Text: The quotient of two vectors is called a Quaternion. Whatever the nature of this quotient, we are to regard it as some factor which operating on the divisor produces the dividend. A quaternion is a complex quantity, decomposable into two factors, one of which stretches or shortens the vector divisor so that its length shall equal that of the vector dividend, and is a signless number called the Tensor of the Quaternion; the other turns the vector divisor so that it shall coincide with the vector dividend, and is therefore called the Versor of the quaternion.

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