Diagram used to prove the theorem: "In a spherical triangle, the greater side is opposite the greater angle, and conversely."

Side Comparison of Spherical Triangle

Diagram used to prove the theorem: "In a spherical triangle, the greater side is opposite the greater…

Diagram used to prove the theorem: "The area of a spherical triangle, expressed in spherical degrees, is equal to its spherical excess expressed in angular degrees."

Area of Spherical Triangle

Diagram used to prove the theorem: "The area of a spherical triangle, expressed in spherical degrees,…

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle, or straight edge when doing geometric constructions.

Positioning Pen for Constructions

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle,…

Illustration used to construct an equilateral triangle on a given base.

Construction of an Equilateral Triangle

Illustration used to construct an equilateral triangle on a given base.

Illustration used to construct a triangle given the length of the base and the two base angles.

Construction of Triangle Given Angles and Base

Illustration used to construct a triangle given the length of the base and the two base angles.

"The gyron is a triangular figure formed by drawing a line from the dexter angle of the chief of the shield to the fess point, and an horizontal line from that point to the dexter side of the shield." -Hall, 1862

Gyron Ordinary

"The gyron is a triangular figure formed by drawing a line from the dexter angle of the chief of the…

"Gyrony of eight pieces, argent and gules. The field is said to be gyrony when it is covered with gyrons." -Hall, 1862

Gyrony Ordinary

"Gyrony of eight pieces, argent and gules. The field is said to be gyrony when it is covered with gyrons."…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. If the change in horizontal alignment is approximately 270 degrees, such as on a cloverleaf interchange ramp, the 270-degree Loop sign may be used.

270 Degree Loop, Black and White

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. If the change in horizontal alignment is approximately 270 degrees, such as on a cloverleaf interchange ramp, the 270-degree Loop sign may be used.

270 Degree Loop, Color

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. If the change in horizontal alignment is approximately 270 degrees, such as on a cloverleaf interchange ramp, the 270-degree Loop sign may be used.

270 Degree Loop, Outline

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. If the change in horizontal alignment is approximately 270 degrees, such as on a cloverleaf interchange ramp, the 270-degree Loop sign may be used.

270 Degree Loop, Silhouette

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. A One-Direction Large Arrow sign may be used on the outside of the turn or curve. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

One-Direction Large Arrow, Black and White

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. A One-Direction Large Arrow sign may be used on the outside of the turn or curve. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

One-Direction Large Arrow, Color

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. A One-Direction Large Arrow sign may be used on the outside of the turn or curve. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

One-Direction Large Arrow, Outline

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. A One-Direction Large Arrow sign may be used on the outside of the turn or curve. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

One-Direction Large Arrow, Silhouette

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

Chevron Alignment, Black and White

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

Chevron Alignment, Color

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

Chevron Alignment, Outline

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment changes. When the Hairpin Curve sign or the 270-degree Loop sign is installed, either a One-Direction Large Arrow sign or Chevron Alignment signs should be installed on the outside of the turn or curve.

Chevron Alignment, Silhouette

The horizontal alignment signs may be used in advance of situations where the horizontal roadway alignment…

The NO PASSING ZONE sign shall be a pennant-shaped isosceles triangle with its longer axis horizontal and pointing to the right. When used, the NO PASSING ZONE sign shall be installed on the left side of the roadway at the beginning of no-passing zones identified by either pavement markings or DO NOT PASS signs or both.

No Passing Zone, Black and White

The NO PASSING ZONE sign shall be a pennant-shaped isosceles triangle with its longer axis horizontal…

The NO PASSING ZONE sign shall be a pennant-shaped isosceles triangle with its longer axis horizontal and pointing to the right. When used, the NO PASSING ZONE sign shall be installed on the left side of the roadway at the beginning of no-passing zones identified by either pavement markings or DO NOT PASS signs or both.

No Passing Zone, Color

The NO PASSING ZONE sign shall be a pennant-shaped isosceles triangle with its longer axis horizontal…

If the condition indicated by a warning sign is located on an intersecting road and the distance between the intersection and condition is not sufficient to provide adequate advance placement of the warning sign, a Supplemental Arrow plaque should be used below the warningsign.

