## An Elementary Treatise on Quaternions |

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angle application axes axis becomes centre Chapter circle condition cone conjugate constant contains course curvature curve definite determine diameters differential direction distance drawn easily effect element Eliminating ellipsoid employed envelop equal equation equivalent evidently example expression extremity fact factor fixed forces formula function given gives Hamilton Hence integral interpretation intersection involves length linear and vector locus means meet multiplied normal obtain obviously once operator origin parallel particular pass perpendicular plane position properties prove quaternion radius rectangular referred represents respectively result rotation Saß satisfied scalar second order seen shew sides similar Similarly simple solution space sphere spherical student suppose surface tangent plane tensor theorem tion transformation triangle unit-vector Vaß vector vector function versor write written