Arts et Métiers ParisTech
Arts et Métiers ParisTech is a French engineering and research graduate school. It is a general engineering school recognized for leading French higher education in the fields of mechanics and industrialization. Founded in 1780, it is among the oldest French institutions and is one of the most prestigious engineering schools in France; the school has trained 85,000 engineers since its foundation by François Alexandre Frédéric, duc de la Rochefoucauld-Liancourt. It is a "Public Scientific and Professional Institution" under the authority of the Ministry of Higher Education and Research and has the special status of Grand établissement; the École nationale supérieure d'arts et métiers, which adopted the brand name "Arts et Mėtiers ParisTech" in 2007, was a founding member of ParisTech, héSam and France AEROTECH. Arts et Métiers ParisTech consists of eight Teaching and Research Centres and three institutes spread across the country, its students are called Gadz'Arts. The school was founded in Liancourt, Oise, by Duke of Rochefoucauld-Liancourt in 1780.
After 1800, the institution became known as the École d'Arts et Métiers. Under Napoleon's reign, it was known as the "Ecole impériale des Arts et Métiers", he intended to use the school to train "Non-commissioned officers of Industry". The empire decided to move the school to a bigger city, Compiègne, in 1799; when Napoléon Bonaparte visited the castle where the school was located, he thought that it was inappropriate for such an industrial school to occupy the place. He decided to relocate the school to Châlons-en-Champagne in 1806, where two former monasteries were made available to offer much more space. Many students and alumni enlisted in the armed forces during the World War I, it is estimated that of the 6500 gadzarts who joined the army, 1100 died the first year of the conflict. Many campuses were damaged by the war that of Châlons-sur-Marne, in the middle of the Battle of the Marne; the Lille campus was occupied by the Germans and used as a military hospital. The other campuses were closed from 1916–17 and the new Parisian campus was undamaged.
Between the wars, the rapid industrialization of Europe favoured the Gadzarts. The arms race pushed industry to hire more engineers and the gadzarts matched their needs perfectly; the other important factor was the creation of new ranks in the hierarchical working organization. The middle management and upper management positions were perfect for the gadzarts engineers who filled these positions in most industries. During World War II, the school tried to keep a certain level of activity; the only campuses to experience some difficulties were Lille and Châlons-sur-Marne: in 1939 no new students were admitted. The Cluny campus was the target of a roundup in 1943 and a large part of students and staff were deported; the death of Jacques Bonsergent left a mark on the conflict, he became a symbol of resistance to the oppressor. The second school of this kind was founded in 1804 at Beaupréau and transferred to Angers in 1815. Three decades a third school was built in Aix-en-Provence in 1843, in former barracks and monasteries.
At the dawn of the 20th century, the development of the school expanded to three new campuses. In 1891, the ancient abbey of Cluny was chosen to host the activities of the 4th school. To go hand in hand with the industrial revolution, the members of parliament decided to create a 5th campus in Lille, a city, growing; the facilities of Lille were the first ones to be built expressly for the school. The campus of Paris, a long-standing project, was built between 1906 and 1912, it became the biggest campus of the Arts et World War II delayed the school's opening. By the end of the war, the campus had over 500 students. In the middle of the "Trentes Glorieuses", the 7th campus was created near Bordeaux, in the science park of Talence; the modern buildings were operational in 1963. The latest campus established was Metz; the campus was built in the science park, close to the transportation hubs. The school wanted this campus to become an international one, being close to Belgium and Germany, its construction was motivated by partnerships with German and American universities.
Between 1990 and 2000, the 3 institutes of research were created: Chambéry in 1994, Chalons-sur-Saône in 1997 and Bastia in 2000. The school has 2 satellite campuses in Bouc-bel-Air and Laval that are under the authority of the main campuses of Aix-en-provence and Angers; these satellites are linked to the research laboratories of the school. In 1817, the school's military status was removed by royal order and the official goal of the school was set to train qualified technicians. However, in practice, the organisation remained military and the students continued to wear the uniform; this tradition continues today. In 1826, a second royal order confirmed this new status and the military organisation was removed; the students were granted the right to wear the uniform as a civil one. After a third attempt, the students gained the right to form an association of the Arts et Métiers alumni in 1847; the regional campuses were transformed into engineer training institutions in 1907. In 1963, the curriculum was modified in order to recruit new students from the Classes préparatoires.
