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bit of cleanup

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Pomax
2017-04-15 12:21:12 -07:00
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commit 842fd8e344
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components/sections/explanation/content.en-GB.md
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@@ -39,7 +39,7 @@ There we go. <i>x</i>/<i>y</i> coordinates, linked through some mystery value <i
So, parametric curves don't define a <i>y</i> coordinate in terms of an <i>x</i> coordinate, like normal functions do, but they instead link the values to a "control" variable. If we vary the value of <i>t</i>, then with every change we get <strong>two</strong> values, which we can use as (<i>x</i>,<i>y</i>) coordinates in a graph. The above set of functions, for instance, generates points on a circle: We can range <i>t</i> from negative to positive infinity, and the resulting (<i>x</i>,<i>y</i>) coordinates will always lie on a circle with radius 1 around the origin (0,0). If we plot it for <i>t</i> from 0 to 5, we get this (use your up and down arrow keys to change the plot end value):
<Graphic preset="empty" title="A (partial) circle: x=sin(t), y=cos(t)" static={true} setup={this.setup} draw={this.draw} onKeyDown={this.props.onKeyDown}/>
<Graphic title="A (partial) circle: x=sin(t), y=cos(t)" static={true} setup={this.setup} draw={this.draw} onKeyDown={this.props.onKeyDown}/>
Bézier curves are (one in many classes of) parametric functions, and are characterised by using the same base function for all its dimensions. Unlike the above example, where the <i>x</i> and <i>y</i> values use different functions (one uses a sine, the other a cosine), Bézier curves use the "binomial polynomial" for both <i>x</i> and <i>y</i>. So what are binomial polynomials?