Introduction to Quaternions |
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Page x
... 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 , of ...
... 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 , of ...
Page 4
... Geometry . An appeal is made to mental transference in the one science , to mental superposition in the other . We are then to consider how it is possible to frame a new science which shall spring out of Arithmetic , Algebra , and Geometry ...
... Geometry . An appeal is made to mental transference in the one science , to mental superposition in the other . We are then to consider how it is possible to frame a new science which shall spring out of Arithmetic , Algebra , and Geometry ...
Page 6
... geometry , designate ' vector BC ' by the same symbol , which we adopted to designate ' vector AB . Further , if we start from any other point O in space , and advance from that point by the distance OX equal to and in the same ...
... geometry , designate ' vector BC ' by the same symbol , which we adopted to designate ' vector AB . Further , if we start from any other point O in space , and advance from that point by the distance OX equal to and in the same ...
Page 7
Philip Kelland, Peter Guthrie Tait. 2. In order to apply algebra to geometry , it is necessary to impose on geometry the condition that when a line measured in one direction is represented by a positive symbol , the same line measured in ...
Philip Kelland, Peter Guthrie Tait. 2. In order to apply algebra to geometry , it is necessary to impose on geometry the condition that when a line measured in one direction is represented by a positive symbol , the same line measured in ...
Page 8
... geometry . Expressed in words it reads thus : ' A transference from A to B followed by a trans- ference from B to C is equivalent to a transference from A to C. ' 6. AXIOм . If two vectors have not the same direction , it is impossible ...
... geometry . Expressed in words it reads thus : ' A transference from A to B followed by a trans- ference from B to C is equivalent to a transference from A to C. ' 6. AXIOм . If two vectors have not the same direction , it is impossible ...
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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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