An Elementary Treatise on Quaternions |
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Page ix
... write down your equations , " for mere mechanical dexterity of analysis is certain to lead at once to error on account of the novelty of the processes employed . ( The Table of Contents has been drawn up so as to give the student a ...
... write down your equations , " for mere mechanical dexterity of analysis is certain to lead at once to error on account of the novelty of the processes employed . ( The Table of Contents has been drawn up so as to give the student a ...
Page x
... write the work ; and that , in consequence of this , and of the large additions which have been made ( especially to the later chapters ) , the whole will now present even a more miscellaneously jumbled appearance than at first . It is ...
... write the work ; and that , in consequence of this , and of the large additions which have been made ( especially to the later chapters ) , the whole will now present even a more miscellaneously jumbled appearance than at first . It is ...
Page xi
... revolution which must ultimately come . Many abbreviations are possible , and sometimes very useful in private work ; but , as a rule , they are unsuited for print . Every analyst , like every short - hand writer , has PREFACE . xi.
... revolution which must ultimately come . Many abbreviations are possible , and sometimes very useful in private work ; but , as a rule , they are unsuited for print . Every analyst , like every short - hand writer , has PREFACE . xi.
Page xii
Peter Guthrie Tait. analyst , like every short - hand writer , has his own special con- tractions ; but , when he ... writing for his own use , the confusion would be utterly intolerable . Finally , I must express my great obligations ...
Peter Guthrie Tait. analyst , like every short - hand writer , has his own special con- tractions ; but , when he ... writing for his own use , the confusion would be utterly intolerable . Finally , I must express my great obligations ...
Page xvi
... write n dFq = f ( q , dq ) , 68-70 71-76 where f is linear and homogeneous in dq ; but we cannot generally write dFq = f ( q ) dq . §§ 128-131 . Definition of the differential of a function of more quaternions xvi CONTENTS .
... write n dFq = f ( q , dq ) , 68-70 71-76 where f is linear and homogeneous in dq ; but we cannot generally write dFq = f ( q ) dq . §§ 128-131 . Definition of the differential of a function of more quaternions xvi CONTENTS .
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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