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To reduce four-pole chains and links, to two-pole ones.

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Double the chains, to which annex the links, if
y be less than 50 ; but if they exceed 50, dou-
the chains, add one to them, and take 50 from
Sinks, and the remainder will be the links, thus,

L.
37 of four-pole chains, how many

two-pole ones?

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Ch. 2. In 8.

2.

Li
82 of four-pole chains, how many
50 two-pole ones?

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To reduce four-pole chains and links, to perches and decimals

of a perch.

The links of a four-pole chain are decimal parts of it, each link before the hundreth part of chain; therefore if the chain and links be multipled by 4, (for 4 perches are a chain) the product will be the perches and decimal parts of a perch. Thus,

Ch. How many perches in 13. chains,

L.
64 of four-pole

4

Answer 54

56 perches,

PROB. IV.

To reduce two-pole chains and links, to perches and decimals

of a perch.

They may be reduced to four-pole ones (by prob. 1.) and thence to perches and decimals (by the last.) or,

If the links be multiplied by 4, carrying one to the chains, when the links are, or exceed 25; and the chains by 2, adding one, if occasion be : the product will be perches, and decimals of a perch.

Thus,

Ch. 1. In 17.

2.

L.
21 of two-pole chains, how many

4 perches.
84 perches.

Answer, 34.

Ch. L. 2. In 15. 38 of two-pole chains, how many

2. 4 perches ? Answer, 31. , 52 perches.

PROB. V.

To reduce perches, and decimals of a perch, to four-pole chains

and links.

Divide by 4, 80 as to have two decimal places in the quotient, and that will be four-pole chains and links. Thus,

In 31. 52 perches, how many four-pole chains and links?

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To reduce perches and decimals of a perch, to two-pote chains and links.

1.

The perches may be reduced to four-pole chains (by the last) and from thence to two-pole chains (by prob. 2.) or,

Divide the whole number by 2, the quotient will be chains; to the remainder annex the given decimals, and divide by 4, the last quotient will be the links. Thus,

In 31.52 perches, how many two-pole chains and links?

Ch. L.
2)31.52(15. 38 Answer,

11

4)152(38

PROB. VII.

To reduce chains and links, to feet and decimal parts of a

foot.

If they be two-pole chains, reduce them to fourpole ones: (by prob. I.) these being multiplied by the feet in a four-pole chain, will give the feet and decimals of a foot. Thus,

Ch. L.
In 17. 21 of two-pole chains, how many feet?

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To reduce

feet and inches to chains and links.

Reduce the inches to the decimal of a foot, and annex that to the feet; that divided by the feet in a four-pole chain, will give the four-pole chains and

links in the quotient: these may be reduced to two pole chains and links, if required, by prob. 2. Thus,

Feet. Inches.
In 217. 9 how many two-pole chains ?

12)9.00.(75 the decimal of 9 inches.

60

66)217.75(3. 29 of four-pole chains, or

197

Ch. I. 655 6. 29

i

61

How to take a Survey by the CHAIN only.

PROB. I.

To survey a piece of ground, by going round it; and the me

thod of taking the angles of the field, by the chain only.

Pl. 6. fig. 6.

Let ABCDEFG be a piece of ground to be surveyed: begioning at the point A, let one chain be laid in a direct line from A, towards G, where let a peg be left, as at c; and again, the like distance from 4 in a direct line towards B, where another peg

is also to be left, as at d: let the distance from d to c he measured, and placed in the field-book, in

U

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