List of Curves and Shapes Geometry Math Formulas Latex Code

rockingdingo 2023-05-24 #Math #Geometry
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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

    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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