Analytical Geometry, Vol. 2: Containing the Theory of Curves and Surfaces of the Second Order (Classic Reprint) - Tapa dura

Sinopsis

Excerpt from Analytical Geometry, Vol. 2: Containing the Theory of Curves and Surfaces of the Second Order

The importance of this latter problem, in all those appli cations of algebra to Geometry in which a locus is the object of search, must be obvious to the student; and its value in many physical enquiries of the greatest interest will appear, when he considers that the path described by any moving body is always dependent upon those mechanical laws and restrictions in obedience to which it moves; and that, when these governing conditions are expressed in the language of analysis, equations present themselves, in which the form, and extent, and position, of the orbit are all implied. To announce these, however, in ordinary language, we must, of course, be able to interpret the symbolical expressions under which the information is delivered. It is with this business of interpretation that the first two chapters of the present work are occupied; the subject of examination being the general indeterminate equation of the second degree, under every variety of form in which it can possibly present itself.

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