Treatise in the context of "Reyner Banham"

Claudius Ptolemy (/ˈtɒləmi/; Ancient Greek: Πτολεμαῖος, Ptolemaios; Latin: Claudius Ptolemaeus; c. 100 – 160s/170s AD), better known mononymously as Ptolemy, was a Greco-Roman mathematician, astronomer, astrologer, geographer, and music theorist who wrote about a dozen scientific treatises, three of which were important to later Byzantine, Islamic, and Western European science. The first was his astronomical treatise now known as the Almagest, originally entitled Mathēmatikḗ Syntaxis (Μαθηματικὴ Σύνταξις, Mathēmatikḗ Syntaxis, lit. 'Mathematical Treatise'). The second is the Geography, which is a thorough discussion on maps and the geographic knowledge of the Greco-Roman world. The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. This is sometimes known as the Apotelesmatika (Αποτελεσματικά, 'On the Effects') but more commonly known as the Tetrábiblos (from the Koine Greek meaning 'four books'; Latin: Quadripartitum).

The Catholic Church promoted his work, which included the only mathematically sound geocentric model of the Solar System, and unlike most Greek mathematicians, Ptolemy's writings (foremost the Almagest) never ceased to be copied or commented upon, both in late antiquity and in the Middle Ages. However, it is likely that only a few truly mastered the mathematics necessary to understand his works, as evidenced particularly by the many abridged and watered-down introductions to Ptolemy's astronomy that were popular among the Arabs and Byzantines. His work on epicycles is now seen as a very complex theoretical model built in order to explain a false tenet based on faith.

The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise written c. 300 BC by the Ancient Greek mathematician Euclid.

The Elements is the oldest extant large-scale deductive treatment of mathematics. Drawing on the works of earlier mathematicians such as Hippocrates of Chios, Eudoxus of Cnidus, and Theaetetus, the Elements is a collection in 13 books of definitions, postulates, geometric constructions, and theorems with their proofs that covers plane and solid Euclidean geometry, elementary number theory, and incommensurability. These include the Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many prime numbers, and the construction of regular polygons and polyhedra.

Johann Wolfgang von Goethe (28 August 1749 – 22 March 1832) was a German polymath who is widely regarded as the most influential writer in the German language. His work has had a wide-ranging influence on literary, political, and philosophical thought in the Western world from the late 18th century to the present. A poet, playwright, novelist, scientist, statesman, theatre-director, and critic, Goethe wrote a wide range of works, including plays, poetry and aesthetic criticism, as well as treatises on botany, anatomy, and colour.

Goethe took up residence in Weimar in 1775 following the success of his first novel, The Sorrows of Young Werther (1774), and joined a thriving intellectual and cultural environment under the patronage of Duchess Anna Amalia that formed the basis of Weimar Classicism. He was ennobled by Karl August, Duke of Saxe-Weimar, in 1782. Goethe was an early participant in the Sturm und Drang literary movement. During his first ten years in Weimar, Goethe became a member of the Duke's privy council (1776–1785), sat on the war and highway commissions, oversaw the reopening of silver mines in nearby Ilmenau, and implemented a series of administrative reforms at the University of Jena. He also contributed to the planning of Weimar's botanical park and the rebuilding of its Ducal Palace.

Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences (French: Discours de la Méthode pour bien conduire sa raison, et chercher la vérité dans les sciences) is a philosophical and autobiographical treatise published by René Descartes in 1637. It is best known as the source of the famous quotation "Je pense, donc je suis" ("I think, therefore I am", or "I am thinking, therefore I exist"), which occurs in Part IV of the work. A similar argument without this precise wording is found in Meditations on First Philosophy (1641), and a Latin version of the same statement, "Cogito, ergo sum", is found in Principles of Philosophy (1644).

Discourse on the Method is one of the most influential works in the history of modern philosophy, and important to the development of natural sciences. In this work, Descartes tackles the problem of skepticism, which had previously been studied by other philosophers. While addressing some of his predecessors and contemporaries, Descartes modified their approach to account for a truth he found to be incontrovertible; he started his line of reasoning by doubting everything, so as to assess the world from a fresh perspective, clear of any preconceived notions.

The Spirit of Law (French: De l'esprit des lois, originally spelled De l'esprit des loix), also known in English as The Spirit of [the] Laws, is a treatise on political theory, as well as a pioneering work in comparative law by Montesquieu, published in 1748. Originally published anonymously, as was the norm, its influence outside France was aided by its rapid translation into other languages. In 1750 Thomas Nugent published an English translation, many times revised and reprinted in countless editions. In 1751 the Roman Catholic Church added De l'esprit des lois to its Index Librorum Prohibitorum ("List of Prohibited Books").

Montesquieu's treatise, already widely disseminated, had an enormous influence on the work of many others, most notably: Catherine the Great, who produced Nakaz (Instruction); the Founding Fathers of the United States Constitution; and Alexis de Tocqueville, who applied Montesquieu's methods to a study of American society, in Democracy in America. British historian and politician Macaulay referenced Montesquieu's continuing importance when he wrote in his 1827 essay entitled "Machiavelli" that "Montesquieu enjoys, perhaps, a wider celebrity than any political writer of modern Europe" [1].

The Encyclopedia of the Epistles of Purity is an esoteric Shia Islamic text written by the mysterious Brethren of Purity during the Buyid era. Composed of 52 treatises, it had a great influence on later intellectual leading lights of the Muslim world, such as Ibn Arabi, and was transmitted as far abroad within the Muslim world as al-Andalus.

The identity and period of the authors of the Encyclopedia have not been conclusively established, though the work has been mostly linked with Isma'ilism. Idris Imad al-Din, a prominent 15th-century Isma'ili missionary in Yemen, credited the authorship of the encyclopedia to Muhammad al-Taqi, the 9th Isma'ili Imam, who lived in occultation in the era of the Abbasid Caliphate at the beginning of the Islamic Golden Age.

Discourse on the Origin and Basis of Inequality Among Men (French: Discours sur l'origine et les fondements de l'inégalité parmi les hommes), also commonly known as the "Second Discourse", is a 1755 treatise by philosopher Jean-Jacques Rousseau, on the topic of social inequality and its origins. The work was written in 1754 as Rousseau's entry in a competition by the Academy of Dijon, and was published in 1755.

Rousseau first exposes in this work his conception of a human state of nature (broadly believed to be a hypothetical thought exercise) and of human perfectibility, an early idea of progress. He then explains the way in which, in his view, people may have established civil society, and this leads him to conclude that private property is the original source and basis of all inequality.

Emile, or On Education (French: Émile, ou De l’éducation) is a treatise on the nature of education and on the nature of man written by Jean-Jacques Rousseau, who considered it to be the "best and most important" of all his writings. Due to a section of the book entitled "Profession of Faith of the Savoyard Vicar", Emile was banned in Paris and Geneva and was publicly burned in 1762, the year of its first publication. It was forbidden by the Church being listed on the Index Librorum Prohibitorum. During the French Revolution, Emile served as the inspiration for what became a new national system of education. After the American Revolution, Noah Webster used content from Emile in his best-selling schoolbooks and he also used it to argue for the civic necessity of broad-based female education.