This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
When the length is given in feet and the breadth in inches, set the breadth on b to 12 on a ; and against the length on a is the content in square feet on B.
If the dimensions are all inches, set the breadth on b to 144 upon a ; and against the length upon a is the number of square feet on B.
Required the content of a board 15 inches broad and 14 feet long.
Set 15 upon b to 12 upon a; and against 14 upon a is 17*5 square feet on b.
Set .7854 upon c to 1 or 10 upon d; then will the lines c and d be a table of areas and diameters.
Areas | 3.14 | 7.06 | 12.56 | 19.63 | 28.27 | 38.48 | 50.26 | 63.61 | upon c. |
Diam. | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | upon d. |
In the common rule, set -7854 on c to 10 on d ; then c is a line or table of areas, and d of diameters, as before.
Set 7 upon b to 22 upon a ; then b and a form or become a table of diameters and circumferences of circles.
Cir. | 314 | 6.28 | 9.42 | 12.56 | 15.7 | 18.85 | 22 | 25 13 | 28.27 | upon a. |
Dia. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | uponB. |
Set the gauge-point upon c to 1 or 10 upon D; and against the length of one side upon D is the area upon C.
Sides 8 6 6 7 8 9 10 11 12.
Gauge-points .433 1.7 2.6 3.63 4.82 6.18 7.69 9.37 1117.
Required the area of an equilateral triangle, each side 12 inches in length.
Set .433 upon c to 1 upon d; and against 12 upon d are 62.5 square inches upon c.
 
Continue to: