Geometry Construction 08

Topic︰Van Schooten軌跡問題、由五元素確定之圓錐曲線、

                    橢圓與三角線

1.  Construct  an animation displaying a triangle whose vertices travel along three concentric ellipses.
2.  Construct the conic with five of its tangents given.
3.  Construct  the conic passing through four given points, and tangent to a line through one of the points.
4.  Construct  the conic passing through three given points, and tangent to two lines each through one of the points.
5.  Construct  the conic tangent to four given lines at a point on one of the lines.
6.  Construct  the conic tangent to three given lines at two points on two of the lines.
7.  Construct the parabola tangent to four given lines
8.  Construct an animation displaying an ellipse sliding inside a deltoid rigidly.
9.  Construct the deltoid and the ellipse having three given lines as common tangents.
10. Construct an animation displaying a family of trochoids tangent to a fixed deltoid.
11. Construct the ellipse tangent to two fixed circles and their external common tangents.