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Illustration of a conical bifrustum created by three parallel planes of circles with the middle plane largest. The top and bottom circles are congruent. It is constructed from two congruent frustums across a plane of symmetry.

Conical Bifrustum

Illustration of a conical bifrustum created by three parallel planes of circles with the middle plane…

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the cone.

Circle

Illustration showing a circle formed by the intersection of a plane perpendicular to the axis of the…

Illustration showing the definition of a circle as a conic section. The section of a right circular cone made by a plane that is perpendicular to the axis (or parallel to the base).

Conic Section Showing A Circle

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

An illustration showing the intersection of a plane and a cone. The cone is intersected by a plane parallel to the base, forming a circle.

Conic Section Showing A Circle

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

Illustration used to compare the volumes of a cone and a cylinder by emptying sand from the cone into the cylinder.

Comparative Volumes Of A Cone And Cylinder

Illustration used to compare the volumes of a cone and a cylinder by emptying sand from the cone into…

Illustration of a right circular cone that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Cone Cut By Plane

Illustration of a right circular cone that has been cut by a plane parallel to the base. The lower part…

Illustration of a right circular cone that has been cut by a plane parallel to the base. The top section has been removed and placed in front of the lower section. The lower part is known as the frustum.

Cone Cut By Plane

Illustration of a right circular cone that has been cut by a plane parallel to the base. The top section…

Illustration of a cone of revolution used to show that the lateral area is equal to half the product of the slant height by the circumference of the base.

Lateral Area of Cone of Revolution

Illustration of a cone of revolution used to show that the lateral area is equal to half the product…

Seeds falling from a cone

Cone Seeds

Seeds falling from a cone

Development and top completion exercise problem of the cone by dividing the base into equal parts and creating an arc to revolve the sides of the plane.

Development Exercise of Cone

Development and top completion exercise problem of the cone by dividing the base into equal parts and…

Pattern that can be used to make a cone. Development of a cone.

Development of a Cone

Pattern that can be used to make a cone. Development of a cone.

Illustration of the development of a cone. When the cone covered in paper (figure a) is rolled out on a flat surface, the result is shown in figure b.

Development Of Cone

Illustration of the development of a cone. When the cone covered in paper (figure a) is rolled out on…

Illustration of the development of a cone along a stretchout described with the radius OB.

Development Of Cone

Illustration of the development of a cone along a stretchout described with the radius OB.

Illustration of the development of a cone.

Development Of Cone

Illustration of the development of a cone.

Illustration of a double cone.

Double Cone

Illustration of a double cone.

Illustration of a frustum of a cone.

Frustum of a Cone

Illustration of a frustum of a cone.

Frustum of a cone.

Frustum of Cone

Frustum of a cone.

Frustum of a cone.

Frustum of Cone

Frustum of a cone.

Illustration of a frustum of a right circular cone with hidden edges shown. When a cone is cut by a plane parallel to the base, the lower part is known as the frustum.

Frustum of A Cone

Illustration of a frustum of a right circular cone with hidden edges shown. When a cone is cut by a…

Illustration of a frustum of a right circular cone. When a cone is cut by a plane parallel to the base, the lower part is known as the frustum.

Frustum of A Cone

Illustration of a frustum of a right circular cone. When a cone is cut by a plane parallel to the base,…

"The lateral area of a frustum of a cone of revolution is equal to half the sum of the circumferences of its bases multiplied by the slant height."

Frustum of Cone to Find Lateral Area

"The lateral area of a frustum of a cone of revolution is equal to half the sum of the circumferences…

"The volume of a frustum of a circular cone is equivalent to the sum of the volumes of three cones whose common altitude is the altitude of the frustum and whose bases are the lower base, the upper base, and the mean proportional between the bases of the frustum."

Frustum of Cone to Find Volume

"The volume of a frustum of a circular cone is equivalent to the sum of the volumes of three cones whose…

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.

Illustration showing the intersection of a plane with a cone. The solid is shown in perspective and the triangles that are to be located in the projections are represented in the drawing.

Intersection Of A Plane And Cone

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

Possible forms of the invariable cone by means of the intersections with a concentric spherical surface.

Invariable Cone

Possible forms of the invariable cone by means of the intersections with a concentric spherical surface.

Illustration of an oblique cone.

Oblique Cone

Illustration of an oblique cone.

Plan and elevation of a cone.

Plan and Elevation of a Cone

Plan and elevation of a cone.

Illustration of the intersection of a cone and a plane.

Intersection of a Cone and a Plane

Illustration of the intersection of a cone and a plane.

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

Plane Passing Through A Cone

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

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).

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).

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Plane Passing Through the Vertex of a Cone

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Plane Passing Through the Vertex of a Cone

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Illustration of the projection of a cone that is rightly inclined.

Projection Of Cone

Illustration of the projection of a cone that is rightly inclined.

Illustration of the projection of a cone that is obliquely inclined.

Projection Of Cone

Illustration of the projection of a cone that is obliquely inclined.

Illustration of a pyramid circumscribed about a cone.

Pyramid Circumscribed About a Cone

Illustration of a pyramid circumscribed about a cone.

