Point F moves on circle c = A(AE) and D is the second intersection of the line
from fixed C to F with the circle.
Project point C parallel to AD on line AF. Then this projection H lies on an ellipse, whose
center is the middle of AC, points {A,C} being the foci.
- A key feature is the isosceles CHA, which implies the hyperbola property with foci at C, A.
- G is the middle of CE, and I is the middle of CJ.
Additional properties.
- By standard properties of ellipses (see Ellipse.html ) the tangent tH to the ellipse is orthogonal to DF.
See Also
Ellipse.html
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Ellipse Generation ![[0_0]](EllipseGeneratedCircleAndPoint_files/EllipseGeneratedCircleAndPoint_0_0_0.png)