THE TUTOR'S GUIDE, BEING A Complete System of Arithmetic ; WITH Various Branches in the MATHEMATICS. IN SIX PARTS, VIZ. I. Arithmetic in all its ufeful Parts. III. Decimal Fractions, with the Solids, applied to measuring Arti- To which is added, the fpecific V. Chronology, or the Method VI. Algebra, wherein the Method of raifing and refolving Equations is rendered eafy, and illuftrated with Variety of Examples and Numerical Questions. TO WHICH IS ADDED, AN APPENDIX. Containing different Forms of Acquittances, Bills of Exchange, &c. &c. The whole being defigned for the Ufe of Schools, as a QUESTION BOOK, or a REMEMBRANCER and INSTRUCTOR to fuch who have fome Knowledge of Figures, and is adapted for the Ufe of the Gentleman and Scholar, as well as for the Man of Bufinefs: And is recommended by feveral eminent Mathematicians and School-mafteis. The SIXTH EDITION, corrected and improved, with Additions. By CHARLES VYS E, Author of the Young Ladies' and Gentlemen's New Guide to the English Language, &c. and Mafter of the Academy at West Ham Abbey, Effex. LONDON: PRINTED FOR G. G. J, AND J. ROBINSON, PATER-NOSTER-ROW. MDCCLXXXV. The MONTHLY REVIEW, for January 1771, gives the following Account of the first Edition. "The best Method of conveying Inftruction is derived from Experience: and though the Author of the TUTOR'S GUIDE does not pretend to boaft of new Discoveries, yet it must be allowed, that he has felected a great Variety of neceffary and useful Rules for the obtaining a thorough Knowledge in thofe Sciences which depend upon Arithmetic: And his Book will be found particularly useful in this Respect, as it contains a very confiderable Number of Questions to exemplify the Rules he has laid down, and to exercise the Attention of the Learner.-Many of them may be thought to furpass the Capacity of young Scholars; but this Circumstance is no juft Objection against the Book itself; it rather recommends the Work to an after Review, when the Understanding is enlarged and ripened. The Plan and Execution of Mr. Vyfe's Performance do Honour to his Judgment and Application, and entitle it to the general Notice of those who are entrusted with the Education of Youth." The CRITICAL REVIEW gives the following Account. "Notwithstanding there are many Books already extant, upon the fame Subject, yet we apprehend that the Work before us will not be deemed either unnecessary or impertinent, after having affured our Readers, it is recommended to the Favour of the Public by one of the most confiderable Mathematical Writers of the present Age." 9-10-35 may TO THE MR. VYS E, REVEREND Archdeacon of SALOP, Canon Refidentiary of the Church of LICHFIELD, WHEN HEN we confider the Utility of ARITHMETIC, on which Science almost all the others do abfolutely depend, we need not be furprised that so many Efforts have been made to bring this useful Branch of Learning to the ut most Degree of Perfection: and although the vaft Extent of the Subject does in fome Measure defeat these Attempts; yet, upon Account of its real Value and Ufe, it certainly merits all the Study and Pains that can be bestowed upon it. In the following Pages I have delivered the Definitions and Rules in as brief and concife a Manner as I poffibly could, fo as to make them general; and they follow in the fame Order as specified in the Table of Contents: Thus, Book the First contains the four primary Rules, i. e. Addition, Subtraction, Multiplication, and Divifion, in Integers, and Reduction, ascending and descending, with the Tables of Money, Weights, Measures, &c. with which the Pupil fhould be well acquainted, before he proceeds to the Use of thofe Rules in Compound Numbers. In Book the Second, the Rules follow in the fame Order in which they are generally taught A 3. in |