MAT 213 Lecture Notes - Lecture 6: Quadric, Plane Curve, Paraboloid
Document Summary
10. 6 cylinders and quadric surfaces notes: sterling. Provide a generalization to each of the key terms listed in this section. Cylinders are surfaces that are created from all of the lines that actually are parallel to the given line while it"s passing through its plane curve. Rulings are the lines (the one that are actually parallel to the given line while it"s passing through its plane curve) that make up a cylinder. A parabolic cylinder is created from (in nitely) many shifted copies that are on the same parabola; it"s equation is z = x2 while it"s on the xz-plane while it"s moving in general direction of the y-axis. Quadric cylinder are graphs of 2nd degree equation that consist of 3 variables, which are x, y, and z, which the following would be the general equation of the quadric equation (with variable a through j are all constants):
