03-17-2005, 02:09 PM
What a question... of course
The math behind an ellipse is very simple.
For an ellipse:
That is the mathematical algebraic description of an ellipse (a circle has c = d = 1). A circle can also be written as a function of polar or parametric variables.
Polar form:
Rotated ellipses are easier to make using the parametric form, although for both the function and parametric form a rotation formula can be used.
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The math behind an ellipse is very simple.
For an ellipse:
- (x / c) ^ 2 + (y / d) ^ 2 = r ^ 2
- (x / c) ^ 2 + (y / d) ^ 2 <= r ^ 2
- (x / c) ^ 2 + (y / d) ^ 2 > r ^ 2
That is the mathematical algebraic description of an ellipse (a circle has c = d = 1). A circle can also be written as a function of polar or parametric variables.
Polar form:
- r = const
- x = cos(tetha) * r
y = sin(tetha) * r
Rotated ellipses are easier to make using the parametric form, although for both the function and parametric form a rotation formula can be used.
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