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Excerpt from A Course of Lectures on Natural Philosophy and the Mechanical Arts, Vol. 2 of 2
The fir'st part of thisvolume, consisting Of the mathematical elements of natural philosophy, is in part reprinted from the syllabus of the lectures, but considerable additions have been made to it, both of elementary matter and of original investigations. These elements are pterfectly in dependent of every other work introductory to any branch of the ma thematics, and they comprehend all the propositions which are required for forming a' complete series of demonstrations, leading to every case of' importance that occurs-in naturalphilosophy, with the exception of some of the more intricate calculations of astronomy. It was therefore absolutely necessary that they should be expressed in the most concise manner that was possible; yet except a few propositions which have been cursoril y introduced in some of the scholia, no essential step of a demon stration has ever been omitted. The best use, that a Student'could make of these elements, would be to read over each theorem or problem superficially, then to endeavour to form for himself a more particular demonstration, and to compare this again with that which is here given for the exertion of a certain degree of invention is by far the Surest mode of fixing any principle Of science in the mind.
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