 ### 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… ### Corresponding Points in an Ellipse and Circle

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

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… ### 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… ### 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 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. ### 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,… ### 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. ### Tangent to an Ellipse

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

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

Illustration of a hyperbola and its auxiliary circle. "Any ordinate of a hyperbola is to the tangent… ### Cone Intersected by a Plane to Form a Hyperbola

Diagram depicting a cone with both nappes intersected by plane J to form a hyperbola. ### 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… ### Construction of a Hyperbola

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

Diagram part of a hyperbola with a tangent line that illustrates "A line through a point on the hyperbola… ### Conic Foci Involution

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

"The foci of concave mirrors may be in front of the mirror, in which case they are real; or they may… ### Convex Mirror

"A convex mirror is generally a part of the other surface of a spherical shell. It increases the divergence,… ### Parabola Foci Properties

The segments between the point of intersection of two tangents to a conic and their points of contact…