### 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 of an ellipse.

### 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…