And secondly, to throw the several States into rude circles or other figures, round the arc or along the line of which his recollection moves from point to point. [Illustration: MAP I. _FOR THE CATALOGUE._ The Sections are the main divisions. _The Figures are the Sub-divisions._ _The islands I, II, III, IV, make up the Second Section and the Third Figure._ ] [Illustration: MAP II. _THE CATALOGUE._ FIGURE I. I. Bœotia. (1) II. Orchomenus, (or Bœotia, 2.) III. Phocis. IV. Locris. V. Eubœa. VI. Attica. VII. Salamis. VIII. Argolis. IX. Mycenæ. FIGURE II. I. Lacedæmon. II. Pylus. III. Arcadia. IV. Elis. V. Dulichians. VI. Cephallenians. VII. Ætolians. FIGURE IV. I. Territory of Achilles. II. Protesilaus. III. Eumelus. IV. Philoctetes. FIGURE V. I. Podaleirius and Machaon. II. Polypœtes. III. Gouneus. (Perrhœbians and Dodona.) IV. Prothous. (Magnesians.) _N.B. A [cross] marks the place assigned by Müller to Ormenium, which is placed by Homer between I and II._ ] His first figure may be called a circle, being elliptical[480]; and it includes nine contingents. 1. Bœotia. 2. Minyeian Orchomenus. 3. Phocis. 4. Locris. 5. Eubœa. 6. Attica. 7. Salamis. 8. Argolis. 9. Mycenæ. His second is a zigzag, and includes seven contingents[481]. 1. Lacedæmon. 2. Pylus. 3. Arcadia. 4. Elis. 5. The Dulichians. 6. The Cephallenians. 7. Ætolia. We now part with the first section. His third figure embraces the second section, or insular division of the Catalogue, and is again part of a rude circle or ellipse[482]. 1. Crete. 2. Rhodes. 3. Syme. 4. Cos and other islands. Carpathus is included, which lay between Crete and Rhodes; being apparently in political union with Cos and the Calydnæ, and contributing to the same contingent, it could not but stand with them. Strabo observes that this principle of political division, according to what he terms δυνάστειαι[483], has been adopted by the Poet in his account of the Thessalian contingents. By reference to the rude maps annexed, which mark the several contingents by figures, the nature of this contrivance will be clearly seen. _The order for Thessaly._ It is more difficult to trace Homer’s method of proceeding with respect to Thessaly. This country furnishes nine contingents, which may best be described by the names of their leaders. There is no difficulty as to the first four, except that some of the boundaries are indeterminate. They form, like the last or insular group, an incomplete circle[484]. The leaders are; I. Achilles (681-94). II. Protesilaus (695-710). III. Eumelus (711-15). IV. Philoctetes (716-28).