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مستخدم:Chaos/Geometry

من ويكيبيديا، الموسوعة الحرة

فهرس

[تحرير] Generally composed of straight line segments

  • polygon
    • bicentric polygon
    • concave polygon
    • constructible polygon
    • convex polygon
    • cyclic polygon
    • decagon
    • dodecagon
    • enneagon
    • equiangular polygon
    • equilateral polygon
    • hendecagon
    • heptagon
    • hexagon
      • Lemoine hexagon
      • Tucker hexagon
    • icosagon
      • swastika
    • octagon
    • pentagon
      • cyclic pentagon
    • regular polygon
      • regular decagon
      • regular dodecagon
      • regular hendecagon
      • regular hexagon
      • regular icosagon
      • regular octagon
      • regular pentagon
    • star figure
      • star of Lakshmi
    • star polygon
      • decagram
      • dodecagram
      • octagram
      • heptagram
      • star of David, hexagram
      • star of Goliath, nonagram
      • pentacle, pentagram
  • triangle
    • acute triangle
    • anticomplementary triangle
    • equilateral triangle
    • excentral triangle, tritangent triangle
    • isosceles triangle
    • medial triangle, auxiliary triangle
    • obtuse triangle
    • rational triangle
    • right triangle
      • 30-60-90 triangle
      • isosceles right triangle
    • scalene triangle
    • Reuleaux triangle
  • parallelogram
    • equilateral parallelogram: rhombus
      • Lozenge
    • rhomboid
    • Wittenbauer's parallelogram
  • Penrose tile
    • Penrose dart
    • Penrose kite
  • rectangle
  • rhombus, diamond
    • Harborth's tile
  • square
  • trapezium
    • isosceles trapezium
  • quadrilateral
    • cyclic quadrilateral, tetrachord, chordal tetragon ?
      • Brahmagupta's trapezium
    • equilic quadrilateral
    • kite
    • rational quadrilateral
    • strombus
    • tangential quadrilateral, tangential tetragon ?
    • trapezoid
      • isosceles trapezoid
  • polydrafter

[تحرير] Curved

  • annulus
  • arbelos
  • bulb
  • circle
    • disc
    • Archimedes' circle
    • Bankoff circle
    • circumcircle
    • excircle
    • incircle
    • nine-point circle
  • circular sector
  • circular segment
  • crescent
  • lune
  • Reuleaux polygon
  • rotor
    • lens, fish bladder, vesica piscis
    • Reuleaux triangle
  • sphere
  • salinon
  • semicircle
  • triquetra
  • Yin-Yang

[تحرير] Not composed of circular arcs

  • Archimedean spiral
  • astroid, paracycle, cubocycloid
  • deltoid
  • ellipse
  • smoothed octagon
  • super ellipse
  • tomahawk


[تحرير] Classical curves

  • Ampersand curve
  • Astroid
  • Atriphtaloid
  • Bean curve
  • Bicorn
  • Bicuspid
  • Bow curve
  • Bowditch curve
  • Brachistochrone
  • Bullet-nose curve
  • Butterfly curve
  • Cardioid
  • Cassinoide
  • Catenary
  • Cissoid of Diocles
  • Clélies
  • Cochleoid
  • Conchoid of de Sluze
  • Conic sections
    • Circle
    • Ellipse
    • Parabola
    • Hyperbola
  • Cruciform curve
  • Curve of pursuit
  • Cycloid
  • Deltoid (curve)
  • Ear curve
  • Epicycloid
  • Epitrochoid
  • Folium of Descartes
  • Hypocycloid
  • Hessian curve
  • Hippopede
  • Horopter
  • Isochrone
    • Isochrone of Huygens (Tautochrone)
    • Isochrone of Leibniz[1]
    • Isochrone of Varignon[2]
  • Kampyle
  • Kappa curve
  • Lamé curve
  • Lemniscate
    • Lemniscate of Bernoulli
    • Lemniscate of Gerono
    • Lemniscate of Booth
  • Limaçon
  • line
  • Lissajous curve
  • Nephroid
  • Pedal curve
  • Quadrifolium
  • Quintic of l'Hospital [3]
  • Rose curve
  • Roulette curve
  • Sail curve
  • Serpentine curve
  • Sextic
  • Spirals [4]
    • Archimedean spiral [5]
    • Cornu spiral [6] or Clothoid [7]
    • Conchospiral [8]
    • Cotes' spiral [9]
    • Daisy spiral [10]
    • Epispiral [11]
    • Fermat's spiral [12]
    • Galileo's spiral [13]
    • Helix
    • Hyperbolic spiral [14]
    • Lituus [15]
    • Logarithmic spiral [16]
    • Nielsen's spiral [17]
    • Phyllotaxis [18]
    • Poinsot's spiral [19]
    • Prime spiral [20]
    • Rational spiral [21]
    • Seiffert's spiral [22]
    • Sici spiral [23]
    • Sinusoidal spiral [24]
    • Slinky spiral [25]
    • Whirl spiral [26]
  • Strophoid
  • Superellipse
  • Syntractrix
  • Tractrix
  • Tricuspid
  • Trident curve
  • Trifolium
  • Trisectrix of Maclaurin
  • Trochoid
  • Vivian's curve
  • Watt's curve
  • Witch of Agnesi

