Illustration of pattern showing steps to make a barn. The barn is a composite figure made up of a triangular prism and a rectangular solid.

Pattern To Make A Barn

Illustration of pattern showing steps to make a barn. The barn is a composite figure made up of a triangular…

Isometric of a box with a cover.

Isometric of a Box With a Cover

Isometric of a box with a cover.

Isometric of a box with a cover - end view.

Isometric of a Box With a Cover

Isometric of a box with a cover - end view.

Illustration of the isometric of a skeleton of a box.

Isometric Of A Box

Illustration of the isometric of a skeleton of a box.

Illustration of pattern showing steps to make a box.

Pattern To Make A Box

Illustration of pattern showing steps to make a box.

Illustration of the isometric of a carpenter's bench.

Isometric Of A Carpenter's Bench

Illustration of the isometric of a carpenter's bench.

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…

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 3-dimensional cube with hidden edges shown.

Cube

Illustration of 3-dimensional cube with hidden edges shown.

An exercise problem in creating a development or rolled out surface of a cylinder in a 4" by 5" drawing area.

Development Exercise of Cylinder

An exercise problem in creating a development or rolled out surface of a cylinder in a 4" by 5" drawing…

Illustration of the isometric of a hollow cylinder.

Hollow Cylinder

Illustration of the isometric of a hollow cylinder.

Illustration of a shaded section of a hollow cylinder viewed from the side.

Hollow Cylinder

Illustration of a shaded section of a hollow cylinder viewed from the side.

Illustration of an oblique view of a hollow cylinder.

Oblique View Of Hollow Cylinder

Illustration of an oblique view of a hollow cylinder.

Illustration of an oblique view of a hollow cylinder. The portion removed from the center of the cylinder is in the shape of a rectangular prism.

Oblique View Of Hollow Cylinder

Illustration of an oblique view of a hollow cylinder. The portion removed from the center of the cylinder…

Illustration of a prism circumscribed about a cylinder.

Prism Circumscribed About A Cylinder

Illustration of a prism circumscribed about a cylinder.

Illustration of a pentagonal prism inscribed in a cylinder.

Prism inscribed in Cylinder

Illustration of a pentagonal prism inscribed in a cylinder.

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

Volume Of Cylinder

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

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid by inserting a decagonal prism between the two congruent halves.

Elongated Decagonal Dipyramid

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid…

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid by inserting a decagonal prism between the two congruent halves.

Elongated Decagonal Dipyramid

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid…

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid by inserting a decagonal prism between the two congruent halves.

Elongated Decagonal Dipyramid

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid…

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal bipyramid by inserting a heptagonal prism between the two congruent halves.

Elongated Heptagonal/Septagonal Dipyramid

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal…

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal bipyramid by inserting a heptagonal prism between the two congruent halves.

Elongated Heptagonal/Septagonal Dipyramid

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal…

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal bipyramid by inserting a heptagonal prism between the two congruent halves.

Elongated Heptagonal/Septagonal Dipyramid

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal…

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid by inserting a hexagonal prism between the two congruent halves.

Elongated Hexagonal Dipyramid

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid…

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid by inserting a hexagonal prism between the two congruent halves.

Elongated Hexagonal Dipyramid

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid…

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid by inserting a hexagonal prism between the two congruent halves.

Elongated Hexagonal Dipyramid

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid…

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid by inserting a nonagonal prism between the two congruent halves.

Elongated Nonagonal Dipyramid

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid…

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid by inserting a nonagonal prism between the two congruent halves.

Elongated Nonagonal Dipyramid

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid…

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting a square prism between the two congruent halves.

Elongated Square Dipyramid

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting…

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting a square prism between the two congruent halves. The elongated dipyramid pictured here is tilted, or rotated, approximately 45°.

Elongated Square Dipyramid

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting…

A development or rolled out image exercise problem of the dome and finding the true shape of the hip, or edge, of the dome by using projections or with dividers.

Development Exercise of Dome and True Shape of Hip

A development or rolled out image exercise problem of the dome and finding the true shape of the hip,…

Illustration of the projection of a hexagonal prism.

Projection Of Hexagonal Prism

Illustration of the projection of a hexagonal prism.

Projection of a hexagonal bar.

Projection of Hexagonal Bar

Projection of a hexagonal bar.

Projection of a hexagonal nut.

Projection of Hexagonal Nut

Projection of a hexagonal nut.

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

Development of Hexagonal Prism

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

Illustration of the projection of a hexagonal prism.

Projection Of Hexagonal Prism

Illustration of the projection of a hexagonal prism.

Illustration of the projection of a hexagonal prism having two of its parallel sides parallel to the plane of the paper, and its axis vertical. instead of a side elevation at right angles to the horizontal, the angle is 30° with the horizontal.

