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Theorem

Lami's Theorem

Mathematical Physics

In physics, Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear force vectors that keep an object in static equilibrium to the angles directly opposite each corresponding vector, with each vector's magnitude divided by the sine of its opposite angle equal for all three. The theorem is named after Bernard Lamy and is applied in the static analysis of mechanical and structural systems.

Facts
Classification
Statement Form
Identity or Equation 1
Proof Year
1679 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Sources
1. Lami's Theorem - ProofWiki
ProofWiki, Lami's Theorem, page statement
Quote, ProofWiki, Lami's Theorem, page statement
Lami's Theorem was shown by Bernard Lamy in 1679.
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