Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism is one half that of the larger.

2 Rectangular Prisms

Illustration of 2 right rectangular prisms. The bases are congruent, but the height of the smaller prism…

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller prism are one half that of the larger.

2 Similar Octagonal Prisms

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller…

A cluster of 4 right hexagonal prisms with congruent bases, but varying heights.

4 Hexagonal Prisms

A cluster of 4 right hexagonal prisms with congruent bases, but varying heights.

Illustration showing two prisms are equal if the three faces which include a trihedral angle of the one are respectively equal to three faces which include a trihedral angle of the other, and are similarly placed.

Equal Prisms

Illustration showing two prisms are equal if the three faces which include a trihedral angle of the…

Illustration of an oblique prism constructed by the combination of three truncated prisms.

Oblique Prism Truncated Into 3 Sections

Illustration of an oblique prism constructed by the combination of three truncated prisms.

Illustration of 2 parallelopipeds/rectangular prisms.

Rectangular prisms

Illustration of 2 parallelopipeds/rectangular prisms.

Illustration of 3 parallelopipeds/rectangular prisms.

Rectangular prisms

Illustration of 3 parallelopipeds/rectangular prisms.

Illustration of 2 rectangular prism used to show volume.

Rectangular Prisms Showing Volume

Illustration of 2 rectangular prism used to show volume.

Illustration of 2 similar right decagonal prisms. Both have regular decagons for bases and rectangular faces. The height of the prism and length of the side of the decagon on the smaller decagonal prism are one half that of the larger.

Similar Decagonal Prisms

Illustration of 2 similar right decagonal prisms. Both have regular decagons for bases and rectangular…

Illustration of 2 similar right heptagonal/septagonal prisms. Both have regular heptagons/septagons for bases and rectangular faces. The height of the prism and length of the side of the heptagon on the smaller heptagonal prism are one half that of the larger.

Similar Heptagonal/Septagonal Prisms

Illustration of 2 similar right heptagonal/septagonal prisms. Both have regular heptagons/septagons…

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of the hexagon on the smaller hexagonal prism are one half that of the larger.

Similar Hexagonal Prisms

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of…

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of the hexagon on the smaller hexagonal prism are one half that of the larger.

Similar Hexagonal Prisms

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of…

Diagram used to prove the theorem: "Two prisms are equal when the three faces about a trihedral of one are equal respectively to the three faces about a trihedral of the other, and similarly arranged."

Two Equal Prisms

Diagram used to prove the theorem: "Two prisms are equal when the three faces about a trihedral of one…

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…

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 sample exercise problem to complete the top part and create a stretched out image of the oblique hexagonal pyramid. The stretched out image is created by drawing an arc with the perimeter of the base stepped off to create an intersection point.

Development Exercise of Oblique Hexagonal Pyramid

A sample exercise problem to complete the top part and create a stretched out image of the oblique hexagonal…

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…

The problem exercise in completing the top view and creating the development, or rolled out, image of the pentagonal pyramid.

Development Exercise of Pentagonal Pyramid

The problem exercise in completing the top view and creating the development, or rolled out, image of…

Illustration of the isometric of an oblique pentagonal pyramid.

Isometric of Oblique Pentagonal Pyramid

Illustration of the isometric of an oblique pentagonal pyramid.

Illustration of a plan and elevation of an oblique pentagonal pyramid.

Oblique Pentagonal Pyramid

Illustration of a plan and elevation of an oblique pentagonal pyramid.

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 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…

Isometric of a prism with a semicircular top.

Prism With Semicircular Top

Isometric of a prism with a semicircular top.

Illustration of an oblique view of a rectangular solid/prism at 30°.

Oblique View Of Rectangular Solid

Illustration of an oblique view of a rectangular solid/prism at 30°.

Illustration of an oblique view of a rectangular solid/prism at 45°.

Oblique View Of Rectangular Solid

Illustration of an oblique view of a rectangular solid/prism at 45°.

Illustration of an oblique view of a rectangular solid/prism at 60°.

Oblique View Of Rectangular Solid

Illustration of an oblique view of a rectangular solid/prism at 60°.

Various geometric solids, mostly rectangular prisms with a cylinder and a hexagonal prism.

Solids

Various geometric solids, mostly rectangular prisms with a cylinder and a hexagonal prism.

Illustration of model created by combining non regular geometric solids.

Combination of Geometric Solids

Illustration of model created by combining non regular geometric solids.

"...an instrument which gives a spectrum when the source of the light is in a straight line with the eye—that is, which gives dispersion without deviation—is called a direct vision spectroscope..." —Whitney, 1889

Direct Vision Spectroscope

"...an instrument which gives a spectrum when the source of the light is in a straight line with the…

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 stairs; 3-dimensional view of 4 steps. The staircase can be created by combining/stacking various sizes of rectangular solids.

Isometric of Stairs

Illustration of stairs; 3-dimensional view of 4 steps. The staircase can be created by combining/stacking…

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…

Diagram used to prove the theorem: "The plane passed through two diagonally opposite edges of a parallelopiped divides it into two equivalent triangular prisms."

Parallelopiped Divided Into Triangular Prisms

Diagram used to prove the theorem: "The plane passed through two diagonally opposite edges of a parallelopiped…

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…

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…

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.