ClipArt ETC
Diagram showing how to construct a conic when given the focus and the auxiliary circle. The focus is on the left of the auxiliary circle, thus producing a very obtuse hyperbola.

Focus In Auxiliary Circle of Conic

Diagram showing how to construct a conic when given the focus and the auxiliary circle. The focus is…

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,…

The Meadow Foxtail (Alopecurus pratensis) has an erect, smooth stem, two or three feet high with swelling sheaths. The spikes are cylindrical and obtuse. The awn is twisted and twice the length of the blossom. It has only one palea. The spike or head of the Meadow Foxtail is soft. There are few light stems and leaves. It thrives best in rich, moist strong soil.

Meadow Foxtail Grass

The Meadow Foxtail (Alopecurus pratensis) has an erect, smooth stem, two or three feet high with swelling…

The Meadow Foxtail (Alopecurus pratensis)has an erect, smooth stem, two or three feet high with swelling sheaths. The spikes are cylindrical and obtuse. The awn is twisted and twice the length of the blossom. It has only one palea. The spike or head of the Meadow Foxtail is soft. There are few light stems and leaves. It thrives best in rich, moist strong soil, and flowers from late spring to early summer.

Meadow Foxtail Grass

The Meadow Foxtail (Alopecurus pratensis)has an erect, smooth stem, two or three feet high with swelling…

The Rough-Stalked Meadow Grass (Poa trivialis) has webbed florets and a five-ribbed outter palea. The marginal ribs are not hairy, the ligules are long, pointed, and obtuse and the stems are two to three feet high. This grass has rough sheaths while in the latter the sheaths are smooth. The root is fibrous and the grass is creeping. It flourishes in moist meadows and flowers in July.

Rough-Stalked Meadow Grass

The Rough-Stalked Meadow Grass (Poa trivialis) has webbed florets and a five-ribbed outter palea. The…

The Rough-Stalked Meadow Grass (Poa trivialis) has webbed florets and a five-ribbed outter palea. The marginal ribs are not hairy, the ligules are long, pointed, and obtuse and the stems are two to three feet high. This grass has rough sheaths while in the latter the sheaths are smooth. The root is fibrous and the grass is creeping. It flourishes in moist meadows and flowers in July. The flower is magnified here.

Rough-Stalked Meadow Grass

The Rough-Stalked Meadow Grass (Poa trivialis) has webbed florets and a five-ribbed outter palea. The…

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping panicle. The spikelets are ovate and smooth with a yellowish-green tinge and holding six to ten distinct flowers. The stems are erect, smooth, and round growing from two to three feet high and bearing four or five leaves with striated sheaths. The upper sheath is crowned with an obtuse, ragged ligule while the lower sheath is soft and hairy. There are five joints and the leaves are flat, soft, and linear. The spikelets have fewer florets and the outer palea is rounded at the summit and broader compared with its length.

Chess Grass

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping…

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping panicle. The spikelets are ovate and smooth with a yellowish-green tinge and holding six to ten distinct flowers. The stems are erect, smooth, and round growing from two to three feet high and bearing four or five leaves with striated sheaths. The upper sheath is crowned with an obtuse, ragged ligule while the lower sheath is soft and hairy. There are five joints and the leaves are flat, soft, and linear. The spikelets have fewer florets and the outer palea is rounded at the summit and broader compared with its length. This picture shows the grass a few days before coming to maturity.

Chess Grass

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping…

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping panicle. The spikelets are ovate and smooth with a yellowish-green tinge and holding six to ten distinct flowers. The stems are erect, smooth, and round growing from two to three feet high and bearing four or five leaves with striated sheaths. The upper sheath is crowned with an obtuse, ragged ligule while the lower sheath is soft and hairy. There are five joints and the leaves are flat, soft, and linear. The spikelets have fewer florets and the outer palea is rounded at the summit and broader compared with its length. This picture shows the summit of the large glume midway between its base and the summit of the second floriet.

Chess Grass

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping…

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping panicle. The spikelets are ovate and smooth with a yellowish-green tinge and holding six to ten distinct flowers. The stems are erect, smooth, and round growing from two to three feet high and bearing four or five leaves with striated sheaths. The upper sheath is crowned with an obtuse, ragged ligule while the lower sheath is soft and hairy. There are five joints and the leaves are flat, soft, and linear. The spikelets have fewer florets and the outer palea is rounded at the summit and broader compared with its length. This picture shows the magnified spikelet.