In 1964, the first woman was enrolled at the Arts et Métiers. The school became a grande école in 1976 and received the EPSCP status in 1990. In 2007, the school created the PRES ParisTech and adopted the brand name "Arts et Métiers
École nationale supérieure d’électronique, informatique, télécommunications, mathématique et mécanique de Bordeaux
The École nationale supérieure d’électronique, informatique, télécommunications, mathématique et mécanique de Bordeaux is a grande école located in Bordeaux specialized in Electrical Engineering, Computer Science, Telecommunications, Mechanical Engineering and Mathematics. The standard curriculum is a three-year program resulting in the French Diplôme d'Ingénieur, considered by European universities as a master's degree of the European Higher Education Area. ENSEIRB-MATMECA is part of Institut Polytechnique de Bordeaux. 1920: Foundation of the school "Telegraphy School of Bordeaux". At this stage, the school trains engineers for becoming radio operators. 1936: The school becomes "school of Radioelectricity of Bordeaux". 1940: The name changes again for "School of modern applications of radio Bordeaux". 1965: ENSEIRB-MATMECA becomes a national engineering school and renamed to "Ecole Nationale Supérieure d'Electronique et de Radio de Bordeaux" 1986: The Computer Science department is created. 2000: The Telecommunications department is created.
2002: The Networks and Telecommunications track is created. 2009ENSEIRB and MATMECA merge with other Grandes Ecoles to create the Polytechnic Institute of Bordeaux. A new track called Embedded Electronic Systems is created.2010: ENSEIRB-MATMECA is among the Mines-Telecom institute network. 2011: The school confirms its membership to the AEROTECH network with other French Grandes Ecoles such as ENAC, Arts et Métiers ParisTech, Centrale Lyon and Centrale Nantes. As a Grande École, the school recruits the majority of the students after the selection made by the competitive examination, the final step of two years of intensive Classes Préparatoires aux Grandes Écoles; each department has its own required admission rank, determined by the number of candidates that want to integrated the department. Other ways to integrate the school exist, some students are admitted to the school after the University or after two years of specific integrated preparatory classes at the Cycle Préparatoire Intégré de Bordeaux.
The objective of the Electronic track is to train general electronics engineers, able to control electronic modules as well as design hardware and software systems. This track is covering all aspects of Computer Science, both in its theoretical and fundamental aspects. Covers all subjects related to telecommunications systems; the first year in this sector is a core discovery of Telecommunications systems. The second year is offering a panel of effective courses to define a coherent professional project; the third year is divided into four telecommunications main options: software engineering of telecommunication and communicating embedded systems, digital systems engineering, communication systems. Specialty mathematical modeling in mechanics trains engineers in controlling large numerical simulation tools and computer. In the world of industry, many phenomenas from backgrounds or complex systems can be described using systems of equations with partial derivatives. Engineers are able to develop the necessary tools for this type of study and mastery of their use because they would have a good understanding of the physical and mechanical phenomena.
They have a good knowledge of the great mathematical modeling approaches continuum. ENSEIRB-MATMECA has second-tier rating among French Grandes Ecoles. EIRBOT is the robotics association of ENSEIRB-MATMECA; the school's four departments create an ideal setting to build robots. EIRBOT's main goal is to participate to the French Robotics Cup, part of the Eurobot Open; the association has been designing and building robots from scratch since 2003. Knowledge sharing between members is an essential value of the association. EIRBOT is a cradle of ideas and projects. Loïc Dauphin, president of the association in 2013-2014, was awarded a price from INRIA for his Aversive++ project, a generic multi microcontroller API, which he started as a project within the association with the help of Clément Lansmarie and some other members to program robots; this project is now supported by INRIA. In 2015/2016, EIRBOT's sponsors are: ENSEIRB-MATMECA Bordeaux Graduate School, Elsys Design and Armadeus. Official website
Le Marais is a historic district in Paris, France. Long the aristocratic district of Paris, it hosts many outstanding buildings of historic and architectural importance, it spreads across parts of the 4th arrondissements in Paris. Once shabby, the district has been rehabilitated and now sports trendy shopping and restaurants in streets such as Rue des Francs-Bourgeois and Rue des Rosiers. In 1240, the Order of the Temple built its fortified church just outside the walls of Paris, in the northern part of the Marais; the Temple turned this district into an attractive area, which became known as the Temple Quarter, many religious institutions were built nearby: the des Blancs-Manteaux, de Sainte-Croix-de-la-Bretonnerie and des Carmes-Billettes convents, as well as the church of Sainte-Catherine-du-Val-des-Écoliers. During the mid-13th century, Charles I of Anjou, King of Naples and Sicily, brother of King Louis IX of France built his residence near the current n°7 rue de Sévigné. In 1361 the King Charles V built a mansion known as the Hôtel Saint-Pol in which the Royal Court settled during his reign as well as his son's.
