An extensive collection was made of screw bolts from the principal workshops throughout England, and the average thread was carefully observed for different diameters. The ¼, ½, 1, and 1½ inches were particularly selected and taken as the fixed points of a scale by which the intermediate sizes were regulated. The only deviation made from the average was such as might be necessary to avoid the great inconvenience of small fractional parts in the number of threads to the inch. The scale was afterwards extended to 6 inches.
The pitches thus obtained for angular threads are shown in the following table:—
| Diameter in Inches | .. | 1⁄4 | 5⁄16 | 3⁄8 | 7⁄16 | 1⁄2 | 5⁄8 | 3⁄4 | 7⁄8 | 1 | 11⁄8 | 11⁄4 |
| Threads to the Inch | .. | 20 | 18 | 16 | 14 | 12 | 11 | 10 | 9 | 8 | 7 | 7 |
| Diameter in Inches | .. | 13⁄8 | 11⁄2 | 15⁄8 | 13⁄4 | 17⁄8 | 2 | 21⁄4 | 21⁄2 | 23⁄4 | 3 | 31⁄4 |
| Threads to the Inch | .. | 6 | 6 | 5 | 5 | 41⁄2 | 41⁄2 | 4 | 4 | 31⁄2 | 31⁄2 | 31⁄4 |
| Diameter in Inches | .. | 31⁄2 | 33⁄4 | 4 | 41⁄4 | 41⁄2 | 43⁄4 | 5 | 51⁄4 | 51⁄2 | 53⁄4 | 6 |
| Threads to the Inch | .. | 31⁄4 | 3 | 3 | 27⁄8 | 27⁄8 | 21⁄4 | 23⁄4 | 25⁄8 | 25⁄8 | 21⁄2 | 21⁄2 |
It will be observed that above 1-inch diameter the same pitch is used for two sizes. This could not have been avoided without introducing small fractional parts. The economy of screwing apparatus was also promoted by repetition of the thread.
It is important to remark that the proportion