[تحرير] Constructions

  • Blancmange curve
  • Dragon curve
  • Koch curve
  • Lévy C curve

[تحرير] Curves of mathematical analysis

  • Jordan curve, simple closed curve
    • Jordan curve theorem
  • Closed curve
  • Rectifiable curve
  • space-filling curve, also known as the Peano curve
  • Sierpinski curve

[تحرير] Piecewise constructions

  • Bezier curve
  • Splines
    • B-spline
    • Nonuniform rational B-spline
  • Ogee
  • Loess curve
  • Lowess
  • Reuleaux triangle

[تحرير] Algebraic curves

See also Riemann surface

  • Projective line
  • Cubic curve
  • Elliptic curve
  • Hyperelliptic curve
  • Modular curve
  • Fermat curve
  • Klein's quartic curve
  • Plane curve, Space curve
  • Modular curve

[تحرير] Named graphs

Economics

  • Backward bending supply curve of labour
  • Contract curve
  • Cost curve
  • Demand curve
    • Compensated demand curve
  • Engel curve
  • Indifference curve
  • Laffer curve
  • Lorenz curve
  • Phillips curve
  • J-curve effect {Things go downhill(worse) before they start climbing(improving) again}

Other

  • Asteroid light curve
  • Bathtub curve
  • Bell curve
  • Calibration curve
  • Cardiac function curve
  • Dose-response curve
  • Fletcher-Munson curve
  • Forgetting curve
  • Growth curve
  • Hubbert curve
  • Kruithof curve
  • Learning curve
  • Light curve
  • Logistic curve
  • Oxyhemoglobin dissociation curve
  • Paschen curve
  • Rotation curve
  • Species-area curve
  • Stress-strain curve

[تحرير] Minimal surfaces

  • Costa surface
  • catenoid
  • Riemann's surface
  • saddle tower
  • gyroid
  • Catalan surface
  • Enneper surface

[تحرير] Non-orientable surfaces

  • Klein bottle
  • Real projective plane
    • cross-cap
    • Roman surface
    • Boy's surface

[تحرير] Quadrics

  • Sphere
  • Spheroid
    • Oblate
  • Ellipsoid
  • Hyperboloid of one sheet
  • Hyperboloid of two sheets
  • hyperbolic paraboloid (a ruled surface)
  • Paraboloid

[تحرير] Pseudospherical surfaces

  • Dini surface
  • Pseudosphere

[تحرير] Algebraic surfaces

See the list of algebraic surfaces.

  • Cayley cubic
  • Barth sextic
  • Clebsch cubic

[تحرير] Miscellaneous surfaces

  • right conoid (a Ruled surface)
  • cyclide (inversion of a torus)
  • Torus
  • Whitney umbrella
  • Monkey saddle (saddle-like surface for n legs, where n is 3 here.)


