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Fix spelling mistakes (#122)

This commit is contained in:
David Thomas
2017-10-16 17:04:21 +01:00
committed by Mike Kamermans
parent 7e1cefa73f
commit d395c261bc
19 changed files with 35 additions and 35 deletions

View File

@@ -290,7 +290,7 @@ Excellent! Now we can form our new quadratic curve:
***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:
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 because of that zero, but we actually evaluated this:
\[
B(t) =