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Table of Contents

Archimedes

may be a loose way of referring to the same treatise.

  1. Catoptrica, an optical work from which Theon of Alexandria quotes a remark about refraction.
  1. 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.

The famous French geometer, Chasles, drew an instructive distinction between the predominant features of the geometry of the two great successors of Euclid, namely, Archimedes and Apollonius of Perga (the “great geometer,” and author of the classical treatise on Conics). The works of these two men may, says Chasles, be regarded as the origin and basis of

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