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Computing  Areas - 14070_134
Figure7-21.Area from double meridian distances. - 14070_136

Engineering Aid 1 - Advanced Structural engineering guide book
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AREA BY DOUBLE MERIDIAN DISTANCE.— The meridian distance of a traverse line is equal to the length of a line running east to west from the midpoint of  the  traverse  line  to  a  reference  meridian.  The reference meridian is the meridian that passes through the most westerly  traverse station. In figure 7-20, the dotted lines indicate the meridian distances of the traverse lines to which they extend from the reference meridians. You can see that the meridian distance of the initial line AB equals one half of the departure  of  AB. The meridian distance of the next line BC equals the meridian distance of AB, plus one half of the  departure  of  AB, plus  one  half  of  the  departure  of BC. You can also see that the meridian distance of  CD equals the meridian distance of  BC, plus one half of the departure of  BC, minus one half of the departure of DC. Similarly,  the  meridian  distance  of  AD equals  the meridian  distance  of   DC,  minus   one  half  of  the departure of  DC, minus one half of the departure of AD. You should now be able to understand the basis for the following rules for determining meridian distance: 1. For the initial traverse line in a closed traverse, the meridian distance equals one half of the departure. 2. For each subsequent traverse line, the meridian distance equals the meridian distance of the preceding Figure 7-19.—Form for computing coordinates Figure  7-20.—Meridian  distances. line, plus one half of the departure of the preceding line, plus one half of the departure of the line itself. However, it is the algebraic sum that results—meaning that plus departures  are  added  but  minus  departures  are subtracted. 7-15







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