From that time to the 17th century and after the Royal Square was designed under King Henri IV of France in 1605, the Marais was the French nobility's favorite place of residence. French nobles built their urban mansions there—hôtels particuliers, in French—such as the Hôtel de Sens, the Hôtel de Sully, the Hôtel de Beauvais, the Hôtel Carnavalet, the Hôtel de Guénégaud and the Hôtel de Soubise, as well as many other hôtels particuliers, found all over the district. During the late 18th century, the district was no longer the most fashionable district for the nobility, yet it still kept its reputation of being an aristocratic area. By that time, only minor nobles and a few more powerful nobles, such as the Prince de Soubise, lived there; the Place des Vosges remained a place for nobles to meet. The district fell into despair after the French Revolution, was therefore abandoned by the nobility and would remain so until the present day. After the French Revolution, the district was no more the aristocratic district it once was during the 17th and 18th centuries.
Because of this, the district became a popular and active commercial area, hosting one of Paris' main Jewish communities. At the end of the 19th century and during the first half of the 20th, the district around the rue des Rosiers, referred to as the "Pletzl", welcomed many Eastern European Jews who reinforced the district's clothing specialization. During World War II the Jewish community was targeted by the Nazis; as of today the rue des Rosiers remains a major centre of the Paris Jewish community, which has made a comeback since the 1990s. Public notices announce Jewish events, bookshops specialize in Jewish books, numerous restaurants and other outlets sell kosher food; the synagogue on 10 rue Pavée is adjacent to the rue des Rosiers. It was designed in 1913 by Art Nouveau architect Hector Guimard, who designed several Paris Metro stations. Le Marais houses the Museum of Jewish Art and History, the largest French museum of Jewish art and history; the museum conveys the rich history and culture of Jews in Europe and North Africa from the Middle Ages to the 20th century.
In 1982, Palestinan terrorists murdered 6 people and injured 22 at a Jewish restaurant in Le Marais, Chez Jo Goldenberg, an attack which evidence ties to the Abu Nidal Organization. By the 1950s, the district had become a working-class area and most of its architectural masterpieces were in a bad state of repair. In 1964, General de Gaulle's Culture Minister Andre Malraux made the Marais the first secteur sauvegardé; these were meant to conserve places of special cultural significance. In the following decades the government and the Parisian municipality led an active restoration and Rehabilitation Policy; the main Hôtels particuliers have been restored and turned into museums: the Hôtel Salé hosts the Picasso Museum, the Hôtel Carnavalet hosts the Paris Historical Museum, the Hôtel Donon hosts the Cognacq-Jay Museum, the Hôtel de Saint-Aignan hosts the Musée d'Art et d'Histoire du Judaïsme. The site of Beaubourg, the western part of Marais, was chosen for the Centre Georges Pompidou, France's national Museum of Modern Art and one of the world's most important cultural institutions.
The building was completed in 1977 with revolutionary architecture by Renzo Piano and Richard Rogers. The Marais is now one of Paris' main localities for art galleries. Following its rehabilitation, the Marais has become a fashionable district, home to many trendy restaurants, fashion houses, hip galleries; the Marais is known for the Chinese community it hosts. The community began to appear during World War I. At that time, France needed workers to replace its at-war soldiers and China decided to send a few thousand of its citizens on the condition that they would not take part in the war. After the 1918 victory, some of them decided to stay in Paris living around the current rue au Maire. Today, most work in leather-related products; the Marais' Chinese community has settled in the north of the district in the surrounding of Place de la République. Next to it, on the Rue du Temple, is the Chinese Church of Paris. Other features of the neighbourhood include the Musée Picasso, the house of Nicolas Flamel, the Musée Cognacq-Jay, the Musée Carnavalet.
