Menaechmus

▪ Greek mathematicianborn c. 380 BC, Alopeconnesus, Asia Minor [now Turkey]died c. 320, Cyzicus? [modern Kapidaği Yarimadasi, Turkey]Greek mathematician and friend of Plato who is credited with discovering the conic sections (conic section).Menaechmus's credit for discovering that the ellipse, parabola, and hyperbola are sections of a cone—produced by the intersection of a plane with the surface of a cone—derives from an epigram of Eratosthenes of Cyrene (c. 276–194 BC) that refers to cutting the cone “in the triads of Menaechmus.” Eutocius of Ascalon (fl. AD 520) recounts two of Menaechmus's solutions to the problem of constructing a cube with double the volume of a given cube of side a. Menaechmus's solutions use properties of the parabola and hyperbola to produce line segments x and y such that the following continued proportion holds: a:x = x:y = y:2a. (Roughly 100 years earlier, Hippocrates of Chios reduced the problem of “doubling the cube” of side a to finding x and y that satisfy this continued proportion.)According to the philosopher Proclus (c. 410–485), Menaechmus's brother Dinostratus gained fame as a mathematician for discovering how the trisectrix, a curve first invented for trisecting the angle, could be used to construct a square equal in area to a given circle.
* * *
Universalium. 2010.
Look at other dictionaries:
MENAECHMUS — Philosophus Platonicus Proconnesius, Eudoxi auditor; vixit temporibus Platonis. Item historicus Sicyonius. Voss. Hist. Graec. l. 1. c. 11 … Hofmann J. Lexicon universale
Menaechmus — There is also a Menaechmus in Plautus play, The Menaechmi. Menaechmus (Greek: Μέναιχμος, 380–320 BC) was an ancient Greek mathematician and geometer born in Alopeconnesus in the Thracian Chersonese, who was known for his friendship with the… … Wikipedia
МЕНЕХМ — • Menaechmus, Μέναιχμος, 1. скульптор из Навпакта, живший ок. 490 г. до Р. X., сделал из слоновой кости и золота статую Артемиды, которая была поставлена в крепости города Патр; 2. другой скульптор родом из Сикиона, жил… … Реальный словарь классических древностей
Menaechmi — Plautus Written by Plautus Characters Peniculus (Menaechmus s friend) Menaechmus of Epidamnus Erotium (Menaechmus s mist … Wikipedia
History of algebra — Elementary algebra is the branch of mathematics that deals with solving for the operands of arithmetic equations. Modern or abstract algebra has its origins as an abstraction of elementary algebra. Historians know that the earliest mathematical… … Wikipedia
mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium
Analytic geometry — Cartesian coordinates. Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning … Wikipedia
Doubling the cube — (also known as the Delian problem) is one of the three most famous geometric problems unsolvable by compass and straightedge construction. It was known to the Egyptians, Greeks, and Indians.[1] To double the cube means to be given a cube of some… … Wikipedia
Archytas — Infobox Philosopher region = Western Philosophy era = Pre Socratic philosophy color = #B0C4DE image caption = Archytas name = Archytas birth = 428 BC death = 347 BC school tradition = Pythagoreanism main interests = influences = Philolaus… … Wikipedia
Dinostratus — (Greek: Δεινόστρατος, c. 390 BCE – c. 320 BCE) was a Greek mathematician and geometer, and the brother of Menaechmus. He is known for using the quadratrix to solve the problem of squaring the circle. Contents 1 Life and work 2 Citations and… … Wikipedia