The Survey and Map of Massachusetts. 85 



The degree of accuracy of the map depends upon the accuracy 

 of the locations, their number and the uniformity of their distri- 

 bution. Of their accuracy it is only necessary to state that their 

 errors are not sufficiently^ large to be appreciable upon the scale 

 of the map, for instance the scale being one inch to a mile, an 

 error of 50 feet in the location of a point would be upon the map 

 but one hundredth of an inch,^a barely appreciable quantity, 

 and it is of course easy to make the locations within this limit. 

 Of the number of locations per unit of maj) surface I shall give 

 statistics drawn from the full experience of the Survey in this 

 state. The area surveyed by the method of intei'sections exclus- 

 ively comprises 3,500 square miles, or about two-fifths of the 

 state. In this area 3,123 stations were occupied with the plane 

 table, or slightly less than one to a square mile, or, measured upon 

 the map, one to a square inch. Besides these, 17,846 points were 

 located in this area by intersections, making, with the occupied 

 stations, a total of 20,969 locations within the area, or 6.2 hori- 

 zontal locations per square inch. In the same area the heights of 

 34,893 points were measured, being 10 per square inch. I am 

 expressing these figures in terms of inches of the final map, 

 because it is the map with which we are concerned. 



The area surveyed by the traverse method is 2500 sq. miles. 

 In this area 5615 miles of traverse lines were run, being 2.2 linear 

 inches per square inch of the map. In running these lines 46,524 

 stations were made with the theodolite, being 8.3 per linear mile 

 of traverse and 18.6 per sq. inch of map. The number of meas- 

 urements of height was 92,561, being 37 to the square inch. 



The area surveyed by the mixed method comprised 3000 sq. 

 miles. In this 900 stations were made with the plane table, and 

 from them 3718 points were located by intersection, making 

 altogether 4618 points located with the plane table. In addition 

 to this, 6767 miles of traverse were run, being 2.2 linear miles 

 per square mile of area. In these traverses 31,708 instrumental 

 stations were made, or 4.7 per linear mile and 10.6 per sq. mile. 

 The sum of the plane table stations, locations, and the traverse 

 stations, which makes up the total of horizontal locations in this 

 area, is 36,326, being a total of 12.1 points per sq. inch of map. 

 The number of measurements of height in this area is 67,119, 

 being 22.4 per sq. inch. It will be seen that the number of hori- 

 zontal locations and of height measurements in the area traversed 

 is much greater than in that surveyed by the intersection 



