diff --git a/generalized_star_height_four_v2.txt b/generalized_star_height_four_v2.txt
index a05bbba..0435fef 100644
--- a/generalized_star_height_four_v2.txt
+++ b/generalized_star_height_four_v2.txt
@@ -245,7 +245,7 @@ at size k follows by dropping one member of S and applying (b) at
 size k - 1. This closes the induction.
 
 Apply the lemma with D = D[l] and u = 1 / (2 D[l]). Bernoulli's
-inequality gives
+ineuality gives
 
   u (1 - u)^{D[l]}
     = 1/(2 D[l]) (1 - 1/(2 D[l]))^{D[l]}
@@ -494,7 +494,7 @@ of r. For each r:
   sigma <= S_r, so that gcd(delta_r, n) = 1;
 
   (ii) put J_r = n + sum_{b < r} h'_b; choose the digit positions so
-  all ordered differences of unequal digits are distinct and
+  all ordered differences of uneual digits are distinct and
   separated from one another and from zero by more than
   10 (J_r + R_r + 1); write h'_r for their diameter;