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Ilya Kantor 2020-03-29 16:40:34 +03:00 • committed by GitHub
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@ -176,7 +176,7 @@ Instead of <code>x<sub>1</sub>, y<sub>1</sub>, x<sub>2</sub>, y<sub>2</sub>, x<s
For instance, if control points are `(0,0)`, `(0.5, 1)` and `(1, 0)`, the equations become: For instance, if control points are `(0,0)`, `(0.5, 1)` and `(1, 0)`, the equations become:
- <code>x = (1−t)<sup>2</sup> * 0 + 2(1−t)t * 0.5 + t<sup>2</sup> * 1 = (1-t)t + t<sup>2</sup> = t</code> - <code>x = (1−t)<sup>2</sup> * 0 + 2(1−t)t * 0.5 + t<sup>2</sup> * 1 = (1-t)t + t<sup>2</sup> = t</code>
- <code>y = (1−t)<sup>2</sup> * 0 + 2(1−t)t * 1 + t<sup>2</sup> * 0 = 2(1-t)t = –t<sup>2</sup> + 2t</code> - <code>y = (1−t)<sup>2</sup> * 0 + 2(1−t)t * 1 + t<sup>2</sup> * 0 = 2(1-t)t = –2t<sup>2</sup> + 2t</code>
Now as `t` runs from `0` to `1`, the set of values `(x,y)` for each `t` forms the curve for such control points. Now as `t` runs from `0` to `1`, the set of values `(x,y)` for each `t` forms the curve for such control points.