <ul><li><a href="/facts/Bearing_(navigation)/rE84IorW">Bearing</a></li> <li><a href="/facts/Angle/gFUTEQYq">Angle</a></li> <li><a href="/facts/Degree_(angle)/f48Ns8SX">Degree</a></li> <li><a href="/facts/Minute_of_arc/tybs6YGC">Minute</a></li> <li><a href="/facts/Radian/Srd38Sxa">Radian</a></li> <li><a href="/facts/Circumference/r1rntU0f">Circumference</a></li> <li><a href="/facts/Diameter/6uNn4VmU">Diameter</a></li></ul> <h3>Trigonometric functions</h3> <ul><li><a href="/facts/Trigonometric_function/czej7ur0">Trigonometric function</a> <ul><li><a href="/facts/Asymptotes/nvLPuxKa">Asymptotes</a></li> <li><a href="/facts/Circular_functions/czej7ur0">Circular functions</a></li> <li><a href="/facts/Periodic_functions/Sm8lJQsF">Periodic functions</a></li> <li><a href="/facts/Law_of_cosines/RRTGcW0V">Law of cosines</a></li> <li><a href="/facts/Law_of_sines/PXNDVjlN">Law of sines</a></li> <li><a href="/facts/Polar_sine/jQX6jaCV">Polar sine</a></li></ul></li></ul> <h3>Vectors</h3> <p class="note">Main article: <a href="/facts/Vector_(geometric)/bCLrdksy">Vector (geometric)</a></p> <ul><li><a href="/facts/Amplitude/aEckuXJM">Amplitude</a></li> <li><a href="/facts/Dot_product/tNz8MLjT">Dot product</a></li> <li><a href="/facts/Norm_(mathematics)/xIbR4uE1">Norm (mathematics)</a> (also known as magnitude)</li> <li><a href="/facts/Position_vector/Tpk5d9f2">Position vector</a></li> <li><a href="/facts/Scalar_multiplication/jroFDfbM">Scalar multiplication</a></li> <li><a href="/facts/Vector_addition/bCLrdksy">Vector addition</a></li> <li><a href="/facts/Zero_vector/PvH2qhxh">Zero vector</a></li></ul> <h3>Vector spaces and complex dimensions</h3> <ul><li><a href="/facts/Complex_plane/vE0QrxJp">Complex plane</a></li> <li><a href="/facts/Imaginary_axis/6Xh9W3hq">Imaginary axis</a></li> <li><a href="/facts/Linear_interpolation/galkvRGy">Linear interpolation</a></li> <li><a href="/facts/Bijection/ayC7YE3z">One-to-one</a></li> <li><a href="/facts/Orthogonal/JVIjYPog">Orthogonal</a></li> <li><a href="/facts/Polar_coordinate_system/HBko4YoN">Polar coordinate system</a></li> <li><a href="/facts/Pole_(complex_analysis)/gnA3U8VP">Pole</a></li> <li><a href="/facts/Real_axis/6eq42xX5">Real axis</a></li> <li><a href="/facts/Secant_line/gJnaF5g3">Secant line</a></li> <li><a href="/facts/Circular_sector/TqwCaEA5">Circular sector</a> or "sector"</li> <li><a href="/facts/Semiperimeter/8AqgmdqM">Semiperimeter</a></li></ul> <h3>Symmetry, shape and pattern</h3> <ul><li><a href="/facts/Symmetry/hpu7DK8p">Symmetry</a></li> <li><a href="/facts/Shape/NbaGtA8f">Shape</a></li> <li><a href="/facts/Pattern/mzD7uLQa">Pattern</a></li> <li><a href="/facts/Crystal_system/dMQLk1q4">Crystal system</a></li> <li><a href="/facts/Frieze_group/LVknTDnt">Frieze group</a></li> <li><a href="/facts/Isometry/K5wX8ah6">Isometry</a></li> <li><a href="/facts/Lattice_(group)/2ls9Iv9N">Lattice</a></li> <li><a href="/facts/Point_group/41NSqUN6">Point group</a></li> <li><a href="/facts/Point_groups_in_two_dimensions/TlvmRtd2">Point groups in two dimensions</a></li> <li><a href="/facts/Point_groups_in_three_dimensions/Uc4MRIyl">Point groups in three dimensions</a></li> <li><a href="/facts/Space_group/2XQx0J7M">Space group</a></li> <li><a href="/facts/Symmetry_group/CNqeseMp">Symmetry group</a></li> <li><a href="/facts/Translational_symmetry/PYVMaqWb">Translational symmetry</a></li> <li><a href="/facts/Wallpaper_group/egxEaC8q">Wallpaper