mileo 1-3-23 92553 . TO THE RIGHT HONOURABLE 18 Dec.23 EH Τ Η Ο Μ Α S, Earl Marshal of ENGLAND, &c. T Right Honourable, Kind of Learning, and in particular to the Mathematics, makes me adventure to present your Lordship with this Tractate of Arithmetic; because that Art, compared with other Mathematical iences, is as the Primum Mobile, in refpect of the other inferior Orbs : For as the Poets used in Times past to say of Venus, Sine Cerere Baccho, friget fo I also confidently aver: of Venus; of them, without Arithmetic, they are poor, and without Motion. Presuming therefore that your Lordship, loving the Art, cannot disaffect the Artist, nor his Intention to do Good in that Kind; I am bold to shelter this TREATISE under your Lordship’s Protection, humbly entreating your gracious Acceptation, and earnestly desiring for ever to remain, Your Honour's, in all Service, Affe&tionately Devoted, 'HE many Editions this work has gone through, and the Reputation it has deservedly maintained for up wards of 120 Years, would undoubtedly have been Authority sufficient for the Publication of this Edition, without any Alteration from the former : But as several Arithmetical Improvements, both in Theory and Practice, bave appeared since this Treatise received the last Hand, it bas been thought convenient to insert them in this Edition, togetber with some which have not been published before. The first Edition of Wingate's Arithmetic was printed about the Year 1629, by himself; in which his principal Design was to obviate the Difficulties which ordinarily occur in the using of Logarithms : To perform this, be divided bis Work into two Books ; the first be called Natural, and the second Artificial Arithmetic. Tbe Basis on which the present Structure has been, at different Times, reared is the first of those Books. For after the first Impression of the above two Books were disposed of, Mr. Wingate (not having Leisure to revise the same, and to supply fome Defeats which too striet an Attention to his Design, viz. that of explaining the Use of Logarithms, bad occasioned) requested Mr. John Kersey, an able Mathematician, to undertake the same. Accordingly Mr. Kersey (in several Editions) made many Improveinents, 2 Improvements, which take in his own Words, as they stood in his Preface to the former Editions. “ First, For the Ease and Benefit of those Learners, “ that defire only so much Skill in Arithmetic, as is “ useful in Accompts, Trade, and such like ordinary “ Employments ; the Doctrine of whole Numbers, “ (which, in the first Edition, was intermingled with " Definitions and Rules concerning broken Numbers, “ commonly called Fractions,) is now entirely handled a-part. And to the end the full Knowledge of Prac« tical Arithmetic in whole Numbers might more " clearly appear, I have explained divers of the old “ Rules in the first five Chapters, and framed a-new " the Rules of Division, Reduction, and the Golden“ Rule, in the sixth, seventh, eighth, and ninth Chap“ ters: So that now, Arithmetic in whole Numbers “ is plainly and fully handled before any Entrance be “ made into the craggy Paths of Fractions, at the Sight “ of which some Learners are so discouraged, that they “ make a Stand, and cry out, Non plus ultra, There's no Progress farther. Secondly, To assist fuch young Students as would lay a good Foundation for the attaining of a general Knowledge in the Mathematics, I have in a familiar « Method delivered the entire Doctrine of Fractions, “ both Vulgar and Decimal, which was omitted in the “ first Edition; and have also newly framed the Ex“ traction of the Square and Cube-roots, in a Method “ which by Experience is found to be much easier than " that commonly used heretofore, and is exactly suit" able to the Construction or Composition of Square " and Cube Numbers. “ Lastly, I have added an Appendix, furnished with “ Variety of choice and delightful Knowledge in Num“ bers, both Practical and Theoretical." But as Mr. Kersey has omitted to enumerate the Particulars of which his Appendix confifted, the Editor has A 2 bere |