Introduction to Quaternions |
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Page x
... pure geometry , is due to Prof. Tait alone . Sir W. Hamilton , on nearly the last completed page of his last work , indicated Prof. Tait as eminently fitted to carry on happily and usefully the appli- cations , mathematical and physical ...
... pure geometry , is due to Prof. Tait alone . Sir W. Hamilton , on nearly the last completed page of his last work , indicated Prof. Tait as eminently fitted to carry on happily and usefully the appli- cations , mathematical and physical ...
Page 193
... Pure , or non - rotational , strain consists in altering the lengths of three lines at right angles to one another , without altering their directions . Hence if op1 = g1P1 P2 = 92P2 PP = 93P3 the strain is pure if , and not unless , p1 ...
... Pure , or non - rotational , strain consists in altering the lengths of three lines at right angles to one another , without altering their directions . Hence if op1 = g1P1 P2 = 92P2 PP = 93P3 the strain is pure if , and not unless , p1 ...
Page 194
... pure ) for = 92 SP12 P2 = 912 and p3Î1⁄2 = Ÿ‚2Î2 • Hence , except in the particular case of we must have 91-92 = Spp = 0 , whence the proposition . When g , and g , are equal , p , and p , are each perpendicular to P3 ' but any vector ...
... pure ) for = 92 SP12 P2 = 912 and p3Î1⁄2 = Ÿ‚2Î2 • Hence , except in the particular case of we must have 91-92 = Spp = 0 , whence the proposition . When g , and g , are equal , p , and p , are each perpendicular to P3 ' but any vector ...
Page 198
... pure strain and the merely rotational part . If a strain be capable of being decomposed into 1st a pure strain , 2nd a rotation , it is obvious that the vectors which in the altered state of the body become the axes of the strain ...
... pure strain and the merely rotational part . If a strain be capable of being decomposed into 1st a pure strain , 2nd a rotation , it is obvious that the vectors which in the altered state of the body become the axes of the strain ...
Page 200
... pure strain , which is the square ( or the result of two applications ) of the pure part of either . To solve this equation we employ expressions like ( k ) . ' being a known function , let us call it w , and form its equation as = 0 ...
... pure strain , which is the square ( or the result of two applications ) of the pure part of either . To solve this equation we employ expressions like ( k ) . ' being a known function , let us call it w , and form its equation as = 0 ...
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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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