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A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. ... De Witt invented the term 'directrix'. [42] Applications
Menaechmus (Greek: Μέναιχμος, c. 380 – c. 320 BC) was an ancient Greek mathematician, geometer and philosopher [1] born in Alopeconnesus or Prokonnesos in the Thracian Chersonese, who was known for his friendship with the renowned philosopher Plato and for his apparent discovery of conic sections and his solution to the then-long-standing problem of doubling the cube using the ...
The conic sections, or two-dimensional figures formed by the intersection of a plane with a cone at different angles. The theory of these figures was developed extensively by the ancient Greek mathematicians, surviving especially in works such as those of Apollonius of Perga. The conic sections pervade modern mathematics.
Particularly of interest to Pascal was a work of Desargues on conic sections. Following Desargues' thinking, the 16-year-old Pascal produced, as a means of proof, a short treatise on what was called the Mystic Hexagram , Essai pour les coniques ( Essay on Conics ) and sent it — his first serious work of mathematics — to Père Mersenne in ...
The most characteristic product of Greek mathematics may be the theory of conic sections, which was largely developed in the Hellenistic period, starting with the work of Menaechmus and perfected primarily under Apollonius in his work Conics.
René Descartes (1596–1650) – invented the methodology of analytic geometry, also called Cartesian geometry after him; Pierre de Fermat (1607–1665) – analytic geometry; Blaise Pascal (1623–1662) – projective geometry; Christiaan Huygens (1629–1695) – evolute; Giordano Vitale (1633–1711) Philippe de La Hire (1640–1718 ...
Descartes "invented the convention of representing unknowns in equations by x, y, and z, and knowns by a, b, and c". He also "pioneered the standard notation" that uses superscripts to show the powers or exponents; for example, the 2 used in x 2 to indicate x squared.
The Conics (Ancient Greek: Κωνικά) was a four-book survey on conic sections, which was later superseded by Apollonius' more comprehensive treatment of the same name. [58] [57] The work's existence is known primarily from Pappus, who asserts that the first four books of Apollonius' Conics are largely based on Euclid's earlier work. [59]