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Editing first three sections. (#176)

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* Editing first three sections.

* Update content.en-GB.md

* Update content.en-GB.md
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Simon Cozens
2019-06-11 00:55:28 +01:00
committed by Pomax
parent 1506c97645
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@@ -23,6 +23,6 @@ So let's look at that in action: the following graphic is interactive in that yo
And that brings us to the complicated maths: calculus.
While it doesn't look like that's what we've just done, we actually just drew a quadratic curve, in steps, rather than in a single go. One of the fascinating parts about Bézier curves is that they can both be described in terms of polynomial functions, as well as in terms of very simple interpolations of interpolations of [...]. That, in turn, means we can look at what these curves can do based on both "real maths" (by examining the functions, their derivatives, and all that stuff), as well as by looking at the "mechanical" composition (which tells us that a curve will never extend beyond the points we used to construct it, for instance)
While it doesn't look like that's what we've just done, we actually just drew a quadratic curve, in steps, rather than in a single go. One of the fascinating parts about Bézier curves is that they can both be described in terms of polynomial functions, as well as in terms of very simple interpolations of interpolations of [...]. That, in turn, means we can look at what these curves can do based on both "real maths" (by examining the functions, their derivatives, and all that stuff), as well as by looking at the "mechanical" composition (which tells us, for instance, that a curve will never extend beyond the points we used to construct it).
So let's start looking at Bézier curves a bit more in depth. Their mathematical expressions, the properties we can derive from those, and the various things we can do to, and with, Bézier curves.
So let's start looking at Bézier curves a bit more in depth: their mathematical expressions, the properties we can derive from them, and the various things we can do to, and with, Bézier curves.