Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the octagon. The hidden edges are shown.

Octagonal Prism

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The height…

Illustration of a right octagonal prism with octagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the octagon.

Octagonal Prism

Illustration of a right octagonal prism with octagons for bases and rectangular faces. The height of…

Illustration of a right octagonal prism, with octagons for bases and rectangular faces, that is resting on its side (an edge). The height of the prism is greater than the length of a side of the octagon.

Octagonal Prism Resting On Side

Illustration of a right octagonal prism, with octagons for bases and rectangular faces, that is resting…

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the pentagon. The hidden edges are shown.

Pentagonal Prism

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The…

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The height of the prism is slightly greater than the length of a side of the pentagon. The hidden edges are shown.

Pentagonal Prism

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The…

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The height of the prism is slightly greater than the length of a side of the pentagon.

Pentagonal Prism

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The…

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the pentagon.

Pentagonal Prism

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles. The height of the pyramid is much larger then the length and width of the base.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of 2 right rectangular pyramids with hidden edges shown. The rectangular bases are congruent, but the height of the smaller pyramid is one half that of the larger.

2 Right Rectangular Pyramids

Illustration of 2 right rectangular pyramids with hidden edges shown. The rectangular bases are congruent,…

Illustration of a non-right, or skewed, rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Skewed Rectangular Pyramid

Illustration of a non-right, or skewed, rectangular pyramid with hidden edges shown. The base is a rectangle…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration of a hollow right rectangular pyramid. The base is a rectangle and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Rectangular Pyramid

Illustration of a hollow right rectangular pyramid. The base is a rectangle and the faces are isosceles…

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the faces are isosceles triangles.

Rectangular Pyramid

Illustration of a right rectangular pyramid with hidden edges shown. The base is a rectangle and the…

Illustration used to prove the Pythagorean Theorem, according to Euclid. A perpendicular is drawn from the top vertex of the right triangle extended through the bottom square, forming 2 rectangles. Each rectangle has the same area as one of the two legs. This proves that the sum of the squares of the legs is equal to the square of the hypotenuse (Pythagorean Theorem).

Euclid's Pythagorean Theorem Proof

Illustration used to prove the Pythagorean Theorem, according to Euclid. A perpendicular is drawn from…

A triangle and a T-square can be used in conjunction to draw a rectangle.

Drawing Rectangles

A triangle and a T-square can be used in conjunction to draw a rectangle.

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…

Illustration of a rectangle divided in half.

Rectangle, 1/2 Fraction

Illustration of a rectangle divided in half.

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,…

This fraction chart can be used for students to find A, B, and C in percentage. It can also be used to answer these questions (if it is 2.5 by 2 inches): "How many square inches in the entire figure? How many square inches in C? What part of a square inch is B? How large is A when compared to C? How large is B when compared to A? Into how many quarter-inch squares could you divide the whole figure?" -Foster, 1921

Fraction Chart

This fraction chart can be used for students to find A, B, and C in percentage. It can also be used…

The shaded region represents 2/3 of rectangle.

Two Thirds

The shaded region represents 2/3 of rectangle.

The shaded region represents 2/5 of rectangle. III can be compared to I and II to find that it is made I is made up of 2 IIIs.

Two Fifths

The shaded region represents 2/5 of rectangle. III can be compared to I and II to find that it is made…

The shaded region represents 3/7 of the rectangle. I and II are the size of 3 IIIs.

Three Sevenths

The shaded region represents 3/7 of the rectangle. I and II are the size of 3 IIIs.

The shaded region represents 5/8 of the rectangle. If II is divided in to thirds, then those pieces are equal to the five in I.

Five Eighths

The shaded region represents 5/8 of the rectangle. If II is divided in to thirds, then those pieces…

"The triangle ABC is divided into 2 right triangles I and II. ABC is seen to be equal to 1/2 of the rectangle ABNO." -Foster, 1921

Area of Triangle

"The triangle ABC is divided into 2 right triangles I and II. ABC is seen to be equal to 1/2 of the…

"The child sees triangle ACB = triangle ADB, and that I + II = CA - DB; and so he sees that the area of triangle=1/2 area of rectangle whose base and altitude are the same as those of the triangles." -Foster, 1921

Area of Triangle

"The child sees triangle ACB = triangle ADB, and that I + II = CA - DB; and so he sees that the area…

