ClipArt ETC
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 of a decagonal bifrustum created by three parallel planes of decagons with the middle plane largest. The top and bottom decagons are congruent. It can be constructed from two congruent frustums across a plane of symmetry, or as a bipyramid with truncated vertices.

Decagonal Bifrustum

Illustration of a decagonal bifrustum created by three parallel planes of decagons with the middle plane…

Illustration of a hexagonal bifrustum created by three parallel planes of hexagons with the middle plane largest. The top and bottom hexagons are congruent. It can be constructed from two congruent frustums across a plane of symmetry, or as a bipyramid with truncated vertices.

Hexagonal Bifrustum

Illustration of a hexagonal bifrustum created by three parallel planes of hexagons with the middle plane…

Illustration of a octagonal bifrustum created by three parallel planes of octagons with the middle plane largest. The top and bottom octagons are congruent. It can be constructed from two congruent frustums across a plane of symmetry, or as a bipyramid with truncated vertices.

Octagonal Bifrustum

Illustration of a octagonal bifrustum created by three parallel planes of octagons with the middle plane…

Illustration of a square bifrustum created by three parallel planes of squares with the middle plane largest. The top and bottom squares are congruent. It can be the combination of two congruent frustums across a plane of symmetry, or as a bipyramid with truncated vertices.

Square Bifrustum

Illustration of a square bifrustum created by three parallel planes of squares with the middle plane…

Mound in Puebla, Mexico.

Great Pyramid of Cholula

Mound in Puebla, Mexico.

Pyramid in Puebla, Mexico.

Great Pyramid of Cholula

Pyramid in Puebla, Mexico.

A cone is a solid whose base is a circle, and whose convex surface tapers uniformly to a point called the vertex. If a straight line be drawn on the cone from the vertex to the edge of the base, this line is ccalled the slant height.

Cone

A cone is a solid whose base is a circle, and whose convex surface tapers uniformly to a point called…

The length of the Dashur pyramid is approximately 200 feet.

Pyramid of Dashur

The length of the Dashur pyramid is approximately 200 feet.

Illustration of a decagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Decagonal Pyramid

Illustration of a decagonal pyramid that has been cut by a plane parallel to the base. The top section…

Illustration of a hollow decagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Decagonal Pyramid

Illustration of a hollow decagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a decagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid.

Frustum Of A Decagonal Pyramid

Illustration of a decagonal pyramid that has been cut by a plane parallel to the base. The top section…

Illustration of a hollow septagonal/heptagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Decagonal Pyramid

Illustration of a hollow septagonal/heptagonal pyramid that has been cut by a plane parallel to the…

Illustration showing a tetragonal deuteropyramid.

Tetragonal Deuteropyramid

Illustration showing a tetragonal deuteropyramid.

If a pyramid be cut by a plan parallel to the base, so as to form two parts, the lower part is called the frustum of the pyramid.

Frustum

If a pyramid be cut by a plan parallel to the base, so as to form two parts, the lower part is called…

Diagram used to prove the theorem: "The volume of the frustum of a pyramid (cone) is equal to the sum of three pyramids (cones) whose common altitude is the altitude of the frustum and whose bases are respectively the upper base, the lower base, and a mean proportional between them."

Volume of Frustum of a Pyramid

Diagram used to prove the theorem: "The volume of the frustum of a pyramid (cone) is equal to the sum…

Projection of a frustum of a square pyramid.

Projection of Frustum of Square Pyramid

Projection of a frustum of a square pyramid.

The frustum of a pyramid is the portion of a pyramid included between the base and a section parallel to the base.

Pyramid Frustum

The frustum of a pyramid is the portion of a pyramid included between the base and a section parallel…

The frustum of a triangular pyramid is equivalent to the sum of three pyramids 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 two bases of the frustum.

Triangular Pyramid Frustum

The frustum of a triangular pyramid is equivalent to the sum of three pyramids whose common altitude…

The Great Pyramid at Gizeh

Gizeh Pyramid

The Great Pyramid at Gizeh

Two pyramids and a sphinx near Gizeh, Egypt, built during the 25th century. These three structures rank high in superiority to other pyramids due to their size and magnificence.

Pyramids of Gizeh

Two pyramids and a sphinx near Gizeh, Egypt, built during the 25th century. These three structures rank…

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

Hexagonal Pyramid Cut By Plane

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The lower…

Construction of a regular hexagonal pyramid.

Construction of Hexagonal Pyramid

Construction of a regular hexagonal pyramid.

Illustration of a frustum of a hexagonal pyramid (including cross-section).

Frustum of Hexagonal Pyramid

Illustration of a frustum of a hexagonal pyramid (including cross-section).

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Hexagonal Pyramid

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid.

Frustum Of A Hexagonal Pyramid

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid.

Frustum Of A Hexagonal Pyramid

Illustration of a right hexagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a skewed hexagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Skewed Hexagonal Pyramid

Illustration of a skewed hexagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of the intersection of a hexagonal pyramid and a plane.

Intersection of Hexagonal Pyramid and a Plane

Illustration of the intersection of a hexagonal pyramid and a plane.

Illustration of the projection of a hexagonal pyramid that is in a right position.

Projection Of Hexagonal Pyramid

Illustration of the projection of a hexagonal pyramid that is in a right position.

Illustration of the projection of a hexagonal pyramid that is obliquely inclined.