Supplemental Arrow, Black and White

If the condition indicated by a warning sign is located on an intersecting road and the distance between…

If the condition indicated by a warning sign is located on an intersecting road and the distance between the intersection and condition is not sufficient to provide adequate advance placement of the warning sign, a Supplemental Arrow plaque should be used below the warningsign.

Supplemental Arrow, Color

If the condition indicated by a warning sign is located on an intersecting road and the distance between…

If the condition indicated by a warning sign is located on an intersecting road and the distance between the intersection and condition is not sufficient to provide adequate advance placement of the warning sign, a Supplemental Arrow plaque should be used below the warningsign.

Supplemental Arrow, Outline

If the condition indicated by a warning sign is located on an intersecting road and the distance between…

If the condition indicated by a warning sign is located on an intersecting road and the distance between the intersection and condition is not sufficient to provide adequate advance placement of the warning sign, a Supplemental Arrow plaque should be used below the warningsign.

Supplemental Arrow, Silhouette

If the condition indicated by a warning sign is located on an intersecting road and the distance between…

"Argent, three legs armed, conjoined at the fess point at the upper extremity of the thigh, flexed in a triangle, garnished and spurred, or. CONJOINED. Joined together." -Hall, 1862

Legs Conjoined

"Argent, three legs armed, conjoined at the fess point at the upper extremity of the thigh, flexed in…

The sense of taste enables us to test in some degree the chemical constitution of substances we take into the mouth as food. These organs are located in the mouth or on the mouth parts. This example shows a vertical section of large papilla on the tongue of a calf detailing the taste buds

Sense of Taste

The sense of taste enables us to test in some degree the chemical constitution of substances we take…

The M1 Garand (officially the United States Rifle, Caliber .30, M1) was the first semi-automatic rifle to be generally issued to the infantry of any nation. In 1936, it officially replaced the bolt-action M1903 Springfield as the standard service rifle of the United States Armed Forces and was subsequently replaced by the selective-fire M14 in 1957. However, the M1 continued to be used in large numbers until 1963 and to a lesser degree until 1966.

M1 Garand Rifle

The M1 Garand (officially the United States Rifle, Caliber .30, M1) was the first semi-automatic rifle…

The M1 Garand (officially the United States Rifle, Caliber .30, M1) was the first semi-automatic rifle to be generally issued to the infantry of any nation. In 1936, it officially replaced the bolt-action M1903 Springfield as the standard service rifle of the United States Armed Forces and was subsequently replaced by the selective-fire M14 in 1957. However, the M1 continued to be used in large numbers until 1963 and to a lesser degree until 1966.

Browning Automatic Rifle

The M1 Garand (officially the United States Rifle, Caliber .30, M1) was the first semi-automatic rifle…

"GYRON. A triangular figure formed by two lines from one of the angles of the shield to the centre. The gyron may be drawn in any part of the shield, but it is generally placed as in the annexed example." -Hall, 1862

Gyron

"GYRON. A triangular figure formed by two lines from one of the angles of the shield to the centre.…

"KNIGHT AND BARONET. A degree of honour next to a baron, created by King James I. to induce the English gentry to settle in the province of Ulster. The title is knight and baronet; it is hereditary: the arms are distinguished by an augmentation of a human hand gules, generally borne on an escutcheon in the centre of the shield." -Hall, 1862

Knight and Baronet of King James I

"KNIGHT AND BARONET. A degree of honour next to a baron, created by King James I. to induce the English…

An illustration of a simple border comprised of multiple triangles.

Simple Triangle Border

An illustration of a simple border comprised of multiple triangles.

"Argent, a pile, purpure. PILE. An angular figure like a wedge, formed by lines running from the dexter and sinister chief to the middle base." -Hall, 1862

Pile

"Argent, a pile, purpure. PILE. An angular figure like a wedge, formed by lines running from the dexter…

Illustration used to prove "An exterior angle of a triangle is equal to the sum of the two remote interior angles."

Exterior Angle Proof

Illustration used to prove "An exterior angle of a triangle is equal to the sum of the two remote interior…

Illustration used to prove "The line bisecting one side of a triangle and parallel to another side bisects the third side."

Line Bisecting Side of a Triangle

Illustration used to prove "The line bisecting one side of a triangle and parallel to another side bisects…

Illustration used to prove "The line joining the mid-points of two sides of a triangle is parallel to the third side and equal to one half the third side."

