Heron of Alexandria dealt with the division of surfaces and solids in
the third book of his Surveying (μετρικά).
Although the enunciations of the propositions in this book are, as a whole,
similar to those in Euclid's book On Divisions, Heron's discussion consists
almost entirely of "analyses" and approximations.cit. pag. 27 Archibald,
Raymond Clare. Chapter II. Euclid's book On divisions of figures,
19--28, The University press, Cambridge [Eng.], 1915.
https://projecteuclid.org/euclid.chmm/1263313560