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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 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 rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position to the alternate faces of a hexagonal pyramid of the first order. There may be two different orientations of rhombohedron. A positive rhombohedron is shown." — Ford, 1912

Positive rhombohedron

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position…

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position to the alternate faces of a hexagonal pyramid of the first order. There may be two different orientations of rhombohedron. A negative rhombohedron is shown." — Ford, 1912

Negative rhombohedron

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position…

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

Norsemen

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

A rhombus is a rhomboid having equal sides.

Rhombus

A rhombus is a rhomboid having equal 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." —…

"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 rhombus, and the prism stands erect, the form is a right rhombic prism." —The Encyclopedia Britannica, 1903

Primitive Crystal

"When the base is a rhombus, and the prism stands erect, the form is a right rhombic prism." —The…

"Bounded by twelve rhomb-shaped faces parallel to the six dodecahedral planes of symetry. the angles between the normals to adjacent faces are 60 degrees...[and] 90 degrees; the indices are {110}" -The Encyclopedia Britannica 1910

Rhombic Dodecahedron

"Bounded by twelve rhomb-shaped faces parallel to the six dodecahedral planes of symetry. the angles…

"...shows the rhombic dodecahedron in combination with the octahedron." -The Encyclopedia Britannica 1910

Combination of Rhombic Dodecahedron and Octahedron

"...shows the rhombic dodecahedron in combination with the octahedron." -The Encyclopedia Britannica…

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

Illustration of a rhombus, which is a rhomboid with all sides equal.

Rhombus

Illustration of a rhombus, which is a rhomboid with all sides equal.

Illustration of a rhomboid, which is a parallelogram which has its angles oblique angles.

Rhomboid

Illustration of a rhomboid, which is a parallelogram which has its angles oblique angles.

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,…

One large rhombus for pattern block set.

Large Rhombus for Pattern Block Set

One large rhombus for pattern block set.

Four large rhombuses for pattern block set.

Large Rhombuses for Pattern Block Set

Four large rhombuses for pattern block set.

Four large rhombuses for pattern block set.

Large Rhombuses for Pattern Block Set

Four large rhombuses for pattern block set.

Three large rhombuses for pattern block set.

Large Rhombuses for Pattern Block Set

Three large rhombuses for pattern block set.

Sixteen small rhombuses for pattern block set.

Small Rhombuses for Pattern Block Set

Sixteen small rhombuses for pattern block set.

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.

An illustration of a combination formed by different prisms

Combination of Prisms

An illustration of a combination formed by different prisms

A flashcard featuring an illustration of a Rhombus

Flashcard of a Rhombus

A flashcard featuring an illustration of a Rhombus

Illustration of a rhombus circumscribed about an ellipse. This could also be described as an ellipse inscribed in a rhombus.

Rhombus Circumscribed About an Ellipse

Illustration of a rhombus circumscribed about an ellipse. This could also be described as an ellipse…

The figure "represents the progress of a wave up a broad depression or valley 40 miles wide at the bottom and 240 at the top, the depth at the center being 1000 feet." -Coast and Geodetic Survey, 1901

Wave Progress

The figure "represents the progress of a wave up a broad depression or valley 40 miles wide at the bottom…

An illustration of a bundle of 1,000 sticks bundled in hundreds that can be used when teaching counting, grouping, and place value.

1000 Sticks

An illustration of a bundle of 1,000 sticks bundled in hundreds that can be used when teaching counting,…

"The Turbot resembles a rhomb in its general form; whence its name of rhombus."

The Turbot (Rhombus Maximus)

"The Turbot resembles a rhomb in its general form; whence its name of rhombus."

The door lozenge panel is a rhombus shape. It is a 17th century design found in the Nordlingen church in Germany.

Door Lozenge Panel

The door lozenge panel is a rhombus shape. It is a 17th century design found in the Nordlingen church…

The modern lozenge panel is found in a decorative painting. It is a rhombus shape design.

Modern Lozenge Panel

The modern lozenge panel is found in a decorative painting. It is a rhombus shape design.

The modern lozenge panel is found in a decorative painting. It is a rhombus shape design.

Modern Lozenge Panel

The modern lozenge panel is found in a decorative painting. It is a rhombus shape design.

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a rhombus.

Rhombus

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a rhombus.

Rhombus

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a rhombus.

Rhombus

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a rhombus.

Rhombus

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Outline Tangram Card

Outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made…

Solutions for outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Outline Solution Tangram Card

Solutions for outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus,…

Silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Tangram Card

Silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus,…

This is a plan of the church of San Ambrogio, Italy. This is an example of Italian Lombard Romanesque architecture. This church represents the "earliest [example] of the solution of the great problem which was exercising the minds of the church builders towards the end of the 11th century, the vaulting of the nave." The scale is in feet.

Plan of San Ambrogio, 1000–1200

This is a plan of the church of San Ambrogio, Italy. This is an example of Italian Lombard Romanesque…

This is a plan of the San Michele, Pavia, Italy. This is an example of Italian Lombard Romanesque architecture. This church represents the "earliest [example] of the solution of the great problem which was exercising the minds of the church builders towards the end of the 11th century, the vaulting of the nave." The scale is in feet.

Plan of San Michele, Pavia, 1000–1200

This is a plan of the San Michele, Pavia, Italy. This is an example of Italian Lombard Romanesque architecture.…

This is a plan of the Cathedral at Würms, Germany. It is an example of Romanesque and Gothic architecture in Germany. The scale is in feet. Construction was started in AD 1000 and continued until 1025. In Germany and Italy up until this point in architecture open timber roofing or flat ceilings were being used, however this problem was "solved in Germany, as well as in Italy, [with the] vaulting over the nave, and the cathedrals of Spires, Worms and Mainz are the three most important churches in which this was accomplished,"

Plan of Cathedral at Worms, AD 1000–1025

This is a plan of the Cathedral at Würms, Germany. It is an example of Romanesque and Gothic architecture…

Solutions for silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Solution Tangram Card

Solutions for silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow,…

A common packaging item, usually made of flat material such as paper or cardboard. It is designed to contain a flat object, such as a letter or card. Traditional envelopes are made from sheets of paper cut to one of three shapes: a rhombus, a short-arm cross, or

Mailing Envelope

A common packaging item, usually made of flat material such as paper or cardboard. It is designed to…

"It was the custom of Northmen to bury their dead sea king near the sea in his ship and over the spot to raise a great mound of earth. The boat shown in the cut was found in 1880 in a burial mound at Gokstadt, South Norway. Its length is 78 feet. From the mode of sepulture it is inferred that the mound was raised between A.D. 700 and 1000."—Myers, 1905

A Viking Ship

"It was the custom of Northmen to bury their dead sea king near the sea in his ship and over the spot…

Pictured are nectar cells magnified 1000 diameters. The nectariferous nucleus is also pictured.

Nectar Cells

Pictured are nectar cells magnified 1000 diameters. The nectariferous nucleus is also pictured.

Illustration of an English king between AD 800 and 1000. The king is very likely King Alfred who reigned from 871-899. The king is wearing a tunic and fur-trimmed cloak, along with striped tights and no shoes. He is looking up in an awkward position. His crown has three prongs. Both hands are raised in the air.

An English King from the 9th or 10th Century, Possibly King Alfred

Illustration of an English king between AD 800 and 1000. The king is very likely King Alfred who reigned…