Le Marais became a centre of LGBT culture, beginning in the 1980s. As of today, 40% of the LGBT businesses in Paris are in Le Marais. Florence Tamagne, author of Paris:'Resting on its Laurels'?, wrote that Le
Montesquieu University known as Bordeaux IV, is a French university, based in Pessac, the suburbs of Bordeaux. Since the 2014 merger of three out of four of Bordeaux' universities, it is part of the University of Bordeaux. Named after the French lawyer and philosopher Montesquieu, Montesquieu University is the successor of the former Law and Economics Faculty, which origins go back as far as the 15th century, it incorporates long-standing teaching programmes and institutes which have an established reputation in the academic specialities of the University: law, political science and management. Montesquieu University is organised into 6 departments in the areas of economics and management and economic and social administration, as well as an Institute of Business Administration, 2 University Institutes of Technology. In addition, the Bordeaux Institute of Political Studies is annexed to the University; the University has 14,000 students and a staff of 400 teachers and researchers, with a non-academic staff of 300.
It awards around 4,100 diplomas each year at the various sites in Bordeaux itself, as well as at the satellite sites of Agen and Périgueux. There are 12 government-recognised research centres at the university, some of which are attached to large research organisations such as the CNRS and the National Foundation of Political Science. List of public universities in France by academy Official webpage of Bordeaux IV University Student association of Bordeaux IV
Montpellier is a city near the south coast of France on the Mediterranean Sea. It is the capital of the Hérault department, it is located in the Occitanie region. In 2016, 607,896 people lived in 281,613 in the city itself. Nearly one third of the population are students from three universities and from three higher education institutions that are outside the university framework in the city. Montpellier is the third-largest French city on the Mediterranean coast after Nice, it is the 7th-largest city of France, is the fastest-growing city in the country over the past 25 years. In the Early Middle Ages, the nearby episcopal town of Maguelone was the major settlement in the area, but raids by pirates encouraged settlement a little further inland. Montpellier, first mentioned in a document of 985, was founded under a local feudal dynasty, the Guilhem, who combined two hamlets and built a castle and walls around the united settlement; the two surviving towers of the city walls, the Tour des Pins and the Tour de la Babotte, were built around the year 1200.
Montpellier came to prominence in the 12th century—as a trading centre, with trading links across the Mediterranean world, a rich Jewish cultural life that flourished within traditions of tolerance of Muslims and Cathars—and of its Protestants. William VIII of Montpellier gave freedom for all to teach medicine in Montpellier in 1180; the city's faculties of law and medicine were established in 1220 by Cardinal Conrad of Urach, legate of Pope Honorius III. This era marked the high point of Montpellier's prominence; the city became a possession of the Kings of Aragon in 1204 by the marriage of Peter II of Aragon with Marie of Montpellier, given the city and its dependencies as part of her dowry. Montpellier gained a charter in 1204 when Peter and Marie confirmed the city's traditional freedoms and granted the city the right to choose twelve governing consuls annually. Under the Kings of Aragon, Montpellier became a important city, a major economic centre and the primary centre for the spice trade in the Kingdom of France.
It was the second or third most important city of France at that time, with some 40,000 inhabitants before the Black Death. Montpellier remained a possession of the crown of Aragon until it passed to James III of Majorca, who sold the city to the French king Philip VI in 1349, to raise funds for his ongoing struggle with Peter IV of Aragon. In the 14th century, Pope Urban VIII gave Montpellier a new monastery dedicated to Saint Peter, noteworthy for the unusual porch of its chapel, supported by two high, somewhat rocket-like towers. With its importance increasing, the city gained a bishop, who moved from Maguelone in 1536, the huge monastery chapel became a cathedral. In 1432, Jacques Cœur established himself in the city and it became an important economic centre, until 1481 when Marseille overshadowed it in this role. At the time of the Reformation in the 16th century, many of the inhabitants of Montpellier became Protestants and the city became a stronghold of Protestant resistance to the Catholic French crown.
