cn101

• vertex

  extreme point in a conic section
• Asymptote

  a straight line w/c a curve approaches arbitrarly closely as it goes to infinity
• Locus

  The set of all points whose coordinates satisfy a given equation or condition
• Directrix

  A line used to construct and define a conic section; a parabola has one directrix; ellipses and

  hyperbolas have two (plural: directrices)
• Focus

  A point used to construct and define a conic section, at which rays reflected from the curve converge (plural: foci)
• conic section

  Any curve formed by the intersection of a plane with a cone of two nappes
• nappe

  One half of a double cone
• parabola

  set of all points whose distance from a fixed point, called the focus, is equal to the distance from a fixed line, called the directrix
• ellipses

  set of all points for which the sum of the distances from two fixed points (the foci) is constant
• circle

  is formed when the plane is parallel to the base of the cone
• Major axis

  longest width across the ellipse
• Minor axis

  which is the shortest width across the ellipse
• Origin

  which is the intersection of the two axes
• (x, y)

  any point on the ellipse, the sum of the distances to both focal points is a constant
• Hyperbola

  formed when the plane is parallel to the cone's central axis, meaning it intersects both parts of

  the double cone
• pyramid

  these are two linear graphs that the curve of the hyperbola approaches, but never touches solid shape consisting of a polygon base and triangular faces meeting at a common point above

  the base
• cone

  a circular base with radius r and height
• cylinder

  is a prism where the base shape is a circle.
• cube

  special case box where all the sides are the same length.
• prism

  geometric shape consisting of a stack of identical base shapes stacked on top of each other to a depth d.

  Notes