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The area of a circle is a mean proportional
between any two regular and similar polygons of which one
circumscribes it and the other is iso\-peri\-met\-ric with it.
In addition, the area of the circle is less than that of any
circumscribed polygon and greater than that of any
iso\-peri\-met\-ric polygon. And further, of these
circumscribed polygons, the one that has the greater number of sides
has a smaller area than the one that has a lesser number;
but, on the other hand, the iso\-peri\-met\-ric polygon that
has the greater number of sides is the larger.
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\strut It's possible to control the length of lines in a much more general
way, if simple changes to |\leftskip| and |\rightskip| aren't
flexible enough for your purposes. For example, a semicircular
hole has been cut out of the present paragraph, in order to make
room for a circular illustration that contains some of ↑{Galileo}'s
immortal words about circles; all of the line breaks in this paragraph
and in the circular quotation were found by \TeX's line-breaking
algorithm. You can specify an essentially arbitrary paragraph
shape by saying ↑{*parshape}\<number>, where the \<number> is
a positive integer $n$, followed by $2n$ \<dimen> specifications.
In general, `|\parshape|@$n$ $i↓1$@$l↓1$ $i↓2$@$l↓2$ $\ldots$ $i↓n$@$l↓n$'
specifies a paragraph whose first $n$ lines will have lengths
$l↓1$, $l↓2$, $\ldotss$,@$l↓n$, respectively, and they will be
indented from the left margin by the respective amounts
$i↓1$, $i↓2$, $\ldotss$,@$i↓n$. If the paragraph has fewer than
$n$ lines, the additional specifications will be ignored;
if it has more than $n$ lines, the specifications for line $n$ will
be repeated ad infinitum. You can cancel the effect of a previously
specified |\parshape| by saying `|\parshape0|'.\parfillskip0pt

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