Arithmetick vulgar, decimal, & algebraical. In a most plain and facile method for common capacities. Together with a treatise of simple and compound interest and rebate; with two tables for the calculation of the value of leases and annuities, payable quarterly; the one for simple, the other for compound interest, at 6. per cent. per annum; with rules for making the like for any other rate. To which is added a new, and most practical way of gauging of tunns. As also the art of cask-gauging, for the use of His Majesties Officers of the Excise.

THE RULE OF PRACTICE.

IT is necessary that the Learner get these two Tables perfectly by heart, which are only the aliquot parts of a Pound and of a Shilling.

The Parts of a Shilling.

d.	q.
0	1	Forty eighth.
0	2	Twenty fourth.
0	3	Sixteenth.
1	0	Twelfth.
1	2	Eighth.
2	0	Sixth.
3	0	Fourth.
4	0	Third.
6	0	Half.

The Parts of a Pound.

s.	d.	q.
0	00	1	The Nine hundred and sixtieth.
0	00	2	The Four hundred and eightieth.
0	00	3	The Three hundred & twentieth.
0	01	0	The Two hundred and Fortieth.
0	01	2	The Hundred and sixtieth.
0	02	0	The Hundred and twentieth.
0	03	0	The Eightieth.
0	04	0	The Sixtieth.
0	05	0	The Forty eighth.
0	06	0	The Fortieth.
0	08	0	The Thirtieth.
0	10	0	The Four and twentieth.
1	00	0	The Twentieth.
1	03	0	The Sixteenth.
1	04	0	The Fifteenth.
1	08	0	The Twelfth.
2	00	0	The Tenth.
2	06	0	The Eighth.
3	04	0	The Sixth.
4	00	0	The Fifth.
5	00	0	The Fourth.
6	08	0	The Third.
10	00	0	The Half.

Having these Tables perfectly in memory, any Question propounded will be readily re∣solved, only by dividing the given number of

Yards, Ells, Feet, Inches, Gallons, Quarts, Pounds, or Ounces.

Of which take some Examples.

〈 math 〉〈 math 〉

Having any number of Shillings to reduce into Pounds, cut off the last figure toward the

right hand by a line, and the figures on the left hand of the line are so many Angels as they express Unites; draw a line under them, and take the half of them, and you have the num∣ber of Pounds.

Examples.

〈 math 〉〈 math 〉

Any Commodity, the value of 1 Yard being the aliquot part of a Pound, is thus cast up:

〈 math 〉〈 math 〉

Take the one third part, and that is the An∣swer in Pounds: 3 in 8 twice, and carry 2; 3 in 23 seven times, and carry 2; 3 in 26 eight times, and carry 2; the third part of 2 l. is 13 s. 4 d. where always observe, that the Re∣mainder is always of the same denomination with the Dividend.

〈 math 〉〈 math 〉

Where the Price is not aliquot.

〈 math 〉〈 math 〉

To cast up the amount of any Commodity, sold for any number of Farthings by the Pound,

I borrow from the Dutch a Coin called a Guil∣der, whose value is 2 s. English.

Then if a Question be proposed of the Amount of an Hundred weight of any Com∣modity, by the Hundred Gross, viz. 112 lb. so many Hundred as there be, the Amount is so many Guilders so many Groats, as there are Farthings in the price of 1 lb.

As for Example.

A Hundred weight of Iron is sold for 5 Farthings the Pound, comes to 5 Guilders, that is 10 s. and 5 Groats, which together is 11 s. 8 d.

Again.

A Hundred weight of Lead is sold for 2 d. Farthing the Pound, that is 9 Guilders and 9 Groats, which is 21 Shillings.

But if it be the subtil Hundred, it is then but so many Guilders so many Pence: As if a Hundred weight of Tobacco be sold for 5 d. Farthing the Pound, the Hundred comes to twenty one Guilders and twenty one Pence, that is forty three Shillings and nine Pence.