diff --git a/IV/mj-msc.tex b/IV/mj-msc.tex index 11e64b8..2f837fc 100644 --- a/IV/mj-msc.tex +++ b/IV/mj-msc.tex @@ -465,15 +465,14 @@ circle is meant. Given a bend, its compactness index is calculated as follows: \begin{enumerate} - \item From a non-crossing line, construct a polygon by joining first and last - vertices. + \item Construct a polygon by joining first and last vertices of the bend. - \item Calculate polygon area $P$. + \item Calculate area of the polygon $P$. - \item Calculate polygon perimeter $U$. The same value is the circumference of - the circle. + \item Calculate perimeter of the polygon $u$. The same value is the + circumference of the circle. - \item Given circle's perimeter $U$, circle's area $A$ is: + \item Given circle's perimeter $u$, circle's area $A$ is: \[ A = \frac{u^2}{4\pi} @@ -482,7 +481,7 @@ circle is meant. Given a bend, its compactness index is calculated as follows: \item Compactness index is $\nicefrac{P}{A}$: \[ - cmp = \frac{P}{A} = \frac{P}{ \frac{u^2}{4\pi}} = \frac{4\pi P}{u^2} + cmp = \frac{P}{A} = \frac{P}{ \frac{u^2}{4\pi} } = \frac{4\pi P}{u^2} \] \end{enumerate}