group</a></li></ul> <h2 id="euclidean-geometry-foundations">Euclidean geometry foundations</h2> <p class="note">Main article: <a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometry</a></p> <ul><li><a href="/facts/Hilbert%2527s_axioms/JwdGVnQt">Hilbert's axioms</a></li> <li><a href="/facts/Locus_(mathematics)/t4swdGJq">Locus</a></li> <li><a href="/facts/Line_(mathematics)/gJqsr4Gj">Line</a></li> <li><a href="/facts/Line_segment/V8E0M4qk">Line segment</a></li> <li><a href="/facts/Parallel_(geometry)/16r5yq7D">Parallel</a></li> <li><a href="/facts/Angle/gFUTEQYq">Angle</a> <ul><li><a href="/facts/Concurrent_lines/zPT6S4w9">Concurrent lines</a></li> <li><a href="/facts/Adjacent_angles/gFUTEQYq">Adjacent angles</a></li> <li><a href="/facts/Central_angle/h00sYLNj">Central angle</a></li> <li><a href="/facts/Complementary_angles/gFUTEQYq">Complementary angles</a></li> <li><a href="/facts/Inscribed_angle/fTYeVKxt">Inscribed angle</a></li> <li><a href="/facts/Internal_angle/jd78Qkbt">Internal angle</a></li> <li><a href="/facts/Supplementary_angles/gFUTEQYq">Supplementary angles</a></li> <li><a href="/facts/Angle_trisection/zSf98g6b">Angle trisection</a></li></ul></li> <li><a href="/facts/Congruence_(geometry)/2tKJ6AhB">Congruence</a> <ul><li><a href="/facts/Reflection_(mathematics)/5JHWnrql">Reflection</a></li> <li><a href="/facts/Rotation_(mathematics)/6gtkkcy0">Rotation</a></li> <li><a href="/facts/Coordinate_rotations_and_reflections/a9HmKQAr">Coordinate rotations and reflections</a></li> <li><a href="/facts/Translation_(geometry)/KlpWmnfX">Translation</a></li> <li><a href="/facts/Glide_reflection/BfDylbEM">Glide reflection</a></li></ul></li> <li><a href="/facts/Similarity_(geometry)/Sbd6hEAN">Similarity</a> <ul><li><a href="/facts/Similarity_transformation_(geometry)/Sbd6hEAN">Similarity transformation</a></li> <li><a href="/facts/Homothetic_transformation/WUmuRuzC">Homothety</a></li></ul></li> <li><a href="/facts/Shear_mapping/HVCYblfU">Shear mapping</a></li></ul> <h3>Euclidean plane geometry</h3> <p class="note">Main article: <a href="/facts/Plane_geometry/V6cTcoCy">Plane geometry</a></p> <ul><li><a href="/facts/2D_computer_graphics/j6dBxDpX">2D computer graphics</a></li> <li><a href="/facts/2D_geometric_model/Azdx2M1y">2D geometric model</a></li> <li><a href="/facts/Altitude_(triangle)/z9H8fFMz">Altitude</a></li> <li><a href="/facts/Brahmagupta%2527s_formula/qweL7FlI">Brahmagupta's formula</a></li> <li><a href="/facts/Bretschneider%2527s_formula/0EPJIxyx">Bretschneider's formula</a></li> <li><a href="/facts/Compass_and_straightedge_constructions/lbaHf2m7">Compass and straightedge constructions</a> <ul><li><a href="/facts/Squaring_the_circle/BxFrDIPA">Squaring the circle</a></li></ul></li> <li><a href="/facts/Complex_geometry/ekCsxAXb">Complex geometry</a></li> <li><a href="/facts/Conic_section/teqgLptX">Conic section</a> <ul><li><a href="/facts/Focus_(geometry)/WFtFnqoa">Focus</a></li> <li><a href="/facts/Circle/9fy5ggKn">Circle</a> <ul><li><a href="/facts/List_of_circle_topics/2ll5kjaL">List of circle topics</a></li> <li><a href="/facts/Thales%2527_theorem/wI6hpFFk">Thales' theorem</a></li> <li><a href="/facts/Circumcircle/RafYT4am">Circumcircle</a></li> <li><a href="/facts/Concyclic/YepHfbYr">Concyclic</a></li> <li><a href="/facts/Incircle_and_excircles_of_a_triangle/x9QCn9ML">Incircle and excircles of a triangle</a></li> <li><a