"Fig. 3 shows triangle I = triangle II, III = IV, and so triangle ABC = 1/2 of rectangle ABDE. The fact is realized that the area of a triangle equals 1/2 the product of the base and altitude." -Foster, 1921

Area of Triangle

"Fig. 3 shows triangle I = triangle II, III = IV, and so triangle ABC = 1/2 of rectangle ABDE. The fact…

"From Figure 4 he sees a parallelogram equal to a rectangle of the same base and altitude. Cut out and paste in rectangle form." -Foster, 1921

Area of Parallelogram

"From Figure 4 he sees a parallelogram equal to a rectangle of the same base and altitude. Cut out and…

"The student sees the trapezoid is equal in area to a rectangle whose base is the average base of the trapezoid, and whose altitude is the same as that of the trapezoid." -Foster, 1921

Area of Trapezoid

"The student sees the trapezoid is equal in area to a rectangle whose base is the average base of the…

"The student sees the trapezoid is equal in area to a rectangle whose base is the average base of the trapezoid, and whose altitude is the same as that of the trapezoid." -Foster, 1921

Area of Trapezoid

"The student sees the trapezoid is equal in area to a rectangle whose base is the average base of the…

In military affairs, a narrow ditch or trench by which approach is made to a fortress or designed place when within range of fire. This is sap on a rectangular plan.

Rectangular Sap

In military affairs, a narrow ditch or trench by which approach is made to a fortress or designed place…

Labeled shapes showing various measures of form.

Measures of Form

Labeled shapes showing various measures of form.

Showing different types of forms or shapes: rectangle, right triangle, acute triangle, and obtuse triangle.

Forms

Showing different types of forms or shapes: rectangle, right triangle, acute triangle, and obtuse triangle.

Four different types of forms or shapes: right triangle, isosceles triangle, rectangle, and circle.

Shapes

Four different types of forms or shapes: right triangle, isosceles triangle, rectangle, and circle.

Illustration of a pentagonal prism showing, "If a piece of paper is fitted to cover the convex surface of a prism or a cylinder, and then unrolled, its form will be that of a rectangle, as ABCD."

Surfaces Of A Prism

Illustration of a pentagonal prism showing, "If a piece of paper is fitted to cover the convex surface…

Illustration of a cylinder showing, "If a piece of paper is fitted to cover the convex surface of a prism or a cylinder, and then unrolled, its form will be that of a rectangle, as ABCD."

Surfaces Of A Cylinder

Illustration of a cylinder showing, "If a piece of paper is fitted to cover the convex surface of a…

A coffer in architecture, is a sunken panel in the shape of a square, rectangle, or octagon in a ceiling, soffit or vault. A series of these sunken panels were used as decoration for a ceiling or a vault. The stone coffers of the ancient Greeks and Romans are the earliest surviving examples.A, from Palmyra; B, Basilica of Constantine.

Roman Ceiling Panels

A coffer in architecture, is a sunken panel in the shape of a square, rectangle, or octagon in a ceiling,…

"The Metre Bridge is employed - a piece of apparatus which is illustrated [here]. It consists of a wooden base, upon the upper face of which is mounted a metallic rectangle; three sides of this rectangle are formed by a broad substantial copper band - having a negligible resistance - and the fourth consists of a platinum silver wire w w joining the copper blocks P and p. This wire is exactly one meter long, and over it slides a key K, which when depressed makes contact by means of a platinum knife-edge with the wire; the exact point on the wire at which this contact is made is indicated by an arrow-head on the key, which slides against a scale, as shown." (Britannica, 1891)

Metre Bridge

"The Metre Bridge is employed - a piece of apparatus which is illustrated [here]. It consists of a wooden…

Illustration of a circle inside of a rectangle. The two figures have the same center.

Circle Inside Rectangle

Illustration of a circle inside of a rectangle. The two figures have the same center.

Illustration of a circle inside of 2 concentric rectangles whose vertices are connected by line segments.

Circle Inside Concentric Rectangles

Illustration of a circle inside of 2 concentric rectangles whose vertices are connected by line segments.

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 rectangle.

Rectangle

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 rectangle.

Rectangle

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 rectangle.

Rectangle

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 rectangle.

Rectangle

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,…

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on the far side of a T-intersection in line with, and at approximately a right angle to, approaching traffic. The Two-Direction Large Arrow sign shall not be used where there is no change in the direction of travel such as at the beginnings and ends of medians or at center piers.

