Introduction to Quaternions: With Numerous Examples |
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Page 3
... ellipsoid on any point on its surface , or within it , can be got at once from the attraction of the same ellipsoid on a point placed at the extremity of an axis ; and this latter attraction is found and reduced to elliptic functions as ...
... ellipsoid on any point on its surface , or within it , can be got at once from the attraction of the same ellipsoid on a point placed at the extremity of an axis ; and this latter attraction is found and reduced to elliptic functions as ...
Page vi
... ellipsoid , the reciprocal of that chosen by the latter geometer , and deduced those results which had long before been arrived at by the more operose methods of Euler and Lagrange . His method of investigation , however , was ...
... ellipsoid , the reciprocal of that chosen by the latter geometer , and deduced those results which had long before been arrived at by the more operose methods of Euler and Lagrange . His method of investigation , however , was ...
Page x
... ELLIPSOID UNDER THE INFLUENCE ART . OF ITS OWN ATTRACTION . 341. History of the problem 342. General statement of ... ellipsoid of revolution 349. Properties of the function F ( x ) • 350. Motion of an ellipsoid of revolution which is ...
... ELLIPSOID UNDER THE INFLUENCE ART . OF ITS OWN ATTRACTION . 341. History of the problem 342. General statement of ... ellipsoid of revolution 349. Properties of the function F ( x ) • 350. Motion of an ellipsoid of revolution which is ...
Page 29
... ellipsoid with long axis along x , D1 « 1 ; for a thin disk - ellipsoid with short axis along x , D1≈ 1. We shall call the D's depolarizing factors . In applied field E , we have ( Fig . 11 ) E = E。— Dy P , where D is D1 , D2 , or D ̧ ...
... ellipsoid with long axis along x , D1 « 1 ; for a thin disk - ellipsoid with short axis along x , D1≈ 1. We shall call the D's depolarizing factors . In applied field E , we have ( Fig . 11 ) E = E。— Dy P , where D is D1 , D2 , or D ̧ ...
Page 21
... ellipsoid are propor- tional to the squares of those perpendiculars . It is , however , con- venient to call that particular ellipsoid the ellipsoid of gyration which makes the moment of inertia about a perpendicular on a tangent plane ...
... ellipsoid are propor- tional to the squares of those perpendiculars . It is , however , con- venient to call that particular ellipsoid the ellipsoid of gyration which makes the moment of inertia about a perpendicular on a tangent plane ...
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Common terms and phrases
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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