href="/facts/Orthocentric_system/Ty1m339k">Orthocentric system</a></li> <li><a href="/facts/Monge%2527s_theorem/sSB3tYRE">Monge's theorem</a></li> <li><a href="/facts/Power_center_(geometry)/9l6GAff1">Power center</a></li> <li><a href="/facts/Nine-point_circle/0UfSxFX9">Nine-point circle</a></li> <li><a href="/facts/Circle_points_segments_proof/GNa0WtpL">Circle points segments proof</a></li> <li><a href="/facts/Mrs._Miniver%2527s_problem/fIKvRENw">Mrs. Miniver's problem</a></li> <li><a href="/facts/Isoperimetric_theorem/u02PG11C">Isoperimetric theorem</a></li> <li><a href="/facts/Annulus_(mathematics)/rhxKuoem">Annulus</a></li> <li><a href="/facts/Ptolemaios%2527_theorem/sGT3qbh5">Ptolemaios' theorem</a></li> <li><a href="/facts/Steiner_chain/sT5CJ2aD">Steiner chain</a></li></ul></li> <li><a href="/facts/Eccentricity_(mathematics)/SzgpW5R7">Eccentricity</a></li> <li><a href="/facts/Ellipse/1wUDnGxY">Ellipse</a> <ul><li><a href="/facts/Semi-major_axis/l7JES2wo">Semi-major axis</a></li></ul></li> <li><a href="/facts/Hyperbola/6R6ER0mY">Hyperbola</a></li> <li><a href="/facts/Parabola/Cweo3wgw">Parabola</a></li> <li><a href="/facts/Matrix_representation_of_conic_sections/1e5RxEon">Matrix representation of conic sections</a></li> <li><a href="/facts/Dandelin_spheres/fE2XYh1T">Dandelin spheres</a></li></ul></li> <li><a href="/facts/Curve_of_constant_width/NvYjbtxf">Curve of constant width</a> <ul><li><a href="/facts/Reuleaux_triangle/4HaDTlnR">Reuleaux triangle</a></li></ul></li> <li><a href="/facts/Frieze_group/LVknTDnt">Frieze group</a></li> <li><a href="/facts/Golden_angle/5HGPvRQC">Golden angle</a></li> <li><a href="/facts/Holditch%2527s_theorem/x9TKB2YB">Holditch's theorem</a></li> <li><a href="/facts/Interactive_geometry_software/QJgHTbyd">Interactive geometry software</a></li> <li><a href="/facts/Involute/Ql8vqIHr">Involutes</a> <ul><li><a href="/facts/Goat_grazing_problem/ufIkvx1w">Goat grazing problem</a></li></ul></li> <li><a href="/facts/Parallel_postulate/xhSxUX4u">Parallel postulate</a></li> <li><a href="/facts/Polygon/xvkmYhvG">Polygon</a> <ul><li><a href="/facts/Star_polygon/mDfuIe81">Star polygon</a></li> <li><a href="/facts/Pick%2527s_theorem/rvk9rFDG">Pick's theorem</a></li> <li><a href="/facts/Shape_dissection/lslQIYpS">Shape dissection</a></li> <li><a href="/facts/Bolyai%25E2%2580%2593Gerwien_theorem/QbGcuvmS">Bolyai–Gerwien theorem</a></li> <li><a href="/facts/Poncelet%25E2%2580%2593Steiner_theorem/jXgSWyYC">Poncelet–Steiner theorem</a></li> <li><a href="/facts/Polygon_triangulation/FF0205ye">Polygon triangulation</a></li></ul></li> <li><a href="/facts/Pons_asinorum/YWTT1Rcd">Pons asinorum</a></li> <li><a href="/facts/Quadrilateral/QCGqrkp2">Quadrilateral</a> <ul><li><a href="/facts/Bicentric_quadrilateral/k5BWD6Bm">Bicentric quadrilateral</a></li> <li><a href="/facts/Cyclic_quadrilateral/FNwQ0cda">Cyclic quadrilateral</a></li> <li><a href="/facts/Equidiagonal_quadrilateral/hcWuzEtB">Equidiagonal quadrilateral</a></li> <li><a href="/facts/Kite_(geometry)/PRcvPntl">Kite (geometry)</a></li> <li><a href="/facts/Orthodiagonal_quadrilateral/R6M3E372">Orthodiagonal quadrilateral</a> <ul><li><a href="/facts/Rhombus/T4pU50GF">Rhombus</a></li></ul></li> <li><a href="/facts/Rectangle/mdLfIGKA">Rectangle</a> <ul><li><a href="/facts/Square/JHJeMvmL">Square</a></li></ul></li> <li><a href="/facts/Tangential_quadrilateral/JBdfotIx">Tangential