From e88baf5600b4d80bc303d0eb827ca1056b394669 Mon Sep 17 00:00:00 2001 From: Mike Kamermans Date: Tue, 25 Apr 2017 11:07:07 -0700 Subject: [PATCH] Update content.en-GB.md --- components/sections/matrixsplit/content.en-GB.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/components/sections/matrixsplit/content.en-GB.md b/components/sections/matrixsplit/content.en-GB.md index 24631745..d55dd048 100644 --- a/components/sections/matrixsplit/content.en-GB.md +++ b/components/sections/matrixsplit/content.en-GB.md @@ -288,7 +288,7 @@ Excellent! Now we can form our new quadratic curve: \end{bmatrix} \] -***Brilliant***: if we want a subcurve from `t = 0` to `t = z`, we can keep the first coordinate the same (which makes sense), our control point becomes a z-ratio mixture of the original control point and the start point, and the new end point is a mixture that looks oddly similar to a bernstein polynomial of degree two, except it uses (z-1) rather than (1-z)... These new coordinates are actually really easy to compute directly! +***Brilliant***: if we want a subcurve from `t = 0` to `t = z`, we can keep the first coordinate the same (which makes sense), our control point becomes a z-ratio mixture of the original control point and the start point, and the new end point is a mixture that looks oddly similar to a [Bernstein polynomial](https://en.wikipedia.org/wiki/Bernstein_polynomial) of degree two, except it uses (z-1) rather than (1-z)... These new coordinates are actually really easy to compute directly! Of course, that's only one of the two curves. Getting the section from `t = z` to `t = 1` requires doing this again. We first observe what we just did is actually evaluate the general interval [0,`z`], which we wrote down simplified becuase of that zero, but we actually evaluated this: