An Elementary Treatise on Quaternions |
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Page vi
... course , tell in every case what I have gathered from his published papers , or from his voluminous correspondence , and what I may have made out for myself . Some theorems and processes which I have given , though wholly my own , in ...
... course , tell in every case what I have gathered from his published papers , or from his voluminous correspondence , and what I may have made out for myself . Some theorems and processes which I have given , though wholly my own , in ...
Page vii
... course , if we premise the properties of i , j , k merely , it is possible to construct from them the whole system * ; just as we deal with the imaginary of Algebra , or , to take a closer analogy , just as Hamilton himself dealt with ...
... course , if we premise the properties of i , j , k merely , it is possible to construct from them the whole system * ; just as we deal with the imaginary of Algebra , or , to take a closer analogy , just as Hamilton himself dealt with ...
Page ix
... course , the introduction into the scheme of examination of such branches of mathematical physics as the Theories of Heat and Electricity . But it appears to me that the study of a mathematical method like Quaternions , which , while of ...
... course , the introduction into the scheme of examination of such branches of mathematical physics as the Theories of Heat and Electricity . But it appears to me that the study of a mathematical method like Quaternions , which , while of ...
Page 2
... course , denotes the point whose x and y cöordinates are -b and a ; or the line joining this point with the origin . The length is still a2 + b2 , but the angle the line makes with the axis of a is tan - 1 ( - ) ; which is evidently 90 ...
... course , denotes the point whose x and y cöordinates are -b and a ; or the line joining this point with the origin . The length is still a2 + b2 , but the angle the line makes with the axis of a is tan - 1 ( - ) ; which is evidently 90 ...
Page 4
... course of exposition ; especially as we thereby avoid some reasoning which , though rigorous and beautiful , might be apt , from its subtlety , to prove repulsive to the beginner . We commence , therefore , with some very elementary ...
... course of exposition ; especially as we thereby avoid some reasoning which , though rigorous and beautiful , might be apt , from its subtlety , to prove repulsive to the beginner . We commence , therefore , with some very elementary ...
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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