Engineering Mathematical Sciences Library QA PREFACE I DO not much like the idea of writing a preface, but I feel myself obliged to say a few words on the publication of what I have called a treatise, the term being very likely a misnomer. Although my subject is Curve-tracing and not Curves, I am aware that some complete branches of this art are not alluded to at all. The student might expect, in a treatise upon this subject, to find methods of drawing Polar Curves, Rolling Curves, Loci of Equations inT rilinear Coordinates, and Intrinsic Equations; he might also expect to find interesting Geometrical Loci discussed; these, and many other things immediately connected with the tracing of curves, have been deliberately omitted, for reasons which I consider good. A treatise, if I had ventured upon it, at all comparable in exhaustive qualities with the excellent one of Salmon on Curves of Higher Orders, would have demanded, on the part of the student, far more extensive reading than I suppose him to possess; such a treatise would have required an advanced knowledge of Differential and Integral Calculus, of Higher Algebraical processes which do not appear in elementary treatises on A lgebra, and of the science of projections, to understand which involves a familiarity withS olid Geometry, beyond the standard to which I have supposed the student to have attained.
(Typographical errors above are due to OCR software and don't occur in the book.)
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