quadrilateral</a></li> <li><a href="/facts/Trapezoid/nCBKsauz">Trapezoid</a> <ul><li><a href="/facts/Isosceles_trapezoid/Izn5AA4p">Isosceles trapezoid</a></li></ul></li></ul></li> <li><a href="/facts/Sangaku/FtNz8lLz">Sangaku</a></li> <li><a href="/facts/Straightedge/6o9Xp9Eb">Straightedge</a></li> <li><a href="/facts/Symmedian/CVeo0k45">Symmedian</a></li> <li><a href="/facts/Tessellation/7BWDywXC">Tessellation</a> <ul><li><a href="/facts/Prototile/zh5RBHy5">Prototile</a></li> <li><a href="/facts/Aperiodic_tiling/WFJMWDg4">Aperiodic tiling</a> <ul><li><a href="/facts/Wang_tile/639AJElj">Wang tile</a></li> <li><a href="/facts/Penrose_tiling/usLcMvNN">Penrose tiling</a></li></ul></li></ul></li> <li><a href="/facts/Trapezoid/nCBKsauz">Trapezoid</a> (trapezium) <ul><li><a href="/facts/Isosceles_trapezoid/Izn5AA4p">Isosceles trapezoid</a></li></ul></li> <li><a href="/facts/Triangle/cRXUwsMn">Triangle</a> <ul><li><a href="/facts/Acute_and_obtuse_triangles/YrYTg0Ao">Acute and obtuse triangles</a></li> <li><a href="/facts/Equilateral_triangle/MJomsYDS">Equilateral triangle</a></li> <li><a href="/facts/Euler%2527s_line/SKtpSWpb">Euler's line</a></li> <li><a href="/facts/Heron%2527s_formula/XIJGhhu4">Heron's formula</a></li> <li><a href="/facts/Integer_triangle/t6tep0sf">Integer triangle</a> <ul><li><a href="/facts/Heronian_triangle/eIoeH31n">Heronian triangle</a></li></ul></li> <li><a href="/facts/Isosceles_triangle/rvLe3yqK">Isosceles triangle</a></li> <li><a href="/facts/List_of_triangle_inequalities/JHvL14F0">List of triangle inequalities</a></li> <li><a href="/facts/List_of_triangle_topics/09HL0IlH">List of triangle topics</a></li> <li><a href="/facts/Pedal_triangle/3HdgxWVD">Pedal triangle</a></li> <li><a href="/facts/Pedoe%2527s_inequality/LgaPREXl">Pedoe's inequality</a></li> <li><a href="/facts/Pythagorean_theorem/Lh6x2Kr5">Pythagorean theorem</a></li> <li><a href="/facts/Pythagorean_triangle/I3IJgWhf">Pythagorean triangle</a></li> <li><a href="/facts/Right_triangle/dD6M9GAn">Right triangle</a></li> <li><a href="/facts/Triangle_inequality/KubLjkwr">Triangle inequality</a></li></ul></li> <li><a href="/facts/Trigonometry/K4hfaC6F">Trigonometry</a> <ul><li><a href="/facts/List_of_trigonometry_topics/A79JesGS">List of trigonometry topics</a></li></ul></li> <li><a href="/facts/Wallpaper_group/egxEaC8q">Wallpaper group</a></li></ul> <h3>3-dimensional Euclidean geometry</h3> <p class="note">Main article: <a href="/facts/Solid_geometry/tHH3JFoq">Solid geometry</a></p> <ul><li><a href="/facts/3D_projection/FATfGH2W">3D projection</a></li> <li><a href="/facts/3D_computer_graphics/zlWW6eaF">3D computer graphics</a> <ul><li><a href="/facts/Binary_space_partitioning/sn9MhTSB">Binary space partitioning</a></li> <li><a href="/facts/Ray_tracing_(graphics)/n6qpap2q">Ray tracing</a></li> <li><a href="/facts/Graham_scan/WmFuJzEg">Graham scan</a></li></ul></li> <li><a href="/facts/Borromean_rings/C16wTE0j">Borromean rings</a></li> <li><a href="/facts/Cavalieri%2527s_principle/CRSyxWzD">Cavalieri's principle</a></li> <li><a href="/facts/Cross_section_(geometry)/g5R1c6v2">Cross section</a></li> <li><a href="/facts/Crystal/e2R2mk3E">Crystal</a></li> <li><a href="/facts/Cuisenaire_rods/Tu5Jz6h0">Cuisenaire rods</a></li> <li><a href="/facts/Desargues%2527_theorem/vJzx0uPh">Desargues' theorem</a></li> <li><a href="/facts/Right_circular_cone/2c9GIzYD">Right circular cone</a></li> <li><a