A rolled out image of a cone by dividing the base in equal parts and arcs to measure the true lengths.

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

The cone is sliced by a circle in a plane perpendicular to the axis. This can be drawn without knowledge…

The cone is sliced by a ellipse by making an angle within the plane. This can be drawn with knowing…

The cone is sliced by a hyperbola within a plane. The angle of the hyperbola will make a smaller angle…

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

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

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

Diagram showing how to construct a conic when given the focus and the auxiliary circle. The focus is…

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

The illustration shows the cylinder rolled out in a tangent plane of the base to create a development…

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

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

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

Diagram of an ellipse that can used to illustrate the definition. "The constant ration between the distances…

Diagram that illustrates "The algebraic sum of the distances of any point from the foci of a conic is…

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

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

An illustration of a hexagonal prism rolled out, or "stretched out" in the straight line AB.

An image of a hexagonal pyramid stretched out. The length of the edges are equal plane, and intersects…

Diagram depicting a cone with both nappes intersected by plane J to form a hyperbola.

Any two conjugate diameters of an hyperbola are harmonic conjugates with regard to the asymptotes.

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

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

"An oblique cone connecting two parallel pipes of different diameters... the true size of the base is…

A development or rolled out oblique cone using triangulation. The method of triangulation is done by…

A stretched out image of the octagonal dome by using projection or with dividers to create a five-piece…

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

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

The illustration of a rectangular pyramid unfolded by creating edges equal length to the base and meeting…

An illustration in flattening the sphere using Gore method by creating cylinder sections with equal…

An illustration of a development of sphere using Zone method by creating sections of rolled out cones.