Diagram used to prove the theorem: "The volume of a prismatoid is equal to the product of one-sixth the altitude into the sum of the two bases and four times the mid-section."

Volume of Prismatoid

Diagram used to prove the theorem: "The volume of a prismatoid is equal to the product of one-sixth…

Diagram showing how "A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three vertices of the upper base."

Truncated Triangular Prism

Diagram showing how "A truncated triangular prism is equivalent to the sum of three pyramids whose common…

"Argent, a lozenge, vert. The lozenge is formed by four equal and parallel lines but not rectangular, two of its opposite angles being acute, and two obtuse." -Hall, 1862

Lozenge Ordinary

"Argent, a lozenge, vert. The lozenge is formed by four equal and parallel lines but not rectangular,…

Trilobites ("three-lobes") are extinct marine arthropods that form the class Trilobita.The earliest trilobites had complex, compound eyes with lenses made of calcite, a unique characteristic of all trilobite eyes. The trilobite eyes were typically compound, with each lens being an elongated prism. The number of lenses in such an eye varied: some trilobites had only one, while some had thousands of lenses in a single eye. In these compound eyes, the lenses were typically arranged hexagonall (b).

Dicellocephalus Minnesotenis a Trilobite

Trilobites ("three-lobes") are extinct marine arthropods that form the class Trilobita.The earliest…

This sugar basin is designed in cut prism glass.

Sugar Basin

This sugar basin is designed in cut prism glass.

Binoculars, or Prism Field Glasses, from Kodak in 1907.

Binoculars

Binoculars, or Prism Field Glasses, from Kodak in 1907.

"Astragalinus psaltria. Arkansaw Goldfinch. Upper parts uniform olive-green, without any black; below yellow; crown black, this not extending below the eyes; wings black, most of the quills and the greater coverts white-tipped, and the primaries white at base; tail black, the outermost three pairs of feathers with a long rectangular white spot on the inner web." Elliot Coues, 1884

Arkansaw Goldfinch

"Astragalinus psaltria. Arkansaw Goldfinch. Upper parts uniform olive-green, without any black; below…

"Cochlea, X3. a, external, b, internal, cartilaginous prism; c, membranous zone; d, saccular extremity of the cochlea, or lagena; e, vascular membrane; f, auditory nerve, its middle fascicle penetrating the internal cartilaginous prism, to reach the membranous zone by its terminal filaments; g, auditory nerve, its posterior fascicle, running to the most posterior part of the lagena; h, filament to ampulla of posterior or inferior vertical semicircular canal." Elliot Coues, 1884

Eagle Cochlea

"Cochlea, X3. a, external, b, internal, cartilaginous prism; c, membranous zone; d, saccular extremity…

"Section of the cochlea, X3. a, vestibular surface of external cartilaginous prism, extending into d, the lagena; c, section of the membranous zone; e, Huschke's process of the fenestra, which, with the margins of the cartilaginous prisms, affords attachment Treviranus; i, canals in posterior wall of the lagena, by which the nervous filaments enter its cavity." Elliot Coues, 1884

A Section of an Eagle's Cochlea

"Section of the cochlea, X3. a, vestibular surface of external cartilaginous prism, extending into d,…

"Let OA and OB be the asymptotes and P a point on the curve. Draw PC and PD. Mark any points on Pc; through these points draw ordinates parallel to OA and through the same points lines to O. At the intersection of these lines with PD draw abscissæ with the ordinates give points on the curve." —French, 1911

Drawing Rectangular Hyperbola

"Let OA and OB be the asymptotes and P a point on the curve. Draw PC and PD. Mark any points on Pc;…

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.

The illustration shows the cylinder rolled out in a tangent plane of the base to create a development of the solid.

Development of Cylinder

The illustration shows the cylinder rolled out in a tangent plane of the base to create a development…

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…

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…

The illustration of a rectangular pyramid unfolded by creating edges equal length to the base and meeting at point E.

Development of Rectangular Pyramid

The illustration of a rectangular pyramid unfolded by creating edges equal length to the base and meeting…

A rolled out image of a cone by dividing the base in equal parts and arcs to measure the true lengths.

Development of Cone

A rolled out image of a cone by dividing the base in equal parts and arcs to measure the true lengths.

An illustration in flattening the sphere using Gore method by creating cylinder sections with equal diameters.

Development of Sphere Gore Method

An illustration in flattening the sphere using Gore method by creating cylinder sections with equal…

An illustration of a development of sphere using Zone method by creating sections of rolled out cones.

Development of Sphere Zone Method

An illustration of a development of sphere using Zone method by creating sections of rolled out cones.

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…

"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…

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.

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 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…

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…

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…

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,…

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…

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…

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…

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,…

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…

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…

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…

This specification discloses a land leveler comprising a massive rectangular frame including reinforced side bars and three crossbars that engage the ground surface for leveling purposes.

Land Leveler

This specification discloses a land leveler comprising a massive rectangular frame including reinforced…

This chest is one of the oldest forms of furniture. It is a rectangular structure with four walls and a lifted lid, for item storage.

Rectangular Trunk Trimming

This chest is one of the oldest forms of furniture. It is a rectangular structure with four walls and…

Frame used to on tables.

Rectangular Frame for Table Tops

Frame used to on tables.

A front and side view of a t square with rectangular head. The t square is used draw straight lines using the blade in mechanical drawing.

