2. CONIC SECTIONS
• a figure formed by the intersection of a plane and a
right circular cone.
• Depending on the angle of the plane with respect to
the cone, a conic section may be a circle, an ellipse, a
parabola, or a hyperbola.
4. CIRCLE
• The circle is the simplest and best known conic section. As a conic
section, the circle is the intersection of a plane perpendicular to the
cone's axis
• The geometric definition of a circle is the locus of all points a constant
distance {displaystyle r} r from a point {displaystyle (h,k)} {displaystyle
(h,k)} and forming the circumference (C). The distance {displaystyle r} r is
the radius (R) of the circle, and the point {displaystyle O=(h,k)}
{displaystyle O=(h,k)} is the circle's center also spelled as centre. The
diameter (D) is twice the length of the radius.
7. PARABOLA
• The parabola is another commonly known conic section. The
geometric definition of a parabola is the locus of all points such
that they are equidistant from a point, known as the focus, and
a straight line, called the directrix.
• In other words the eccentricity of a parabola is equal to 1. The
solid formed by rotating a parabola about the axis is called a
paraboloid.
10. ELLIPSE
• The geometric definition of an ellipse is the locus of a point
which moves in a plane such that the sum of its distances from
the two points called foci add up to a constant(greater than the
distance between the said foci).
• It can also be defined as a conic where the eccentricity is less
than one. Ellipses have two directrices, one on each side.
13. HYPERBOLA
• A hyperbola can be defined as the locus of all points such that
the difference between the distance of each point from two
points known as the foci is constant. This is similar to an ellipse,
however whereas in an ellipse the distances sum to a constant,
here they subtract to one
• . A hyperbola can also be defined as the locus of all points such
that the distance of the point to the closest focus divided by the
distance to the directrix, a ratio known as the eccentricity, is a
constant greater than one.
