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A square divided evenly by a dotted line.

Divided Square

A square divided evenly by a dotted line.

A square divided evenly by a dotted line, known as the diagonal.

Divided Square

A square divided evenly by a dotted line, known as the diagonal.

A rectangle divided evenly by a dotted line.

Divided Rectangle

A rectangle divided evenly by a dotted line.

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited extent, it is probable that the Greek bridges were built entirely of wood, or, at best, were nothing more than a wooden platform supported upon stone piers at each extremity. Pliny mentions a bridge over the Acheron 1000 feet in length; and also says that the island Euboea was joined to Boeotia by a bridge; but it is probably that both these works were executed after the Roman conquest. The Romans were the first people who applied the arch to the construction of bridges, by which they were enabled to erect structures of great beauty and solidity, as well as utility. The width of the passage-way in a roman bridge was commonly narrow, as compared with modern structures of the same kind, and corresponded with the road leading to and from it. It was divided into three parts. the centre one, for horses and carriages, was denominated agger or iter; and the raised foot paths on each side decursoria, which were enclosed by parapet walls similar in use and appearance to the pluteus in the basilica." — Smith, 1873

Pons Cestius

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited…

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited extent, it is probable that the Greek bridges were built entirely of wood, or, at best, were nothing more than a wooden platform supported upon stone piers at each extremity. Pliny mentions a bridge over the Acheron 1000 feet in length; and also says that the island Euboea was joined to Boeotia by a bridge; but it is probably that both these works were executed after the Roman conquest. The Romans were the first people who applied the arch to the construction of bridges, by which they were enabled to erect structures of great beauty and solidity, as well as utility. The width of the passage-way in a roman bridge was commonly narrow, as compared with modern structures of the same kind, and corresponded with the road leading to and from it. It was divided into three parts. the centre one, for horses and carriages, was denominated agger or iter; and the raised foot paths on each side decursoria, which were enclosed by parapet walls similar in use and appearance to the pluteus in the basilica." — Smith, 1873

Pons Aelius

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited…

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited extent, it is probable that the Greek bridges were built entirely of wood, or, at best, were nothing more than a wooden platform supported upon stone piers at each extremity. Pliny mentions a bridge over the Acheron 1000 feet in length; and also says that the island Euboea was joined to Boeotia by a bridge; but it is probably that both these works were executed after the Roman conquest. The Romans were the first people who applied the arch to the construction of bridges, by which they were enabled to erect structures of great beauty and solidity, as well as utility. The width of the passage-way in a roman bridge was commonly narrow, as compared with modern structures of the same kind, and corresponded with the road leading to and from it. It was divided into three parts. the centre one, for horses and carriages, was denominated agger or iter; and the raised foot paths on each side decursoria, which were enclosed by parapet walls similar in use and appearance to the pluteus in the basilica." — Smith, 1873

Pons Ariminum

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited…

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited extent, it is probable that the Greek bridges were built entirely of wood, or, at best, were nothing more than a wooden platform supported upon stone piers at each extremity. Pliny mentions a bridge over the Acheron 1000 feet in length; and also says that the island Euboea was joined to Boeotia by a bridge; but it is probably that both these works were executed after the Roman conquest. The Romans were the first people who applied the arch to the construction of bridges, by which they were enabled to erect structures of great beauty and solidity, as well as utility. The width of the passage-way in a roman bridge was commonly narrow, as compared with modern structures of the same kind, and corresponded with the road leading to and from it. It was divided into three parts. the centre one, for horses and carriages, was denominated agger or iter; and the raised foot paths on each side decursoria, which were enclosed by parapet walls similar in use and appearance to the pluteus in the basilica." — Smith, 1873

Pons Trajan

"A bridge. As the rivers of Greece were small, and the use of the arch known to them only to a limited…

"The prism of the first order consists of four rectangular vertical faces, each of which intersects the two horizontal crystallographic axes equally." — Ford, 1912

First order prism

"The prism of the first order consists of four rectangular vertical faces, each of which intersects…

The Northmen, or Norsemen, landing on America in 1000 A.D.

Norsemen

The Northmen, or Norsemen, landing on America in 1000 A.D.

A rectangle is a parallelogram whose angles are all right angles.

Rectangle

A rectangle is a parallelogram whose angles are all right angles.

