Black and white outline flag of Mali. Three equal vertical bands of green (hoist side), yellow, and red; uses the popular pan-African colors of Ethiopia

Flag of Mali, 2009

Black and white outline flag of Mali. Three equal vertical bands of green (hoist side), yellow, and…

Color flag of Mauritius. Four equal horizontal bands of red (top), blue, yellow, and green.

Flag of Mauritius, 2009

Color flag of Mauritius. Four equal horizontal bands of red (top), blue, yellow, and green.

Black and white outline flag of Mauritius. Four equal horizontal bands of red (top), blue, yellow, and green

Flag of Mauritius, 2009

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

Color flag of Monaco. Two equal horizontal bands of red (top) and white; similar to the flag of Indonesia which is longer and the flag of Poland which is white (top) and red.

Flag of Monaco, 2009

Color flag of Monaco. Two equal horizontal bands of red (top) and white; similar to the flag of Indonesia…

Black and white outline flag of Monaco. Two equal horizontal bands of red (top) and white; similar to the flag of Indonesia which is longer and the flag of Poland which is white (top) and red

Flag of Monaco, 2009

Black and white outline flag of Monaco. Two equal horizontal bands of red (top) and white; similar to…

Color flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and red; centered on the hoist-side red band in yellow is the national emblem ("soyombo" - a columnar arrangement of abstract and geometric representation for fire, sun, moon, earth, water, and the yin-yang symbol).

Flag of Mongolia, 2009

Color flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and red; centered on…

Black and white outline flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and red; centered on the hoist-side red band in yellow is the national emblem ("soyombo" - a columnar arrangement of abstract and geometric representation for fire, sun, moon, earth, water, and the yin-yang symbol)

Flag of Mongolia, 2009

Black and white outline flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and…

Color flag of Netherlands. Three equal horizontal bands of red (top), white, and blue; similar to the flag of Luxembourg, which uses a lighter blue and is longer; one of the oldest flags in constant use, originating with WILLIAM I, Prince of Orange, in the latter half of the 16th century.

Flag of Netherlands, 2009

Color flag of Netherlands. Three equal horizontal bands of red (top), white, and blue; similar to the…

Black and white outline flag of Netherlands. Three equal horizontal bands of red (top), white, and blue; similar to the flag of Luxembourg, which uses a lighter blue and is longer; one of the oldest flags in constant use, originating with WILLIAM I, Prince of Orange, in the latter half of the 16th century

Flag of Netherlands, 2009

Black and white outline flag of Netherlands. Three equal horizontal bands of red (top), white, and blue;…

Color flag of Niger. Three equal horizontal bands of orange (top), white, and green with a small orange disk (representing the sun) centered in the white band; similar to the flag of India, which has a blue spoked wheel centered in the white band.

Flag of Niger, 2009

Color flag of Niger. Three equal horizontal bands of orange (top), white, and green with a small orange…

Black and white outline flag of Niger. Three equal horizontal bands of orange (top), white, and green with a small orange disk (representing the sun) centered in the white band; similar to the flag of India, which has a blue spoked wheel centered in the white band

Flag of Niger, 2009

Black and white outline flag of Niger. Three equal horizontal bands of orange (top), white, and green…

Color flag of Nigeria. Three equal vertical bands of green (hoist side), white, and green.

Flag of Nigeria, 2009

Color flag of Nigeria. Three equal vertical bands of green (hoist side), white, and green.

Black and white outline flag of Nigeria. Three equal vertical bands of green (hoist side), white, and green

Flag of Nigeria, 2009

Black and white outline flag of Nigeria. Three equal vertical bands of green (hoist side), white, and…

Color flag of Panama. Divided into four, equal rectangles; the top quadrants are white (hoist side) with a blue five-pointed star in the center and plain red; the bottom quadrants are plain blue (hoist side) and white with a red five-pointed star in the center.

Flag of Panama, 2009

Color flag of Panama. Divided into four, equal rectangles; the top quadrants are white (hoist side)…

Black and white outline flag of Panama. Divided into four, equal rectangles; the top quadrants are white (hoist side) with a blue five-pointed star in the center and plain red; the bottom quadrants are plain blue (hoist side) and white with a red five-pointed star in the center

Flag of Panama, 2009

Black and white outline flag of Panama. Divided into four, equal rectangles; the top quadrants are white…

Color flag of Philippines. Two equal horizontal bands of blue (top; representing peace and justice) and red (representing courage); a white equilateral triangle based on the hoist side represents equality; the center of the triangle displays a yellow sun with eight primary rays, each representing one of the first eight provinces that sought independence from Spain; each corner of the triangle contains a small, yellow, five-pointed star representing the three major geographical divisions of the country: Luzon, Visayas, and Mindanao; the design of the flag dates to 1897; in wartime the flag is flown upside down with the red band at the top.

