  An identity by Chaundy and Bullard writes 1/(1-x)^n (n=1,2,...) as a sum of
two truncated binomial series. In a paper which appeared in 2008 in Indag.
Math. the authors surveyed many aspects of this identity. In the present paper
we discuss much earlier occurrences of this identity in works by Hering (1868),
de Moivre (1738) and de Montmort (1713). A relationship with Krawtchouk
polynomials in work by Greville (1966) is also discussed.
