P = lw + (½l^2 - lc)[alpha] . . . (1)

Here [alpha] is the angle which the last position of the rod makes with the

first. In all applications of the planimeter the rod is brought back to its

original position. Then the angle [alpha] is either zero, or it is 2[pi] if

the rod has been once turned quite round.

Encyclopaedia Britannica, 11th Edition, "Bulgaria" to "Calgary" Volume 4, Part 4 · 第 22 / 71 题