Projection Of Hexagonal Prism

Illustration of the projection of a hexagonal prism having two of its parallel sides parallel to the…

Illustration of the projection of a hexagonal prism whose axis is parallel to the plane of the paper and whose base makes and angle of 30° with the horizontal.

Projection Of Hexagonal Prism

Illustration of the projection of a hexagonal prism whose axis is parallel to the plane of the paper…

Pattern that can be used to make a hollow rectangular prism. Development of hollow rectangular prism.

Development of Hollow Rectangular Prism

Pattern that can be used to make a hollow rectangular prism. Development of hollow rectangular prism.

Illustration of pattern showing steps to make a house. The house is a composite figure made up of a triangular prism and a rectangular solid.

Pattern To Make A House

Illustration of pattern showing steps to make a house. The house is a composite figure made up of a…

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 showing the intersection of a plane with an octagonal prism.

Plane Intersecting Octagonal Prism

Illustration showing the intersection of a plane with an octagonal prism.

Problem exercise in drawing a development or a stretchout image of the octagonal roof and finding the true shape of hip rafter by using projections or dividers.

Development Exercise of Octagonal Roof and True Shape of Rafter

Problem exercise in drawing a development or a stretchout image of the octagonal roof and finding the…

Illustration of a parallelopiped - a prism with a parallelogram as its base

Parallelopiped

Illustration of a parallelopiped - a prism with a parallelogram as its base

Illustration of a parallelopiped - a prism with a parallelogram as its base

Parallelopiped

Illustration of a parallelopiped - a prism with a parallelogram as its base

Diagram used to prove the theorem: "The opposite faces of a parallelopiped are equal and parallel."

Equal and Parallel Opposite Faces of a Parallelopiped

Diagram used to prove the theorem: "The opposite faces of a parallelopiped are equal and parallel."

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane divides the parallelopiped into two equivalent triangular prisms.

Parallelopiped with Plane Passing Through

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane…

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane divides the parallelopiped into two equivalent triangular prisms.

Parallelopiped with Plane Passing Through

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane…

Illustration of a parallelopiped (a prism with a parallelogram as its base) used to demonstrate that the volume of any parallelopiped is equal to the product of its base by its altitude.

Parallelopiped Showing Volume

Illustration of a parallelopiped (a prism with a parallelogram as its base) used to demonstrate that…

Diagram used to prove the theorem: "The rectangular parallelopipeds which have two dimensions in common are to each other as their third dimension."

Relationship Between 2 Parallelopipeds With Equal Altitudes

Diagram used to prove the theorem: "The rectangular parallelopipeds which have two dimensions in common…

Diagram used to prove the theorem: "The rectangular parallelopipeds are to each other as the product of their three dimensions."

Relationship Between Dimensions of Parallelopipeds

Diagram used to prove the theorem: "The rectangular parallelopipeds are to each other as the product…

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

Volume of Parallelopiped

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

Diagram used to prove the theorem: "The volume of a rectangular parallelopiped is equal to the product of its three dimensions."

Volume of Rectangular Parallelopiped

Diagram used to prove the theorem: "The volume of a rectangular parallelopiped is equal to the product…

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

Volume Of Pentagonal Prism

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

Illustration of a prism - a polyhedron of which two faces are equal polygons in parallel planes, and the other faces are parallelograms.

Prism

Illustration of a prism - a polyhedron of which two faces are equal polygons in parallel planes, and…

An exercise developed to draw a rolled out or development of the pentagon prism in a 4" by 5" surface.

Pentagon Development Prism Exercise

An exercise developed to draw a rolled out or development of the pentagon prism in a 4" by 5" surface.

An exercise in drawing a pentagonal prism development or rolled out image in a 4" by 5" area.

Pentagonal Prism Development Exercise

An exercise in drawing a pentagonal prism development or rolled out image in a 4" by 5" area.

An illustration to exercise a stretched out, or development, image of the triangular prism using 4" by 5 " surface.

Triangular Prism Development Exercise

An illustration to exercise a stretched out, or development, image of the triangular prism using 4"…

An illustration to draw triangle prism's development, or stretched out surfaces, in a 4" by 5" surface.

Triangle Prism Exercise

An illustration to draw triangle prism's development, or stretched out surfaces, in a 4" by 5" surface.

"...a tube with a slit at the further end through which the light enters, and at the other end a collimating lens which brings the rays into a parallel beam (the slit is formed between two parallel edges the distance between which can be varied at will)..." —Whitney, 1889

Prism Spectroscope from the Late 19th Century

"...a tube with a slit at the further end through which the light enters, and at the other end a collimating…