Definition:Cayley-Menger Determinant
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Definition
The Cayley-Menger determinant is a determinant that gives the volume of a simplex in $j$ dimensions.
Also see
- Results about the Cayley-Menger determinant can be found here.
Source of Name
This entry was named for Arthur Cayley and Karl Menger.
Historical Note
The Cayley-Menger determinant was given this name by Leonhard M. Blumenthal in $1953$.
His justification was that it had been proposed initially in $1841$ by Arthur Cayley, and subsequently by Karl Menger in $1923$.
Sources
- 2009: Karl Wirth and André S. Dreiding: Edge lengths determining tetrahedrons (Elem. Math. Vol. 64: pp. 160 – 170): Theorem $3.1$