In 1622, King Louis XIII besieged the city which surrendered after a two months siege, afterwards building the Citadel of Montpellier to secure it. Louis XIV made Montpellier capital of Bas Languedoc, the town started to embellish itself, by building the Promenade du Peyrou, the Esplanade and a large number of houses in the historic centre. After the French Revolution, the city became the capital of the much smaller Hérault. During the 19th century the city thrived on the wine culture that it was able to produce due to the abundance of sun throughout the year; the wine consumption in France allowed Montpellier's citizens to become wealthy until in the 1890's a fungal disease had spread amongst the vineyards and the people were no longer able to grow the grapes needed for wine. After this the city had grown because it welcomed immigrants from Algeria and other parts of northern Africa after Algeria's independence from France. In the 21st century Montpellier is between 8th largest city; the city had another influx in population more largely due to the student population, who make up about one-third of Montpellier's population.
The school of medicine is what kickstarted the city's thriving university culture,however many other universities have been well established in the coastal city that has developments such as the Corum and the Antigone that too have been drawing in more and more students. William I of Montpellier William II of Montpellier William III of Montpellier William IV of Montpellier William V of Montpellier William VI of Montpellier William VII of Montpellier William VIII of Montpellier Marie of Montpellier and King Peter II of Aragon James I of Aragon James II of Majorca James III of Majorca The city is situated on hilly ground 10 km inland from the Mediterranean coast, on the River Lez; the name of the city, Monspessulanus, is said to have stood for mont pelé, or le mont de la colline Montpellier is located 170 km from Marseille, 242 km from Toulouse, 748 km from Paris. Montpellier's highest point is the Place du Peyrou, at an altitude of 57 m; the city is built on two hills and Montpelliéret, thus some o
France the French Republic, 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, from the Rhine to the Atlantic Ocean, it is bordered by Belgium and Germany to the northeast and Italy to the east, Andorra and Spain to the south. The overseas territories include French Guiana in South America and several islands in the Atlantic and Indian oceans; the country's 18 integral regions span a combined area of 643,801 square kilometres 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, Toulouse, Bordeaux and Nice. During the Iron Age, what is now metropolitan France was inhabited by 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 Middle Francia and West Francia. West Francia which became the Kingdom of France in 987 emerged as a major European power in the Late Middle Ages following its victory in the Hundred Years' War. 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 Protestants. France became Europe's dominant cultural 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, saw the drafting of the Declaration of the Rights of Man and of the Citizen, which expresses the nation's ideals to this day. In the 19th century, Napoleon established the First French Empire, his subsequent Napoleonic Wars shaped the course of continental Europe. Following the collapse of the Empire, France endured a tumultuous succession of governments culminating with the establishment of the French Third Republic in 1870.
France was a major participant in World War I, from which it emerged victorious, was one of the Allies in World War II, but came under occupation by the Axis powers in 1940. Following liberation in 1944, a Fourth Republic was established and dissolved in the course of the Algerian War; the Fifth Republic, led by Charles de Gaulle, remains today. Algeria and nearly all the other colonies became independent in the 1960s and retained close economic and military connections with France. France has long been a global centre of art and philosophy, it hosts the world's fourth-largest number of UNESCO World Heritage Sites and is the leading tourist destination, receiving around 83 million foreign visitors annually. France is a developed country with the world's sixth-largest economy by nominal GDP, tenth-largest by purchasing power parity. In terms of aggregate household wealth, it ranks fourth in the world. France performs well in international rankings of education, health care, life expectancy, human development.
France is considered a great power in global affairs, being one of the five permanent members of the United Nations Security Council with the power to veto and an official nuclear-weapon state. It is a leading member state of the European Union and the Eurozone, a member of the Group of 7, North Atlantic Treaty Organization, Organisation for Economic Co-operation and Development, the World Trade Organization, La Francophonie. Applied to the whole Frankish Empire, the name "France" comes from the Latin "Francia", or "country of the Franks". Modern France is still named today "Francia" in Italian and Spanish, "Frankreich" in German and "Frankrijk" in Dutch, all of which have more or less the same historical meaning. There are various theories as to the origin of the name Frank. Following the precedents of Edward Gibbon and Jacob Grimm, the name of the Franks has been linked with the word frank in English, it has been suggested that the meaning of "free" was adopted because, after the conquest of Gaul, only Franks were free of taxation.