Line Joining Midpoints on a Triangle

Illustration used to prove "The line joining the mid-points of two sides of a triangle is parallel to…

Illustration used to prove "The bisectors of the angles of a triangle are concurrent in a point which is equidistant from the three sides of the triangle."

Angle Bisectors In A Triangle

Illustration used to prove "The bisectors of the angles of a triangle are concurrent in a point which…

Illustration used to prove "The perpendicular bisectors of the sides of a triangle are concurrent in a point which is equidistant from the three vertices of the triangle."

Perpendicular Bisectors In A Triangle

Illustration used to prove "The perpendicular bisectors of the sides of a triangle are concurrent in…

Illustration used to show "The altitudes of a triangle are concurrent."

Altitudes In A Triangle

Illustration used to show "The altitudes of a triangle are concurrent."

Illustration used to show "Any two medians of a triangle intersect each other in a trisection point of each."

Medians In A Triangle

Illustration used to show "Any two medians of a triangle intersect each other in a trisection point…

Illustration used to show "If one acute angle of a right triangle is double the other, the hypotenuse is double the shorter side."

Relationships In A Right Triangle

Illustration used to show "If one acute angle of a right triangle is double the other, the hypotenuse…

Illustration used to show the various parts of a triangle: sides, angles, medians, altitudes, bisectors, and segments.

Parts Of A Triangle

Illustration used to show the various parts of a triangle: sides, angles, medians, altitudes, bisectors,…

"Cross Crosslet on Grieces. GRIECE. In heraldry, a degree or step, as one of the steps upon which crosses are sometimes placed." -Whitney, 1911

Cross Crosslet on Grieces

"Cross Crosslet on Grieces. GRIECE. In heraldry, a degree or step, as one of the steps upon which crosses…

"Gyronny of eight, gules and argent. GYRONNY. In heraldry, dividend into a number of triangular parts of two different tinctures." -Whitney, 1911

Gyronny

"Gyronny of eight, gules and argent. GYRONNY. In heraldry, dividend into a number of triangular parts…

Color flag of American Samoa. Blue, with a white triangle edged in red that is based on the fly side and extends to the hoist side; a brown and white American bald eagle flying toward the hoist side is carrying two traditional Samoan symbols of authority, a war club known as a "Fa'alaufa'i" (upper; left talon), and a coconut fiber fly whisk known as a "Fue" (lower; right talon); the combination of symbols broadly mimics that seen on the US Great Seal and reflects the relationship between the United States and American Samoa.

Flag of American Samoa, 2009

Color flag of American Samoa. Blue, with a white triangle edged in red that is based on the fly side…

Black and white outline flag of American Samoa. Blue, with a white triangle edged in red that is based on the fly side and extends to the hoist side; a brown and white American bald eagle flying toward the hoist side is carrying two traditional Samoan symbols of authority, a war club known as a "Fa'alaufa'i" (upper; left talon), and a coconut fiber fly whisk known as a "Fue" (lower; right talon); the combination of symbols broadly mimics that seen on the US Great Seal and reflects the relationship between the United States and American Samoa

Flag of American Samoa, 2009

Black and white outline flag of American Samoa. Blue, with a white triangle edged in red that is based…

Color flag of Antigua and Barbuda. Red, with an inverted isosceles triangle based on the top edge of the flag; the triangle contains three horizontal bands of black (top), light blue, and white, with a yellow rising sun in the black band.

Flag of Antigua and Barbuda, 2009

Color flag of Antigua and Barbuda. Red, with an inverted isosceles triangle based on the top edge of…

Black and white outline flag of Antigua and Barbuda. Red, with an inverted isosceles triangle based on the top edge of the flag; the triangle contains three horizontal bands of black (top), light blue, and white, with a yellow rising sun in the black band

Flag of Antigua and Barbuda, 2009

Black and white outline flag of Antigua and Barbuda. Red, with an inverted isosceles triangle based…

Color flag of the Bahamas, Three equal horizontal bands of aquamarine (top), gold, and aquamarine, with a black equilateral triangle based on the hoist side.