Flag of Philippines, 2009

Color flag of Philippines. Two equal horizontal bands of blue (top; representing peace and justice)…

Black and white outline flag of Philippines. Two equal horizontal bands of blue (top; representing peace and justice) and red (representing courage); a white equilateral triangle based on the hoist side represents equality; the center of the triangle displays a yellow sun with eight primary rays, each representing one of the first eight provinces that sought independence from Spain; each corner of the triangle contains a small, yellow, five-pointed star representing the three major geographical divisions of the country: Luzon, Visayas, and Mindanao; the design of the flag dates to 1897; in wartime the flag is flown upside down with the red band at the top

Flag of Philippines, 2009

Black and white outline flag of Philippines. Two equal horizontal bands of blue (top; representing peace…

Color flag of Poland. Two equal horizontal bands of white (top) and red; similar to the flags of Indonesia and Monaco which are red (top) and white.

Flag of Poland, 2009

Color flag of Poland. Two equal horizontal bands of white (top) and red; similar to the flags of Indonesia…

Black and white outline flag of Poland. Two equal horizontal bands of white (top) and red; similar to the flags of Indonesia and Monaco which are red (top) and white

Flag of Poland, 2009

Black and white outline flag of Poland. Two equal horizontal bands of white (top) and red; similar to…

Black and white flag of Puerto Rico. Five equal horizontal bands of red (top and bottom) alternating with white; a blue isosceles triangle based on the hoist side bears a large, white, five-pointed star in the center; design initially influenced by the US flag, but similar to the Cuban flag, with the colors of the bands and triangle reversed.

Flag of Puerto Rico, 2009

Black and white flag of Puerto Rico. Five equal horizontal bands of red (top and bottom) alternating…

Black and white outline flag of Puerto Rico. Five equal horizontal bands of red (top and bottom) alternating with white; a blue isosceles triangle based on the hoist side bears a large, white, five-pointed star in the center; design initially influenced by the US flag, but similar to the Cuban flag, with the colors of the bands and triangle reversed

Flag of Puerto Rico, 2009

Black and white outline flag of Puerto Rico. Five equal horizontal bands of red (top and bottom) alternating…

Color flag of Russia. Three equal horizontal bands of white (top), blue, and red.

Flag of Russia, 2009

Color flag of Russia. Three equal horizontal bands of white (top), blue, and red.

Black and white outline flag of Russia. Three equal horizontal bands of white (top), blue, and red

Flag of Russia, 2009

Black and white outline flag of Russia. Three equal horizontal bands of white (top), blue, and red

Color flag of Senegal. Three equal vertical bands of green (hoist side), yellow, and red with a small green five-pointed star centered in the yellow band; uses the popular pan-African colors of Ethiopia.

Flag of Senegal, 2009

Color flag of Senegal. Three equal vertical bands of green (hoist side), yellow, and red with a small…

Black and white outline flag of Senegal. Three equal vertical bands of green (hoist side), yellow, and red with a small green five-pointed star centered in the yellow band; uses the popular pan-African colors of Ethiopia

Flag of Senegal, 2009

Black and white outline flag of Senegal. Three equal vertical bands of green (hoist side), yellow, and…

Color flag of Sierra Leone. Three equal horizontal bands of light green (top), white, and light blue.

Flag of Sierra Leone, 2009

Color flag of Sierra Leone. Three equal horizontal bands of light green (top), white, and light blue.

Black and white outline flag of Sierra Leone. Three equal horizontal bands of light green (top), white, and light blue

Flag of Sierra Leone, 2009

Black and white outline flag of Sierra Leone. Three equal horizontal bands of light green (top), white,…

Color flag of Singapore. Two equal horizontal bands of red (top) and white; near the hoist side of the red band, there is a vertical, white crescent (closed portion is toward the hoist side) partially enclosing five white five-pointed stars arranged in a circle.

