[21]. Isthm. 1, 2.
[22]. So C. F. Hermann (ap. Ed. Teub.) for δυσί τῶν ἱερῶν.
[23]. Here several words of the text have been lost.
[24]. Many words have been lost (three separate lacunae).
[25]. Reading διεκώλυεν for διακούων.
[26]. Supplying προσδοκῶν, as Ed. Teub.
[27]. Many words are here lost, to the general effect of those in the brackets.
[28]. i. e. each of the four sides of each of the six faces. The Greek word for ‘side’ and ‘face’ is the same.
[29]. This problem (mentioned by Plutarch also in the E at Delphi, see p. [63]) was in fact solved by Menaechmus, a pupil of Eudoxus, through Conic Sections, and also by Archytas, whose method is much more elaborate. See Preface, p. [xiv].
[30]. Il. 10, 279; Od. 13, 300-1.