An elementary treatise on Quaternions: Clarendon Press Series

a₁ axis B₁ Cartesian Chapter circle commutative law cone conjugate constant cöordinates coplanar curve diameters differential direction drawn easily ellipsoid equal equation evidently expression factors Find the equation Find the locus formula geometrical given equation given lines given vectors gives Hamilton Hence hyperbola indeterminate intersection inverse function LAOB last section length linear and vector m₁ multiply obviously origin osculating plane P. G. TAIT P₁ parallel properties proved quaternion radius rectangular represented result right angles rotation S.aßy Saß scalar scalar equations second order self-conjugate sides solution Spdp sphere spherical conic ẞ₁ straight line student surface tangent plane Taylor's Theorem tensor theorem three vectors triangle unit-vector Vaß vector function vector perpendicular versor written φρ