An Elementary Treatise on Quaternions |
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Page 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 .
Page 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 ...
Page 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 ...
Page 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 ...
Page 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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Common terms and phrases
a₁ axes axis Cartesian centre of inertia Chapter circle cloth cone conjugate constant cöordinates coplanar curvature curve developable surface diameters differential direction drawn easily ellipsoid envelop equal evidently expression Extra fcap extremity fcap Find the equation Find the locus given equation given line given vectors gives Hamilton Hence hodograph integral intersection last section length linear and vector locus normal obviously once operator origin osculating osculating plane P₁ parabola parallel perpendicular properties quaternion radius rectangular represents result right angles rotation S.aßy Saß scalar scalar equations second order self-conjugate shew solution sphere spherical straight line suppose surface surface of revolution tangent plane Taylor's Theorem tensor theorem three vectors triangle unit-vectors Vaß vector function versor w₁ write written Τρ φρ