href="/facts/Hyperboloid/K5mDV2Nw">Hyperboloid</a></li> <li><a href="/facts/Napkin_ring_problem/H6zx1VaC">Napkin ring problem</a></li> <li><a href="/facts/Pappus%2527s_centroid_theorem/w1NI6jtS">Pappus's centroid theorem</a></li> <li><a href="/facts/Paraboloid/AUdRV2QH">Paraboloid</a></li> <li><a href="/facts/Polyhedron/UC0p9FTF">Polyhedron</a> <ul><li><a href="/facts/Defect_(geometry)/FMHKeUVS">Defect</a></li> <li><a href="/facts/Dihedral_angle/C9WEJsuS">Dihedral angle</a></li> <li><a href="/facts/Prism_(geometry)/baIRRkCy">Prism</a></li> <li><a href="/facts/Prismatoid/lPBxnDeG">Prismatoid</a></li> <li><a href="/facts/Honeycomb_(geometry)/seyRBcel">Honeycomb</a></li> <li><a href="/facts/Pyramid_(geometry)/fCXRgFwu">Pyramid</a></li> <li><a href="/facts/Parallelepiped/Qn7cDgSr">Parallelepiped</a></li> <li><a href="/facts/Tetrahedron/7mkSrl6j">Tetrahedron</a> <ul><li><a href="/facts/Heronian_tetrahedron/STXAT6c2">Heronian tetrahedron</a></li></ul></li> <li><a href="/facts/Platonic_solid/jraREXFD">Platonic solid</a></li> <li><a href="/facts/Archimedean_solid/wYWeHDYT">Archimedean solid</a></li> <li><a href="/facts/Kepler-Poinsot_polyhedra/mzUUgBYS">Kepler-Poinsot polyhedra</a></li> <li><a href="/facts/Johnson_solid/8SR7CyNz">Johnson solid</a></li> <li><a href="/facts/Uniform_polyhedron/PHnprqRC">Uniform polyhedron</a></li> <li><a href="/facts/Polyhedral_compound/L13pItNN">Polyhedral compound</a></li> <li><a href="/facts/Hilbert%2527s_third_problem/UcS6SWVR">Hilbert's third problem</a></li> <li><a href="/facts/Deltahedron/qDjkasx9">Deltahedron</a></li> <li><a href="/facts/Surface_normal/jhtLIhcu">Surface normal</a></li></ul></li> <li><a href="/facts/3-sphere/u67nImpY">3-sphere</a>, <a href="/facts/Spheroid/GJyyLxQ7">spheroid</a>, <a href="/facts/Ellipsoid/pe9vm0Sh">ellipsoid</a> <ul><li><a href="/facts/Parabolic_microphone/MKtzQKAF">Parabolic microphone</a></li> <li><a href="/facts/Parabolic_reflector/uTkv4pJF">Parabolic reflector</a></li></ul></li> <li><a href="/facts/Soddy%2527s_hexlet/HX94Md6W">Soddy's hexlet</a></li> <li><a href="/facts/Sphericon/C2uhkCoL">Sphericon</a></li> <li><a href="/facts/Stereographic_projection/oVyMrWqR">Stereographic projection</a></li> <li><a href="/facts/Stereometry/tHH3JFoq">Stereometry</a></li></ul> <h3><i>n</i>-dimensional Euclidean geometry</h3> <ul><li><a href="/facts/Ball_(mathematics)/f9vpMVMp">Ball</a></li> <li>Convex <ul><li><a href="/facts/Convex_hull/D4Id3JDS">Convex hull</a></li></ul></li> <li><a href="/facts/Coxeter_group/bgzHFm1Q">Coxeter group</a></li> <li><a href="/facts/Euclidean_distance/9qDoQKQe">Euclidean distance</a></li> <li><a href="/facts/Homothetic_center/yyU7NcTl">Homothetic center</a></li> <li><a href="/facts/Hyperplane/2s2ycYYd">Hyperplane</a></li> <li><a href="/facts/Lattice_(group)/2ls9Iv9N">Lattice</a> <ul><li><a href="/facts/Ehrhart_polynomial/WjuUYzrT">Ehrhart polynomial</a></li> <li><a href="/facts/Leech_lattice/LVM1TV0f">Leech lattice</a></li> <li><a href="/facts/Minkowski%2527s_theorem/G2A8J5k6">Minkowski's theorem</a></li></ul></li> <li><a href="/facts/Packing_problems/nQtnMb6Y">Packing</a> <ul><li><a href="/facts/Sphere_packing/NY2FKyMf">Sphere packing</a> <ul><li><a href="/facts/Kepler_conjecture/5cFNDqwA">Kepler conjecture</a></li> <li><a href="/facts/Kissing_number_problem/UE3mtV0d">Kissing number problem</a></li></ul></li> <li><a href="/facts/Honeycomb_(geometry)/seyRBcel">Honeycomb</a> <ul><li><a