An Elementary Treatise on QuaternionsUniversity Press, 1890 - 422 pagina's An 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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Pagina vi
... I know to be wholly due to Hamilton . A great part , indeed , may be said to be obvious to any one who has mastered the preliminaries ; still I think that , in the two last Chapters especially , a good deal of original vi PREFACE .
... I know to be wholly due to Hamilton . A great part , indeed , may be said to be obvious to any one who has mastered the preliminaries ; still I think that , in the two last Chapters especially , a good deal of original vi PREFACE .
Pagina vii
... Chapters , then to work at Chapters VI , VII , VIII ( to which numerous easy Examples are appended ) . After this he may work at the first five , with their ( more difficult ) Examples ; and the remainder of the book should then present ...
... Chapters , then to work at Chapters VI , VII , VIII ( to which numerous easy Examples are appended ) . After this he may work at the first five , with their ( more difficult ) Examples ; and the remainder of the book should then present ...
Pagina viii
... Chapter , hints ( which will not be lost to the intelligent student ) of farther develop- ments of the Calculus . Many of these are due to Hamilton , who , in spite of his great originality , was one of the most excellent examiners any ...
... Chapter , hints ( which will not be lost to the intelligent student ) of farther develop- ments of the Calculus . Many of these are due to Hamilton , who , in spite of his great originality , was one of the most excellent examiners any ...
Pagina ix
... chapters . ' In conclusion , I have only to say that I shall be much obliged to any one , student or teacher , who will point out portions of the work where a difficulty has been found ; along with any inaccuracies which may be detected ...
... chapters . ' In conclusion , I have only to say that I shall be much obliged to any one , student or teacher , who will point out portions of the work where a difficulty has been found ; along with any inaccuracies which may be detected ...
Pagina x
... chapters I have not fully exhibited the simplicity of Quaternions . I hope , however , that the corrections and extensions now made , especially in the later chapters , will render the work more useful for my chief object , the Physical ...
... chapters I have not fully exhibited the simplicity of Quaternions . I hope , however , that the corrections and extensions now made , especially in the later chapters , will render the work more useful for my chief object , the Physical ...
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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