Excerpt from Of Motion: An Elementary Treatise
My object in the following pages has been to put forth the principles of the Science of Motion in their true geometrical form, postponing the consideration of force (the properties of which are presumed to have been fully investigated in Statics) until the reader may be able to separate in his mind the geometrical ideas from the mechanical. To the fact that these ideas are not kept separate at the outset I apprehend that the want of clearness in the student's mind about the real investigation that does take place in any case may be attributed.
Until a comparatively recent period all works on this subject have been concerned with answering the question, Given the force acting on any body, how will it move? But how a motion is to be estimated, which of course is a preliminary question that should be fully investigated, on this point very little has been said. The first book, I think, in which the geometry of Motion was formally treated of, separate from the cause, was Griffin's Dynamics of a Rigid Body; this of course could not be referred to till the elements of the subject had been mastered.
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