establish the following as being approximately the chronological sequence:—
- On Plane Equilibriums , I. 2. Quadrature of a Parabola. 3. On Plane Equilibriums , II. 4. The Method. 5. On the Sphere and Cylinder , I, II. 6. On Spirals. 7. On Conoids and Spheroids. 8. On Floating Bodies , I, II. 9. Measurement of a Circle. 10. The Sandreckoner.
In addition to the above we have a collection of geometrical propositions which has reached us through the Arabic with the title “Liber assumptorum Archimedis”. They were not written by Archimedes in their present form, but were probably collected by some later Greek writer for the purpose of illustrating some ancient work. It is, however, quite likely that some of the propositions, which are remarkably elegant, were of Archimedean origin, notably those concerning the geometrical figures made with three and four semicircles respectively and called (from their shape) (1) the shoemaker’s knife and (2) the Salinon or salt-cellar, and another theorem which bears on the trisection of an angle.
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