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

Pattern for Icosahedron

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

Illustration of regular polyhedrons: tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron.

Regular Polyhedrons

Illustration of regular polyhedrons: tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron.

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 a triangular prism inscribed in a cylinder.

Prism inscribed in Cylinder

Illustration of a triangular prism inscribed in a 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 plane passing through a cylinder. Every section of a cylinder made by a plane passing through an element is a parallelogram.

Plane Passing Through A Cylinder

Illustration of a plane passing through a cylinder. Every section of a cylinder made by a plane passing…

Illustration of a plane passing through a cylinder. Every section of a cylinder made by a plane passing through an element is a parallelogram.

Plane Passing Through A Cylinder

Illustration of a plane passing through a cylinder. Every section of a cylinder made by a plane passing…

Illustration of planes passing through a cylinder.

Planes Passing Through A Cylinder

Illustration of planes passing through a cylinder.

Illustration of a triangular prism inscribed in a cylinder.

Prism inscribed in Cylinder

Illustration of a triangular prism inscribed in 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 of a cylinder of revolution.

Cylinder of Revolution

Illustration of a cylinder of revolution.

Illustration of a double cone.

Double Cone

Illustration of a double cone.

Illustration of a right circular cone and an oblique cone.

Right and Oblique Cones

Illustration of a right circular cone and an oblique cone.

Illustration of a cone of revolution.

Cone of Revolution

Illustration of a cone of revolution.

Illustration of a plane tangent to a cone which contains one element of the cone but does not cut the surface.

Tangent Plane to a Cone

Illustration of a plane tangent to a cone which contains one element of the cone but does not cut the…

Illustration of a pyramid inscribed in a cone.

Pyramid Inscribed in a Cone

Illustration of a pyramid inscribed in a cone.

Illustration of a pyramid circumscribed about a cone.

Pyramid Circumscribed About a Cone

Illustration of a pyramid circumscribed about a cone.

Illustration of a frustum of a cone.

Frustum of a Cone

Illustration of a frustum of a cone.

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Plane Passing Through the Vertex of a Cone

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Plane Passing Through the Vertex of a Cone

Illustration of a plane passing through the vertex of a cone (section made is a triangle).

Illustration of a plane parallel to the base passing through a cone (section made is a circle).

Plane Parallel to Base, Passing Through a Cone

Illustration of a plane parallel to the base passing through a cone (section made is a circle).

Illustration of a plane parallel to the base passing through a cone (section made is a circle).

Plane Parallel to Base, Passing Through a Cone

Illustration of a plane parallel to the base passing through a cone (section made is a circle).

Illustration of a pyramid and with a regular polygon inscribed in and circumscribed about a cone. "If a pyramid whose base is a regular polygon is inscribed in or circumscribed about a circular cone, and if the number of sides of the base of the pyramid is indefinitely increased, the volume of the cone is the limit of the volume of the pyramid, and the lateral area of the cone is the limit of the lateral area of the pyramid."

Cone With Regular Polygon Inscribed and Circumscribed About

Illustration of a pyramid and with a regular polygon inscribed in and circumscribed about a cone. "If…

Illustration of a cone of revolution used to show that the lateral area is equal to half the product of the slant height by the circumference of the base.

Lateral Area of Cone of Revolution

Illustration of a cone of revolution used to show that the lateral area is equal to half the product…

Illustration of a cone with a polygon inscribed used to show that the volume of a circular cone is equal to one third the product of its base by its altitude.

Volume of Cone

Illustration of a cone with a polygon inscribed used to show that the volume of a circular cone is equal…

Illustration of a cone of revolution.

Cone of Revolution

Illustration of a cone of revolution.

"The lateral area of a frustum of a cone of revolution is equal to half the sum of the circumferences of its bases multiplied by the slant height."

Frustum of Cone to Find Lateral Area

"The lateral area of a frustum of a cone of revolution is equal to half the sum of the circumferences…

Frustum of a cone.

Frustum of Cone

Frustum of a cone.

"The volume of a frustum of a circular cone is equivalent to the sum of the volumes of three cones 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 bases of the frustum."

Frustum of Cone to Find Volume

"The volume of a frustum of a circular cone is equivalent to the sum of the volumes of three cones whose…

Frustum of a cone.

Frustum of Cone

Frustum of a cone.

Illustration to show how volume of a prismatoid is found. "The volume of a prismatoid is equal to the product of one sixth of its altitude into the sum of its bases and four times its mid-section." V=1/6H(B+b+4M)

Prismatoid Illustration for Volume

Illustration to show how volume of a prismatoid is found. "The volume of a prismatoid is equal to the…

Illustration of a plane passing through a prismatoid.

Plane Passing Through Prismatoid

Illustration of a plane passing through a prismatoid.

Illustration of an isosceles spherical triangle.

Solids of Revolution

Illustration of an isosceles spherical triangle.

Illustration of two similar triangles, abc and ABC.

Similar Triangles

Illustration of two similar triangles, abc and ABC.

Illustration of a triangle divided by a parallel line to form two similar triangles.

Similar Triangles

Illustration of a triangle divided by a parallel line to form two similar triangles.

3/3 of a 3 sided polygon with one piece detached

Fractions of 3-sided Polygon

3/3 of a 3 sided polygon with one piece detached

4/4 of a 4 sided polygon with one piece detached

Fractions of 4-sided Polygon

4/4 of a 4 sided polygon with one piece detached

6/6 of a 6 sided polygon with one piece detached

Fractions of 6-sided Polygon

6/6 of a 6 sided polygon with one piece detached

7/7 of a 7 sided polygon with one piece detached

Fractions of 7-sided Polygon

7/7 of a 7 sided polygon with one piece detached

8/8 of a 8 sided polygon with one piece detached

Fractions of 8-sided Polygon

8/8 of a 8 sided polygon with one piece detached

9/9 of a 9 sided polygon with one piece detached

Fractions of 9-sided Polygon

9/9 of a 9 sided polygon with one piece detached

10/10 of a 10 sided polygon with one piece detached

Fractions of 10-sided Polygon

10/10 of a 10 sided polygon with one piece detached

11/11 of a 11 sided polygon with one piece detached

Fractions of 11-sided Polygon

11/11 of a 11 sided polygon with one piece detached

12/12 of a 12 sided polygon with one piece detached

Fractions of 12-sided Polygon

12/12 of a 12 sided polygon with one piece detached

Projection of a square bar.

Projection of Square Bar

Projection of a square bar.

Projection of a hexagonal bar.

Projection of Hexagonal Bar

Projection of a hexagonal bar.

Projection of a round bar.

Projection of Round Bar

Projection of a round bar.

Projection of a cylinder with a circular hole.

Projection of Cylinder With Circular Hole

Projection of a cylinder with a circular hole.

Projection of a hexagonal nut.

Projection of Hexagonal Nut

Projection of a hexagonal nut.

Projection of a frustum of a square pyramid.

Projection of Frustum of Square Pyramid

Projection of a frustum of a square pyramid.

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.

Projection of a circular ring.

Projection of Circular Ring

Projection of a circular ring.

Projection of a turned block.

Projection of Turned Block

Projection of a turned block.

Projections of a rectangular prism or block.

Projections of Rectangular Prism

Projections of a rectangular prism or block.

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.

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…

Projections of a cylinder inclined to horizontal plane.

Projections of Cylinder

Projections of a cylinder inclined to horizontal plane.