Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 sider |
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Side 1
... given in all modern treatises . But Euclid dares not venture on fractions . Their properties were probably all but un- known to him . Accordingly we look in vain for any demonstration of the properties of fractions in the writings of ...
... given in all modern treatises . But Euclid dares not venture on fractions . Their properties were probably all but un- known to him . Accordingly we look in vain for any demonstration of the properties of fractions in the writings of ...
Side 3
... given , perhaps from their very simplicity , escape notice , but they are not less really examples of extension from science to science by the removal of a restriction . We have selected them in preference to the more familiar one of ...
... given , perhaps from their very simplicity , escape notice , but they are not less really examples of extension from science to science by the removal of a restriction . We have selected them in preference to the more familiar one of ...
Side 6
... given distance , in a given direction . Thus if AB be a straight line , the idea to be attached to ' vector AB ' is that of transference from A to B. For the sake of definiteness we shall frequently abbreviate the phrase ' vector AB ...
... given distance , in a given direction . Thus if AB be a straight line , the idea to be attached to ' vector AB ' is that of transference from A to B. For the sake of definiteness we shall frequently abbreviate the phrase ' vector AB ...
Side 19
... 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 designated by a , then will vector AB be aa ( Art . 3 ) . Sir ...
... 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 designated by a , then will vector AB be aa ( Art . 3 ) . Sir ...
Side 35
... given in Art . 18 , from which it follows at once that if a be a vector along Ox containing a units , ẞ a vector along Oy con- taining b units , a = ai , ẞ = bj , and aß = abij . In the same way a2 = ai . ai = 3-2 ART . 19. ] VECTOR ...
... given in Art . 18 , from which it follows at once that if a be a vector along Ox containing a units , ẞ a vector along Oy con- taining b units , a = ai , ẞ = bj , and aß = abij . In the same way a2 = ai . ai = 3-2 ART . 19. ] VECTOR ...
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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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