Flag of the Bahamas, 2009

Color flag of the Bahamas, Three equal horizontal bands of aquamarine (top), gold, and aquamarine, with…

Black and white outline flag of the Bahamas. Three equal horizontal bands of aquamarine (top), gold, and aquamarine, with a black equilateral triangle based on the hoist side

Flag of Bahamas, The, 2009

Black and white outline flag of the Bahamas. Three equal horizontal bands of aquamarine (top), gold,…

Color flag of Bosnia and Herzegovina. A wide medium blue vertical band on the fly side with a yellow isosceles triangle abutting the band and the top of the flag; the remainder of the flag is medium blue with seven full five-pointed white stars and two half stars top and bottom along the hypotenuse of the triangle.

Flag of Bosnia and Herzegovina, 2009

Color flag of Bosnia and Herzegovina. A wide medium blue vertical band on the fly side with a yellow…

Black and white outline flag of Bosnia and Herzegovina. A wide medium blue vertical band on the fly side with a yellow isosceles triangle abutting the band and the top of the flag; the remainder of the flag is medium blue with seven full five-pointed white stars and two half stars top and bottom along the hypotenuse of the triangle

Flag of Bosnia and Herzegovina, 2009

Black and white outline flag of Bosnia and Herzegovina. A wide medium blue vertical band on the fly…

Color flag of Christmas Island. Territorial flag; divided diagonally from upper hoist to lower fly; the upper triangle is green with a yellow image of the Golden Bosun Bird superimposed, the lower triangle is blue with the Southern Cross constellation, representing Australia, superimposed; a centered yellow disk displays a green map of the island.

Flag of Christmas Island, 2009

Color flag of Christmas Island. Territorial flag; divided diagonally from upper hoist to lower fly;…

Black and white outline flag of Christmas Island. Territorial flag; divided diagonally from upper hoist to lower fly; the upper triangle is green with a yellow image of the Golden Bosun Bird superimposed, the lower triangle is blue with the Southern Cross constellation, representing Australia, superimposed; a centered yellow disk displays a green map of the island

Flag of Christmas Island, 2009

Black and white outline flag of Christmas Island. Territorial flag; divided diagonally from upper hoist…

Color flag of Comoros. Four equal horizontal bands of yellow (top), white, red, and blue, with a green isosceles triangle based on the hoist; centered within the triangle is a white crescent with the convex side facing the hoist and four white, five-pointed stars placed vertically in a line between the points of the crescent; the horizontal bands and the four stars represent the four main islands of the archipelago - Mwali, N'gazidja, Nzwani, and Mahore (Mayotte - territorial collectivity of France, but claimed by Comoros).

Flag of Comoros, 2009

Color flag of Comoros. Four equal horizontal bands of yellow (top), white, red, and blue, with a green…

Black and white outline flag of Comoros. Four equal horizontal bands of yellow (top), white, red, and blue, with a green isosceles triangle based on the hoist; centered within the triangle is a white crescent with the convex side facing the hoist and four white, five-pointed stars placed vertically in a line between the points of the crescent; the horizontal bands and the four stars represent the four main islands of the archipelago - Mwali, N'gazidja, Nzwani, and Mahore (Mayotte - territorial collectivity of France, but claimed by Comoros)

Flag of Comoros, 2009

Black and white outline flag of Comoros. Four equal horizontal bands of yellow (top), white, red, and…

Color flag of Czech Republic. Two equal horizontal bands of white (top) and red with a blue isosceles triangle based on the hoist side.

Flag of Czech Republic, 2009

Color flag of Czech Republic. Two equal horizontal bands of white (top) and red with a blue isosceles…

Black and white outline flag of Czech Republic. Two equal horizontal bands of white (top) and red with a blue isosceles triangle based on the hoist side

Flag of Czech Republic, 2009

Black and white outline flag of Czech Republic. Two equal horizontal bands of white (top) and red with…

Color flag of Djibouti. Two equal horizontal bands of light blue (top) and light green with a white isosceles triangle based on the hoist side bearing a red five-pointed star in the center.

Flag of Djibouti, 2009

Color flag of Djibouti. Two equal horizontal bands of light blue (top) and light green with a white…

Black and white outline flag of Djibouti. Two equal horizontal bands of light blue (top) and light green with a white isosceles triangle based on the hoist side bearing a red five-pointed star in the center

Flag of Djibouti, 2009

Black and white outline flag of Djibouti. Two equal horizontal bands of light blue (top) and light green…