Another theory is that it is derived from the Proto-Germanic word frankon, which translates as javelin or lance as the throwing axe of the Franks was known as a francisca. However, it has been determined that these weapons were named because of their use by the Franks, not the other way around; the oldest traces of human life in what is now France date from 1.8 million years ago. Over the ensuing millennia, Humans were confronted by a harsh and variable climate, marked by several glacial eras. Early hominids led a nomadic hunter-gatherer life. France has a large number of decorated caves from the upper Palaeolithic era, including one of the most famous and best preserved, Lascaux. At the end of the last glacial period, the climate became milder. After strong demographic and agricultural development between the 4th and 3rd millennia, metallurgy appeared at the end of the 3rd millennium working gold and bronze, iron. France has numerous megalithic sites from the Neolithic period, including the exceptiona
Perspective in the graphic arts is an approximate representation on a flat surface, of an image as it is seen by the eye. The two most characteristic features of perspective are that objects appear smaller as their distance from the observer increases. Italian Renaissance painters and architects including Filippo Brunelleschi, Paolo Uccello, Piero della Francesca and Luca Pacioli studied linear perspective, wrote treatises on it, incorporated it into their artworks, thus contributing to the mathematics of art. Linear perspective always works by representing the light that passes from a scene through an imaginary rectangle, to the viewer's eye, as if a viewer were looking through a window and painting what is seen directly onto the windowpane. If viewed from the same spot as the windowpane was painted, the painted image would be identical to what was seen through the unpainted window; each painted object in the scene is thus a flat, scaled down version of the object on the other side of the window.
Because each portion of the painted object lies on the straight line from the viewer's eye to the equivalent portion of the real object it represents, the viewer sees no difference between the painted scene on the windowpane and the view of the real scene. All perspective drawings assume. Objects are scaled relative to that viewer. An object is not scaled evenly: a circle appears as an ellipse and a square can appear as a trapezoid; this distortion is referred to as foreshortening. Perspective drawings have a horizon line, implied; this line, directly opposite the viewer's eye, represents objects infinitely far away. They have shrunk, to the infinitesimal thickness of a line, it is analogous to the Earth's horizon. Any perspective representation of a scene that includes parallel lines has one or more vanishing points in a perspective drawing. A one-point perspective drawing means that the drawing has a single vanishing point directly opposite the viewer's eye and on the horizon line. All lines parallel with the viewer's line of sight recede to the horizon towards this vanishing point.
This is the standard "receding railroad tracks" phenomenon. A two-point drawing would have lines parallel to two different angles. Any number of vanishing points are possible in a drawing, one for each set of parallel lines that are at an angle relative to the plane of the drawing. Perspectives consisting of many parallel lines are observed most when drawing architecture; because it is rare to have a scene consisting of lines parallel to the three Cartesian axes, it is rare to see perspectives in practice with only one, two, or three vanishing points. The earliest art paintings and drawings sized many objects and characters hierarchically according to their spiritual or thematic importance, not their distance from the viewer, did not use foreshortening; the most important figures are shown as the highest in a composition from hieratic motives, leading to the so-called "vertical perspective", common in the art of Ancient Egypt, where a group of "nearer" figures are shown below the larger figure or figures.
The only method to indicate the relative position of elements in the composition was by overlapping, of which much use is made in works like the Parthenon Marbles. Chinese artists made use of oblique perspective from the first or second century until the 18th century, it is not certain. Oblique projection is seen in Japanese art, such as in the Ukiyo-e paintings of Torii Kiyonaga. In the 18th century, Chinese artists began to combine oblique perspective with regular diminution of size of people and objects with distance. Systematic attempts to evolve a system of perspective are considered to have begun around the fifth century BC in the art of ancient Greece, as part of a developing interest in illusionism allied to theatrical scenery; this was detailed within Aristotle's Poetics as skenographia: using flat panels on a stage to give the illusion of depth. The philosophers Anaxagoras and Democritus worked out geometric theories of perspective for use with skenographia. Alcibiades had paintings in his house designed using skenographia, so this art was not confined to the stage.
Euclid's Optics introduced a mathematical theory of perspective, but there is some debate over the extent to which Euclid's perspective coincides with the modern mathematical definition. Various paintings and drawings from the Middle Ages show amateur attempts at projections of objects, where parallel lines are represented in isometric projection, or by nonparallel ones without a vanishing point. By the periods of antiquity, artists those in less popular traditions, were well aware that distant objects could be shown smaller than those close at hand for increased realism, but whether this convention was used in a work depended on many factors; some of the paintings found in the ruins o