$4.7$ Bowditch Adjustment

The figure $\backslash ($ A B C D E $\backslash )$ and $\backslash (\backslash$Lambda$^\{\backslash$prime$\}\backslash )$ plotted truly represent the actual figure on the ground because the ploted figure give two positions of $\backslash ($ A $\backslash ),$ perhaps only one exist on ground. This displacement of $\backslash ($ A $\backslash )$ is due to the build$-$up error in surveying and plotting around the traverse. The total error in the figure indicated by line $\backslash (\backslash$mathrm$\{$AA$\}^\{\backslash$prime$\}\backslash ).$ The total error of the line $\backslash (\backslash$mathrm$\{$AA$\}^\{\backslash$prime$\}\backslash )$ may be distributed over the figure in the following way.

$1.\backslash ($ A$^\{\backslash$prime$\}\backslash )$ must be at $\backslash ($ A $\backslash )$ and must be moved the distance $\backslash ($ A A$^\{\backslash$prime$\}\backslash )$ in the direction shown. The effect of this movement will be to move the plotted positions of the other points proportionally along the parallel direction

$2.$ Set off the horizontal line $\backslash ($ A A$^\{\backslash$prime$\}\backslash )$ proportional to the total length of the traverse. Scale off the lengths of the traverse legs along it$.$

$3.$ Erect perpendiculars at each point along the line. Pick$-$off the length of the closing error on the plot and mark it on the perpendicular erected at $\backslash ($ A$^\{1\}\backslash ).$ Join small a and big A$.$

$4.$ The intersection of a and A with the perpendiculars indicate the extent aA of the adjustment needed for each station.

$5.$ Draw lines parallel to the direction of the closing error through points plotted.

$6.$ The amount of error, given at $\backslash ($ E $\backslash )$ being $\backslash ($ e E $\backslash )$ is picked off the diagram and transferred to the line draw through $\backslash ($ E $\backslash )$ on the plot parallel to closing error.

$7.$ The errors at each station are transferred to the point in the same way.

$8.$ Join the positions of the adjusted points given the figure AbcdeA which now forms the adjusted graphical traverse.