Figure 2, from Rayner and Schmidt, is a sketch that shows graphically the Minnesota North constants and the basis of transforming the geodetic coordinates of point P into the state plane coordinates on the Lambert grid. The central meridian is W93 06', which has a false x-coordinate of 2,000,000 feet. P. Let's perform the calculations. Tables are needed to get R and q. These tables are given in the publication for the State of Minnesota, but for this article, Tables 1 and 2, from Rayner and Schmidt, are abstracts of the original tables that cover the values needed to solve our problem. Table 1 gives the values of q as a function of longitude, from longitude W94 21' to longitude W95 00'.
State plane coordinates x and y, plus the scale factor.
In order to traverse, a second geodetic control point is needed and the State plane coordinates must be calculated for that point. As you can see, the calculations on the Lambert grid are straightforward if you have the tables. In the next article I'll do a transformation onto the transverse Mercator grid, not as simple as on the Lambert grid, as you will see. Just to show how recent hand-held calculators really are, Hewlett Packard didn t develop their HP 35 and HP 45 calculators until the early 1970s. I graduated from Ohio State in January 1974, and didn't see a hand-held calculator before that time.