At the time when Hardy wrote his address he was under the impression that Waring first stated his theorem [that every positive integer is a sum of at most 4 positive squares, 9 positive cubes, 19 positive biquadrates, and so on] in the third edition (1782) of his *Meditationes Algebraicae* [pp. 349- 350], but in a letter of Jan. 4, 1921, he writes me that a correspondent has called his attention to its appearance in an earlier edition. On examining the three editions I fail to find it in the first (1762), but find it in the second (1770) [pp. 204-205], and in the third (1782), as indicated. These references are given also in Dickson's *History of the Theory of Numbers*, vol. II, pp. xviii and 717 in connection with his elaborate history of Waring's problem.

[Am I right in supposing (as I have done in numbering the editions above) that Waring, when he came to publish the third edition, treated the first part (pp. 1-65) of his *Miscellanea Analytica* (1762) as the first edition of his *Meditationes Algebraicae*, its material being reproduced in the editions of 1770 and 1782; or was there another edition of the latter between those of 1770 and 1782? The view which I have taken agrees with a statement given in an old manuscript note on the fly-leaf of a copy of the 1770 edition of the *Meditationes Algebraicae* in the library of the University of Illinois.]