Abstract

The phrase τά ένί διαστηματι γ ραφόμενα occurs in that part of Pappus' Collection Book VIII which deals with instrumental solutions to problems more practical than purely geometrical. In the preceding section an instrumental solution for the problem of doubling the cube has been propounded, which is dependent on the use of a ruler passing through a point about which it is turned in the generation of the locus of points known as the cissoid, and in the subsequent section a solution is propounded for the problem of finding the diameter of a cylinder of which only an incomplete portion of the side remains, leaving neither base intact