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notes.tex

@@ -14,7 +14,7 @@ From the springs an embedding can be found. If this embedding is a circle packin
 \paragraph{}
 You can probably get the primal radii more directly, by using the fact that $k_{uv} = \frac{r_w+r_z}{r_u+r_v}$, for an edge $(u,v)$ perpendicular to the dual edge $(w,z)$. From this we have a system of $f+v=2+e$ unknowns and $e$ equations (what are the stresses for edges on the outer face?). However since each dual radii can be expressed by the three primal radii defining the face (using heron's formula), it's really a nonlinear system of $v$ unknowns and $e$ equations.
 
-\section{Necessary/sufficent circle packing conditions}
+\section{Necessary/sufficient circle packing conditions}
 
 The following are necessary conditions for a circle packing:\\
 1). For all edges $(u,v)$ perpendicular to the dual edge $(w,z), k_{uv} = \frac{r_w+r_z}{r_u+r_v}$\\