A square is a rectangle whose sides are all of the same length.

Square

A square is a rectangle whose sides are all of the same length.

A regular body with six square faces; a rectangular parallelopiped, having all its edges equal.

Cube

A regular body with six square faces; a rectangular parallelopiped, having all its edges equal.

a solid which may be concieved as generated by the revolution of a rectangle about one of its sides.

Right Cylinder

a solid which may be concieved as generated by the revolution of a rectangle about one of its sides.

"A temple built about 1000 A.D. It is unique because of its Gothic gablets and trefoil arches." — Encyclopedia Britanica, 1893

Temple, Pandrethan

"A temple built about 1000 A.D. It is unique because of its Gothic gablets and trefoil arches." —…

A quadrilateral plane figure having four right angles and its opposite sides equal in length. The adjacent sides are unequal.

Rectangle

A quadrilateral plane figure having four right angles and its opposite sides equal in length. The adjacent…

"Dormoy's rabble differs from others of this class in being worked by rotation like a hair-brushing machine; the tool being made to revolve very rapidly (300 to 500 turns per minute for white iron and 800 to 1000 for grey pig) gives the metal such an impulse that it gyrates horizontally round the bed, continually renewing the surface in contact with the atmosphere; this is further aided, by making the end of the rabble to carry a disk, which is replaced by a short twisted point when the metal comes to nature." — The Encyclopedia Britannica, 1893

Dormoy's Rabble

"Dormoy's rabble differs from others of this class in being worked by rotation like a hair-brushing…

"Dormoy's rabble differs from others of this class in being worked by rotation like a hair-brushing machine; the tool being made to revolve very rapidly (300 to 500 turns per minute for white iron and 800 to 1000 for grey pig) gives the metal such an impulse that it gyrates horizontally round the bed, continually renewing the surface in contact with the atmosphere; this is further aided, by making the end of the rabble to carry a disk, which is replaced by a short twisted point when the metal comes to nature." — The Encyclopedia Britannica, 1893

Dormoy's Rabble

"Dormoy's rabble differs from others of this class in being worked by rotation like a hair-brushing…

"When the base is a rectangle instead of a square, the form is a right rectangular prism." —The Encyclopedia Britannica, 1903

Primitive Crystal

"When the base is a rectangle instead of a square, the form is a right rectangular prism." —The…

Shading of the right and lower sides gives dimension to drawings.

Drawing Lines 2

Shading of the right and lower sides gives dimension to drawings.

An orthographic projection of a pyramid from three dimensional space into two dimensional space

Orthographic Pyramid Projection

An orthographic projection of a pyramid from three dimensional space into two dimensional space

2 rectangles that are similar figures

Similar Figures

2 rectangles that are similar figures

Rectangle with angles labeled. Parallelogram with right angles.

Rectangle

Rectangle with angles labeled. Parallelogram with right angles.

Square with angles labeled. A rectangle with four equal sides.

Square

Square with angles labeled. A rectangle with four equal sides.

Rectangle with squares to show area.

Rectangle With Area Squares

Rectangle with squares to show area.

Parallelogram with dimensions drawn to show relationship to the area of a rectangle.

Parallelogram and Rectangle Relationship

Parallelogram with dimensions drawn to show relationship to the area of a rectangle.

Rectangle with dimensions labeled. Rectangle can be used to calculate area.

Rectangle With Dimensions

Rectangle with dimensions labeled. Rectangle can be used to calculate area.

Illustration of box filled with pipes.

Circular Pipes in Box

Illustration of box filled with pipes.

Prism with rectangular bases and cubes drawn in.

Rectangular Prism

Prism with rectangular bases and cubes drawn in.

An illustration of a rectangle with lengths a and b and area ab.

Rectangle with Lengths a and b with Area ab

An illustration of a rectangle with lengths a and b and area ab.

An illustration of composite rectangle with lengths a, b, and c with area ac + bc. This illustration represents the product of c(a+b).

Rectangle with Lengths a, b, and c with Areas ac and bc

An illustration of composite rectangle with lengths a, b, and c with area ac + bc. This illustration…

An geometric illustration of the algebraic product of (x+y)(x+y).

Representation of Algebraic Product of (x+y)(x+y)

An geometric illustration of the algebraic product of (x+y)(x+y).

