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THE

TUTOR'S GUIDE,

BEING A

COMPLETE SYSTEM OF ARITHMETIC

WITH

VARIOUS BRANCHES IN THE MATHEMATICS.

IN SIX PARTS, viz.
1. Arithmetic in all its useful To which is added, the Specific

Rules, and to each a great Va Gravity of Metals, &c.
riety of Questions.

V. Chronology, or the Method
II. Vulgar Fractions, in all their of finding the several Cycles,
Parts.

Epacts, Moveable Feasts, Time
III. Decimal Fractions, with the of High Water, &c.; with a

Extraction of Roots of different Collection of Questions relating
Powers; to which are added, to History; likewise all the
Rules, &c. for the

easy
Calcula

most useful Examples on both
tion of Interest and Annuities, the Globes.
&c.

VI. Algebra, wherein the Method
IV. Mensuration of Superficies and of raising and resolving Equa-

Solids, applied to measuring Ar tions is rendered easy, and illus-
tificers' Works, &c.with a Collec trated with a Variety of Exam.
tion of Questions for Exercise. ples and Numerical Questions.

TO WHICH IS ADDED,

AN APPENDIX,
CONTAINING DIFFERENT FORMS OF ACQUITTANCES,

BILLS OF EXCHANGE, &c. &c.
The whole being designed for the Use of Schools, as a QUESTION Book,

or a REMEMBRANCER and INSTRUCTOR to such who have some
Knowledge of Figures; and is adapted for the Use of the Gentleman
and Scholar, as well as of the Man of Business : And is recommended
by several eminent Mathematicians and School-masters.

BY CHARLES VYSE,

AUTHOR OF THE YOUNG LADIES AND GENTLEMEN'S NEW GUIDE

TO THE ENGLISH TONGUE, &c. &c.

THE THIRTEENTH EDITION CORRECTED.

PHILADELPHIA:

PRINTED BY JOSEPH CRUKSHANK,
AND SOLD BY P. BYRNE, M. CAREY, T. & W. BRADFORD,

JAMES CRUKSHANK, T. DOBSON, KIMBER,
CONRAD, & Co. AND JOHN MÍCULLOCH.

The MONTHLY Review, gives the following

Stocount of the first Edition. « The best Method of conveying Instruction is derived from Experience ; and though the Author of the Tutor's Guidó does not pretend to boast of new Discoveries, yet it must be allowed that he has selected a great Variety of necessary and useful Rules for the obtaining a thorough Knowledge in those Sciences which depend upon Arithmetic : and his Book will be found particularly useful in this Respect, as it contains a very considerable 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 surpass the Capacity of young Scholars : but this Circumstance is no just 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. Vyse'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 Aco.

count.

“ Notwithstanding there are many Books already extant, upon the same Subject, yet we apprehend that the Work before us will not be deemed either unnecessary or impertinent, after having assured our Readers it is recommended to the Favour of the Public by one of the most considerable Mathe. matical Writers of the present Age."

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THE

PREFACE.

She 68-81-10

WHEN we consider the Utility of ArithMETIC, on which Science almost all the others do absolutely depend, we need not be surprised that so many Efforts have been made to bring this useful Branch of Learning to the utmost Degree of Perfection: and although the vast Extent of the Subject does in some Measure defeat these Attempts, yet, upon Account of its real Value and Use, 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 concise a Manner as I possibly could, so as to make them general; and they follow in the same Order as specified in the Table of Contents. Thus, Book the first contains the Four primary Rules, i. e. Addition, Subtraction, Multiplication, and Division, in Integers; and Reduction, ascending and descendingwith the Tables of Money, Weights, Measures, &c. with which the Pupil should be well acquainted, before he proceeds to the Use of those Rules in Compound Numbers.

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