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EXAMPLE 2.

In a survey of which the following are the field-notes, the bearing and distance of the last side were not taken on account of obstacles in the way; but depending on the acof the others, it is required to find them and the area of the survey.

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With the given bearings and distances find their corresponding latitudes and departures, and what they want of balancing will be the difference of latitude and departure of the closing line. The area may then be found as in the preceding examples.

By Rule 3.

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With the difference of latitude and departure of the closing line, its bearing and distance may be found as in the preceding example. Thus,

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The bearing and distance of the last side is therefore

S. 60° 8' W. 12.27 ch.

EXAMPLE 3.

In a survey, represented Fig. 81, the corner at A was inaccessible, occasioned by the overflowing of water, but being a tree, it can be seen from the adjacent corners B and L. I therefore set my instrument at B and took the bearing to A, which I reversed, and set in my field-book as the first bearing. I then proceeded to take the bearings and distances of the several sides to L; and at L, I took the bearing of the side LA. The field-notes being as follow, the length of the sides AB and LA, and the area are required.

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By taking the difference of latitude and departure for each of the sides BC, CD, DE, EF, FG, GH, HI, IK, and KL, and balancing, we shall have the difference of latitude and departure of LB, with which its bearing and distance may

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To tang. of the bearing of LB, S. 78° 49′ W.

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Now, having the bearings of the lines AB, LB, and AL, the angles contained by them may be found by the rules given page 34. Then in the triangle ALB, all the angles and one side LB will be given to find the other sides AB and LA.

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