10 Dollar Coins in a row

Rows of Dollar Coins

10 Dollar Coins in a row

10 Dollar Coins in a stack

Stacks of Dollar Coins

10 Dollar Coins in a stack

An illustration of a rectangular solid/prism.

Rectangular Solid

An illustration of a rectangular solid/prism.

Illustration of a square, a rectangle with all sides equal.

Square

Illustration of a square, a rectangle with all sides equal.

Illustration of a rectangle, which is a parallelogram with all angles right angles.

Rectangle

Illustration of a rectangle, which is a parallelogram with all angles right angles.

Illustration to show that if the diagonals of a parallelogram are equal, the figure is a rectangle.

Rectangle With Diagonals

Illustration to show that if the diagonals of a parallelogram are equal, the figure is a rectangle.

Illustrations to show quadrilaterals with lines joining the midpoints of the sides of any quadrilateral, taken in order.

Quadrilaterals With Lines Joining Midpoints

Illustrations to show quadrilaterals with lines joining the midpoints of the sides of any quadrilateral,…

Illustrations to show trapezoids with lines joining the midpoints of the sides of any quadrilateral, taken in order.

Trapezoids With Lines Joining Midpoints

Illustrations to show trapezoids with lines joining the midpoints of the sides of any quadrilateral,…

Illustrations to show that if two parallel lines are cut by a transversal, the bisectors of the interior angles form a rectangle.

Rectangle Formed When Two Parallel Lines are Cut by a Transversal

Illustrations to show that if two parallel lines are cut by a transversal, the bisectors of the interior…

Illustration showing a circle with an inscribed and circumscribed quadrilateral.

Circle With Inscribed and Circumscribed Quadrilaterals

Illustration showing a circle with an inscribed and circumscribed quadrilateral.

Rectangle divided into 7 sections.

Rectangle Divided Into 7 sections

Rectangle divided into 7 sections.

Rectangle divided into 4 sections.

Rectangle Divided Into 4 sections

Rectangle divided into 4 sections.

Rectangle divided into squares to demonstrate area.

Area of a Rectangle

Rectangle divided into squares to demonstrate area.

Illustration of parallelogram AEFC drawn two different ways with base b and altitude/height a used to prove the area is aXb.

Area of a Parallelogram

Illustration of parallelogram AEFC drawn two different ways with base b and altitude/height a used to…

Number line for classroom activities.

Number Line, -1000 to 1000 by 100s

Number line for classroom activities.

Worksheet with multiple number lines for classroom mathematics activities.

Number Line, -1000 to 1000 by 100s

Worksheet with multiple number lines for classroom mathematics activities.

A flashcard featuring an illustration of a Parallelogram

Flashcard of a Parallelogram

A flashcard featuring an illustration of a Parallelogram

A flashcard featuring an illustration of a Pyramid with a Rectangular Base

Flashcard of a Pyramid with a Rectangular Base

A flashcard featuring an illustration of a Pyramid with a Rectangular Base

A flashcard featuring an illustration of a Rectangle

Flashcard of a Rectangle

A flashcard featuring an illustration of a Rectangle

A flashcard featuring an illustration of a Rhombus

Flashcard of a Rhombus

A flashcard featuring an illustration of a Rhombus

A flashcard featuring an illustration of a Trapezoid

Flashcard of a Trapezoid

A flashcard featuring an illustration of a Trapezoid

Illustration of a composite figure made up of rings, rectangles, triangles, etc..

Composite Figure

Illustration of a composite figure made up of rings, rectangles, triangles, etc..

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Rectangular Pyramid Cut By Plane

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The lower…

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top section has been removed and placed next to the lower section. The lower part is known as the frustum.

Rectangular Pyramid Cut By Plane

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid. The hidden edges are shown in this illustration.

Frustum Of A Rectangular Pyramid

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section is known as the frustum of the pyramid.

Frustum Of A Rectangular Pyramid

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top section has been removed and placed next to the lower section. The lower part is known as the frustum.

Rectangular Pyramid Cut By Plane

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Rectangular Pyramid Cut By Plane

Illustration of a right rectangular pyramid that has been cut by a plane parallel to the base. The lower…

Illustration of a right hollow rectangular pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Rectangular Pyramid

Illustration of a right hollow rectangular pyramid that has been cut by a plane parallel to the base.…