In 1815, two surveyors set out with stakes, chains, and compasses to establish Michigan Territory's baseline and principal meridian, the standard coordinates
by which townships and property descriptions would later be established.
The standard coordinates or dimensions of the rows and columns are found by
The standard coordinates are scaled in such a way that the weighted average is 0 and the weighted sums of squares is 1.
A plot of the first two standard coordinates can be seen (Fig.
In much the same way, the standard coordinates for the row and column variables are weighted averages.
Breakdown of total inertia for all three standard coordinates.