[تحرير] Curve Topics

  • acnode
  • arc
  • asymptote
  • asymptotic curve
  • Barbier's theorem
  • barycentric[27]
  • Bézier curve
  • Bezout's theorem
  • Birch and Swinnerton-Dyer conjecture
  • caustic
  • Cesàro equation
  • chord (geometry)
  • circumference
  • cissoid
  • closed timelike curve
  • concavity
  • conchoid
  • confocal
  • contact (mathematics)
  • contour line
  • crunode
  • cubic Hermite curve
  • curvature
  • curve fitting
    • curve-fitting compaction
  • curve of constant width
  • curve of pursuit
  • curves in differential geometry
  • cusp
  • De Boor algorithm
  • differential geometry of curves
  • eccentricity
  • elliptic curve cryptography
  • envelope
  • evolute
  • genus (mathematics)
  • geodesic
  • glissette
  • great-circle distance
  • harmonograph
  • hedgehog
  • Hilbert's sixteenth problem
  • hyperelliptic curve cryptography
  • inflection point
  • intercept, y-intercept, x-intercept
  • intersection number
  • involute
  • isoperimetric inequality
  • isoptic
  • knot
  • limit-cycle
  • list of circle topics
  • loop (knot)
  • M-curve
  • Mannheim curve[28]
  • meander (mathematics)
  • Mordell conjecture
  • natural representation
  • opisometer
  • orbital elements
  • orthoptic
  • orthotomic
  • osculating circle
  • osculating plane
  • parallel
  • parallel transport
  • Parametric curve
    • Bézier curve
    • Spline
      • Hermite spline
        • Beta spline
          • B-spline
      • Higher-order spline
      • NURBS
  • pedal curve
  • perimeter
  • pi
  • prime geodesic
  • projective line
  • ray
  • regular parametric representation
  • Reuleaux triangle
  • rhumb line
  • Ribaucour curve[29][30]
  • Riemann-Hurwitz formula
  • Riemann-Roch theorem
  • Riemann surface
  • roulette
  • secant
  • singular solution
  • slope
  • spinode
  • square wheel
  • subtangent
  • tacnode
  • tangent
  • tangent space
  • torsion (differential geometry)
  • trajectory
  • transcendental curve
  • Whewell equation
  • world line

[تحرير] Circle Topics

[تحرير] Geometry

  • Apollonian gasket
  • Arbelos
  • Bertrand's paradox (probability)
  • Borromean rings
  • Buffon's needle
  • Butterfly theorem
  • Central angle
  • Circle
  • Circle group
  • Circumference
  • Circumscribed circle — Circumcircle
  • Concyclic
  • Descartes' theorem
  • Diameter
  • Dividing a circle into areas
  • Ford circle
  • Great circle
    • Great-circle distance
    • Small circle
  • Hadamard three-circle theorem
  • Hardy-Littlewood circle method
  • Incircle and excircles of a triangle
  • Inscribed angle
  • Inscribed circle
  • Inversive geometry
  • Isoperimetric problem
  • List of topics related to pi
  • Malfatti circles
  • Mrs. Miniver's problem
  • Nine-point circle
  • Osculating circle
  • π (pi)
  • Ptolemaios' theorem
  • Radius
    • Radius of convergence
    • Radius of curvature
  • Ruler-and-compass construction
    • Mohr-Mascheroni theorem
    • Poncelet-Steiner theorem
  • Semicircle
  • Squaring the circle
  • Tarski's circle-squaring problem
  • Unit circle
  • Villarceau circles
  • Wigner semicircle distribution

[تحرير] Geography

  • Arctic circle
  • Antarctic circle
  • Circle of latitude
  • Equator
  • Great circle
    • Great-circle distance
    • Small circle
  • Position circle

[تحرير] Artifacts

  • Compass (drafting)
  • Crop circle
  • Dip circle
  • Timber circle
  • Traffic circle
  • Stone circle
  • Wheel

[تحرير] Glyphs and symbols

  • Borromean rings
  • Circle with a point at its center
  • Circles in Polish mythology
  • Crescent
  • Flower of Life
  • Magic circle (Wicca)
  • Ouroboros
  • Quatrefoil
  • Ring (diacritic)
  • Sacred Chao
  • Shield of the Trinity
  • Squared-circle postmark
  • Sun cross
  • Symbol of Tanit
  • Trefoil
  • Triquetra
  • Urantia symbols
  • Vesica piscis
  • Triple Goddess symbol
  • Yin-yang

[تحرير] See also

  • Ring (a disambiguation page)

[[تصنيف:هندسة رياضية|*]] [[تصنيف:قوائم رياضية|هندسة رياضية]]

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