### Conic Section Showing A Circle

Illustration showing the definition of a circle as a conic section. The section of a right circular…

### Conic Section Showing A Circle

An illustration showing the intersection of a plane and a cone. The cone is intersected by a plane parallel…

### Intersection Of A Plane And Cone

Illustration showing the intersection of a plane with a cone.

### Intersection Of A Plane And Cone

Illustration showing the intersection of a plane with a cone. The solid is shown in perspective and…

### Plane Passing Through A Cone

Illustration showing a cone cut by a plane that is along the axis of symmetry.

### Conic Axes

Conjugate diameters perpendicular to each other are called, axes, and the points where they cut the…

### Conic Involution

The lines which join corresponding points in an involution on a conic all pass through a fixed point;…

### Cone depicting Conic Sections

Diagram of a cone with spheres and cut by a plane to depict the conic sections.

### Ellipse

One of the three species of conic sections is the ellipse.

### Corresponding Points in an Ellipse and Circle

Illustration of half of an ellipse. "The ordinates of two corresponding points in an ellipse and its…

### Construction of Ellipse by Describing Circles

Illustration used to draw a an ellipse using string and pins by describing a circles with diameters…

### 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…

### Construction of Ellipse Using String

Illustration used to draw a an ellipse using string and pins.

### Area of an Ellipse

Illustration of half of an ellipse used to show that the area of an ellipse is equal to pi times a times…

### Conic Section Showing an Ellipse

Illustration showing the definition of an ellipse as a conic section. "The section of a right circular…

### Conic Section Showing an Ellipse

Illustration showing the definition of an ellipse as a conic section. "The section of a right circular…

### Conic Section Showing An Ellipse

Illustration showing the definition of an ellipse as a conic section. The section of a right circular…

### Conic Section Showing An Ellipse

An illustration showing the intersection of a plane and a cone. The cone is intersected by a plane neither…

### Conjugate Diameters of an Ellipse

Illustration showing that if one diameter is conjugate to a second, the second is conjugate to the first.

### Construction of an Ellipse

Illustration of half of an ellipse and its auxiliary circle used to construct an ellipse by points,…

### 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 Ellipse

Illustration used to show how to draw an ellipse when given the diameters.

### Construction Of Ellipse

Illustration used to show how to draw an ellipse by circular arcs.

### Construction of Ellipse

Illustration used to draw a an ellipse with major axis AB and minor axis CD.

### Demonstration of Ellipse Definition

Illustration showing the definition of an ellipse. "An ellipse is a curve which is the locus of a point…

### Focal Radii of an Ellipse

Illustration of half of an ellipse. "If d denotes the abscissa of a point of an ellipse, r and r' its…

### Ellipse With Parts Labeled

Illustration of an ellipse with foci F' and F, major axis A' to A, minor axis B' to B, and center O.

### Line Bisecting Angle Between Focal Radii on Ellipse

Illustration of half of an ellipse. "If through a point P of an ellipse a line is drawn bisecting the…

### Ordinate and Major Axis of Ellipse

Illustration of half of an ellipse. The square of the ordinate of a point in an ellipse is to the product…

### Parallel Tangents to an Ellipse

Illustration showing that tangents drawn at the ends of any diameter are parallel to each other.

### Point Distances to Foci on Ellipse

Illustration of half of an ellipse. "The sum of the distances of any point from the foci of an ellipse…

### Tangent From External Point to an Ellipse

Illustration of how to draw a tangent to an ellipse from an external point.

### Tangents to an Ellipse

Illustration showing the tangents drawn at two corresponding points of an ellipse and its auxiliary…

### Gyroscope

A gyroscope that is rotated to form an ellipse.

### Asymptotes of a Hyperbola

Illustration showing the asymptotes of a hyperbola. The asymptotes will never meet the curve.

### Auxiliary Circle and Hyperbola

Illustration of a hyperbola and its auxiliary circle. "Any ordinate of a hyperbola is to the tangent…

### Conic Section Showing an Hyperbola

Illustration showing the definition of an hyperbola as a conic section. "The section of a right circular…

### Conic Section Showing A Hyperbola

Illustration showing the definition of an hyperbola as a conic section. A hyperbola is formed from a…

### Conic Section Showing A Hyperbola

An illustration showing the intersection of a plane and a double cone. The cone is intersected by a…

### Conjugate Axis of a Hyperbola

Illustration showing how the a hyperbola is symmetrical with respect to its conjugate axis.

### Construction of Hyperbola

Illustration showing how a hyperbola con be constructed by points, having been given the foci and the…

### Demonstration of Hyperbola Definition

Illustration showing the definition of an hyperbola. "An hyperbola may be described by the continuous…

### Foci Distance of Hyperbola

Illustration of a hyperbola with distances to foci drawn. "The difference of the distances of any point…

### Line Bisecting Angle Between Focal Radii in Hyperbola

Illustration of a hyperbola with a line bisecting the focal radii. "If through a point P of an hyperbola…

### Point on a Hyperbola

Illustration of a point on a hyperbola. "If d denotes the abscissa (x-coordinate) of a point of an hyperbola,…

### Tangent to Hyperbola

Illustration showing how to draw a tangent to an hyperbola from a given point P on the convex side of…

### Hyperbola Tangent Triangles

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

### Construction Of Oval

Illustration used to show how to draw an egg-shaped oval when given the diameters.

### Conic Section Showing Parabola

Illustration showing the definition of a parabola as a conic section. "The section of a right circular…

### Conic Section Showing Parabola

Illustration showing the definition of a parabola as a conic section. "The section of a right circular…

### Conic Section Showing A Parabola

Illustration showing the definition of a parabola as a conic section. The section of a right circular…

### Conic Section Showing A Parabola

An illustration showing the intersection of a plane and a cone. The cone is intersected by a plane parallel…

### Construction Of Parabola

Illustration used to show how to draw a parabola when the axis and longest double ordinate is given.

### Parabola With Coordinates and Latus Rectum

Illustration of a parabola showing that any point of a parabola is the mean proportional between the…

### Parabola With Focus and Directrix

Illustration of a parabola - a curve which is the locus of a point that moves in a plane so that its…

### Parabola With Focus and Directrix

Illustration of a parabola - a curve which is the locus of a point that moves in a plane so that its…