Theorems about triangles | Trigonometry

Mollweide's formula

In trigonometry, Mollweide's formula is a pair of relationships between sides and angles in a triangle. A variant in more geometrical style was first published by Isaac Newton in 1707 and then by in 1746. Thomas Simpson published the now-standard expression in 1748. Karl Mollweide republished the same result in 1808 without citing those predecessors. It can be used to check the consistency of solutions of triangles. Let a, b, and c be the lengths of the three sides of a triangle.Let α, β, and γ be the measures of the angles opposite those three sides respectively. Mollweide's formulas are (Wikipedia).

Mollweide's formula
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Related pages

Law of sines | Law of cosines | Thomas Simpson | Solution of triangles | Isaac Newton | Semiperimeter | Law of tangents | Trigonometry | Law of cotangents