The intersection of a cone and a plane results in a circle, an ellipse, a parabola or a hyperbola. In the special case where the plane intersects the vertex of the cone, the resulting section is a point, a line or two in... More »

A cone has a singular curved face. Cones consist of two main parts: a circular base and a curved top that spans from the outside of the base to a single point at the top. More »

To make a four-sided pyramid out of cardboard, simply attach four triangles to the sides of a square, and then fold the triangles up and secure them at the apex. Lay all the pieces out and tape them together, and fold th... More »

Some real-life examples of conic sections are the Tycho Brahe Planetarium in Copenhagen, which reveals an ellipse in cross-section, and the fountains of the Bellagio Hotel in Las Vegas, which comprise a parabolic chorus ... More »

Hyperbolas always sit on a certain point that is either on the y or the x axis at -1. The center of the hyperbola remains at that point no matter how far the graph is created from the center or how far it is zoomed out. More »

A conic projection is a map that is created by projecting a portion of the earth onto a cone and virtually unrolling the cone to create a flat map. Usually, the tip of the cone is above one of the poles, and the latitude... More »

To find the vertex of a parabola, use the quadratic formula in the standard form of y = ax^2 + bx + c, and derive the x-value of the vertex from the formula -(b/2a). Then, substitute the value of x into the equation to s... More »