The formula to calculate the Linear Eccentricity of an Ellipse is:
\[ c = \sqrt{a^2 - b^2} \]
The Linear Eccentricity of an Ellipse is the distance from the center to any of the foci of the ellipse. The Semi Major Axis of an Ellipse is half of the chord passing through both the foci of the ellipse. The Semi Minor Axis of an Ellipse is half of the length of the longest chord which is perpendicular to the line joining the foci of the ellipse.
Let's assume the following values:
Using the formula:
\[ c = \sqrt{10^2 - 6^2} = 8 \]
The Linear Eccentricity of the Ellipse is 8 meters.
| Semi Major Axis (meters) | Semi Minor Axis (meters) | Linear Eccentricity (meters) |
|---|---|---|
| 9 | 6 | 6.708203932499369 |
| 9.5 | 6 | 7.365459931328117 |
| 10 | 6 | 8.000000000000000 |
| 10.5 | 6 | 8.616843969807043 |
| 11 | 6 | 9.219544457292887 |