To find the vertex of a parabola, you first need tofind x (or y, if your parabola is sideways) through the formula for the axis of symmetry. Then, you'll use that value to solve for y (or x if your parabola opens to the side) by using the quadratic equation. Those two coordinate...
In the situation of figure 2, the triangle median AG is clearly vertical, as is the axis of symmetry of the envelope parabola. From string art to caustic curves: envelopes in symbolic geometry In this example, the whole mold was rotating at a constant speed of 400 rpm around its vertical...