Introduction to Quaternions |
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Page 33
... rotation we assume that , looked at in perspective in the figure before us , it is negative when in the direction of the motion of the hands of a watch , positive when in the contrary direction . In other words , we assume , as is done ...
... rotation we assume that , looked at in perspective in the figure before us , it is negative when in the direction of the motion of the hands of a watch , positive when in the contrary direction . In other words , we assume , as is done ...
Page 34
... rotation being united in one vector symbol as multiplier , just as magnitude and motion of translation were united in one vector symbol in the last chapter - we are bound to retain all the laws of algebraic multiplication so far as they ...
... rotation being united in one vector symbol as multiplier , just as magnitude and motion of translation were united in one vector symbol in the last chapter - we are bound to retain all the laws of algebraic multiplication so far as they ...
Page 169
... rotate . This is supplementary to the last , example . The pressures on the faces are fully expressed by the vector - areas above given , and their points of application are the centres of inertia of ART . 71. ] 169 FORMULE AND THEIR ...
... rotate . This is supplementary to the last , example . The pressures on the faces are fully expressed by the vector - areas above given , and their points of application are the centres of inertia of ART . 71. ] 169 FORMULE AND THEIR ...
Page 194
... rotation the three values of g are real . [ But we must take care to notice that the converse does not hold . This will be discussed later . ] If these values be real and different , there are three vectors at right angles to one ...
... rotation the three values of g are real . [ But we must take care to notice that the converse does not hold . This will be discussed later . ] If these values be real and different , there are three vectors at right angles to one ...
Page 195
... rotation through two right angles about the third axis . But we began by assuming that there is no rotation ! Hence , for the case considered , all three roots must be positive . See end of next section ( VI . ) . VI . This will appear ...
... rotation through two right angles about the third axis . But we began by assuming that there is no rotation ! Hence , for the case considered , all three roots must be positive . See end of next section ( VI . ) . VI . This will appear ...
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Common terms and phrases
A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES Exercises Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence HISTORY hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Litt Litt.D LL.D M.A. BOOK M.A. Cr MACMILLAN'S Mathematics middle points parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews Spop squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors values Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
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