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Answer.

Having constructed the figure, you find one of the perpendiculars = 168, and the other 218 links; hence the area is 1a. 2r. 6p.

8. It is required to lay down a field, and find its area, from the following notes; neither of the diagonals having been measured in consequence of obstructions.

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Having constructed the figure, you will find the diagonal BE = 1927, and the perpendiculars = 580 and 637 links respectively; hence the area is 11a. 2r. 36p.

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9. the plan and area of a field are required from the following dimensions.

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Having constructed the figure, you will find the perpendiculars

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Double areas

2626140 trapezium ABCD

137945 offsets taken on the line AB

167800 ditto on the line BC

157520 ditto on the line CD

395420 ditto on the line DA

3484825 sum

Area 17a. 1r. 27 Sp.

PROBLEM III.

Fields of more than Four Sides.

When a field consists of more than four sides, divide it into triangles and trapeziums, agreeably to the directions given in Part III., Prob. V. Then take the dimensions of each, as directed in the last two problems.

NOTE. Notwithstanding what has already been advanced with regard to taking proof-lines, you are again requested never to omit measuring such distances as will enable you to confirm every part of your survey. Some may perhaps deem this tedious and superfluous; but the satisfaction which a surveyor finds, when his lines meet correctly, fully compensates him for his additional labour.

Examples.

1. It is required to find the area of a field from the following

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Having constructed the figure, you will find the perpendiculars ca = 410, Aa = 330, and Da= 215 links.

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