- Clifford considers an
**octonion**p+wq as the quotient of two motors p+wv, p'+wo'. - Thus, in place of his general tri-quaternion we might deal with products of an odd number of point-plane-scalars (of form, uq+wr) which are themselves point-plane-scalars; and products of an even number which are
**octonions**; the quotient of two point-plane-scalars would be an**octonion**, of two**octonions**an**octonion**, of an**octonion**by a point-plane-scalar or the inverse a point-plane-scalar. - Again a unit point p. may be regarded as by multiplication changing (a) from
**octonion**to point-plane-scalar, (b) from point-plane-scalar to**octonion**, (c) from plane-scalar to linear element, (d) from linear element to plane-scalar.

- octonion
- octonionic
- octonionics
- octonions