Construct a hexagon which can be inscribed in a circle and has lengths
How is its area compared with an equilateral triangle with sides
Design an experiment to show that if the sides of a quadrilateral are of
constant length, then the enclosed area is maximum when the vertices are
concyclic.
Construct the parabola given one tangent, the point of contact and the
directrix.
Construct the parabola given the focus, one tangent and the point of contact.
Construct the parabola given a pair of tangents and the focus.
Construct the parabola given a pair of orthogonal tangents and the
corresponding points of contact.
Construct the parabola given a pair of tangents and the corresponding points
of contact.
Construct the graph of
Investigate its behavior as the constants
vary.
The construction is based on ``Horner's method''
and the principle shown below:
Suppose that three tangents to a circle and two of the points of contact are
given, find the third point of contact.
Construct the conic given three tangents and two of the points of contact.
