1
0
mirror of https://github.com/Pomax/BezierInfo-2.git synced 2025-08-30 19:50:01 +02:00

Update content.en-GB.md

This commit is contained in:
Mike Kamermans
2018-03-19 09:43:23 -07:00
committed by GitHub
parent a7d5a2a2bc
commit a4d62e897f

View File

@@ -7,7 +7,7 @@ Armed with knowledge of the "ABC" relation, we can now update a curve interactiv
**Click-dragging the curve itself** shows what we're using to compute the new coordinates: while dragging you will see the original points B and its corresponding <i>t</i>-value, the original point C for that <i>t</i>-value, as well as the new point B' based on the mouse cursor. Since we know the <i>t</i>-value for this configuration, we can compute the ABC ratio for this configuration, and we know that our new point A' should like at a distance:
\[
A' = B' - \frac{C - B'}{ratio} = B' + \frac{B - C}{ratio}
A' = B' - \frac{C - B'}{ratio} = B' + \frac{B' - C}{ratio}
\]
For quadratic curves, this means we're done, since the new point A' is equivalent to the new quadratic control point. For cubic curves, we need to do a little more work: