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SUBSCRIBERS NAME ::
Mr. Richard Easterby. Mr. Edward Insh.
Mr. Robert Edwards.

Mr. Thomas Jones.

Master James Lazenby.
F
Mr. John Fenwick.

K
Mr. Robert Fretchwell. Mr. James Knox.
Mr. Job Forest.

Mr. Thomas Kible.
Mr. Jacob Foller.
Mr. Thomas Finch William.

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Mr. Thomas Fitzwalter. Mr. Robert Lowe.

Mr. Robert Lee.
G

Mr. Robert Low.
Mr. John Gilbert.

Mr. John Lyell.
Mr. George Glede.

Mr. John Lambert.
Mr. George Grover.

Mr. John Lawrence:
Mr. Samuel Green.

Mr. Charles Langran.
Mr. William Graham.

Mr. Luke Larkin.
Mafter William Godfrey.

Mr. David Lawder.
Mr. John Goulding.

M
H

Mr. William Marftin.
Mr. Gilliade Hamlet.

Mr. Peter Monday.
Mr. William Hamilton. Mr. John Mathews:
Mr. Thomas Harper.

Mr. John Matchet.
Mrs Haynes.

Mafter Thomas Moore
Mr. Samuel Holland.
Mr. William Hutham.

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Mr. Thomas Hutchins.

The Rev. Mr. Michael Nolet.
Mr. John Haynes.

Mr. William Newby.
Mr. Charles Hynds.

Master John Nicholls.
Mr. James Haynes.
Mr.
Hartforth.

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Mr. William Henderson, Mr. John Osbourn.
Mr. James Huthan.
Mr. William Hill.

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Mr. Charles Hughes, M. A. Mr. Robert Philp.
Mr. John Harvey.

Mr. John Padmore.
Mr. James Hilton.

Mr. Thomas Parr,
Mr. George Hall.

Mr. Thomas Phillipson.
Mr. Thomas Hall.

Mr. Joseph Padmore.
Mr. John Hinton.

Mr. Benjamin Prince,
Mr. George Hall.

Mr. Richard Pierce.
Mr. John Heard.

Mr. John Powell.
Mr. William Holinsworth.

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I

Mr. James Rannie.
Mr. John Jongs.

MI.

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SUBSCRIBERS NAME S. Mr. - Robinson.

Mr. Thomas Tranter, Mr. Robert Rea.

Mr. William Thane. Mr. Moses Ringrose.

Mr, John Tate. Mr. Thomas Ready,

Mr. Daniel Taylor. Mr. John Robertson.

Mr. William Templeman. Mr. John Robinson.

Mr. Joseph Tate. Mr. Mungo Rannie.

Mr. Charles Trotter. Mr. Tho. Read, School Master

V Master James Rule.

Mr. James Valentine.
Mr. John Roberts.

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S

Mr. Roger Whitfeild.
Mr. George Stubbs.

Mr. Samuel Webb. Mr. Spencer.

Mr. William Waite. Mr. John Scholes.

Mr. Thomas Walcon: Mr. Christopher Sauerland. Mr. William Whitaker. Mr. Simon Sealy.

Mr. Samuel Webb. Mr. William Stephenson. Mr. William Webb. Mr. John Stephens.

Mr. John Woolhouse. Mr. Thomas Strother.

Mr. Robert Wild: Mr. Sharp.

Mr. James Wheeler. Mr. John-James Short. Mr. John Williams. Mr. Ephraim Smith.

Mr. William Woodhouse. Mr. Loft-Anthony Stedman. Mr. Samuel Williams. Mr. James Shepherd.

Mr. Truberville Wainright. Mr. Bernherd Shellhause. Mr. John Swallow.

Y Mr. David Swinscow.

Mr. James Young. Mr. Joseph Standisha

Mr. Charles Yates.
Mr. Richard Snow.

Mr. John Young
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Mr. William Yeates.
Mr. John Thornton.

P R E F A C E.

A

Great many have wrote upon this Subject, and most have met with deserved Success ; but how

far this may merit the same, Time alone must determine. I only wish it may meet with impartial, Judges, who will undoubtedly give it a Character equal to its Deserts, and then I bave Reason to believe it will answer the End designed ; that is, to be a Guide to them that want to attain a Knowledge of those useful and entertaining Studies, and an agreeable Companion for such as have made fome Progress in them. The fundamental Rules of Arithmetic are laid down fo plain, that the meanest Capacity, with a little Application, may understand them, and when I come to the Rule of Three, I make use of a few Charakters which the Reader may soon be Master of į and then may proceed with Pleasure. What Rules are omitted, bave their Dependence on the Rules of Proportion, which are fully explained; and as most Questions in PraEtice are done with much Ease and Certainty, by the Multiplication here made use of ; I hope the Want of tbem will be no Defect. I have very plainly and intelligibly delivered the Algebraical Part, and exemplified the Rules with a Collection of Questions, answered in a plain and familiar Manner. I have not notified in the Margin when you are to makeUse of a Step, or an absolute Number ; but the Step following will determine which it is.

I have taken Care to keep this Treatise as free as possible from the Errors of the Press; but if there should be any, I hope the Reader will correal and excuse them. The Questions are mostly answered numerically, being the most easy way to initiate the Use of Algebra to Learners, which when understood, they may use the literal Way with Pleasure.

5

NUMERATION

T

Eaches to place, or give the juft Value,

to any Number demanded ; to do which, observe the following Table.

The T A BL E,

I Units.
2 I Tens.
3 2 I Hundreds.
4 3 2 1 Thousands.
5 4 3 2 1 T. of Th.
6 5 4 3 2 1 C. of Th.
7
6

5 4 3 2 1 Millions.
5 4 3 2 1

T. of Mi.
9 8 7

6

5 4 3 2 1 C. of M.

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8 7 6.

9 8 7 6 5 4 3 2 1

In the Table above you see how each Place exceeds the former ten times, increasing towards the left Hand. The first is the Place of Units, the second of Tens, the third of Hundreds, &c.

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A D D IT ION Is the gathering several Numbers into one, which is then called the Sum or the Aggregate ; as 6 and

8 are 14.

Addition begins at the right Hand, and adds the particular Sums of the several Rows underneath every one in its own Place.

EXAMPLES.
Ex. ifti Ex. id.

Ex. 3d.
2 7 4 3
2 4 3 5

2 3 7 4
I 4 3 7
5 4 2 7

5
6

I 5
6 5 E 4
6 2 I 4

8 7 3 1
3 2 1 5 3 7 I 5

6 4 2 5 6 7 3 2 7 2 I 4 7 4 3 I 5 4 7 5 3 74 6

5 7 6 2

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In the first Example, the Sum of the first Row is 26; 1 place down the 6 under itself, and carry 2, being the Number of the Tens to the next Row, and find the Sum of it to be twenty, then I place down a Cypher, and carry two to the next Row, and find the Sum to be 31. I place down the 1, and carry 3 to the last Row, and the Sum is 30, which I place down, and it is done. And fo of the rest.

Addition

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