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the sum of the courses, before balancing the columns of lațitude. In the last example, the 3d bearing is due east, and the first term of the several proportions for error in latitude,

was 132.40-21.25=111.15.

In like manner, if a bearing is due north or south, the error in departure is nothing; and the sum of the courses must be diminished by this course, before balancing the columns of departure.

3. Required the content and plot of a piece of land, of which the following are the field notes.

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4. Required the content and plot of a piece of land, from the following field notes.

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5. Required the content and plot of a piece of land, from the following field notes.

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6. Required the area of a survey of which the following are the field notes.

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If, in this example, we assume 1 as the principal station, the double meridian distances will all be plus, and the positive area will exceed the negative.

In balancing we shall find the area in southing to be .28 ch. and in westing .22 ch. The area is 13A OR 11P. It should however be remarked, that in all the examples the

7. What is the area of a survey of which the following are the field notes.

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In this survey 4 is the most easterly and 9 the most westerly station. The area is equal to 110A 2R 23P. It may vary a little, on account of the way in which the balancing is

8. What is the content of a piece of land of which the following are the field notes.

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In this survey 4 is the most westerly station and 9 the most. easterly. The area is 110A 2R 23P. The result may, however, as in the other examples, be slightly varied by the

9. What is the area of a survey of which the following

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To determine the content and boundary of a piece of land, by means of offsets from the principal lines.

145. An offset is a line drawn perpendicular to a course,

and may lie either on the right or left of it.

146. Let ABCDE be a piece of ground to be surveyed. Let us suppose it to be bounded on the west and north by a fence and road, and on the east and south by a creek or river.

Place stations at the principal points, as A, B, C, D and E. Take, with the compass, the bearings from A to B, from B to C, from C to D, from D to E, and from E to A; and measure the distances AB, BC, CD, DE, and EA.

B

N

C

At convenient points of the course AB, as a, c and f, make the offsets ab, cd, fg. Then, having measured these lines, as also the distances Aa, ac, ef and fB, enough will be known to determine the area which lies without the station

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