Contents 1 Life 2 Elements 2.1 Fragments 3 Other works 3.1 Lost works 4 Legacy 5 See also 6 Notes 7 References 8 Further reading 9 External links Life
Very few original references to
Euclidis quae supersunt omnia (1704)
One of the oldest surviving fragments of Euclid's Elements, found at
Main article: Euclid's Elements
Although many of the results in Elements originated with earlier
mathematicians, one of Euclid's accomplishments was to present them in
a single, logically coherent framework, making it easy to use and easy
to reference, including a system of rigorous mathematical proofs that
remains the basis of mathematics 23 centuries later.[17]
There is no mention of
If a straight line be cut into equal and unequal segments, the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section is equal to the square on the half. Other works Euclid's construction of a regular dodecahedron. Construction of a dodecahedron by placing faces on the edges of a cube. In addition to the Elements, at least five works of
Data deals with the nature and implications of "given" information in
geometrical problems; the subject matter is closely related to the
first four books of the Elements.
On Divisions of Figures, which survives only partially in Arabic
translation, concerns the division of geometrical figures into two or
more equal parts or into parts in given ratios. It is similar to a
first-century AD work by Heron of Alexandria.
Catoptrics, which concerns the mathematical theory of mirrors,
particularly the images formed in plane and spherical concave mirrors.
The attribution is held to be anachronistic however by J J O'Connor
and E F Robertson who name Theon of
20th Century statue in honor of
Optics is the earliest surviving Greek treatise on perspective. In its
definitions
Lost works Other works are credibly attributed to Euclid, but have been lost. Conics was a work on conic sections that was later extended by
Legacy
The European Space Agency's (ESA)
Axiomatic method Euclid's orchard Euclidean algorithm Euclidean geometry Euclidean relation Extended Euclidean algorithm List of topics named after Euclid Notes ^ a b Bruno, Leonard C. (2003) [1999]. Math and mathematicians :
the history of math discoveries around the world. Baker, Lawrence W.
Detroit, Mich.: U X L. p. 125. ISBN 0787638137.
OCLC 41497065.
^ Ball, pp. 50–62.
^ Boyer, pp. 100–19.
^ Macardle, et al. (2008). Scientists: Extraordinary People Who
Altered the Course of History. New York: Metro Books. g. 12.
^ Harper, Douglas. "Euclidean (adj.)". Online Etymology Dictionary.
Retrieved March 18, 2015.
^ Heath (1981), p. 357
^ Joyce, David. Euclid.
References Artmann, Benno (1999). Euclid: The Creation of Mathematics. New York:
Springer. ISBN 0-387-98423-2.
Ball, W.W. Rouse (1960) [1908]. A Short Account of the History of
Further reading DeLacy, Estelle Allen (1963).
External links Wikiquote has quotations related to: Euclid
Wikimedia Commons has media related to Euclid.
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