Projection Of Hexagonal Pyramid

Illustration of the projection of a hexagonal pyramid that is obliquely inclined.

Illustration of an icosahedron.

Icosahedron

Illustration of an icosahedron.

Illustration of the bottom part of an icosahedron. The base consists of a regular pyramid, upon which equilateral triangles are inserted to form the next section of the icosahedron.

Part of an Icosahedron

Illustration of the bottom part of an icosahedron. The base consists of a regular pyramid, upon which…

Illustration of the steps to a construction of an icosahedron. The base consists of a regular pyramid, upon which equilateral triangles are inserted to form the next section of the icosahedron, followed by another pyramid.

Partial Construction of an Icosahedron

Illustration of the steps to a construction of an icosahedron. The base consists of a regular pyramid,…

Illustration of a hollow nonagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Nonagonal Pyramid

Illustration of a hollow nonagonal pyramid that has been cut by a plane parallel to the base. The top…

A problem exercise creating a stretched out or developed image of the octagonal light shade by using the hexagonal pyramid development method.

Development Exercise of Octagonal Light Shade

A problem exercise creating a stretched out or developed image of the octagonal light shade by using…

Illustration of a right octagonal pyramid, with hidden edges shown, that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Octagonal Pyramid Cut By Plane

Illustration of a right octagonal pyramid, with hidden edges shown, that has been cut by a plane parallel…

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

Octagonal Pyramid Cut By Plane

Illustration of a right octagonal pyramid that has been cut by a plane parallel to the base. The lower…

Illustration of a hollow octagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Octagonal Pyramid

Illustration of a hollow octagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a frustum of a pentagonal pyramid (including cross-section).

Frustum of Pentagonal Pyramid

Illustration of a frustum of a pentagonal pyramid (including cross-section).

Illustration of a right pentagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Pentagonal Pyramid

Illustration of a right pentagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a hollow pentagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Pentagonal Pyramid

Illustration of a hollow pentagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right pentagonal pyramid, with a height much larger than the edge lengths of the base, that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Pentagonal Pyramid

Illustration of a right pentagonal pyramid, with a height much larger than the edge lengths of the base,…

Illustration of a right pentagonal pyramid, with a height smaller than the edge lengths of the base, that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Pentagonal Pyramid

Illustration of a right pentagonal pyramid, with a height smaller than the edge lengths of the base,…

Illustration of a hollow pentagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Pentagonal Pyramid

Illustration of a hollow pentagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a skewed pentagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Skewed Pentagonal Pyramid

Illustration of a skewed pentagonal pyramid that has been cut by a plane parallel to the base. The top…

Diagram used to prove the theorem: "If a pyramid is cut by a plane parallel to the base, the edges are divided proportionally, and the section is a polygon similar to the base."

Pyramid Cut By Plane

Diagram used to prove the theorem: "If a pyramid is cut by a plane parallel to the base, the edges are…

A volume of a truncated right triangular prism is equal to the product of its base by one third the sum of its lateral edges.

Truncated Right Triangular Prism for Volume

A volume of a truncated right triangular prism is equal to the product of its base by one third the…

A volume of a truncated right triangular prism is equal to the product of its base by one third the sum of its lateral edges.

Truncated Right Triangular Prism for Volume

A volume of a truncated right triangular prism is equal to the product of its base by one third the…

Diagram showing how "A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three vertices of the upper base."

Truncated Triangular Prism

Diagram showing how "A truncated triangular prism is equivalent to the sum of three pyramids whose common…

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base of the prism and whose vertices are the three vertices of the inclined section.

Truncated Triangular Prism for Volume

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base…

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base of the prism and whose vertices are the three vertices of the inclined section.

Truncated Triangular Prism for Volume

A truncated triangular prism is equivalent to the sum of three pyramids, whose common base is the base…

A pyramid is a solid whose base is a plan figure, and whose sides are triangles uniting at a common point, called the vertex. If a straight line be drawn on one of the sides of a pyramid from the vertex so as to be perpendicular to one edge of the base, this line is called the slant height.

Pyramid

A pyramid is a solid whose base is a plan figure, and whose sides are triangles uniting at a common…

Illustration used to compare the volumes of a pyramid and a prism by emptying sand from the pyramid into the prism.

Comparative Volumes Of A Pyramid And Prism

Illustration used to compare the volumes of a pyramid and a prism by emptying sand from the pyramid…

Illustration showing the cone being treated as a many-sided pyramid.

Relation Of Pyramid To Cone

Illustration showing the cone being treated as a many-sided pyramid.

Illustration of a right decagonal pyramid. The base is a decagon and the faces are isosceles triangles. The hidden edges are shown in this illustration.

Decagonal Pyramid

Illustration of a right decagonal pyramid. The base is a decagon and the faces are isosceles triangles.…

A sample exercise problem in completing the top part of the hexagonal pyramid and to create a development, or stretched out, of the image by creating edges at equal lengths, and revolving the sides.

Development Exercise of Hexagonal Pyramid

A sample exercise problem in completing the top part of the hexagonal pyramid and to create a development,…

A pentagonal pyramid problem exercise to complete the top view of the image, and development, or rolled out image, of the pyramid.

Development Exercise of Pentagonal Pyramid

A pentagonal pyramid problem exercise to complete the top view of the image, and development, or rolled…

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

Development Of Pyramid

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

Illustration showing a ditetragonal pyramid.

Ditetragonal Pyramid

Illustration showing a ditetragonal pyramid.