## An Elementary Treatise on Quaternions |

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axes axis Cartesian Cartesian coordinates centre circle clotb condition cone constant coplanar curvature curve cylinder developable surface differential direction drawn easily Eliminating ellipsoid equal equation becomes equivalent evidently expression Extra fcap extremity Find the equation Find the locus formula given equation given lines given point given vectors Hamilton Hence hodograph indeterminate integral intersection inverse function LAOB last section length linear and vector normal obtain obviously once operating origin osculating osculating circle osculating plane parabola parallel properties prove quaternion radius rectangular system represents result right angles rotation S.apy satisfied scalar equations second degree second order shew shewn sides Similarly solution Sp<pp sphere spherical excess student suppose surface of revolution tangent plane Taylor's Theorem tensor tetrahedron theorem three vectors tion transformation triangle unit-vector vanish vector function vector perpendicular versor whence write written