href="/facts/Andreini_tessellation/78IkTl7A">Andreini tessellation</a></li> <li><a href="/facts/Uniform_tiling/QVK02ksI">Uniform tessellation</a></li> <li><a href="/facts/Voronoi_tessellation/AhQY5LD8">Voronoi tessellation</a></li> <li><a href="/facts/Delaunay_triangulation/6VRk7cS9">Delaunay triangulation</a></li> <li><a href="/facts/Quasicrystal/evHcQeCp">Quasicrystal</a></li></ul></li></ul></li> <li><a href="/facts/Parallelogram_law/JI1LwPxd">Parallelogram law</a></li> <li><a href="/facts/Polytope/a76nXrL0">Polytope</a> <ul><li><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></li> <li><a href="/facts/Regular_polytope/RYTnEF6Q">Regular polytope</a></li> <li><i><a href="/facts/Regular_Polytopes_(book)/jomuRNha">Regular Polytopes</a></i></li></ul></li> <li><a href="/facts/Sphere/4Ivb1cTj">Sphere</a></li> <li><a href="/facts/Quadric/L3cTApd4">Quadric</a> <ul><li><a href="/facts/Hypersphere/bFu2S7E2">Hypersphere</a>, <a href="/facts/Sphere/4Ivb1cTj">sphere</a></li> <li><a href="/facts/Spheroid/GJyyLxQ7">Spheroid</a></li> <li><a href="/facts/Ellipsoid/pe9vm0Sh">Ellipsoid</a></li> <li><a href="/facts/Hyperboloid/K5mDV2Nw">Hyperboloid</a></li> <li><a href="/facts/Paraboloid/AUdRV2QH">Paraboloid</a></li> <li><a href="/facts/Cone_(geometry)/2c9GIzYD">Cone</a></li></ul></li> <li><a href="/facts/Torus/J9SkaV1W">Torus</a></li> <li><a href="/facts/Root_system/TFaEdwMU">Root system</a></li> <li><a href="/facts/Similarity_(geometry)/Sbd6hEAN">Similarity</a></li> <li><a href="/facts/Zonotope/w16kH9H3">Zonotope</a></li></ul> <h2 id="other-geometries-not-euclidean">Other geometries (not Euclidean)</h2> <p class="note">Main article: <a href="/facts/Non-Euclidean_Geometry/efKa7De2">Non-Euclidean Geometry</a></p> <ul><li><a href="/facts/Projective_geometry/rHKSaEbx">Projective geometry</a> <ul><li><a href="/facts/Arc_(projective_geometry)/2yvR6hVe">Arc (projective geometry)</a></li> <li><a href="/facts/Desargues%2527_theorem/vJzx0uPh">Desargues' theorem</a></li> <li><a href="/facts/Girard_Desargues/YVSn4mmn">Girard Desargues</a></li> <li><a href="/facts/Desarguesian_plane/p6ot8oNv">Desarguesian plane</a></li> <li><a href="/facts/Line_at_infinity/RFnjNo29">Line at infinity</a></li> <li><a href="/facts/Point_at_infinity/GAuS0wHQ">Point at infinity</a></li> <li><a href="/facts/Plane_at_infinity/78428NN5">Plane at infinity</a></li> <li><a href="/facts/Hyperplane_at_infinity/QCU0dgGR">Hyperplane at infinity</a></li> <li><a href="/facts/Projective_line/PhRgf87G">Projective line</a></li> <li><a href="/facts/Projective_plane/p6ot8oNv">Projective plane</a> <ul><li><a href="/facts/Oval_(projective_plane)/U8pkWs3k">Oval (projective plane)</a></li> <li><a href="/facts/Roman_surface/b3eaKoTb">Roman surface</a></li></ul></li> <li><a href="/facts/Projective_space/7MSpA9cM">Projective space</a></li> <li><a href="/facts/Complex_projective_line/4XgBzplC">Complex projective line</a></li> <li><a href="/facts/Complex_projective_plane/5WFpDyeV">Complex projective plane</a></li> <li><a href="/facts/Fundamental_theorem_of_projective_geometry/wCkNzUjd">Fundamental theorem of projective geometry</a></li> <li><a href="/facts/Projective_transformation/wCkNzUjd">Projective transformation</a> <ul><li><a href="/facts/M%25C3%25B6bius_transformation/YEkTTLfK">Möbius transformation</a></li></ul></li> <li><a href="/facts/Cross-ratio/tj4DK3Vk">Cross-ratio</a></li> <li><a