A Manual of Plane Surveying Confined to Work With the Compass

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A . 6, of the first course is equal to half of its departure, 118 MANUAL OF PLANE SURVEYING.
a b; and also that the longitude, C D, of the second course is equal to c d, which equals the longitude of the first course, plus half the departure of the first course, plus half the departure of the second course, and it may easily be shown that the longitude of any course is equal to the longitude of the preceding course, plus half the departure of the preceding course, plus half the departure of the
... course itself.
( 218 ). It must be borne in mind that the algebraic sum is meant, and that west departures, having the minus sign, are really subtractive.
(219). In order to simplify the rule, and at the same time avoid fractions, it will be preferable to double each of the pre- ceding expressions and use double longitudes. The following will then be the general rule for finding the double longitudes of courses.
The double longitude of the first course is equal to its departure.
The double longitude of the second course is equal to the double longi- tude of the first course -\- the departure of the first course + the departure of the second course.


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