Ellipses
Explore!
Explore!
Use the applet below to explore the graph of an ellipse.
Use the applet below to explore the graph of an ellipse.
You can toggle the slider buttons to change the variables for the equation of an ellipse.
You can toggle the slider buttons to change the variables for the equation of an ellipse.
You can also pan and zoom in and out of the graph to see the changes clearly.
You can also pan and zoom in and out of the graph to see the changes clearly.
Explore!
Explore!
Use the applet below to learn more about the properties of foci for an ellipse.
Use the applet below to learn more about the properties of foci for an ellipse.
Use the blue points to change the length of the semi-major and semi-minor axis.
Use the blue points to change the length of the semi-major and semi-minor axis.
Observe how the length of the 2 green segments are invariant as you move the red point around the circumference.
Observe how the length of the 2 green segments are invariant as you move the red point around the circumference.
Observe also that the segments are also reflections of one another across the normal. Click on the checkbox to see the normal.
Observe also that the segments are also reflections of one another across the normal. Click on the checkbox to see the normal.