href="/facts/Duality_(projective_geometry)/dxrjhRbB">Duality</a></li> <li><a href="/facts/Homogeneous_coordinates/TG9ebKN4">Homogeneous coordinates</a></li> <li><a href="/facts/Pappus%2527s_hexagon_theorem/t0Hb33dG">Pappus's hexagon theorem</a></li> <li><a href="/facts/Incidence_(geometry)/dlzk9bUl">Incidence</a></li> <li><a href="/facts/Pascal%2527s_theorem/61dfnDXG">Pascal's theorem</a></li></ul></li> <li><a href="/facts/Affine_geometry/yUGgTx2n">Affine geometry</a> <ul><li><a href="/facts/Affine_space/tlvI3oX1">Affine space</a></li> <li><a href="/facts/Affine_transformation/BD7yDr10">Affine transformation</a></li></ul></li> <li><a href="/facts/Finite_geometry/GL0nnEk8">Finite geometry</a></li> <li><a href="/facts/Differential_geometry/c04XmyLu">Differential geometry</a> <ul><li><a href="/facts/Contact_geometry/r3IswjXw">Contact geometry</a></li> <li><a href="/facts/Riemannian_geometry/pPEzjyQC">Riemannian geometry</a></li> <li><a href="/facts/Symplectic_geometry/runXFCea">Symplectic geometry</a></li></ul></li> <li><a href="/facts/Non-Euclidean_geometry/efKa7De2">Non-Euclidean plane geometry</a></li> <li><a href="/facts/Angle_excess/3G3Fhk2h">Angle excess</a></li> <li><a href="/facts/Hyperbolic_geometry/DjTMKdgy">Hyperbolic geometry</a> <ul><li><a href="/facts/Pseudosphere/KPSkPdKB">Pseudosphere</a></li> <li><a href="/facts/Tractricoid/KPSkPdKB">Tractricoid</a></li></ul></li> <li><a href="/facts/Elliptic_geometry/oMnFAoVb">Elliptic geometry</a> <ul><li><a href="/facts/Spherical_geometry/WGLQb1Ys">Spherical geometry</a></li></ul></li> <li><a href="/facts/Minkowski_space/vDkfkQJn">Minkowski space</a></li> <li><a href="/facts/Thurston%2527s_conjecture/FDpqIM7y">Thurston's conjecture</a></li></ul> <h2 id="numerical-geometry">Numerical geometry</h2> <ul><li><a href="/facts/Parametric_curve/5Uvrlgqf">Parametric curve</a> <ul><li><a href="/facts/B%25C3%25A9zier_curve/zJx3Uj60">Bézier curve</a></li> <li><a href="/facts/Spline_(mathematics)/yafkQtqp">Spline</a> <ul><li><a href="/facts/Hermite_spline/L8UWpNT5">Hermite spline</a> <ul><li><a href="/facts/B-spline/MLTCWCEd">B-spline</a></li></ul></li> <li><a href="/facts/NURBS/MA0NjmeC">NURBS</a></li></ul></li></ul></li> <li><a href="/facts/Parametric_surface/GjtIdq1q">Parametric surface</a></li></ul> <h2 id="geometric-algorithms">Geometric algorithms</h2> <ul><li><a href="/facts/Convex_hull/D4Id3JDS">Convex hull</a> construction</li> <li><a href="/facts/Euclidean_shortest_path/eAKJgenE">Euclidean shortest path</a></li> <li><a href="/facts/Point_in_polygon/acr2LQ1n">Point in polygon</a></li> <li><a href="/facts/Point_location/FshYoWzn">Point location</a></li> <li><a href="/facts/Hidden_line_removal/oflyG52x">Hidden line removal</a></li></ul> <h2 id="history-of-geometry">History of geometry</h2> <p><a href="/facts/History_of_geometry/2eShd8kg">History of geometry</a> </p> <ul><li><a href="/facts/Timeline_of_geometry/MHqY2tLY">Timeline of geometry</a></li> <li><a href="/facts/Babylonian_geometry/9lN3d6ML">Babylonian geometry</a></li> <li><a href="/facts/Egyptian_geometry/JptMqG72">Egyptian geometry</a></li> <li>Ancient Greek geometry <ul><li><a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometry</a> <ul><li><a href="/facts/Pythagorean_theorem/Lh6x2Kr5">Pythagorean theorem</a></li> <li><a href="/facts/Euclid%2527s_Elements/nPKvCIxs">Euclid's <i>Elements</i></a></li> <li><i><a href="/facts/Measurement_of_a_Circle/YJaUXMUI">Measurement of