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Rh face, a full list of their Authors; arranged in the alphabetical order of the Signatures by which their respective contributions are distinguished.

The Articles belonging to the obviously claim the first place, as well as the fullest description, in this Outline. In noticing them, the Editor shall first advert to those which range under the Mathematical and Physical Sciences; next, to those on the Arts and Manufactures dependent on, or connected with these Sciences; and lastly, to those relating to the Philosophy of the Mind, and Political Philosophy.

As the Encyclopædia is more complete in the department of Pure Mathematics than in many other branches of knowledge, it would have been improper, though much was still found wanting, to assign any considerable portion of the present work to that department. Room has, however, been made for several Mathematical articles.

Arithmetic forms the subject of an article of considerable extent; containing, not a mere statement of rules, but a philosophical exposition of the principles of numerical processes, and of the steps by which mankind advance in the acquisition of the art of computation. This article was written by Professor Leslie; to whose assistance, in a preparatory stage of the work, the Editor has already had occasion to allude; and to whom the present department is farther indebted for the articles Angle, and Trisection of an Angle. The doctrine of Equations, already partly discussed in the Encyclopædia, under Algebra, is here reconsidered in a distinct article; containing a view of the present state of knowledge upon the subject, and some new solutions of problems hitherto attended with difficulty; particularly in that part of it which relates to Gauss’s theory of Binomial Equations. This important article was contributed by Mr Ivory. Under the term Differential Calculus, Sir Edward Ffrench Bromhead has given a systematic view of the subject in its latest form. Under the term Fluents, or Integrals, the fluents of such expressions as are the most likely to occur in the solution of physical problems, are arranged in the form of a Table, by Dr Thomas Young; to whose profound and accurate knowledge, rare erudition, and other various attainments, this work is largely indebted in almost every department which it embraces.