Two-Direction Large Arrow, Black and White

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on…

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on the far side of a T-intersection in line with, and at approximately a right angle to, approaching traffic. The Two-Direction Large Arrow sign shall not be used where there is no change in the direction of travel such as at the beginnings and ends of medians or at center piers.

Two-Direction Large Arrow, Color

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on…

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on the far side of a T-intersection in line with, and at approximately a right angle to, approaching traffic. The Two-Direction Large Arrow sign shall not be used where there is no change in the direction of travel such as at the beginnings and ends of medians or at center piers.

Two-Direction Large Arrow, Outline

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on…

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on the far side of a T-intersection in line with, and at approximately a right angle to, approaching traffic. The Two-Direction Large Arrow sign shall not be used where there is no change in the direction of travel such as at the beginnings and ends of medians or at center piers.

Two-Direction Large Arrow, Silhouette

The Two-Direction Large Arrow sign shall be a horizontal rectangle. If used, it shall be installed on…

Color flag of Georgia. White rectangle, in its central portion a red cross connecting all four sides of the flag; in each of the four corners is a small red bolnur-katskhuri cross; the five-cross flag appears to date back to the 14th century.

Flag of Georgia, 2009

Color flag of Georgia. White rectangle, in its central portion a red cross connecting all four sides…

Black and white outline flag of Georgia. White rectangle, in its central portion a red cross connecting all four sides of the flag; in each of the four corners is a small red bolnur-katskhuri cross; the five-cross flag appears to date back to the 14th century

Flag of Georgia, 2009

Black and white outline flag of Georgia. White rectangle, in its central portion a red cross connecting…

Color flag of Grenada. A rectangle divided diagonally into yellow triangles (top and bottom) and green triangles (hoist side and outer side), with a red border around the flag; there are seven yellow, five-pointed stars with three centered in the top red border, three centered in the bottom red border, and one on a red disk superimposed at the center of the flag; there is also a symbolic nutmeg pod on the hoist-side triangle (Grenada is the world's second-largest producer of nutmeg, after Indonesia); the seven stars represent the seven administrative divisions.

Flag of Grenada, 2009

Color flag of Grenada. A rectangle divided diagonally into yellow triangles (top and bottom) and green…

Black and white outline flag of Grenada. A rectangle divided diagonally into yellow triangles (top and bottom) and green triangles (hoist side and outer side), with a red border around the flag; there are seven yellow, five-pointed stars with three centered in the top red border, three centered in the bottom red border, and one on a red disk superimposed at the center of the flag; there is also a symbolic nutmeg pod on the hoist-side triangle (Grenada is the world's second-largest producer of nutmeg, after Indonesia); the seven stars represent the seven administrative divisions

Flag of Grenada, 2009

Black and white outline flag of Grenada. A rectangle divided diagonally into yellow triangles (top and…

Color flag of Malaysia. 14 equal horizontal stripes of red (top) alternating with white (bottom); there is a blue rectangle in the upper hoist-side corner bearing a yellow crescent and a yellow 14-pointed star; the crescent and the star are traditional symbols of Islam; the design was based on the flag of the US.

Flag of Malaysia, 2009

Color flag of Malaysia. 14 equal horizontal stripes of red (top) alternating with white (bottom); there…

Black and white outline flag of Malaysia. 14 equal horizontal stripes of red (top) alternating with white (bottom); there is a blue rectangle in the upper hoist-side corner bearing a yellow crescent and a yellow 14-pointed star; the crescent and the star are traditional symbols of Islam; the design was based on the flag of the US

Flag of Malaysia, 2009

Black and white outline flag of Malaysia. 14 equal horizontal stripes of red (top) alternating with…

Color flag of Maldives. Red with a large green rectangle in the center bearing a vertical white crescent; the closed side of the crescent is on the hoist side of the flag.

Flag of Maldives, 2009

Color flag of Maldives. Red with a large green rectangle in the center bearing a vertical white crescent;…

Black and white outline flag of Maldives. Red with a large green rectangle in the center bearing a vertical white crescent; the closed side of the crescent is on the hoist side of the flag

Flag of Maldives, 2009

Black and white outline flag of Maldives. Red with a large green rectangle in the center bearing a vertical…

Color flag of Samoa. Red with a blue rectangle in the upper hoist-side quadrant bearing five white five-pointed stars representing the Southern Cross constellation.

Flag of Samoa, 2009

Color flag of Samoa. Red with a blue rectangle in the upper hoist-side quadrant bearing five white five-pointed…