Geometrical and Graphical Essays: Containing a General Description of the Mathematical Instruments Used in Geometry, Civil and Military Surveying, Levelling, and Perspective; With Many New Practical Problems (Classic Reprint)

Excerpt from Geometrical and Graphical Essays: Containing a General Description of the Mathematical Instruments Used in Geometry, Civil and Military Surveying, Levelling, and Perspective; With Many New Practical Problems

The reader will, I hope, excuse me, if I stop a moment to give him some account of Mr. Gale's improvements; they consist, first, in a new method of plotting, which is performed by scales of equal parts, without a protractor, from the northings and southings, castings and westings, taken out of the table which forms the appendix to this work 1 this method is much more accurate than that in common use, because any small inaccuracy that might happen in laying down one line is naturally corrected in the next; whereas, in the common method of plot ting by scale and protractor, any inaccuracy in a former line is naturally communicated to all the suc ceeding lines. The next improvement consists in a new method of determining the area, with superior accuracy, from the northings, southings, castings, and westings, without any regard to the plot or draught, by an easy computation.

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