‘Evidently a character, a good trencherman, as became a Boeotian, one who on occasion could dance the Pyrrhic war dance, who loved well a scoff and a jest ... and who, if he thrust himself somewhat brusquely into discussions which are going forward, was quite able to justify the intrusion.’—Archbishop Trench. 3. APOLLONIDES, astronomer and geometrician; perhaps the latter would be the more correct designation. In another Dialogue (_Sympos._ 3, 4) a ‘tactician’ of the name appears. As Apollonius, the great mathematician (living about 200 B.C.) was also a geometrician who contributed to astronomical theory, not himself an astronomer, it seems likely that the name Apollonides has been coined by Plutarch for ‘one of the clan of Apollonius’, i. e. a young professor of geometry. Apollondes is treated rather brusquely by Lamprias, certainly with less respect than Menelaus. He seems to have cast in his lot with the Stoics in their physical opinions. 4. ARISTOTLE, a Peripatetic. Perhaps the name was given to him to mark the School to which he belonged. In the Dialogue _On the Delays in Divine Punishment_ an ‘Epicurus’ is a representative Epicurean. 5. PHARNACES, a Stoic, who sturdily supports his physical creed against all comers. 6. LUCIUS, an Etruscan pupil of Moderatus the Pythagorean, spoken of in one place (_Sympos._ 8, 7 and 8) as ‘Lucius our comrade’. He is elsewhere reticent as to the inner Pythagorean teaching, but is courteous and ready to discuss ‘what is probable and reasonable’. Kepler is inclined to complain of his professorial tone and longwindedness in the present Dialogue. This is hardly fair, as he is for the most part reporting a set discourse heard elsewhere, and that by request. Lamprias has to give him time to remember the points (c. 7). In c. 5 he asks that justice may be done to the Stoics. He associates himself with the Academics on physical matters. 7. THEON (see Preface, p. xii), represents literature (as he does in other Dialogues, notably in that on the _E at Delphi_). He is a welcome foil to the more severe disputants. In c. 24 he interrupts by moving the previous question—‘Why a moon at all?’ and is congratulated on the cheerful turn which he has given to the discussion. Theon may sometimes recall to readers of Jules Verne’s pleasant _Voyage autour de la lune_ the sallies of Michel Ardan the poet. 8. MENELAUS, a distinguished astronomer who lived and observed at Alexandria. Observations of his, which include some taken in the first year of Trajan, A.D. 98, are recorded by Ptolemy (_Magna Syntaxis_, 7, 3, p. 170) and other writers. ANALYSIS