Published online by Cambridge University Press: 17 April 2009
A recent improvement by H. Guggenheimer of the lower bound for the product of the volumes of a pair of polar reciprocal convex bodies is used to replace one of the results of Kurt Mahler, “Polar analogues of two theorems by Minkowski”, Bull. Austral. Math. Soc. 11 (1974), 121–129 by a best possible one. A similar improvement can be made for the other theorems in my note.