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The Areas of these Fields are as follow:

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A few Explanatory Remarks are Annexed, which may be useful to the Beginner.

DIAGRAM. No.

1-Has merely a common base AB, and two triangles. No. 2 has also these, and in addition two check lines. No. 3 has the base AB, and a triangle upon it, on the one side; and a triangle upon a portion only of the other. No. 4 is very simple. No. 5 differs from any of the preceding. In taking the measurements in the field, the lines AB, BC, CD, and DA, are measured in succession all round, DE being taken last; this is done to save going over the ground twice, but in plotting it, the reverse must be adopted :-Draw AB, marking off the AE 4.73 chs. upon AE, construct the triangle ADE, AD, being 3.08 chs., and DE 3.72 chs.; then the point D becomes fixed in relation to B; from D, as a centre, at the distance DC, 6.66 describe an arc, and from B, at the distance BC, 5.50 describe another arc, and from C, their point of intersection, join CD, CB.

No. 6 has a base AB, and a simple triangle upon its left side. On the right side, upon AD, a portion of the base, construct the triangle ACD, from C; at the distance 2.67 (CE) describe an arc, and from B, at the distance 3.46 (BE) describe another; join CE and EB: EF 2.62 chs. is a check line.

No. 7 has a base AB, with a triangle upon part of it, on one side, and a check line from the triangle to the point B, required for taking offsets to the hedge, and having two smaller triangles upon the other side of the base line. No. 8 has a base line AB, with a triangle upon each side, and a

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