Here 1.299 ÷ 8 = .162375.
1.000000
Then 1 - .162375.162375=.8376.
.837635

For the sharp V-thread the following rule is employed:

Rule.—Diameter-(1.73205 ÷ pitch) = diameter at root.

Example.—What is the diameter at the root of a sharp V-thread of 8 pitch, and measuring 1 inch diameter at the top of the thread?

Here 1.73205 ÷ 8 = .21650.
1.0000
Then 1 - .2165.2165=.7835.
.7835

Fig. 1013.

For cutting square threads the class of tool shown in [Fig. 1013] is employed, being made wider at the cutting point c than at b or at d, so that the cutting may be done by the edge c, and the sides a may clear, which is necessary to reduce the length of cutting edge and prevent an undue pressure of cut from springing the work.