1. Archimedes, Apollonius, & Ptolemy

2. Archimedes of Syracuse c. 287-212 BCE Wrote “research monographs” on various subjects rather than exhaustively on them. Examples: –On the Measurement of the Circle –The Method –Quadrature of the Parabola –On Spirals –On the Sphere and Cylinder I & II, etc. “Eureka”

3. On the Measurement of the Circle r r c c Proposition 1: The two areas are equal.

4. The Method Oldest copy is a palimpsest from the 10 th century recently (1998) sold for $2 million Being preserved by Walters Art Gallery in BaltimoreWalters Art Gallery In poor condition Facsimiles may be available in the future Parabola segment = 4/3 inscribed triangle – see Fig. 3.2 p. 71 (Katz, brief ed.)

5. Apollonius of Perge c. 250 - 175 BCE Known chiefly for his work on conic sections Angle trisection via conic sections – Fig. 3.14 p.83 (Katz, brief ed.)

6. Ptolemy’s cosmology as realized by Andreas Cellarius in 1660 in his work Atlas Coelestis … From the collection of The British Library.