Flag of Singapore, 2009

Color flag of Singapore. Two equal horizontal bands of red (top) and white; near the hoist side of the…

Black and white outline flag of Singapore. Two equal horizontal bands of red (top) and white; near the hoist side of the red band, there is a vertical, white crescent (closed portion is toward the hoist side) partially enclosing five white five-pointed stars arranged in a circle

Flag of Singapore, 2009

Black and white outline flag of Singapore. Two equal horizontal bands of red (top) and white; near the…

Color flag of Slovakia. Three equal horizontal bands of white (top), blue, and red superimposed with the coat of arms of Slovakia (consisting of a red shield bordered in white and bearing a white Cross of Lorraine surmounting three blue hills); the coat of arms is centered vertically and offset slightly to the hoist side.

Flag of Slovakia, 2009

Color flag of Slovakia. Three equal horizontal bands of white (top), blue, and red superimposed with…

Black and white outline flag of Slovakia. Three equal horizontal bands of white (top), blue, and red superimposed with the coat of arms of Slovakia (consisting of a red shield bordered in white and bearing a white Cross of Lorraine surmounting three blue hills); the coat of arms is centered vertically and offset slightly to the hoist side

Flag of Slovakia, 2009

Black and white outline flag of Slovakia. Three equal horizontal bands of white (top), blue, and red…

Color flag of Slovenia. Three equal horizontal bands of white (top), blue, and red, with the Slovenian seal (a shield with the image of Triglav, Slovenia's highest peak, in white against a blue background at the center; beneath it are two wavy blue lines depicting seas and rivers, and above it are three six-pointed stars arranged in an inverted triangle, which are taken from the coat of arms of the Counts of Celje, the great Slovene dynastic house of the late 14th and early 15th centuries); the seal is in the upper hoist side of the flag centered on the white and blue bands.

Flag of Slovenia, 2009

Color flag of Slovenia. Three equal horizontal bands of white (top), blue, and red, with the Slovenian…

Black and white outline flag of Slovenia. Three equal horizontal bands of white (top), blue, and red, with the Slovenian seal (a shield with the image of Triglav, Slovenia's highest peak, in white against a blue background at the center; beneath it are two wavy blue lines depicting seas and rivers, and above it are three six-pointed stars arranged in an inverted triangle, which are taken from the coat of arms of the Counts of Celje, the great Slovene dynastic house of the late 14th and early 15th centuries); the seal is in the upper hoist side of the flag centered on the white and blue bands

Flag of Slovenia, 2009

Black and white outline flag of Slovenia. Three equal horizontal bands of white (top), blue, and red,…

Color flag of South Africa. Two equal width horizontal bands of red (top) and blue separated by a central green band that splits into a horizontal Y, the arms of which end at the corners of the hoist side; the Y embraces a black isosceles triangle from which the arms are separated by narrow yellow bands; the red and blue bands are separated from the green band and its arms by narrow white stripes.

Flag of South Africa, 2009

Color flag of South Africa. Two equal width horizontal bands of red (top) and blue separated by a central…

Black and white outline flag of South Africa. Two equal width horizontal bands of red (top) and blue separated by a central green band that splits into a horizontal Y, the arms of which end at the corners of the hoist side; the Y embraces a black isosceles triangle from which the arms are separated by narrow yellow bands; the red and blue bands are separated from the green band and its arms by narrow white stripes

Flag of South Africa, 2009

Black and white outline flag of South Africa. Two equal width horizontal bands of red (top) and blue…

Color flag of Sri Lanka. Yellow with two panels; the smaller hoist-side panel has two equal vertical bands of green (hoist side) and orange; the other panel is a large dark red rectangle with a yellow lion holding a sword, and there is a yellow bo leaf in each corner; the yellow field appears as a border around the entire flag and extends between the two panels.

Flag of Sri Lanka, 2009

Color flag of Sri Lanka. Yellow with two panels; the smaller hoist-side panel has two equal vertical…

Black and white outline flag of Sri Lanka. Yellow with two panels; the smaller hoist-side panel has two equal vertical bands of green (hoist side) and orange; the other panel is a large dark red rectangle with a yellow lion holding a sword, and there is a yellow bo leaf in each corner; the yellow field appears as a border around the entire flag and extends between the two panels

Flag of Sri Lanka, 2009

Black and white outline flag of Sri Lanka. Yellow with two panels; the smaller hoist-side panel has…

Color flag of Sudan. Three equal horizontal bands of red (top), white, and black with a green isosceles triangle based on the hoist side.

