MADE PERFECT;

OR, THE

Management of Infinite Decimals

DISPLAY E D.

Being the Whole Doctrine of the Arithmetic of Circulating
Numbers, explained by many New and Curious Exam-
ples in ADDITION, SUBSTRACTION, &c. Of all
which the last Age was entirely ignorant, but now made
Eafy and Familiar to the meaneft Capacity. With
proper Demonftrations to illuftrate the Whole; in a
Manner hitherto Unattempted, or at least not Published
by any Author.

To which is Prefixed,

An HISTORICAL INTRODUCTION, fhewing the Progress and
Improvements made therein by its feveral Authors, from
the very First Attempt down to the Prefent Time.

With LARGE TABLES annexed to compleat the Whole.

AND AN

APPENDIX,

CONTAINING

The ARITHMETIC of the Five Primary RULES in
Decimal Fractions, as commonly Taught.

By JOHN MARSH, Writing-Mafter, and Accomptant,
in the City of Sarum.

LONDON:

Printed for the AUTHOR; and Sold by EDWARD EASTON,
and BENJAMIN COLLINS, Bookfeliers in Sarum; and JOHN
and PAUL KNAPTON, in Ludgate-Street, London. 1742,

TO THЕ

RIGHT HONOURABLE

HENRY

EARL of

PEMBROKE and MONTGOMERY,

One of His MAJESTY'S most Honourable Privy-Council, &c.

AND

Lord High Steward of the City of NEW-SARUM.

As a great Encourager of ARTS and SCIENCES, This TREATISE,

OF

DECIMAL ARITHMETIC made Perfect,

Is, with all Humility, moft humbly Presented and Dedicated,

BY,

My LORD,

Your Lordship's

moft obedient Servant,

J. MARSH.

8-2-45 CKH

griple 1-11-45 51247

THE

PREFACE.

I

HAVE in the Introduction and in the followlowing Book faid fo much concerning Infinite Decimals, and the Management of them in Arithmetical Calculations, that I think I may be very justly excufed from making a long Preface. And indeed were it not to have comply'd more with Custom, than with my own Inclination, I should have made none at all. However, to gratify fome Readers by the Way of Prefacing, I chose here to place the following Remarks.

1. The universal Application of Decimal before all other Kind of Fractions to every Branch of Mixt Mathematics, bespeaks their Superlative Excellency, more than all the labour'd Periods of Encomium can poffibly do. Wherefore I am inclin'd to believe, that I fhall be readily excufed, if I fpare myself the Pains of making any on their general Usefulness, or indeed of giving myself the Trouble (by long Harangues) of recommending to my Reader the abfolute Neceffity, that every Arithmetician lies under, of perfectly knowing the most exact Way of managing them.

2. But however, I fhall take the Liberty in this Place to make the following Obfervation; viz. That no Perfon, who is ignoraut of the Arithmetic of InfiA 2 nite