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touch up English language
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09-lines.rst

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@@ -220,9 +220,9 @@ Lines
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The different line joints.
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Polylines (i.e. line made of several segments) is much more difficult to render
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than segment because we have to take joints into account as illustrated on the
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image on the right. But, even if there appears to exist three different kind of
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Polylines (i.e. lines made of several segments) are much more difficult to render
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than segments because we have to take joints into account as illustrated in the
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image on the right. But even if there appear to be three different kinds of
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joints, there are really only two cases to consider: the bevel joint and the
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others (round and miter). These cases are different because we can code a
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reasonably fast solution for the bevel case while the two others ask for more
@@ -485,7 +485,7 @@ a search using the "Bézier" or "bezier" keyword (I even commited `one
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For the time being, we'll use an approximation of Bézier curves using an
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`adaptive subdivision <http://antigrain.com/research/adaptive_bezier/>`_ as
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designed by Maxim Shemarev (and translated in Python by me, see `curves.py
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<code/chapter-09/curves.py>`_). You can see on the images below that this
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<code/chapter-09/curves.py>`_). You can see in the images below that this
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method provides a very good approximation in a reasonable number of segments
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(third figure on the right).
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