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In this blog, we will summarize the latex code for Curves and Shapes, Geometry Math Formulas. Topics include Distance Between Two Points 2D, Distance Between Two Points 3D, Eccentricity of a Hyperbola, Eccentricity of an Ellipse, Circle, Hyperbola, Hyperbolic Paraboloid, Parabola, Plane, Sphere, Ellipse, Ellipsoid, Elliptic Cone, Elliptic Cylinder, Elliptic Paraboloid, Spiral of Archimedes, etc.

• Curves and Shapes
• Distance Between Two Points 2D
• Distance Between Two Points 3D
• Eccentricity of a Hyperbola
• Eccentricity of an Ellipse
• Circle
• Hyperbola
• Hyperbolic Paraboloid
• Parabola
• Plane
• Sphere
• Ellipse
• Ellipsoid
• Elliptic Cone
• Elliptic Cylinder
• Elliptic Paraboloid
• Spiral of Archimedes

Curves and Shapes

• Distance Between Two Points 2D

  Math,Geometry

  Equation

  
  
  

  Latex Code

              d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }
          

  Explanation

  Latex code for Distance Between Two Points 2D.

  • : Distance
  • : Point 1
  • : Point 2
  
  

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• Distance Between Two Points 3D

  Math,Geometry

  Equation

  
  
  

  Latex Code

              d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 + \left( {z_1 - z_2 } \right)^2 }
          

  Explanation

  Latex code for Distance Between Two Points 3D.

  • : Distance
  • : Point 1
  • : Point 2
  • : Point 3
  
  

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• Eccentricity of a Hyperbola

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \varepsilon = \frac{{\sqrt {a^2 + b^2 } }}{a}
          

  Explanation

  Latex code for Eccentricity of a Hyperbola.

  • : Eccentricity
  
  

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• Eccentricity of an Ellipse

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \varepsilon = \frac{{\sqrt {a^2 - b^2 } }}{a}
          

  Explanation

  Latex code for Eccentricity of an Ellipse.

  • : Eccentricity
  
  

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• Circle

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \left( {x - x_0 } \right)^2 + \left( {y - y_0 } \right)^2 = R^2
          

  Explanation

  Latex code for Circle

  • : Coordinates of Circle Center
  • : Radius
  
  

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• Hyperbola

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} - \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = 1
          

  Explanation

  Latex code for Hyperbola.

  • : Length a
  • : Length b
  • : Center Point
  
  

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• Hyperbolic Paraboloid

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} - \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = \frac{{\left( {z - z_0 } \right)}}{c}
          

  Explanation

  Latex code for Hyperbola.

  • : Length a
  • : Length b
  • : Center Point
  
  

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• Parabola

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \left( {y - y_0 } \right)^2 = 4a\left( {x - x_0 } \right)
          

  Explanation

  Latex code for Parabola.

  
  

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• Plane

  Math,Geometry

  Equation

  
  
  

  Latex Code

              Ax + By + Cz + D = 0
          

  Explanation

  Latex code for Parabola.

  • : Coefficient of x
  • : Coefficient of y
  • : Coefficient of z
  • : Bias
  
  

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• Sphere

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \left( {x - x_0 } \right)^2 + \left( {y - y_0 } \right)^2 + \left( {z - z_0 } \right)^2 = R^2
          

  Explanation

  Latex code for Parabola.

  • : Center Coordinates of Sphere
  • : Radius
  
  

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• Ellipse

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = 1
          

  Explanation

  Latex code for Ellipse.

  • : Center Coordinates of Ellipse
  • : Length of Axis a
  • : Length of Axis b
  
  

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• Ellipsoid

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} + \frac{{\left( {z - z_0 } \right)^2 }}{{c^2 }} = 1
          

  Explanation

  Latex code for Ellipsoid.

  • : Center Coordinates of Ellipsoid
  • : Length of Axis a
  • : Length of Axis b
  • : Length of Axis c
  
  

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• Elliptic Cone

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = \frac{{\left( {z - z_0 } \right)^2 }}{{c^2 }}
          

  Explanation

  Latex code for Elliptic Cone.

  • : Center Coordinates of Elliptic Cone
  • : Length of Axis a
  • : Length of Axis b
  • : Length of Axis c
  
  

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• Elliptic Cylinder

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = 1
          

  Explanation

  Latex code for Elliptic Cylinder.

  • : Center Coordinates of Elliptic Cylinder
  • : Length of Axis x
  • : Length of Axis y
  
  

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• Elliptic Paraboloid

  Math,Geometry

  Equation

  
  
  

  Latex Code

              \frac{{\left( {x - x_0 } \right)^2 }}{{a^2 }} + \frac{{\left( {y - y_0 } \right)^2 }}{{b^2 }} = \frac{{\left( {z - z_0 } \right)}}{c}
          

  Explanation

  Latex code for Elliptic Paraboloid.

  • : Center Coordinates of Elliptic Paraboloid.
  • : Length of Axis x
  • : Length of Axis y
  • : Length of Axis z
  
  

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• Spiral of Archimedes

  Math,Geometry

  Equation

  
  
  

  Latex Code

              r = a \theta
          

  Explanation

  Latex code for Spiral of Archimedes.

  • : r
  • : a
  • : Angle Theta
  
  

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