Leon (mathematician)
Leon () was an Ancient Greek mathematician and pupil of Neocleides, who was active from around 370 to 340 BCE. His book ''Elements'' was overshadowed by Euclid's work of the same name. Proclus Proclus Lycius (; 8 February 412 – 17 April 485), called Proclus the Successor (, ''Próklos ho Diádokhos''), was a Greek Neoplatonist philosopher, one of the last major classical philosophers of late antiquity. He set forth one of th ... states the following Thomas Taylor, The Philosophical and Mathematical Commentaries of Proclus on the First Book of Euclid's Elements' Vol. 1 (1788) in his ''Commentary on the First Book of Euclid's Elements'':But Neoclides was junior to Leodamas, and his disciple was Leon; who added many things to those thought of by former geometricians. So that Leon also constructed elements more accurate, both on account of their multitude, and on account of the use which they exhibit: and besides this, he discovered a method of determining when a probl ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Neocleides
Neoclides (Ancient Greek: Νεοκλείδης, romanized: Neokleidēs, b. about 420 BCE) was an ancient Greek mathematician. He was a younger contemporary of Plato and Leodamas of Thasos and himself served at the Platonic Academy The Academy (), variously known as Plato's Academy, or the Platonic Academy, was founded in Classical Athens, Athens by Plato ''wikt:circa, circa'' 387 BC. The academy is regarded as the first institution of higher education in the west, where .... He also taught Leon. Otherwise, not much is known about him. References {{Authority control 4th-century BC Greek mathematicians ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Euclid
Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine and early Renaissance scholars mistook him for the earlier philo ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Euclid's Elements
The ''Elements'' ( ) is a mathematics, mathematical treatise written 300 BC by the Ancient Greek mathematics, Ancient Greek mathematician Euclid. ''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 (mathematician), Theaetetus, the ''Elements'' is a collection in 13 books of definitions, postulates, propositions and mathematical proofs that covers plane and solid Euclidean geometry, elementary number theory, and Commensurability (mathematics), incommensurable lines. These include Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many prime numbers, and the Compass-and-straightedge construction, construction of regular polygons and Regular polyhedra, polyhedra. Often referred to as the most successful textbook ever written, the ''Elements'' has continued to be ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Proclus
Proclus Lycius (; 8 February 412 – 17 April 485), called Proclus the Successor (, ''Próklos ho Diádokhos''), was a Greek Neoplatonist philosopher, one of the last major classical philosophers of late antiquity. He set forth one of the most elaborate and fully developed systems of Neoplatonism and, through later interpreters and translators, exerted an influence on Byzantine philosophy, early Islamic philosophy, scholastic philosophy, and German idealism, especially G. W. F. Hegel, who called Proclus's ''Platonic Theology'' "the true turning point or transition from ancient to modern times, from ancient philosophy to Christianity." Biography The primary source for the life of Proclus is the eulogy ''Proclus'', ''or On Happiness'' that was written for him upon his death by his successor, Marinus, Marinus' biography set out to prove that Proclus reached the peak of virtue and attained eudaimonia. There are also a few details about the time in which he lived in the ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Leodamas Of Thasos
Leodamas of Thasos (, c. 380 BC) was a Greek mathematician and a contemporary of Plato, about whom little is known. There are two references to Leodamas in Proclus's ''Commentary on Euclid'': At this time lato's timealso lived Leodamas of Thasos, Archytas of Tarentum, and Theaetetus of Athens, by whom the theorems f geometrywere increased in number and brought into a more scientific arrangement. Younger than Leodamas was Neoclides and his pupil Leon, who added many discoveries. Plato, it is said, taught this method nalysisto Leodamas, who is also reported to have made many discoveries in geometry by means of it. and one in Diogenes Laërtius' ''Lives and Opinions of Eminent Philosophers'', Book 3 (Plato): He lato Lato () was an ancient city of Crete, the ruins of which are located approximately 3 km from the village of Kritsa. History The Dorian city-state was built in a defensible position overlooking Mirabello Bay between two peaks, both of ...was the fir ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |