A parabola is the locus of a point which moves so that its distances from a fixed point (the locus) and a fixed straight line (the directrix) are the same. Construct the parabola according to this definition by using the command "perpendicular bisector". | Construct the parabola as an envelope of its tangents. |
Construct the pair of tangents from a given point to the parabola. |
Given a pair of tangents and the focus, construct the parabola. |
Given the focus, a tangent and the point of contact, construct the parabola. |
Construct a parabola tangent to a fixed circle having a fixed diameter as axis. |
Construct the graph of the quadratic polynomial passing through three given points no two of which have the same abscissa. |
Construct the graph of the cubic polynomial passing through four given points no two of which have the same abscissa. |
Given coefficients a,b,c,d,
construct the graph of the cubic polynomial
ax^{3} + bx^{2} + cx + d |
Generalize the theorem of a chain of four tangential circles to the case of graphs of quadratic polynomials. |