Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
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Σελίδα 32
... operator on that which follows : in other words that aß shall read ' a into ẞ ' , and denote a operating on B. . 16. As in the Cartesian Geometry , so here we indicate the position of a point in space by its relation to three axes ...
... operator on that which follows : in other words that aß shall read ' a into ẞ ' , and denote a operating on B. . 16. As in the Cartesian Geometry , so here we indicate the position of a point in space by its relation to three axes ...
Σελίδα 34
... operator on j the duty of turning j through a right angle as if by a left - handed turn with a cork - screw handle , thus throwing jup from the plane xy ; when , on the other hand , j is the operator and i the vector operated on , a ...
... operator on j the duty of turning j through a right angle as if by a left - handed turn with a cork - screw handle , thus throwing jup from the plane xy ; when , on the other hand , j is the operator and i the vector operated on , a ...
Σελίδα 45
... operator of the same α character as - k or € ( as we have now called the corresponding unit vector ) ; with this difference only , that whereas - k or e as an operator would turn a through a right angle , cos + e sin @ turns it , in the ...
... operator of the same α character as - k or € ( as we have now called the corresponding unit vector ) ; with this difference only , that whereas - k or e as an operator would turn a through a right angle , cos + e sin @ turns it , in the ...
Σελίδα 46
... operator β about the same axis in the same direction acting on ß , it will bring it into the position y . γ β 0 But it is evident that acting on a would at once have brought it into the position α 7. This is equivalent to the fact that ...
... operator β about the same axis in the same direction acting on ß , it will bring it into the position y . γ β 0 But it is evident that acting on a would at once have brought it into the position α 7. This is equivalent to the fact that ...
Σελίδα 47
... operator . ( 3 ) Now we have already seen ( 19. 1 ) that e2 = -1 ; . ' . € * = + 1 . Conversely , if e = e , n must be an odd number ; if e " = - 1 , n must be an odd multiple of 2 ; and if e " = + 1 , n must be an even multiple of 2 ...
... operator . ( 3 ) Now we have already seen ( 19. 1 ) that e2 = -1 ; . ' . € * = + 1 . Conversely , if e = e , n must be an odd number ; if e " = - 1 , n must be an odd multiple of 2 ; and if e " = + 1 , n must be an even multiple of 2 ...
Άλλες εκδόσεις - Προβολή όλων
Introduction to Quaternions, with Numerous Examples Philip Kelland,Peter Guthrie Tait Πλήρης προβολή - 1873 |
Introduction to Quaternions, with Numerous Examples. Philip Kelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Introduction to Quaternions, with Numerous Examples P. Kelland,P. G. Tait Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle Clifton College cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES FASNACHT Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Lecturer LL.D M.A. Cr m₁ MACMILLAN'S Mathematics middle points Owens College p₁ parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
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