An Elementary Treatise on QuaternionsAn Elementary Treatise on Quaternions by Peter Guthrie Tait, first published in 1890, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
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a₁ axes axis B₁ Cambridge Cartesian centre Chapter circle cone conjugate constant cöordinates coplanar curvature curve differential direction drawn easily ellipsoid equal evidently expression factors Find the locus formula given equation given lines given vectors gives Hamilton Hence indeterminate intersection LAOB last section length linear and vector multiply obviously Operating origin osculating plane P₁ parallel perpendicular properties prove quaternion radius rectangular represented right angles rotation S.aßp S.aßy Saß scalar scalar equations second order self-conjugate shew sides solution sphere spherical conic spherical excess St John's College student suppose surface surface of revolution tangent plane Taylor's Theorem tensor theorem three vectors triangle unit-vector vanish Vaß vector function vector perpendicular versor whence write written αβγ φρ