The Encyclopaedia Britannica: A Dictionary of Arts, Sciences and General Literature, 20. köideLittle, Brown, 1886 |
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... QUATERNIONS . Prof. P. G. TAIT . QUEBEC . GEORGE STEWART , Jun . QUEENSLAND . JAMES BONWICK . QUESNAY . J. K. INGRAM , LL.D. QUEVEDO . A. MOREL - FATIO . QUININE . E. M. HOLMES . QUINTILIAN . J. S. REID , D. Litt . RABBI . S. M. ...
... QUATERNIONS . Prof. P. G. TAIT . QUEBEC . GEORGE STEWART , Jun . QUEENSLAND . JAMES BONWICK . QUESNAY . J. K. INGRAM , LL.D. QUEVEDO . A. MOREL - FATIO . QUININE . E. M. HOLMES . QUINTILIAN . J. S. REID , D. Litt . RABBI . S. M. ...
Page 160
... quaternion properly means " a set of four . " In employing such a word to denote a new mathematical method , Sir ... QUATERNIONS . Quaternions ( as a mathematical method ) is an exten- sion , or improvement , of Cartesian geometry , in ...
... quaternion properly means " a set of four . " In employing such a word to denote a new mathematical method , Sir ... QUATERNIONS . Quaternions ( as a mathematical method ) is an exten- sion , or improvement , of Cartesian geometry , in ...
Page 161
... quaternions than anything in Argand's work ought to have been suggested by De Moivre's theorem ( 1730 ) . Instead of regarding , as Buée and Argand had done , the expression a ( cos + i sin 0 ) as a directed line , let us suppose it to ...
... quaternions than anything in Argand's work ought to have been suggested by De Moivre's theorem ( 1730 ) . Instead of regarding , as Buée and Argand had done , the expression a ( cos + i sin 0 ) as a directed line , let us suppose it to ...
Page 162
... quaternions could be at once expressed as a third quaternion , thus- where ( a + ib + jc + kα ) ( a ' + ib ' + jc ' + kd ' ) = A + ¿ B + jC + kD , A - aa ' - bb ' - cc ' - dd ' , Bab ' + ba ' + cd ' - dc ' , C = ac ' + ca ' + db ′ — bd ...
... quaternions could be at once expressed as a third quaternion , thus- where ( a + ib + jc + kα ) ( a ' + ib ' + jc ' + kd ' ) = A + ¿ B + jC + kD , A - aa ' - bb ' - cc ' - dd ' , Bab ' + ba ' + cd ' - dc ' , C = ac ' + ca ' + db ′ — bd ...
Page 163
... quaternion product . But We can devote but a few lines to the consideration of leisure to extend his method to angles in space . Hamilton and Grass- Grassmann distinctly states in his preface that he had not had the expression above ...
... quaternion product . But We can devote but a few lines to the consideration of leisure to extend his method to angles in space . Hamilton and Grass- Grassmann distinctly states in his preface that he had not had the expression above ...
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