Chess Grass

The Chess Grass (Bromus secalinus), also called Willard's Bromus, has a spreading, slightly drooping…

The Meadow Soft Grass (Holcus lanatus), also referred to as Velvet Grass, has its spikelets crowded in an open panicle, and an awn with the lower part perfectly smooth. It grows from one to two feet high with an erect smooth stem. The root is perennial and fibrous, with four to five leaves with soft, downy sheaths. The upper sheath much longer than its leaf with an inflated obtuse ligule. There are usually four joints with generally covered with soft downy hairs, the points of which are turned downwards. The leaves are pale-green, flat, broad, acute, soft on both sides, and covered with delicate slender hairs. It has hairy, oblate glumes tipped with a minute brislte. Inflorescence compound panicled of a greenish, reddish, or pinkish tinge. It flowers in June.

Meadow Soft Grass

The Meadow Soft Grass (Holcus lanatus), also referred to as Velvet Grass, has its spikelets crowded…

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."…

"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,…

"Argent, a fusil, purpure. The fusil is narrower than the lozenge, the angles at the chief and base being more acute, and the others more obtuse." -Hall, 1862

Fusil Ordinary

"Argent, a fusil, purpure. The fusil is narrower than the lozenge, the angles at the chief and base…

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…

"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…

"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.…

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,…

"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…

Color flag of Eritrea. Red isosceles triangle (based on the hoist side) dividing the flag into two right triangles; the upper triangle is green, the lower one is blue; a gold wreath encircling a gold olive branch is centered on the hoist side of the red triangle.

Flag of Eritrea, 2009

Color flag of Eritrea. Red isosceles triangle (based on the hoist side) dividing the flag into two right…

Black and white outline flag of Eritrea. Red isosceles triangle (based on the hoist side) dividing the flag into two right triangles; the upper triangle is green, the lower one is blue; a gold wreath encircling a gold olive branch is centered on the hoist side of the red triangle

Flag of Eritrea, 2009

Black and white outline flag of Eritrea. Red isosceles triangle (based on the hoist side) dividing the…

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 Guyana. Green, with a red isosceles triangle (based on the hoist side) superimposed on a long, yellow arrowhead; there is a narrow, black border between the red and yellow, and a narrow, white border between the yellow and the green.

Flag of Guyana, 2009

Color flag of Guyana. Green, with a red isosceles triangle (based on the hoist side) superimposed on…

Black and white outline flag of Guyana. Green, with a red isosceles triangle (based on the hoist side) superimposed on a long, yellow arrowhead; there is a narrow, black border between the red and yellow, and a narrow, white border between the yellow and the green

Flag of Guyana, 2009

Black and white outline flag of Guyana. Green, with a red isosceles triangle (based on the hoist side)…

Color flag of Jordan. Three equal horizontal bands of black (top), representing the Abbassid Caliphate, white, representing the Ummayyad Caliphate, and green, representing the Fatimid Caliphate; a red isosceles triangle on the hoist side, representing the Great Arab Revolt of 1916, and bearing a small white seven-pointed star symbolizing the seven verses of the opening Sura (Al-Fatiha) of the Holy Koran; the seven points on the star represent faith in One God, humanity, national spirit, humility, social justice, virtue, and aspirations; design is based on the Arab Revolt flag of World War I.

Flag of Jordan, 2009

Color flag of Jordan. Three equal horizontal bands of black (top), representing the Abbassid Caliphate,…

Black and white outline flag of Jordan. Three equal horizontal bands of black (top), representing the Abbassid Caliphate, white, representing the Ummayyad Caliphate, and green, representing the Fatimid Caliphate; a red isosceles triangle on the hoist side, representing the Great Arab Revolt of 1916, and bearing a small white seven-pointed star symbolizing the seven verses of the opening Sura (Al-Fatiha) of the Holy Koran; the seven points on the star represent faith in One God, humanity, national spirit, humility, social justice, virtue, and aspirations; design is based on the Arab Revolt flag of World War I

Flag of Jordan, 2009

Black and white outline flag of Jordan. Three equal horizontal bands of black (top), representing the…

Color flag of Namibia. A wide red stripe edged by narrow white stripes divides the flag diagonally from lower hoist corner to upper fly corner; the upper hoist-side triangle is blue and charged with a yellow, 12-rayed sunburst; the lower fly-side triangle is green.

Flag of Namibia, 2009

Color flag of Namibia. A wide red stripe edged by narrow white stripes divides the flag diagonally from…

Black and white outline flag of Namibia. A wide red stripe edged by narrow white stripes divides the flag diagonally from lower hoist corner to upper fly corner; the upper hoist-side triangle is blue and charged with a yellow, 12-rayed sunburst; the lower fly-side triangle is green

Flag of Namibia, 2009

Black and white outline flag of Namibia. A wide red stripe edged by narrow white stripes divides the…

Color flag of Nepal. Red with a blue border around the unique shape of two overlapping right triangles; the smaller, upper triangle bears a white stylized moon and the larger, lower triangle bears a white 12-pointed sun.

Flag of Nepal, 2009

Color flag of Nepal. Red with a blue border around the unique shape of two overlapping right triangles;…