 ### Circle

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the… ### Plane Parallel to Base, Passing Through a Cone

Illustration of a plane parallel to the base passing through a cone (section made is a circle). ### Plane Parallel to Base, Passing Through a Cone

Illustration of a plane parallel to the base passing through a cone (section made is a circle). ### Conic Sections

Conic sections, cones divided by a plane. ### Cone depicting Conic Sections

Diagram of a cone with inscribed spheres and cut by various planes to depict the conic sections: circle,… ### Construction of a Conic

Diagram showing how to construct a conic when given the focus and the auxiliary circle. If the focus… ### Focus In Auxiliary Circle of Conic

Diagram showing how to construct a conic when given the focus and the auxiliary circle. The focus is… ### Focus In Auxiliary Circle of Conic

Diagram showing how to construct a conic when given the focus and the auxiliary circle. As the focus… ### Ellipse

Illustration of an ellipse with major and minor axes, foci, and points on the ellipse. "An ellipse is… ### Ellipse

Illustration showing an ellipse formed by the intersection of the surface of a cone with a plane neither… ### Construction Of An Ellipse Tangent To Two Parallel Lines

An illustration showing how to construct an ellipse parallel to two parallel lines A and B. "Draw a… ### Conic Section Ellipse

Illustration of a cone cut by a plane that is not parallel to the base and does not intersect the base. ### Conic Section Showing Ellipse

Illustration showing the definition of an ellipse as a conic section. The plane cuts the cone obliquely. ### Construction Of An Ellipse

An illustration showing how to construct an ellipse. "With a as a center, draw two concentric circles… ### Construction Of An Ellipse

An illustration showing how to construct an ellipse using a string. "Having given the two axes, set… ### Construction Of An Ellipse

An illustration showing how to construct an ellipse using circle arcs. "Divide the long axis into three… ### Construction Of An Ellipse

An illustration showing how to construct an ellipse using circle arcs. "Given the two axes, set off… ### Construction Of An Ellipse

An illustration showing how to construct an ellipse. Given the two axes, set off half the long axis… ### Construction of an Ellipse

Diagram showing how to construct an ellipse when given the two foci and the length of the major axis… ### Definition of Ellipse

Diagram of an ellipse that can used to illustrate the definition. "The constant ration between the distances… ### Foci Distances on an Ellipse

Diagram that illustrates "The algebraic sum of the distances of any point from the foci of a conic is… ### Graph of Ellipse with Foci and Center Labeled

A graph of tan ellipse with Foci and Center. ### Ellipse With Parts Labeled

Illustration of ellipse with parts labeled. ### Parts of Ellipse

Diagram of an ellipse that can used to illustrate the different parts. Segment MN is the major axis,… ### Tangent to an Ellipse

Diagram an ellipse with a tangent line that illustrates "A line through a point on the ellipse and bisecting… ### Hyperbola

One of the three species of conic sections is the hyperbola. ### Hyperbola

Illustration showing a hyperbola as a curve formed by the intersection of the surface of a cone with… ### Cone Intersected by a Plane to Form a Hyperbola

Diagram depicting a cone with both nappes intersected by plane J to form a hyperbola. ### Conic Section Hyperbola

Illustration of a cone cut by a plane parallel to the axis of the cone and perpendicular to the vertical… ### Conic Section Showing Hyperbola

Illustration showing the definition of a hyperbola as a conic section. ### Construction of a Hyperbola

Diagram showing how to construct a hyperbola when given the two foci and the length of the major axis… ### Tangent to a Hyperbola

Diagram part of a hyperbola with a tangent line that illustrates "A line through a point on the hyperbola… ### Hyperbola Tangent Triangles

All triangles formed by a tangent and the asymptotes of an hyperbola are equal in area. ### Conic Foci Involution

The lines joining any point on a conic to the two foci are equally inclined to the tangent and normal… ### Parabola

One of the three species of conic sections is the parabola. ### Parabola

Illustration showing a parabola as a curve formed by the intersection of the surface of a cone with… ### Parabola Foci Properties

The segments between the point of intersection of two tangents to a conic and their points of contact… ### Cone Intersected by a Plane to Form a Parabola

Diagram of a cone intersected by plane J to form a parabola. Also pictured is a circle formed by the… ### Conic Section Parabola

Illustration of a cone cut by a plane that is parallel to one of the elements of the cone. The curve… ### Conic Section Showing Parabola

Illustration showing the definition of a parabola as a conic section. The plane cuts the cone parallel… ### Construction of a Parabola

Diagram showing how to construct a parabola when given the directrix (d), the focus (F) and the eccentricity… ### Degenerate Conic Forming Triangle

Illustration showing intersecting straight lines meeting to form a triangle. It is formed by the intersection…