Bramagupta's formula, which can be used to calculate this property of a cyclic (*) quadrilateral, is a generalized form of a formula which applies only to triangles, known as Heron's formula.
This quantity can be calculated using Bretschneider's formula. The Reeve tetrahedron proves that Pick's theorem to find this quantity using lattice points cannot be generalized to polytopes, and the shoelace formula can be used to calculate this quantity if coordinates of vertices are known. Bramagupta's formula, which can be used to calculate this property of a cyclic (*) quadrilateral, is a generalized form of a formula which applies only to triangles, known as Heron's formula. Simpson's rule is used to estimate this value under a curve, which is calculated by definite integrals. For 10 points, identify this quantity, which, for a square, is equal to the side length squared.
This quantity can be calculated using Bretschneider's formula.
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