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ARITHMETICAL

COLLECTIONS

AND

IMPROVEMENTS.

BEING

A COMPLETE SYSTEM

OF

PRACTICAL ARITHMETIC,

BY

ANTHONY and JOHN BIRKS,

Late Mafters of a Boarding-School at Gosberton, and now
of the Free Writing-School at Donington, Lincolnshire.

LONDON:

Printed for, and fold by the AUTHORS; alfo by Meff, HAWES,
COLLINS and CLARKE, at the Red Lion, Pater-nofter-
Row; and Meff. HOLLINGWORTH, Bookfellers, at Lyn-
Regis, Norfolk.

MDCCLXVI.

Wheldon 16-12-31 24463

TO THЕ

RIGHT HONOURABLE

The Lord BROWNLOW BERTIE,

One of the Representatives in Parliament for the County of LINCOLN, &c. &c.

MY LORD,

TH

HE utility of the science treated upon in the following fheets, must be well known to your Lordship, who has so often been a witness of the advantage and uncommon weight, arguments drawn from arithmetical computations carry with them in that house, whereof you are fo worthy a member; fo that if this performance be found equal to the usefulness of the subject, it may juftly bè entitled to your Lordship's patronage.

Your affiduity in parliament for promoting the drainage of, and making roads through a lately inundated, though rich country, is and will be of fuch great benefit, that fucceeding ages, as well as the present, must reap the advantage of

A 2

thefe

these falutary works, and posterity bless the time when a BERTIE graced the British senate.

That your Lordship may ftill fucceed in promoting the good of your native country, and long live the great ornament thereof, is the hearty wish

of,

My LORD,

Your Lordship's

most obedient and

moft humble Servants,

The AUTHORS,

PREFACE.

T

HE book here prefented to the world is a regular fyftem of common arithmetic, adapted to the ufe of the gentleman and the scholar, as well as the man of business.

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NUMERATION, and the next four general rules, are enriched with many compendious methods and examples; and the rules of Practice very copious and extenfive.

The doctrine of Vulgar Fractions is here rendered more easy, concife, and useful, by the means of an easy axiom; Decimals are pursued through all the late improvements, in the management both of plain and circulating numbers; and the Extraction of the Roots, particularly the Cube, is done in a more eafy manner than in any book of arithmetic, which has ever yet come under our inspection.

BOOK II.

In which Proportion is treated on in a scientific manner, and adapted as well to the use of the young mathematician, as together with the rules of Practice applied to all branches of business;

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and

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