a Circle</a></i></li></ul></li></ul></li> <li><a href="/facts/Indian_mathematics/l9f6ke00">Indian mathematics</a> <ul><li><a href="/facts/Bakhshali_manuscript/5Xb27h7v">Bakhshali manuscript</a></li></ul></li> <li>Modern geometry <ul><li><a href="/facts/History_of_analytic_geometry/3qWP0kM0">History of analytic geometry</a> <ul><li><a href="/facts/History_of_the_Cartesian_coordinate_system/lkTqvMmB">History of the Cartesian coordinate system</a></li></ul></li> <li><a href="/facts/History_of_non-Euclidean_geometry/efKa7De2">History of non-Euclidean geometry</a></li> <li><a href="/facts/History_of_topology/2EqW47cU">History of topology</a></li> <li><a href="/facts/History_of_algebraic_geometry/rh7RHVp3">History of algebraic geometry</a></li> <li><a href="/facts/Erlangen_program/HAVoCLHG">Erlangen program</a></li></ul></li></ul> <ul><li></li></ul> <h2 id="generalizations">Generalizations</h2> <ul><li><a href="/facts/Noncommutative_geometry/WSwggL1p">Noncommutative geometry</a></li> <li><a href="/facts/Topology/2EqW47cU">Topology</a></li></ul> <h2 id="geometric-algorithms">Geometric algorithms</h2> <ul><li><a href="/facts/Convex_hull/D4Id3JDS">Convex hull</a> construction</li> <li><a href="/facts/Euclidean_shortest_path/eAKJgenE">Euclidean shortest path</a></li> <li><a href="/facts/Point_in_polygon/acr2LQ1n">Point in polygon</a></li> <li><a href="/facts/Point_location/FshYoWzn">Point location</a></li> <li><a href="/facts/Hidden_line_removal/oflyG52x">Hidden line removal</a></li></ul> <h2 id="connections-to-other-fields">Connections to other fields</h2> <ul><li><a href="/facts/Mathematics_and_fiber_arts/rY3PTpQ4">Mathematics and fiber arts</a></li> <li><a href="/facts/Van_Hiele_model/lvY0vPqq">Van Hiele model</a> - Prevailing theory of how children learn to reason in geometry</li> <li><a href="/facts/Astronomy/0ArJVM1p">Astronomy</a></li> <li><a href="/facts/Computer_graphics/lapBE8wv">Computer graphics</a></li> <li><a href="/facts/Image_analysis/woLB8cX7">Image analysis</a></li> <li><a href="/facts/Robot_control/LPsy79Rx">Robot control</a></li> <li>The <a href="/facts/Str%25C3%25A4hle_construction/d7egBLjK">Strähle construction</a> is used in the design of some musical instruments.</li> <li><a href="/facts/Burmester%2527s_theory/amTBMT3X">Burmester's theory</a> for the design of mechanical linkages</li></ul> <h2 id="lists">Lists</h2> <ul><li><a href="/facts/List_of_mathematical_shapes/cpXPlmKY">List of mathematical shapes</a></li> <li><a href="/facts/List_of_geometers/lg9o1Pjo">List of geometers</a></li> <li><a href="/facts/List_of_curves/rTz5JHat">List of curves</a></li> <li><a href="/facts/List_of_curves_topics/J9FKRxV9">List of curves topics</a></li> <li><a href="/facts/List_of_trigonometric_identities/Xw9Jx8Vz">List of trigonometric identities</a></li></ul> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/List_of_basic_mathematics_topics/bzYALmb2">List of basic mathematics topics</a></li> <li><a href="/facts/List_of_mathematics_articles/oM8Wyf1R">List of mathematics articles</a></li> <li><a href="/facts/Table_of_mathematical_symbols/rQkbGGna">Table of mathematical symbols</a></li></ul> <h2 id="further-reading">Further reading</h2> <ul><li>Rich, Barnett (2009). <i>Schaum's Outline of Geometry</i> (4th ed.). New York: McGraw-Hill. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 978-0-07-154412-2.</li></ul> <h2 id="external-links">External links</h2>