Illustration of a regular pyramid with a pentagon for a base.

Regular Pyramid With Pentagonal Base

Illustration of a regular pyramid with a pentagon for a base.

Illustration of a regular pyramid with a square for a base.

Regular Pyramid With Square Base

Illustration of a regular pyramid with a square for a base.

Illustration of a spherical pyramid.

Spherical Pyramid

Illustration of a spherical pyramid.

Plan, front, and side views of a square pyramid.

Square Pyramid

Plan, front, and side views of a square pyramid.

Plan, front, and side views of a square pyramid after revolving pyramid through 30° with vertical plane.

Square Pyramid Revolved 30°

Plan, front, and side views of a square pyramid after revolving pyramid through 30° with vertical…

Plan, front, and side views of a square pyramid after revolving pyramid through 30° with horizontal plane.

Square Pyramid Revolved 30°

Plan, front, and side views of a square pyramid after revolving pyramid through 30° with horizontal…

Illustration of triangular pyramid used to show that the volume is the limit of the sum of the volumes of a series of inscribed, or circumscribed prisms of equal altitude, if the number of prisms is indefinitely increased.

Triangular Pyramid For Volume

Illustration of triangular pyramid used to show that the volume is the limit of the sum of the volumes…

Illustration of triangular pyramid used to show that the volume is equal to one third of the product of its base by its altitude.

Triangular Pyramid For Volume

Illustration of triangular pyramid used to show that the volume is equal to one third of the product…

Illustration of 2 pyramids.

Pyramids

Illustration of 2 pyramids.

Illustration of 2 right pentagonal pyramids with hidden edges shown. The pentagonal bases are congruent, but the height of the smaller pyramid is one half that of the larger.

2 Right Pentagonal Pyramids

Illustration of 2 right pentagonal pyramids with hidden edges shown. The pentagonal bases are congruent,…

Illustration of 2 right rectangular pyramids with hidden edges shown. The rectangular bases are congruent, but the height of the smaller pyramid is one half that of the larger.

2 Right Rectangular Pyramids

Illustration of 2 right rectangular pyramids with hidden edges shown. The rectangular bases are congruent,…

Two triangular pyramids having equivalent bases and equal altitudes are equivalent.

Equivalent Triangular Pyramids

Two triangular pyramids having equivalent bases and equal altitudes are equivalent.

Illustration of pentagonal and triangular pyramids cut by a plane parallel to the bases.

Pyramids With Pentagonal and Triangular Bases

Illustration of pentagonal and triangular pyramids cut by a plane parallel to the bases.

Illustration of 2 regular pyramids.

Regular Pyramids

Illustration of 2 regular pyramids.

Illustration showing two rhombic pyramids.

Rhombic Pyramids

Illustration showing two rhombic pyramids.

Illustration of 2 similar right pentagonal pyramids with hidden edges shown. The height of the pyramid and length of the side of the pentagon (base) on the smaller pentagonal pyramid are one half that of the larger.

Similar Pentagonal Pyramids

Illustration of 2 similar right pentagonal pyramids with hidden edges shown. The height of the pyramid…

Illustration showing that the volume of 2 triangular pyramids, having the same trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of these trihedral angles.

Triangular Pyramids for Volume

Illustration showing that the volume of 2 triangular pyramids, having the same trihedral angle of the…

Illustration of the development of a rectangular prism. "Assume now that the prism is laid on the drawing board, the surface A face down, and the paper covering removed by turning the prism over and over, the paper remaining on the surface of the drawing board, as shown..."

Development Of Rectangular Prism

Illustration of the development of a rectangular prism. "Assume now that the prism is laid on the drawing…

Illustration of the projection of a rectangular prism that is represented as if it were standing on one of its small ends, with the broad side toward the observer.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism that is represented as if it were standing on…

Illustration of the projection of a rectangular prism whose broad side makes an angle of 30° with the horizontal.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism whose broad side makes an angle of 30° with…

Illustration of the projection of a rectangular prism whose base makes an angle of 160° with the horizontal.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism whose base makes an angle of 160° with the…

Illustration of the projection of a rectangular prism whose base makes an angle of 17.5° with the horizontal.

Projection Of Rectangular Prism

Illustration of the projection of a rectangular prism whose base makes an angle of 17.5° with the…

Projections of a rectangular prism or block.

Projections of Rectangular Prism

Projections of a rectangular prism or block.

Illustration of a 5 in. by 3 in. by 4 in. rectangular solid with each cube in the solid representing one cubic inch. This can be used when explaining volume.

Volume Of A Rectangular Solid

Illustration of a 5 in. by 3 in. by 4 in. rectangular solid with each cube in the solid representing…

Illustration of a 1 in. by 2 in. by 1 in. rectangular solid that is similar to a 2 in. by 4 in. by 2 in. rectangular solid.

Similar Rectangular Solids

Illustration of a 1 in. by 2 in. by 1 in. rectangular solid that is similar to a 2 in. by 4 in. by 2…

Illustration of a the bottom half of a regular dodecahedron. A regular dodecahedron is a polyhedron with twelve equal pentagonal faces.

Bottom Half of a Regular Dodecahedron

Illustration of a the bottom half of a regular dodecahedron. A regular dodecahedron is a polyhedron…

Projection of a round bar.

Projection of Round Bar

Projection of a round bar.

