A line is a fundamental geometric object made up of infinitely many points aligned in a perfectly straight path. It has no thickness, no endpoints, and it extends endlessly in both directions.

The Cartesian coordinate system describes a point in the plane by projecting it onto two perpendicular axes. This representation privileges horizontal and vertical directions.

When a plane intersects a cone, the shape formed at the intersection, when projected onto the plane, can be a circumference, a parabola, an ellipse, or a hyperbola.

When introducing the parabola, we saw that when a plane intersects a cone, the resulting shape, when projected onto the plane, can be a circumference, a parabola, an ellipse, or a hyperbola.

When introducing the parabola, we saw that when a plane intersects a cone, the resulting shape, when projected onto the plane, can be a circumference, a parabola, an ellipse, or a hyperbola.