2011-03-27, 05:31 PM
ellipsis should probably be something like this:
(sin(theta)/A)²+(cos(theta)/B)²=1/r²
With A and B being the maximum distance they go.
from the cartesian equation:
(x/A)²+(y/B)²=1
But I think with the vertices you should build the equations from the ellipsis definition:
"A cord of fixed length tied to the two vertices will pass by all points of an ellipsis when held stretched"
(sin(theta)/A)²+(cos(theta)/B)²=1/r²
With A and B being the maximum distance they go.
from the cartesian equation:
(x/A)²+(y/B)²=1
But I think with the vertices you should build the equations from the ellipsis definition:
"A cord of fixed length tied to the two vertices will pass by all points of an ellipsis when held stretched"