

We take the family of ellipses with foci (a,0), (a, 0) whose generic member we pass through the point (0,t). We look at the locus of the points of i...



Again, we can force the tangency by reflecting one focus in the tangent line and joining the reflection to the other focus, then intersecting the resu...



Given a triangle and a point lying on a circle concentric with the circumcircle but with twice the area, we create another triangle by reflecting the ...



There are a family of conics that go through four points; the fifth point defines one conic. One way to determine this conic is to first make a family...



Take a general equation, and look at the locus of midpoints of chords parallel to the y axis.



Given a point on the conic, we create the line joining the opposite ends of the two focal chords. We examine its envelope, which is an ellipse, as w...



Where does the normal intersect the minor axis?



We contruct conjugate diameters. The triangle formed by the conjugate radii and the line connecting the tangecy points has constant area.



