  There are two theories describing the linearizability of 3-webs: one is
developed in the article "On the linearizability of 3-webs" (Nonlinear analysis
47, (2001) pp.2643-2654) and another in the article "On the Blaschke conjecture
for 3-webs" (J. Geom. Anal. 16, 1 (2006), 69-115). Unfortunately, they cannot
be both correct because on an explicit 3-web W they contradict: the first
predicts that W is linearizable while the second states that W is not
linearizable. The essential question beyond this particular 3-web is: which
theory describes correctly the linearizability condition? In this paper we
present a very short proof, due to J.-P.~Dufour, that W is linearizable,
confirming the result of the first article.
