France (French: [fʁɑ̃s]), officially the French Republic (French: République française, pronounced [ʁepyblik fʁɑ̃sɛːz]), is a country whose territory consists of metropolitan France in Western Europe and several overseas regions and territories. The metropolitan area of France extends from the Mediterranean Sea to the English Channel and the North Sea, and from the Rhine to the Atlantic Ocean. It is bordered by Belgium, Luxembourg and Germany to the northeast, Switzerland and Italy to the east, and Andorra and Spain to the south. The overseas territories include French Guiana in South America and several islands in the Atlantic, Pacific and Indian oceans. The country's 18 integral regions (five of which are situated overseas) span a combined area of 643,801 square kilometres (248,573 sq mi) and a total population of 67.3 million (). France, a sovereign state, is a unitary semi-presidential republic with its capital in Paris, the country's largest city and main cultural and commercial centre. Other major urban areas include Lyon, Marseille, Toulouse, Bordeaux, Lille and Nice.
During the Iron Age, what is now metropolitan France was inhabited by the Gauls, a Celtic people. Rome annexed the area in 51 BC, holding it until the arrival of Germanic Franks in 476, who formed the Kingdom of Francia. The Treaty of Verdun of 843 partitioned Francia into East Francia, Middle Francia and West Francia. West Francia which became the Kingdom of France in 1190 emerged as a major European power in the Late Middle Ages following its victory in the Hundred Years' War (1337 to 1453). During the Renaissance, French culture flourished and a global colonial empire was established, which by the 20th century would become the second largest in the world. The 16th century was dominated by religious civil wars between Catholics and Protestants (Huguenots). France became Europe's dominant cultural, political, and military power in the 17th century under Louis XIV. In the late 18th century, the French Revolution overthrew the absolute monarchy, established one of modern history's earliest republics, and saw the drafting of the Declaration of the Rights of Man and of the Citizen, which expresses the nation's ideals to this day.
The France national rugby union team
in rugby union
. They compete annually against England
in the Six Nations Championship
. They have won the championship outright sixteen times, shared it a further eight times, and have completed nine grand slams
. Eight former French players have been inducted into either the International Rugby Hall of Fame
or the IRB Hall of Fame
—two to the International Hall only, two to the IRB Hall only, and four to both Halls of Fame.
France traditionally play in blue shirts with white shorts and red socks, and are commonly referred to as les tricolores or les bleus. The French emblem is a golden rooster imposed upon a red shield. Their alternative strip is composed of a white shirt and navy blue shorts and socks. French international matches are played at several venues across the country; the Stade de France in the Paris suburb of Saint-Denis is used for their games during the Six Nations, and they have a formidable home record at the Stade Vélodrome in Marseille where they have only lost twice, to Argentina in 2004 and to New Zealand in 2009.
Émile Michel Hyacinthe Lemoine
(1840–1912) was a French civil engineer
and a mathematician
, a geometer
in particular. He was educated at a variety of institutions, including the Prytanée National Militaire
and, most notably, the École Polytechnique
. Lemoine taught as a private tutor for a short period after his graduation from the latter school.
Lemoine is best known for his proof of the existence of the Lemoine point (or the symmedian point) of a triangle. Other mathematical work includes a system he called Géométrographie and a method which related algebraic expressions to geometric objects. He has been called a co-founder of modern triangle geometry, as many of its characteristics are present in his work.
For most of his life, Lemoine was a professor of mathematics at the École Polytechnique. In later years, he worked as a civil engineer in Paris, and he also took an amateur's interest in music. During his tenure at the École Polytechnique and as a civil engineer, Lemoine published several papers on mathematics, most of which are included in a fourteen-page section in Nathan Altshiller Court's College Geometry. Additionally, he founded a mathematical journal titled, L'intermédiaire des mathématiciens.