Elements of Quaternions: Vol. 1-2

Longmans, Green, & Company, 1899 - 1085 pagine

B	3

On Sums of Three or more Vectors	7

APPLICATIONS OF VECTORS TO SPACE	44

On Quinary Symbols for Points and Planes in Space 5055	50

On Geometrical Nets in Space 6181	61

On Barycentres of Systems of Points and on Simple and Com	81

On Anharmonic Equations and Vector Expressions of Surfaces	87

On Differentials of Vectors	96

CHAPTER II	250

On Continued Proportion of Four or more Vectors whole	256

On the Amplitudes of Quaternions in a given Plane and	262

On Finite or Polynomial Equations of Algebraic Form	277

On the n² n Imaginary or Symbolical Roots of a Quaternion	288

ON DIPLANAR QUATERNIONS OR QUOTIENTS OF VECTORS IN SPACE	301

On some Geometrical Proofs of the Associative Property	308

as far as the formula VIII in p 294 should be read as a preparation for the Third	310

BOOK II	105

On the Reciprocal Conjugate Opposite and Norm of a Quater	122

and its expression is found to	127

122131	131

are regarded p 135 Art 1534 Deduction of properties proved in Arts 1478 when	137

On a System of Three Right Versors in three Rectangular	157

On the Tensor of a Vector or of a Quaternion and on	163

On the Sum or Difference of any two Quaternions and	176

On the Right Part or Vector Part of a Quaternion and	192

S a and 8 V a are projections of OB along	218

Geometrical consequences of the construction p 235 Art 219 Semiaxes Spherical	240

NIONS	321

On some Consequences of the foregoing Interpretation	322

HAMILTONS ELEMENTS OF QUATERNIONS	329

On the Interpretation of a Product of Three or more Vectors	337

in which a B Y p are any four vectors while S and V are signs of the operations	356

but is better adapted to an extension of the theory as in the following Sections	369

On an Equivalent Interpretation of the Fourth Proportional	379

On the Third Method of interpreting a Product or Function	394

On Powers and Logarithms of Diplanar Quaternions with	421

ON DIFFERENTIALS AND DEVELOPMENTS OF FUNCTIONS OF QUATERNIONS	430

generally small But it is shown at a later stage Art 401 that the principles of this	532

Titolo	Elements of Quaternions: Vol. 1-2 Volume 1 di Elements of Quaternions, Sir William Rowan Hamilton
Autore	William Rowan Hamilton
Curatore	Charles Jasper Joly (M.A.)
Edizione	2
Editore	Longmans, Green, & Company, 1899
Provenienza dell'originale	la University of Michigan
Digitalizzato	4 feb 2010
Lunghezza	1085 pagine

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