Mr. Garrod has earned the gratitude of all students of Manilius by his detection of the ratio of the series in iii. 599–615, and he is fully justified in his contention that tricenas in 612 is ‘one of the few emendations which can be proved mathematically.’ I owe him a special acknowledgment, inasmuch as his discovery enables me to add one more to the list and affords me an opportunity of establishing what was correct and correcting what was erroneous in my discussion of the whole passage (590–617) in Silua Maniliana, pp. 30 sqq. Let me do the last first. My suggestion of uix for bis in 616 of course disappears; bis sex is required by the series: and in 595–6 (of which more presently) the number meant is 75, not 76.