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In physics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear vectors, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding vectors. According to the theorem,
A sin α = B sin β = C sin γ {\displaystyle {\frac {A}{\sin \alpha }}={\frac {B}{\sin \beta }}={\frac {C}{\sin \gamma }}}
where A, B and C are the magnitudes of the three coplanar, concurrent and non-collinear vectors, V A , V B , V C {\displaystyle V_{A},V_{B},V_{C}} , which keep the object in static equilibrium, and α, β and γ are the angles directly opposite to the vectors.
Lami's theorem is applied in static analysis of mechanical and structural systems. The theorem is named after Bernard Lamy.