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someone who had begun to read geometry with Euclid, when he had learnt the first theorem, asked Euclid, "what shall I get by learning these things?" Euclid called his slave and said, "Give him threepence, since he must make gain out of what he learns."
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mathforum.org/geometry/wwweuclid/bio.htm
mathforum.org/geometry/wwweuclid/bio.htm
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This series of interdisciplinary lessons on Euclid's Elements was researched and written by Alex Pearson, a Classicist at The Episcopal Academy in Merion, Pennsylvania. ... "Why do we have to learn this?" A discussion of how geometry has seemed indispensable to some people for over two millennia.
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mathforum.org/geometry/wwweuclid/
mathforum.org/geometry/wwweuclid/
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Euclidean geometry - Wikipedia, the free encyclopedia
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Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry. It has been one of...
en.wikipedia.org/wiki/Euclidean_geometry
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Non-Euclidean geometry - Wikipedia, the free encyclopedia
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A non-Euclidean geometry is characterized by a non-vanishing Riemann curvature tensor. Examples of non-Euclidean geometries include the hyperbolic and elliptic geometry, which are contrasted with a ...
en.wikipedia.org/wiki/Non-Euclidean_geometry
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The name of Euclid is often considered synonymous with geometry. His Elements is one of the most important and influential works in the history of mathematics, having served as the basis, if not the actual text, for most geometrical teaching in the West for the past 2000 years.
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www.obkb.com/dcljr/euclid.html
www.obkb.com/dcljr/euclid.html
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When the king asked if there was an easier way to learn geometry Euclid said, "There is no royal road to geometry." Then he sent the king to study. ... Euclid's most famous work was the Elements. This series of books was used as a center for teaching geometry for 2,000 years. It has been translated into Latin and Arabic.
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warrensburg.k12.mo.us/math/euclid/mike.html
warrensburg.k12.mo.us/math/euclid/mike.html
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Glasgow University Library Special Collections Euclid's geometry ... It is a fifteenth century manuscript of Euclid's Elements in Latin with other texts mainly on geometry. ... Euclid's Geometry...
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special.lib.gla.ac.uk/exhibns/month/june2001.html
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A biography of Euclid. A short description of his life and contributions to the study of geometry. Links to other resources. ... The Elements is divided into thirteen books which cover plane geometry, arithmetic and number theory, irrational numbers, and solid geometry. Euclid organized the known geometrical ideas,
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www.mathopenref.com/euclid.html
www.mathopenref.com/euclid.html
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On another occasion, a student of his questioned the value of learning geometry, much like students today. Euclid responded by giving the small child a coin, saying that "he must make gain out of what he learns."
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www.lycos.com/info/euclid--geometry.html
www.lycos.com/info/euclid--geometry.html
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