Gauss's magic shoelace area formula and its calculus companion

Gauss's magic shoelace area formula and its calculus companion

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Mathologer • 77K views

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Math topics:
_Elementary_shapes_##Elementary shapes##_Parallelogram_##Parallelogram##_Rectangle_##Rectangle##_Triangle_##Triangle##_Kite_(geometry)_##Kite (geometry)##_Orientation_(geometry)_##Orientation (geometry)##_Rotation_##Rotation##_Direction_(geometry)_##Direction (geometry)##_Clockwise_##Clockwise##_Curves_##Curves##_Cardioid_##Cardioid##_Curve_##Curve##_Deltoid_curve_##Deltoid curve##_Calculus_##Calculus##_Pi_##Pi##_Calculus_##Calculus##_Infinitesimal_##Infinitesimal##_Functions_and_mappings_##Functions and mappings##_Translation_(geometry)_##Translation (geometry)##_Function_(mathematics)_##Function (mathematics)##_Integral_##Integral##_Mathematical_terminology_##Mathematical terminology##_Parameter_##Parameter##_Dependent_and_independent_variables_##Dependent and independent variables##_Mathematics_##Mathematics##_Elementary_arithmetic_##Elementary arithmetic##_Addition_##Addition##_Multiplication_##Multiplication##_Equality_(mathematics)_##Equality (mathematics)##_Mathematics_##Mathematics##_Line_(geometry)_##Line (geometry)##_Formula_##Formula##_Mathematician_##Mathematician##_Infinity_##Infinity##_Point_(geometry)_##Point (geometry)
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_Linear_algebra_##Linear algebra##_Euclidean_vector_##Euclidean vector##_Linear_algebra_##Linear algebra##_Edge_(geometry)_##Edge (geometry)##_Linear_span_##Linear span##_Matrix_theory_##Matrix theory##_Matrix_(mathematics)_##Matrix (mathematics)##_Determinant_##Determinant##_Trace_(linear_algebra)_##Trace (linear algebra)##_Physical_quantities_##Physical quantities##_Area_##Area##_Derivative_##Derivative##_Second_##Second
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