Fixed Rectangular Head T Square

A front and side view of a t square with rectangular head. The t square is used draw straight lines…

"Where the square has a fast and a loose head, the blade should be mortised into the fixed one and the nut and thumb screw arranged as shown; the movable swivel head being used the least." —Grimshaw, 1902

Adjustable Rectangular Head T Square

"Where the square has a fast and a loose head, the blade should be mortised into the fixed one and the…

"The axes or edges, CG and CD, are foreshortened a like amount, while CB is foreshortened twice that of the other two. The angles of these axes being known and the reduced scale due to the foreshortening being given, the making of the projection is very simple." —Anthony, 1904

Axonometric Projection of a Rectangular Cube

"The axes or edges, CG and CD, are foreshortened a like amount, while CB is foreshortened twice that…

A rectangular cube drawn by using oblique projection. The original cube was projected parallel at a certain angle. The cube was drawn by drawing the front square in the front, then projecting it in an angle while connecting the edges.

Oblique Projection of a Rectangular Cube

A rectangular cube drawn by using oblique projection. The original cube was projected parallel at a…

The development, or unfolded prism, of the rectangular pyramid. The sides of the prism is joined at point E for reference, and the shape of the sides are by using the reference point.

Development of Rectangle Pyramid

The development, or unfolded prism, of the rectangular pyramid. The sides of the prism is joined at…

A development, or rolled out image, of two cylinders intersecting each other. The large rectangular diagram is the main cylindrical body with a circle inside it for the other cylinder. The smaller development is the intersected cylinder. This is commonly used to illustrate pipes.

Development of Two Intersecting Cylinder

A development, or rolled out image, of two cylinders intersecting each other. The large rectangular…

Boxes may be made of durable material such as wood or metal, or of corrugated fiberboard, paperboard, or other non durable materials.

Rectangular Box

Boxes may be made of durable material such as wood or metal, or of corrugated fiberboard, paperboard,…

This box is a container for permanent use as storage or transporting contents.

Rectangular Box

This box is a container for permanent use as storage or transporting contents.

A usually rectangular piece of luggage esp. for carrying clothes while traveling.

Business Purpose Suitcase

A usually rectangular piece of luggage esp. for carrying clothes while traveling.

"The section of the flume is usually rectangular, but it may be of a V shape, and occasionally, as in California, it is semicircular, this latter form requiring least lumber, but necessitating the use of iron bands or brackets."—Government Printing Office, 1897

Combined Wood and Iron Flume

"The section of the flume is usually rectangular, but it may be of a V shape, and occasionally, as in…

A style of chair designed by Thomas Sheraton. This chair takes on a rectangular back.

Sheraton Chair 2

A style of chair designed by Thomas Sheraton. This chair takes on a rectangular back.

An aquarium is a glass tank for live fish, plants, and the like. Pictured is a rectangular glass aquarium.

Rectangular Glass Aquarium

An aquarium is a glass tank for live fish, plants, and the like. Pictured is a rectangular glass aquarium.

The general rule of downward pressure is "the pressure upon the bottom of a vessel containing a fluid is independent of the shape of the vessel, and is equal to the weight of a prism of the fluid whose base has the same area as the bottom of the vessel, and whose altitude is the distance between the bottom and the upper surface of the fluid, plus the pressure per unit of area upon the upper surface of the fluid multiplied by the area of the bottom of the vessel."

General Law

The general rule of downward pressure is "the pressure upon the bottom of a vessel containing a fluid…

A weir is a rectangular orifice that is used to measure water discharge. In this example, the top of the weir is level with the top of the top of the box it is on.

Weir

A weir is a rectangular orifice that is used to measure water discharge. In this example, the top of…

A weir is a fancy name for a rectangular opening. Some even give it another name: rectangular notch.

Weir

A weir is a fancy name for a rectangular opening. Some even give it another name: rectangular notch.

This illustration shows the union of a pyramid and a prism of the same order.

Union of a Pyramid and a Prism of the Same Order

This illustration shows the union of a pyramid and a prism of the same order.

This illustration shows the union of a pyramid and a prism of different orders.

Union of a Pyramid and a Prism of Different Orders

This illustration shows the union of a pyramid and a prism of different orders.

This form shows the planes given on a crystal of hydrous nickel sulphate: the basal pinacoid, (c); three pyramids of the second order, (m), (o), and (q); two pyramids of the first order, (n) and (p); and the prisms of the first and second orders, (r) and (s).

Hydrous Nickel Sulphate

This form shows the planes given on a crystal of hydrous nickel sulphate: the basal pinacoid, (c); three…

This form shows a very complex combination of thirteen tetragonal forms occuring on the mineral Vesuvianite: the prism of the first order, (d); prism of the second order, (M); basal pinacoid, (s); three pyramids of the first order, (c), (b), and (u); the ditetragonal prism (f); and the four ditetragonal pyramids (z), (x), (e), and (a).

Vesuvianite

This form shows a very complex combination of thirteen tetragonal forms occuring on the mineral Vesuvianite:…

Also known as Stolzite, this crystal is bounded by the unit pyramid of the first order, P, {111} (o), and by the prism of the third order, (p).

Lead Tungstate

Also known as Stolzite, this crystal is bounded by the unit pyramid of the first order, P, {111} (o),…

Also known as Fergusonite, this crystal shows the basal pinacoid, (c); the unit pyramid, (s); and the pyramid and prism of the third order, (z) and (r) respectively.

Yttrium Niobate

Also known as Fergusonite, this crystal shows the basal pinacoid, (c); the unit pyramid, (s); and the…