An Elementary Treatise on Quaternions |
From inside the book
Results 1-5 of 38
Page ix
... contain many slips and even errors . Should it reach another edition there is no doubt that it will be improved in many important par- ticulars . ' To this I have now to add that I have been equally surprised and delighted by so speedy ...
... contain many slips and even errors . Should it reach another edition there is no doubt that it will be improved in many important par- ticulars . ' To this I have now to add that I have been equally surprised and delighted by so speedy ...
Page xiii
... containing implicitly three distinct numbers . Extension of the signification of the symbol = . § 18 . The sign defined in accordance with the interpretation of a vector as representing translation . § 19 . Definition of - . It simply ...
... containing implicitly three distinct numbers . Extension of the signification of the symbol = . § 18 . The sign defined in accordance with the interpretation of a vector as representing translation . § 19 . Definition of - . It simply ...
Page xix
... contains the whole theory of the motion of a rigid body with one point fixed . Reduction to the ordinary form dt dw dx dy dz = = = 2 W X Y Ꮓ Here , if no forces act , W , X , Y , Z are homogeneous functions of the third degree in w , x ...
... contains the whole theory of the motion of a rigid body with one point fixed . Reduction to the ordinary form dt dw dx dy dz = = = 2 W X Y Ꮓ Here , if no forces act , W , X , Y , Z are homogeneous functions of the third degree in w , x ...
Page 2
... contains the direction , as well as the length , of this line ; since , as b we see at once , the direction is inclined at an angle tan - 1 to the axis of a , and the length is √a2 + b2 . a 6. ] Operating on this symbol by the factor 1 ...
... contains the direction , as well as the length , of this line ; since , as b we see at once , the direction is inclined at an angle tan - 1 to the axis of a , and the length is √a2 + b2 . a 6. ] Operating on this symbol by the factor 1 ...
Page 5
... contains implicitly equality in length and parallelism in direction . So far we have extended the meaning of an algebraical symbol . And it is to be noticed that an equation between vectors , as a = ß , contains three distinct equations ...
... contains implicitly equality in length and parallelism in direction . So far we have extended the meaning of an algebraical symbol . And it is to be noticed that an equation between vectors , as a = ß , contains three distinct equations ...
Other editions - View all
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