Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 sider |
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Side ix
... value and originality , An Elementary Treatise on Quaternions . The literature of the subject is completed in all but what relates to its physical applications , when I mention in addition Hamilton's second great work , Elements of ...
... value and originality , An Elementary Treatise on Quaternions . The literature of the subject is completed in all but what relates to its physical applications , when I mention in addition Hamilton's second great work , Elements of ...
Side 4
... value . The real advance was due to the thought of severing multiplication from addition , so that the one might be the representative of a kind of motion absolutely different from that which was represented by the other , yet capable ...
... value . The real advance was due to the thought of severing multiplication from addition , so that the one might be the representative of a kind of motion absolutely different from that which was represented by the other , yet capable ...
Side 12
... ( n − 1 ) m mn - 1 ( ma + B ) — ma } . The two values of BF being equated , and Art . 6 applied , there results p = 1 - z n 1 mn ---- - ין m p = 2 - mn - 1 ין . whence 1 - p Ρ 2-1 1 m - AF 12 [ CHAP . II . QUATERNIONS .
... ( n − 1 ) m mn - 1 ( ma + B ) — ma } . The two values of BF being equated , and Art . 6 applied , there results p = 1 - z n 1 mn ---- - ין m p = 2 - mn - 1 ין . whence 1 - p Ρ 2-1 1 m - AF 12 [ CHAP . II . QUATERNIONS .
Side 19
... 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 supposed to be a units in length , and the unit vector along AB be ...
... 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 supposed to be a units in length , and the unit vector along AB be ...
Side 21
... values of a , b , c so that aa + bß + cy shall = 0 . For a triangle can be constructed whose sides shall be parallel respectively to a , ẞ , y . Now if the vectors corresponding to those sides taken in order be aa , bẞ , cy respectively ...
... values of a , b , c so that aa + bß + cy shall = 0 . For a triangle can be constructed whose sides shall be parallel respectively to a , ẞ , y . Now if the vectors corresponding to those sides taken in order be aa , bẞ , cy respectively ...
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Vanlige uttrykk og setninger
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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