Projective geometryIn mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that, compared to elementary Euclidean geometry, projective geometry has a different setting, projective space, and a selective set of basic geometric concepts. The basic intuitions are that projective space has more points than Euclidean space, for a given dimension, and that geometric transformations are permitted that transform the extra points (called "points at infinity") to Euclidean points, and vice-versa.
Dutch RepublicThe United Provinces of the Netherlands, officially the Republic of the Seven United Netherlands (Republiek der Zeven Verenigde Nederlanden), and commonly referred to in historiography as the Dutch Republic, was a confederation that existed from 1579 until the Batavian Revolution in 1795. It was a predecessor state of the present-day Netherlands. The republic was established after seven Dutch provinces in the Spanish Netherlands revolted against Spanish rule, forming a mutual alliance against Spain in 1579 (the Union of Utrecht) and declaring their independence in 1581 (the Act of Abjuration).
French RevolutionThe French Revolution (Révolution française ʁevɔlysjɔ̃ fʁɑ̃sɛːz) was a period of radical political and societal change in France that began with the Estates General of 1789 and ended with the formation of the French Consulate in November 1799. Many of its ideas are considered fundamental principles of liberal democracy, while the values and institutions it created remain central to French political discourse. Its causes are generally agreed to be a combination of social, political and economic factors, which the Ancien Régime proved unable to manage.
NapoleonNapoleon Bonaparte (born Napoleone Buonaparte; 15 August 1769 – 5 May 1821), later known by his regnal name Napoleon I, was a French military commander and political leader who rose to prominence during the French Revolution and led successful campaigns during the Revolutionary Wars. He was the leader of the French Republic as First Consul from 1799 to 1804, then of the French Empire as Emperor of the French from 1804 until 1814 and again in 1815. Napoleon's political and cultural legacy endures as a celebrated and controversial leader.
