Introduction to QuaternionsMacmillan and Company, 1882 - 232 |
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Strona viii
... problem is more or less self- contained . This is my apology for the present treatise . The work is , as I have said , the joint production of Prof. Tait and myself . The preface I have written without consulting my colleague , as I am ...
... problem is more or less self- contained . This is my apology for the present treatise . The work is , as I have said , the joint production of Prof. Tait and myself . The preface I have written without consulting my colleague , as I am ...
Strona 16
... problems . It consists , as we have already stated , in reach- ing the points P and Q respectively by two different routes , -viz . through C and through E for P ; through B and through E for Q --and comparing the results . cp = pct Cor ...
... problems . It consists , as we have already stated , in reach- ing the points P and Q respectively by two different routes , -viz . through C and through E for P ; through B and through E for Q --and comparing the results . cp = pct Cor ...
Strona 19
... problem , it must remain unchanged throughout the discussion of that problem . If the line AB be supposed to be a units in length , and the unit vector along AB be designated by a , then will vector AB be aa ( Art . 3 ) . Sir William ...
... problem , it must remain unchanged throughout the discussion of that problem . If the line AB be supposed to be a units in length , and the unit vector along AB be designated by a , then will vector AB be aa ( Art . 3 ) . Sir William ...
Strona 65
... problem constant . If x , y , z be the co - ordinates of p this equation gives at once p2 = ( pro as the equation required . T. Q. ( x2 + y2 + z2 ) 3 = Cxyz - X + 4 g ' + z , Ex . 3. To find the locus of the middle ART . 35. ] 65 THE ...
... problem constant . If x , y , z be the co - ordinates of p this equation gives at once p2 = ( pro as the equation required . T. Q. ( x2 + y2 + z2 ) 3 = Cxyz - X + 4 g ' + z , Ex . 3. To find the locus of the middle ART . 35. ] 65 THE ...
Strona 66
... the unit vectors along OA , OB be a , ẞ respectively . ОА = ma , OA ' = m'a , OB = nẞ , OB ' = n'ẞ ; then the conditions of the problem are mn = m'n ' = C , mm ' = = α . Now if AB , A'B ' intersect in P , 66 [ CHAP . IV . QUATERNIONS .
... the unit vectors along OA , OB be a , ẞ respectively . ОА = ma , OA ' = m'a , OB = nẞ , OB ' = n'ẞ ; then the conditions of the problem are mn = m'n ' = C , mm ' = = α . Now if AB , A'B ' intersect in P , 66 [ CHAP . IV . QUATERNIONS .
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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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