diff --git a/examples/images/upper-central-projection.tex b/examples/images/upper-central-projection.tex
@@ -10,35 +10,32 @@
       \clip (-3, 0) rectangle (3, 3);
       \draw (0, 0) circle (3);
     \end{scope}
-            
+
     % The equator
     \begin{scope}
         \clip (-3, 0) rectangle (3, -1);
         \draw ellipse (3 and 1);
     \end{scope}
-            
+
     % The equator (on the other side of the sphere)
     \draw[dotted] ellipse (3 and 1);
-            
+
     % The plane
-    \draw[dotted] (-4.5, 1.5) -- 
-                  ( 1.5, 1.5) -- 
-                  ( 4.5, 4.5) -- 
-                  (-1.5, 4.5) -- cycle;
-    
-    % The north pole
-    \filldraw (0, 3) circle (2pt);
+    \draw[dotted] (-4.5, 1.8) --
+                  ( 1.5, 1.8) --
+                  ( 4.5, 4.8) --
+                  (-1.5, 4.8) -- cycle;
 
     % The center of the sphere
     \filldraw (0, 0) circle (2pt);
 
     % A line trhough the center of the sphere
-    \draw (0, 0) -- (1.8, 3);
+    \draw[dotted] (0, 0) -- (1.05, 2.31);
+    \draw (1.05, 2.31) -- (1.5, 3.3);
 
     % The intersection of the line with the plane
-    \filldraw (1.8, 3) circle (2pt);
+    \filldraw (1.5, 3.3) circle (2pt);
 
     % The intersection of the line and the sphere
-    \filldraw (1.56, 2.57) circle (2pt);
+    \filldraw (1.05, 2.31) circle (2pt);
 \end{tikzpicture}
-