Illustration used "If three component motions ab, ac, and ad are combined, their resultant af will be the diagonal of the parallelopiped of which they are the edges."

Parallelopiped of Motions

Illustration used "If three component motions ab, ac, and ad are combined, their resultant af will be…

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 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.

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…