- #1
alpha25
- 9
- 0
Hi, does exist an easy way to change the center of circle or a ellipse in polar coordinates?
thanks!
thanks!
The formula for finding the center of an ellipse in polar coordinates is (a, b), where a represents the distance from the origin to the center of the ellipse and b represents the distance from the origin to the focus of the ellipse.
Changing the center of an ellipse in polar coordinates will shift the entire ellipse, but it will not change its shape. The distance from the origin to the focus and the distance from the origin to any point on the ellipse will remain the same, thus preserving the shape of the ellipse.
Yes, the center of an ellipse in polar coordinates can be negative. This means that the center of the ellipse is located in the opposite direction from the positive axis. It does not affect the shape or size of the ellipse, only its position.
To graph an ellipse with a center at (0,0) in polar coordinates, you will need to plot the focus at (0,b) and then plot points along the ellipse using the formula r = a(1-e^2)/(1+e*cos(theta)), where a is the length of the semi-major axis and e is the eccentricity of the ellipse.
To determine the center of an ellipse in polar coordinates given its equation, you can rewrite the equation in standard form and then compare it to the general form of an ellipse in polar coordinates, which is r = a(1-e^2)/(1+e*cos(theta)). The values of a and b in the standard form will correspond to the coordinates of the center in the general form.