Elements of Natural Philosophy, Part 1In 1867, Sir William Thomson (later Lord Kelvin) and Peter Guthrie Tate revolutionised physics with the publication of their Treatise on Natural Philosophy, in which they demonstrated the centrality of energy conservation to systems of dynamic movement. Popularly known as 'T&T' for its authors' initials, the Treatise became the standard textbook on natural philosophy, introducing generations of mathematicians to the 'new energy-based dynamics'. In Elements of Natural Philosophy (1873), they distil the portions of the Treatise not requiring higher calculus into a primer suitable for use in university courses. The first half covers the basic principles of kinematics and dynamics, including the motion of points, lines, and volumes, while the second half concerns questions of 'abstract dynamics', including particle attraction. The result of one of the most important collaborations in modern physics, this book remains a thorough introduction to the major principles of Thomson and Tait's larger work. |
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acceleration according acting action amount angle angular applied attraction axes axis becomes body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable represented respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire