Incommensurability: Four Proposals*
David Wiggins · 1998
Abstract The gist of the assertion that not all lengths are commensurable ... may be expressed as follows. If AB, AC be two lengths along the same straight line, it may happen that, if AB be divided into m equal parts, and AC into n equal parts, then, however m and n may be chosen, one of the parts of AB will not be equal to one of the parts of AC, but will be greater for some values of m and n, and less for others; also lengths equal to either may be taken along any given line and with any given end-points.