In English measure, 2500 fquare links are equal to 1089 fquare feet; therefore, as 1089 is to 2500, fo is any number of square feet to the fquare links.

5. When the dimenfions of a field are taken in feet, and the area computed in fquare feet; to reduce them to Scots acres. Divide the square feet by 9.50694, the quotient is fquare ells; divide the ells by 36, the quotient is falls; divide the falls by 40, the quotient is roods; and divide the roods by 4, the quotient is

acres.

6. To reduce fquare feet to English acres. Divide them by 9, 30, 40, and 4, the quotients are fquare yards, poles, roods, and acres.

EXAM. What is the area of a rectangular space of ground, whofe length is 596 feet, and breadth 156 feet, in Scots and English acres?

596×156=92976 square feet. 9.50694)92976.00000(9779 fquare ells.

36)9779(271 falls.
remainder 23..

40)271

4)6 31

2. How many Scots acres are there in a fquare field, each of its fides being 716 feet?

Anf. 9 acres, 1 rood, 18 falls, 35 ells.

3. How many English acres are there in a square field, its fide being 596 feet?

Anf. 8 acres, 24 poles.

4. What is the area of a rectangular field, its length being 598 feet, and breadth 386 feet, in Scots and English acres?

Anf. 4 acres, 34 falls, 33 ells, Scots; and

5 acres, I rood, 7 poles, 25 yards, English.

5. It is required to find the area of a rectangular field in Scots acres ; its length being 374 ells, and breadth 275 ells?

Anf. 17 acres, 3 roods, 16 falls, 34 ells.

6. Fig. 57. What is the area of a field in form of an oblique angled parallelogram, whofe longest fide is 2368 links, and the perpendicular falling from the oppofite angle upon that fide 1648 links of the Scots chain; the acute angle of the parallelogram being 63° 30' ?

Anf. 39 acres, o roods, 3 falls, 33 clls.

7. Fig. 31. What is the area of a triangular field, whofe bafe is 2896 links, and the perpendicular falling upon it from the oppofite angle 1896 links of the English chain?

Anf. 27 acres, I rood, 32 poles.

8. What is the area of a triangular field whose base is 1768 links, and the perpendicular distant 795 links

from

from the nearest extremity of the base, is 1674 links of the English chain?

Anf. 14 acres, 3 roods, 7 poles.

9. What is the area of a triangular field, whose three fides are 2464, 1968, and 1764 links of the Scots chain?

Anf 17 acres, 33 falls.

10. Fig. 58. What is the area of the quadrilateral field ABCD, whofe diagonal BD=3096 links, the fide AB=1976 links, BC=1760 links, CD=2016 links, and DA=2340 links?

Anf. 39 acres, 3 roods, 5 falls.

11. What is the area of a field of five fides, (Fig. 59.) the fide AB being 1740, BC=1500, CD=1520, DE≈ 1480, and EA=1600 links; also the diagonal AC= 2460, and AD=2200 links?

Anf 41.23654 fquare links, or 41 acres 37 poles.

12. To measure a polygonous field, such as ABCDEF, by the chain. Fig. 62.

Having walked over, and taken a view of the field, draw a random, or eye draught of it, in which draw proper diagonals.

Measure all the fides and diagonals with the chain, and the whole field is divided into triangles; in each of which all the fides are known from whence their areas may be found, and confequently the area of the whole field.

EXAM. Let AB=2175, BC=1925, CD=1275, DE =1075, EF=1575, FA=1725, AC=3715, FC=4085,

and FD=3025 links of the Scots chain; what is the area of the field ?

Anf. 69 acres, I rood, 33 falls.

8. To furvey a field, by measuring every angle and fide. Fig. 63.

Begin at fome convenient angle, which call your first station, and mark it in your field-book thus, o3.

Having chofen your first station, place poles in proper places, and measure the angle at this station; which write in your field-book below the former character. When you begin to measure the fides with the chain, proceed with your left hand to the dyke, or boundary of the field; and, if the line which you measure does not coincide with the fide of the field, you must meafure the distance between them at proper places; thefe distances are called offsets, and must be entered in your field book; and over against them, in the proper column, write down the diftances from the beginning of the line you are then measuring.

In the fame manner, measure every angle and fide, until you have gone round the whole field, and are arrived at your firft ftation.

To know if the angles have been measured truly. From twice the number of fides of the field, fubtra& 4, and multiply 90° by the remainder. Add together the angles of the field, as they ftand in your fieldbook; and, if the fum be equal to the product, they have been truly measured.

If there be any confiderable difference, fuch as a degree or more, it must be corrected by measuring the angles again.

FORM