First Sentence:
THE following investigations proceed on the assumption that the matter with which we deal may be treated as practically continuous and homogeneous in structure; i.e. we assume that the properties of the smallest portions into which we can conceive it to be divided are the same as those of the substance in bulk.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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liquid ellipsoid, uniform canal, infinitely small motions, slowest oscillation, irrotational motion, circuit embracing, fixed circular cylinder, permanent translation, equidistant values, homogeneous quadratic function, gravest mode, circulation round, liquid globe, extraneous forces, unit breadth, longitudinal nodes, impulsive pressures, travelling disturbance, secular stability, solid harmonic, varied motion, two similar equations, convective equilibrium, nodal circles, undisturbed level
Key Phrases - Capitalized Phrases (CAPs):
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Bessel's Functions, Lord Kelvin, Natural Philosophy, First Class, Bessel Functions, Motion of Solids, Harmonic Analysis, Comptes Rendus, Aeronautical Research Committee, Analytical Dynamics, Higher Mechanics, Rotating Masses of Liquid, Scientific Papers, Scott Russell, Advanced Rigid Dynamics, Zur Theorie, Adams Prize Essay, Cambridge Tracts, Cylindrical Harmonics, Finite Canal, Gesammelte Werke, Infinite Liquid, Modern Analysis, Perforated Solid, Recent Researches
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