Introduction to Quaternions |
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Page viii
... course of mathematics . It belongs to first principles and is their crowning and completion . It brings those principles face to face with operations , and thus not only satisfies the student of the mutual dependence of the two , but ...
... course of mathematics . It belongs to first principles and is their crowning and completion . It brings those principles face to face with operations , and thus not only satisfies the student of the mutual dependence of the two , but ...
Page 7
... . The converse is of course true , that if lines as vectors are represented by multiples of the same vector symbol , they are parallel . It is only necessary to add to what has preceded ART . 2. ] VECTOR ADDITION AND SUBTRACTION . 7.
... . The converse is of course true , that if lines as vectors are represented by multiples of the same vector symbol , they are parallel . It is only necessary to add to what has preceded ART . 2. ] VECTOR ADDITION AND SUBTRACTION . 7.
Page 8
... course , apply to the combination . 5. If we now join AC , and thus form a triangle ABC , and if we denote vector AB by a , BC by B , AC by y , it is clear that we shall be presented with the equation a + B = y . This equation appears ...
... course , apply to the combination . 5. If we now join AC , and thus form a triangle ABC , and if we denote vector AB by a , BC by B , AC by y , it is clear that we shall be presented with the equation a + B = y . This equation appears ...
Page 19
... course it is not necessary that the unit should have any specified value ; all that is required is that when once assumed for any given problem , it must remain unchanged throughout the discussion of that problem . If the line AB be ...
... course it is not necessary that the unit should have any specified value ; all that is required is that when once assumed for any given problem , it must remain unchanged throughout the discussion of that problem . If the line AB be ...
Page 32
... course the interpretation of our results will depend on the definition , and may in some points differ from the interpretation of the results of multiplication of numerical quantities . It is necessary to start with one limitation ...
... course the interpretation of our results will depend on the definition , and may in some points differ from the interpretation of the results of multiplication of numerical quantities . It is necessary to start with one limitation ...
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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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