Warm-Up: Georgian

src/Warm-Ups/Pairs/main.typ

@@ -7,5 +7,5 @@
 )
 
 #problem()
-$n$ black and $n$ white points are randomly distributed on a plane. No three points are collinear.\
+$n$ black and $n$ white points are randomly distributed on a plane. No three points are colinear.\
 Show that it is always possible draw $n$ nonintersecting lines between pairs of points of different colors.

src/Warm-Ups/Snakes/main.typ

@@ -76,14 +76,14 @@ All integrals are of the form $integral_a^b 1 #h(1mm) d x$.
 
 
   #v(5mm)
-  Finally, use this recursion to find that
+  Finally, use this recusion to find that
   $f_0, f_1, ..., f_7 = 1, 0, -1, -4, -13, -40, -121, -364$
 
   One can also find an explicit formula for $g_n$:
 
   $
     f_(n+1) = g_n & = x + y + 3^n c + 3^0 + 3^1 + ... + 3^n \
-                  & = x + y + 3^n c + sum_(i=0)^n 3^i \
+                  & = x + y + 3^n c + sum_(i=0)^n 3^i       \
                   & = x + y + 3^n c + (3^(n+1) + 1)/2
   $
 ]