 Dub. Math. Journal, II. p. 62), that the forces produced by given distributions of matter, electricity, magnetism, or galvanic currents, can be represented at every point by displacements of such a solid producible by external forces. It may be useful...  An Elementary Treatise on Quaternions - Page 264by Peter Guthrie Tait - 1873 - 296 pagesFull view - About this book
 | Royal Society of Edinburgh - 1866 - 688 pages
...and if the solid be incompressible 0 .............................. (17) Thomson has shown (Camb. & Dub. Math. Journal, ii. p. 62), that the forces produced...analysis, with some additions, in a quaternion form, to show the insight gained by the simplicity of the present method. Thus, if So-fyi = 8=-, we may write... | |
 | Peter Guthrie Tait - 1867 - 364 pages
...solid be incompressible SVa= 0 ............................... (3) Thomson has shown (Cam6. and J)ub. Math. Journal, ii. p. 62), that the forces produced...analysis, with some additions, in a quaternion form, to show the insight gained by the simplicity of the present method. 425. Thus, if Sabp = 8 -=- we may... | |
 | Peter Guthrie Tait - 1898 - 548 pages
...incompressible SV<T = Q ................ (17). Thomson has shown (Camb. and Dub. Math. Journal, np b'2), that the forces produced by given distributions of...analysis, with some additions, in a quaternion form, to show the insight gained by the simplicity of the present method. Thus, if SaSp = S * , we may write... | |
 | Peter Guthrie Tait - 1898 - 550 pages
...generally, p = kSVa; and if the solid be incompressible SVo- = 0 ................ (17). Thomson has shown (Camb. and Dub. Math. Journal, II. p. 62), that the...analysis, with some additions, in a quaternion form, to show the insight gained by the simplicity of the present method. Thus, if Sa8p = 8 „ , we may write... | |
 | Royal Society of Edinburgh - 1866 - 690 pages
...the solid be incompressible S«cr = 0 .............................. (17) Thomson has shown (Camb. & Dub. Math. Journal, ii. p. 62), that the forces produced...analysis, with some additions, in a quaternion form, to show the insight gained by the simplicity of the present method. Thus, if Scr-Sp=8=-, we may write... | |
 | Peter Guthrie Tait - 2018 - 462 pages
...= o (i), whence SSpVto- = — S£pVp = Sp, a complete differential (2). Also, generally, p = cSV<r, and if the solid be incompressible SV<r = 0 (3). Thomson...insight gained by the simplicity of the present method. 475. Thus, if S<rSp = 8 -_, , we may write each equal to This gives <r = - V =- , TP the vector-force... | |
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