Euclid’s book on divisions of figures: a conjecture as to its origin

Abstract

It is shown how a diagram on the reverse of a Greek coin of Aegina of the fifth century b.c.e., is simply constructed with the help of Proposition 36 of Euclid’s Book on Divisions [of Figures], and it is conjectured in the absence of contemporary evidence that, since Euclid expressly designated this proposition to be the last in the book, he may have had in mind the diagram, which, some 200 years after its appearance on the coinage, may still have played a significant role in geometry.