Flag of Sudan, 2009

Color flag of Sudan. Three equal horizontal bands of red (top), white, and black with a green isosceles…

Black and white outline flag of Sudan. Three equal horizontal bands of red (top), white, and black with a green isosceles triangle based on the hoist side

Flag of Sudan, 2009

Black and white outline flag of Sudan. Three equal horizontal bands of red (top), white, and black with…

Color flag of Syria. Three equal horizontal bands of red (top), white, and black, colors associated with the Arab Liberation flag; two small, green, five-pointed stars in a horizontal line centered in the white band; former flag of the United Arab Republic where the two stars represented the constituent states of Syria and Egypt; similar to the flag of Yemen, which has a plain white band, Iraq, which has an Arabic inscription centered in the white band, and that of Egypt, which has a gold Eagle of Saladin centered in the white band; the current design dates to 1980.

Flag of Syria, 2009

Color flag of Syria. Three equal horizontal bands of red (top), white, and black, colors associated…

Black and white outline flag of Syria. Three equal horizontal bands of red (top), white, and black, colors associated with the Arab Liberation flag; two small, green, five-pointed stars in a horizontal line centered in the white band; former flag of the United Arab Republic where the two stars represented the constituent states of Syria and Egypt; similar to the flag of Yemen, which has a plain white band, Iraq, which has an Arabic inscription centered in the white band, and that of Egypt, which has a gold Eagle of Saladin centered in the white band; the current design dates to 1980

Flag of Syria, 2009

Black and white outline flag of Syria. Three equal horizontal bands of red (top), white, and black,…

Color flag of Tokelau. Five equal horizontal bands of green (top and bottom) alternating with yellow; a white five-pointed star on a red square is in the upper hoist-side corner; uses the popular pan-African colors of Ethiopia.

Flag of Tokelau, 2009

Color flag of Tokelau. Five equal horizontal bands of green (top and bottom) alternating with yellow;…

Black and white outline flag of Tokelau. Five equal horizontal bands of green (top and bottom) alternating with yellow; a white five-pointed star on a red square is in the upper hoist-side corner; uses the popular pan-African colors of Ethiopia

Flag of Tokelau, 2009

Black and white outline flag of Tokelau. Five equal horizontal bands of green (top and bottom) alternating…

Color flag of Uganda. Six equal horizontal bands of black (top), yellow, red, black, yellow, and red; a white disk is superimposed at the center and depicts a red-crested crane (the national symbol) facing the hoist side.

Flag of Uganda, 2009

Color flag of Uganda. Six equal horizontal bands of black (top), yellow, red, black, yellow, and red;…

Black and white outline flag of Uganda. Six equal horizontal bands of black (top), yellow, red, black, yellow, and red; a white disk is superimposed at the center and depicts a red-crested crane (the national symbol) facing the hoist side

Flag of Uganda, 2009

Black and white outline flag of Uganda. Six equal horizontal bands of black (top), yellow, red, black,…

Color flag of Ukraine. Two equal horizontal bands of azure (top) and golden yellow represent grain fields under a blue sky.

Flag of Ukraine, 2009

Color flag of Ukraine. Two equal horizontal bands of azure (top) and golden yellow represent grain fields…

Black and white outline flag of Ukraine. Two equal horizontal bands of azure (top) and golden yellow represent grain fields under a blue sky

Flag of Ukraine, 2009

Black and white outline flag of Ukraine. Two equal horizontal bands of azure (top) and golden yellow…

Color flag of the United Arab Emirates. Three equal horizontal bands of green (top), white, and black with a wider vertical red band on the hoist side.

Flag of the United Arab Emirates, 2009

Color flag of the United Arab Emirates. Three equal horizontal bands of green (top), white, and black…

Black and white outline flag of the United Arab Emirates. Three equal horizontal bands of green (top), white, and black with a wider vertical red band on the hoist side

Flag of the United Arab Emirates, 2009

Black and white outline flag of the United Arab Emirates. Three equal horizontal bands of green (top),…

Color flag of the United States. 13 equal horizontal stripes of red (top and bottom) alternating with white; there is a blue rectangle in the upper hoist-side corner bearing 50 small, white, five-pointed stars arranged in nine offset horizontal rows of six stars (top and bottom) alternating with rows of five stars; the 50 stars represent the 50 states, the 13 stripes represent the 13 original colonies; known as Old Glory; the design and colors have been the basis for a number of other flags, including Chile, Liberia, Malaysia, and Puerto Rico.

