PRE-CAL

• according to Apollonius’ study is a curved obtained by the intersection of the surface of a cone with a plane.
• A line lying entirely on the cone is called generator
• all generators of a cone pass through its vertex
• upper nappes, lower nappes: the two nappes of cone
• parabola: if the cutting plane is parallel to one and only ome generator
• ellipse: if the cutting plane is not parallel to any generator that curve is?
• Circle: if the plane is not parallels to any generator, but is perpendicular to the axis, the ellipse becomes a?
• Hyperbola: if the cutting plane is parallel to two generators is a?
• degenerate conic: is either a point, a line, or two intersecting lines
• degenerate conic: this is not curve but a result of the intersection of the plane and the double right circular cone
• Circle: is the set of points in a plane that lie a fixed distance, called the radius from any points, called center
• Diameter: is the length of a line segment passing through the center whose endpoints are on the circle
• DIRECTRIX: The line that is c units directly away from the vertex.
• DIRECTRIX: It is the fixed line
• FOCUS: A point inside the parabola that is c units away from the vertex.
• FOCUS: This is the fixed point
• AXIS of SYMMETRY: The line which divides the parabola into two parts which mirror images from each other.
• LATUS RECTUM: The line segment that passes through the focus and perpendicular to the axis of symmetry and has endpoints on the curve.
• The symmetry to the line that passes through the focus and perpendicular to the directrix is called axis of the parabola.
• The point of the parabola that intersects with the axis is called vertex
• Fixed points are called foci (plural for focus).
• CENTER: The intersection between the major minor axis.
• FOCI: what is the focus
• The foci are two fixed points inside the ellipse which are equidistance form the center and lays along the major axis.
• VERTICES : are points on the ellipse, collinear with the center and foci
• COVERTICES: The endpoints of the minor axis, perpendicular to the major axis
• LATUS RECTUM: The chord that passess through a focus and is perpendicular to the major axis.
• HYPERBOLA: Set of all points in a plane such that the difference in distances each point from two fixed points (F_1 and F_2)  in the plane is constant, where called foci.
• CENTER: is the midpoint of the line segment joining the vertices.
• VERTEX: it lies on the line of transverse axis
• COVERTICES: is perpendicular to the vertices that lies on the conjugate axis
• TRANSVERSE AXIS: is the axis of hyperbola that passes through two focus.
• CONJUGATE AXIS: is the axis of hyperbola perpendicular to the transverse axis at a point equidistant from foci.
• ASYMPTOTE is the line that a curve approaches as it heads towards infinity.