5. Examples

a. Traverse 1

Figure G-11 shows the example Bearing Traverse with the previously computed adjusted Latitudes and Departures.  

img15
  Adjusted
Line Lat (ft) Dep (ft)
AB -176.386 -438.574
BC +203.382 -73.105
CD +192.340 +198.635
DE -219.336 +313.044
Figure G-11
Example DMD Traverse
 

 

Step (1) Compute the DMDs

Starting with line AB and use Equation G-4 to computed the DMDs.

img28

If you examine the Deps and DMDs computations above, you should see a pattern to the computations. This pattern is shown using colored arrows below.

img29

 

Step (2) Multiply DMDs by Lats; add the products 

  Adjusted    
Line Lat (ft) Dep (ft) DMD (ft) DMD x Lat (sq ft)
AB -176.386 -438.574 -438.574 +77,358.3
BC +203.382 -73.105 -950.253 -193,264.4
CD +192.340 +198.635 -824.723 -158,627.2
DE -219.336 +313.044 -313.044 +68,661.8
     

sum:

-205,871.5

 

Step (3) Compute the area using Equation G-6

img39

Note that this is the same as computed by coordinates. Surprise.

 

b. Traverse 2

What about the Crossing Traverse?

Figure G-12
Parcel With Obstructions

Figure G-13
Crossing Traverse For the Parcel

 

The parcel area, Figure G-12, can not be determined by DMDs without additional computations. By definition, Area by DMDs is limited to travel along the traverse path so you would be determining the area of E-F-G-H-E, Figure G-13. That area doesn't make sense since the traverse crosses itself. To compute the area of the parcel by DMDs, you would need to determine the Lat and Dep of lines EF and FH, then compute DMDs around the perimeter. By the time all that was done, the area could have been computed by coordinates.