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pleted. Then, with A as a centre, and 496 links in your compasses as a radius, describe an arc; and with C as a centre, and 1326 as a radius, describe another arc, intersecting the former in b.—Through b draw the diagonal C E = 1666 links; upon which, at 573 links, erect the perpendicular c D = 376 links. Join C D, D E, and E A, and the figure will be completed.

NOTE.

If the learner fully comprehend the above construction, he will not find it difficult to lay down the figures belonging to the following examples; as the same process will succeed in all similar cases.

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2. Lay down a field, and find its area, from the following dimen

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3. Required the plan and area of a field, from the following dimen

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4. Lay down a field, and find its area, from the following notes.

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Answer.

Double areas.

1468656 Trapezium A B D C.

1829420 Trapezium D E F B.

Whole area 16a. 1r. 38p.

5. Draw a plan of a field, and find its area, from the following dimensions.

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A field consisting of five, six, seven, or more sides, may sometimes be surveyed by measuring one diagonal, and upon it erecting per pendiculars to all the opposite angles, on each side. This process will divide the whole field into right angled triangles, and trapezoids, the areas of which must be found as before.

EXAMPLES.

1. Lay down a field, and find its area, from the following notes.

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