Flag of the United States, 2009

Color flag of the United States. 13 equal horizontal stripes of red (top and bottom) alternating with…

Black and white outline flag of the United States. 13 equal horizontal stripes of red (top and bottom) alternating with white; there is a blue rectangle in the upper hoist-side corner bearing 50 small, white, five-pointed stars arranged in nine offset horizontal rows of six stars (top and bottom) alternating with rows of five stars; the 50 stars represent the 50 states, the 13 stripes represent the 13 original colonies; known as Old Glory; the design and colors have been the basis for a number of other flags, including Chile, Liberia, Malaysia, and Puerto Rico

Flag of the United States, 2009

Black and white outline flag of the United States. 13 equal horizontal stripes of red (top and bottom)…

Color flag of Uruguay. Nine equal horizontal stripes of white (top and bottom) alternating with blue; a white square in the upper hoist-side corner with a yellow sun bearing a human face known as the Sun of May with 16 rays that alternate between triangular and wavy.

Flag of Uruguay, 2009

Color flag of Uruguay. Nine equal horizontal stripes of white (top and bottom) alternating with blue;…

Black and white outline flag of Uruguay. Nine equal horizontal stripes of white (top and bottom) alternating with blue; a white square in the upper hoist-side corner with a yellow sun bearing a human face known as the Sun of May with 16 rays that alternate between triangular and wavy

Flag of Uruguay, 2009

Black and white outline flag of Uruguay. Nine equal horizontal stripes of white (top and bottom) alternating…

Color flag of Uzbekistan. Three equal horizontal bands of blue (top), white, and green separated by red fimbriations with a white crescent moon and 12 white stars in the upper hoist-side quadrant.

Flag of Uzbekistan, 2009

Color flag of Uzbekistan. Three equal horizontal bands of blue (top), white, and green separated by…

Black and white outline flag of Uzbekistan. Three equal horizontal bands of blue (top), white, and green separated by red fimbriations with a white crescent moon and 12 white stars in the upper hoist-side quadrant

Flag of Uzbekistan, 2009

Black and white outline flag of Uzbekistan. Three equal horizontal bands of blue (top), white, and green…

Color flag of Yemen. Three equal horizontal bands of red (top), white, and black; similar to the flag of Syria, which has two green stars in the white band, and of Iraq, which has an Arabic inscription centered in the white band; also similar to the flag of Egypt, which has a heraldic eagle centered in the white band.

Flag of Yemen, 2009

Color flag of Yemen. Three equal horizontal bands of red (top), white, and black; similar to the flag…

Black and white outline flag of Yemen. Three equal horizontal bands of red (top), white, and black; similar to the flag of Syria, which has two green stars in the white band, and of Iraq, which has an Arabic inscription centered in the white band; also similar to the flag of Egypt, which has a heraldic eagle centered in the white band

Flag of Yemen, 2009

Black and white outline flag of Yemen. Three equal horizontal bands of red (top), white, and black;…

Color flag of Zimbabwe. Seven equal horizontal bands of green, yellow, red, black, red, yellow, and green with a white isosceles triangle edged in black with its base on the hoist side; a yellow Zimbabwe bird representing the long history of the country is superimposed on a red five-pointed star in the center of the triangle, which symbolizes peace; green symbolizes agriculture, yellow - mineral wealth, red - blood shed to achieve independence, and black stands for the native people.

Flag of Zimbabwe, 2009

Color flag of Zimbabwe. Seven equal horizontal bands of green, yellow, red, black, red, yellow, and…

Black and white outline flag of Zimbabwe. Seven equal horizontal bands of green, yellow, red, black, red, yellow, and green with a white isosceles triangle edged in black with its base on the hoist side; a yellow Zimbabwe bird representing the long history of the country is superimposed on a red five-pointed star in the center of the triangle, which symbolizes peace; green symbolizes agriculture, yellow - mineral wealth, red - blood shed to achieve independence, and black stands for the native people

Flag of Zimbabwe, 2009

Black and white outline flag of Zimbabwe. Seven equal horizontal bands of green, yellow, red, black,…

Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they subtend equal arcs; conversely, if two arcs are equal, the chords that subtend them are equal."

Equal Chords in Equal Circles Theorem

Illustration used to show that "In equal circles, or in the same circle, if two chords are equal, they…