Illustration of a pyramid and with a regular polygon inscribed in and circumscribed about a cone. "If a pyramid whose base is a regular polygon is inscribed in or circumscribed about a circular cone, and if the number of sides of the base of the pyramid is indefinitely increased, the volume of the cone is the limit of the volume of the pyramid, and the lateral area of the cone is the limit of the lateral area of the pyramid."

Cone With Regular Polygon Inscribed and Circumscribed About

Illustration of a pyramid and with a regular polygon inscribed in and circumscribed about a cone. "If…

Illustration of a pyramid inscribed in a cone.

Pyramid Inscribed in a Cone

Illustration of a pyramid inscribed in a cone.

Illustration of a cone of revolution.

Cone of Revolution

Illustration of a cone of revolution.

Illustration of a cone of revolution.

Cone of Revolution

Illustration of a cone of revolution.

Illustration of a right circular cone with the diameter of the base equal to the height of the cone.

Right Circular Cone

Illustration of a right circular cone with the diameter of the base equal to the height of the cone.

Illustration of a right circular cone with the diameter of the base greater than the height of the cone.

Right Circular Cone

Illustration of a right circular cone with the diameter of the base greater than the height of the cone.

Illustration of a right circular cone resting on an element such that the vertex is on the bottom and a vertical and horizontal element meet at a right angle.

Right Circular Cone on Side

Illustration of a right circular cone resting on an element such that the vertex is on the bottom and…

Illustration showing a cone rolled out on a plane.

Cone Rolled On Plane

Illustration showing a cone rolled out on a plane.

Illustration used to compare the volumes of a cone, a sphere, and a cylinder.

Comparative Volumes Of A Cone, Sphere, And Cylinder

Illustration used to compare the volumes of a cone, a sphere, and a cylinder.

Illustration of a plane tangent to a cone which contains one element of the cone but does not cut the surface.

Tangent Plane to a Cone

Illustration of a plane tangent to a cone which contains one element of the cone but does not cut the…

Illustration of a cone with a polygon inscribed used to show that the volume of a circular cone is equal to one third the product of its base by its altitude.

Volume of Cone

Illustration of a cone with a polygon inscribed used to show that the volume of a circular cone is equal…

A. A cone and two rods from the human retina (modified from Max Schultze); B. Outer part of rod separated into discs.

Cones and Rods of Retina

A. A cone and two rods from the human retina (modified from Max Schultze); B. Outer part of rod separated…

Illustration of 2 right circular cones that are similar.

2 Similar Right Circular Cones

Illustration of 2 right circular cones that are similar.

An exercise problem to complete the top and develop, stretched out, image of the flange and hood cones by using series of cone development.

Development Exercise of Flange and Hood Cones

An exercise problem to complete the top and develop, stretched out, image of the flange and hood cones…

Illustration of a right circular cone and an oblique cone.

Right and Oblique Cones

Illustration of a right circular cone and an oblique cone.

Instantaneous axis of two cones, each with angular velocity

Conic Motion

Instantaneous axis of two cones, each with angular velocity

"One end of the cup-adjusting hub, with inward bearings. The cones are formed of one piece with the spindles, and the adjusting cp C is screwed in the end of the hub shell, and locked in position by the screwed locking-ring R. The figure also illustrates a divided spindle for facilitating the removal of the tire for repair when required without disturbing the wheel, bearings, chain or gear-case. The chain side of the hub-spindle, not shown in the figure, is secured to the frame in the usual way; on the left side the spindle S projects very little beyond the adjusting cup. A distance washer W is placed between the end of the spindle S and the fork-end F. A detachable screw-pin, or the footstep, P, passes through the washer W, and is screwed into the end of the spindle S, the hexagod head of the detachable pin drawing all the parts securely together." — The Encyclopedia Britannica, 1910

Cup-adjusting Hub

"One end of the cup-adjusting hub, with inward bearings. The cones are formed of one piece with the…

An illustration showing a model of intersecting lines that that are formed by a double cone.

Intersecting Lines Of A Double Cone

An illustration showing a model of intersecting lines that that are formed by a double cone.

Illustration showing an ellipse formed by the intersection of the surface of a cone with a plane neither parallel nor perpendicular to a straight line of the surface of the cone nor the axis.

Ellipse

Illustration showing an ellipse formed by the intersection of the surface of a cone with a plane neither…

Illustration of a cone cut by a plane that is not parallel to the base and does not intersect the base.

Conic Section Ellipse

Illustration of a cone cut by a plane that is not parallel to the base and does not intersect the base.

Illustration showing the definition of an ellipse as a conic section. The plane cuts the cone obliquely.

Conic Section Showing Ellipse

Illustration showing the definition of an ellipse as a conic section. The plane cuts the cone obliquely.

Illustration showing the definition of an ellipse as a conic section. The section of a right circular cone made by a plane that cuts all the elements of the surface of the cone is an ellipse. The plane is neither parallel nor perpendicular to the axis.

Conic Section Showing An Ellipse

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

An illustration showing the intersection of a plane and a cone. The cone is intersected by a plane neither parallel to nor perpendicular to the base, nor parallel to a side. Thus forming an ellipse.

Conic Section Showing An Ellipse

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

If a cone be cut in a similar manner, the lower part is called the frustum of the cone.

Frustum

If a cone be cut in a similar manner, the lower part is called the frustum of the cone.