Illustration of a spherical sector.

Spherical Sector

Illustration of a spherical sector.

Illustration of a spherical segments.

Spherical Segments

Illustration of a spherical segments.

Illustration containing a tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron, placed next to each other.

Various Solid Forms

Illustration containing a tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron, placed…

Illustration of an irregular solid form made up of triangular surfaces on a flat surface.

Irregular Solid With Triangular Surfaces

Illustration of an irregular solid form made up of triangular surfaces on a flat surface.

Illustration of an irregular solid form made up of triangular surfaces unfolded on a flat surface. A is the center and the radius is equal to AB.

Irregular Solid With Triangular Surfaces

Illustration of an irregular solid form made up of triangular surfaces unfolded on a flat surface. A…

Illustration of an irregular solid form.

Irregular Solid

Illustration of an irregular solid form.

Illustration showing the development of a sphere by the perspective of its resolved cones.

Development Of Sphere

Illustration showing the development of a sphere by the perspective of its resolved cones.

Illustration of a sphere inscribed in a cube.

Sphere Inscribed in a Cube

Illustration of a sphere inscribed in a cube.

Illustration of a sphere inscribed in a cube.

Sphere Inscribed in a Cube

Illustration of a sphere inscribed in a cube.

Illustration showing that "the solids formed by the dissected part of the sphere are pyramids."

Sphere Formed By Pyramids

Illustration showing that "the solids formed by the dissected part of the sphere are pyramids."

Projection of a square bar.

Projection of Square Bar

Projection of a square bar.

Projection of a square bar with a cylindrical portion.

Projection of Square Bar With Cylindrical Portion

Projection of a square bar with a cylindrical portion.

Illustration used to show finding the volume of a square prism.

Volume Of Square Prism

Illustration used to show finding the volume of a square prism.

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

Intersection of Square Pyramid and a Plane

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

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

Intersection of Square Pyramid and a Plane

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

Pattern that can be cut out and folded to construct a regular tetrahedron. Fold on the dotted lines, and keep the edges in contact by the glued strips of paper.

Pattern for Tetrahedron

Pattern that can be cut out and folded to construct a regular tetrahedron. Fold on the dotted lines,…

The volumes of two similar tetrahedrons are to each other as the cubes of their homologous (corresponding) edges.

Similar Tetrahedrons

The volumes of two similar tetrahedrons are to each other as the cubes of their homologous (corresponding)…

Diagram used to prove the theorem: "Two tetrahedrons having a trihedral angle in each equal, are to each other as the products of the including edges."

Two Proportional Tetrahedrons

Diagram used to prove the theorem: "Two tetrahedrons having a trihedral angle in each equal, are to…

The exercise problem of creating a three piece elbow development or rolled out image of the cylinder using projections or with dividers.

Development Exercise of Cylinder using Three Piece Elbow

The exercise problem of creating a three piece elbow development or rolled out image of the cylinder…

Projections of a triangular prism or block.

Projections of Triangular Prism

Projections of a triangular prism or block.

Projections of a triangular prism or block with a square hole.

Projections of Triangular Prism With Hole

Projections of a triangular prism or block with a square hole.

Illustration used to show finding the volume of a triangular prism.

Volume Of Triangular Prism

Illustration used to show finding the volume of a triangular prism.

Diagram used to prove the theorem: "The volume of a triangular prism is equal to the product of its base and its altitude."

Volume of Triangular Prism

Diagram used to prove the theorem: "The volume of a triangular prism is equal to the product of its…

Exercise problem to develop, or rolled out, image of the triangular pyramid by creating an equal length of the edges of each triangle.

Development Exercise of Triangular Pyramid

Exercise problem to develop, or rolled out, image of the triangular pyramid by creating an equal length…

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

Intersection of Triangular Pyramid and a Plane

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

Diagram used to prove the theorem: "The volume of a triangular pyramid is equal to one third of a triangular prism of the same base and altitude."

Volume of Triangular Pyramid

Diagram used to prove the theorem: "The volume of a triangular pyramid is equal to one third of a triangular…

Diagram used to prove the theorem: "Two triangular pyramids having equivalent bases and equal altitudes are equivalent."

Equivalent Triangular Pyramids

Diagram used to prove the theorem: "Two triangular pyramids having equivalent bases and equal altitudes…

Illustration showing triclinic forms.

Triclinic

Illustration showing triclinic forms.

Projection of a turned block.

Projection of Turned Block

Projection of a turned block.

"The cone B would be developed by cutting a right section as S—S whose stretchout will be a circle are, location the elements on it and finding the true length of each from the vertex to the line of intersection." —French, 1911

Intersection of Two Cones

"The cone B would be developed by cutting a right section as S—S whose stretchout will be a circle…

Illustration of the projection of a wedge of a rectangular prism that is standing on one of its triangular sides.

Projection Of Wedge

Illustration of the projection of a wedge of a rectangular prism that is standing on one of its triangular…

Illustration of the projection of a wedge of a rectangular prism that is standing on one of its rectangular sides.

Projection Of Wedge

Illustration of the projection of a wedge of a rectangular prism that is standing on one of its rectangular…

Illustration of the projection of a wedge of a rectangular prism that is viewed from the side.

Projection Of Wedge

Illustration of the projection of a wedge of a rectangular prism that is viewed from the side.