 
    Nil THE EDITORS PREFACE. ST he immensecirciilatioii of Walkingame sT utor sA ssistant. even inT tiT original form, is sufficiently evinced by the very extensive and uniformly increasing demand which the Proprietors of the present Edition have for many years experienced. To advance the utility of a work held in such high estimation among Conductors of Schools; by simplifying the Rules, correcting and modernizing the antiquated phraseology, supplying deficiencies where there was a paucity of Examples, and incorporating with its original matter such emendations and additions as appear to be called for by the present improved state of Arithmetical Science; will, it is presumed, be rendering an acceptable service to the Public. A mongst the various improvements introduced in this Edition, may be enumerated, a more intelligible elucidation of the system of Notation; of Direct, I nverse, and Compound Proportion, Practice, I nterest, Progression, c.; more perspicuous illustrations of the theory and practice of Vulgar and Decimal Fractions, Evolution, Duodecimals, c.; the substitution of the new Arithmetical and Commercial Tables; the insertion of many additional Examples (particularly in the elementary Rules) adapted to exercise and improve the judgment of theL earner; also of Rules for the particular cases in Profit and Loss, of I nvolution, ofT heorems for the solution of all the possible cases in Arithmetical and Geometrical Progression, Superficial Mensuration, a number of useful Supplemental Questions, and aC ompendium of Book-K eeping. Such are the attempts that have been made to enhance the real worth of this popular Treatise on A rithmetic. How far the intention may have been judiciously or successfully executed, must be left to a candid Public to determine. AV ith a confident reliance, however, on the favourable consideration of those whose judgment and exp
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