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Right circular cylinder with a radius of 1 foot and a height/altitude of 2 feet.

Right Circular Cylinder With 1 ft. Radius and 2 ft. height.

Right circular cylinder with a radius of 1 foot and a height/altitude of 2 feet.

Illustration of the plan and shaded elevation of a cylinder. The cylinder is viewed from the side and top.

Side And Top Views Of A Cylinder

Illustration of the plan and shaded elevation of a cylinder. The cylinder is viewed from the side and…

Illustration of a cylinder showing, "If a piece of paper is fitted to cover the convex surface of a prism or a cylinder, and then unrolled, its form will be that of a rectangle, as ABCD."

Surfaces Of A Cylinder

Illustration of a cylinder showing, "If a piece of paper is fitted to cover the convex surface of a…

Illustration of a shaded vertical cylinder, viewed from the side.

Vertical Cylinder

Illustration of a shaded vertical cylinder, viewed from the side.

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 showing the intersection of two intersecting cylinders.

2 Intersecting Cylinders

Illustration showing the intersection of two intersecting cylinders.

Illustration of the intersection of 2 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of equal diameter.

Illustration of the intersection of 2 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of equal diameter.

Illustration of the intersection of 3 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 3 cylinders of equal diameter.

Illustration of the intersection of 2 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of equal diameter.

Illustration of the intersection of 2 cylinders of unequal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of unequal diameter.

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

Regular Dodecahedron

Illustration of a regular dodecahedron. A regular dodecahedron is a polyhedron with twelve equal pentagonal…

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,…

"The expansion of solids by heat is clearly shown by the following experiment: m represents a ring of metal, through which, at the ordinary temperature, a small iron or copper ball, a, will pass freely, this ball being a little less than the diameter of the ring. If this ball be now heated by the flame of an alcohol lame, it will be come so far expanded by heat as no longer to pass through the ring." —Wells, 1857

Expansion of Solids

"The expansion of solids by heat is clearly shown by the following experiment: m represents a ring of…

A flashcard featuring an illustration of a Cone

Flashcard of a Cone

A flashcard featuring an illustration of a Cone

A flashcard featuring an illustration of a Cube

Flashcard of a Cube

A flashcard featuring an illustration of a Cube

A flashcard featuring an illustration of a Cylinder

Flashcard of a Cylinder

A flashcard featuring an illustration of a Cylinder

A flashcard featuring an illustration of a Sphere

Flashcard of a Sphere

A flashcard featuring an illustration of a Sphere

"The part of any solid between two planes, which may be either parallel or inclined to each other: as, the frustum of a cone ... In the figure the dotted line, c, indicates the part of the cone cut off to form the frustum, f." -Whitney, 1911

Frustum of a Cone

"The part of any solid between two planes, which may be either parallel or inclined to each other: as,…

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.

An illustration of a prismatoid with circular base.

Geometric Solid with Circular Base

An illustration of a prismatoid with circular base.

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.

Construction of a regular hexagonal pyramid.

Construction of Hexagonal Pyramid

Construction of a regular hexagonal pyramid.

An image of a hexagonal pyramid stretched out. The length of the edges are equal plane, and intersects the at the perimeter of the base.

Development of Hexagonal Pyramid

An image of a hexagonal pyramid stretched out. The length of the edges are equal plane, and intersects…

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 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.

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.

Isometric outline of a house.

Isometric of a House

Isometric outline of a house.

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…

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 showing a general way the method of arranging the triangles on the irregular surface of solids is done.

Practical Projection Of An Irregular Solid

Illustration showing a general way the method of arranging the triangles on the irregular surface of…

Development of an isometric of a cube.

Development of an Isometric of a Cube

Development of an isometric of a cube.

"An oblique cone connecting two parallel pipes of different diameters... the true size of the base is not given in the top view and must be revolved until parallel to H."—French, 1911

Oblique Cone by Triangulation Connecting to Two Parallel Pipes of Different Diameters

"An oblique cone connecting two parallel pipes of different diameters... the true size of the base is…

A development or rolled out oblique cone using triangulation. The method of triangulation is done by creating series of triangles respect to the base.

Development of Oblique Cone by Triangulation

A development or rolled out oblique cone using triangulation. The method of triangulation is done by…

A stretched out image of the octagonal dome by using projection or with dividers to create a five-piece elbow.

Development of Octagonal Dome

A stretched out image of the octagonal dome by using projection or with dividers to create a five-piece…

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 regular octahedron. A polyhedron with eight equal faces.

Regular Octahedron

Illustration of a regular octahedron. A polyhedron with eight equal faces.

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."

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 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 spherical polygon.

Spherical Polygon

Illustration of a spherical polygon.

Illustration of a spherical polygon.

Spherical Polygon

Illustration of a spherical polygon.

Diagram used to prove the theorem: "Two similar polyhedrons may be decomposed into the same number of tetrahedrons, similar each to each , and similarly placed."

Two Similar Polyhedrons

Diagram used to prove the theorem: "Two similar polyhedrons may be decomposed into the same number of…

Illustration of the intersection of an octagonal prism and a cylinder. The figures intersect at an oblique angle.

Intersecting Prism and Cylinder

Illustration of the intersection of an octagonal prism and a cylinder. The figures intersect at an oblique…

Prism with hexagonal bases and dimensions 8 and 12 given.

Hexagonal Prism

Prism with hexagonal bases and dimensions 8 and 12 given.

Illustration of the intersection of a prism and a plane.

Intersection of a Prism and a Plane

Illustration of the intersection of a prism and a plane.

Prism with rectangular bases and cubes drawn in.

Rectangular Prism

Prism with rectangular bases and cubes drawn in.

Prism with triangular bases.

Right Triangular Prism

Prism with triangular bases.

Illustration of a square prism; a prism whose bases are squares.

Square Prism

Illustration of a square prism; a prism whose bases are squares.

Illustration of a pentagonal prism showing, "If a piece of paper is fitted to cover the convex surface of a prism or a cylinder, and then unrolled, its form will be that of a rectangle, as ABCD."

Surfaces Of A Prism

Illustration of a pentagonal prism showing, "If a piece of paper is fitted to cover the convex surface…