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Classical Hamiltonian quaternions : ウィキペディア英語版
Classical Hamiltonian quaternions

William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton's original treatment of quaternions, using his notation and terms. Hamilton's treatment is more geometric than the modern approach, which emphasizes quaternions' algebraic properties. Mathematically, quaternions discussed differ from the modern definition only by the terminology which is used.
==Classical elements of a quaternion==
Hamilton defined a quaternion as the quotient of two directed lines in tridimensional space; or, more generally, as the quotient of two vectors.
A quaternion can be represented as the sum of a ''scalar'' and a ''vector''. It can also be represented as the product of its ''tensor'' and its ''versor''.

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