- On Balances (or perhaps levers). Pappus says that in this work Archimedes proved that “greater circles overpower lesser circles when they rotate about the same centre”.
- A book On Centres of Gravity is alluded to by Simplicius. It is not, however, certain that this and the last-mentioned work were separate treatises, Possibly Book I. On Plane Equilibriums may have been part of a larger work (called perhaps Elements of Mechanics), and On Balances may have been an alternative title. The
title On Centres of Gravity may be a loose way of referring to the same treatise.
- Catoptrica, an optical work from which Theon of Alexandria quotes a remark about refraction.
- On Sphere-making, a mechanical work on the construction of a sphere to represent the motions of the heavenly bodies (cf. pp. 5-6 above).
Arabian writers attribute yet further works to Archimedes, (1) On the circle, (2) On a heptagon in a circle, (3) On circles touching one another, (4) On parallel lines, (5) On triangles, (6) On the properties of right-angled triangles, (7) a book of Data; but we have no confirmation of these statements.
CHAPTER IV.
GEOMETRY IN ARCHIMEDES.