"Euclid was a Greek mathematician best known for his treatise on geometry: The Elements . This influenced the development of Western mathematics for more than 2000 years."
2006-07-14 01:30:43
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answer #1
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answered by Annie's World 4
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Euclid (also referred as Euclid of Alexandria) (Greek: Îá½ÎºÎ»ÎµÎ¯Î´Î·Ï) (ca. 325 BC–265 BC), a Greek mathematician, who lived in Alexandria, Hellenistic Egypt, almost certainly during the reign of Ptolemy I (323 BC–283 BC), is often considered to be the "father of geometry". His most popular work, Elements, is thought to be one of the most successful textbooks in the history of mathematics. Within it, the properties of geometrical objects are deduced from a small set of axioms, thereby founding the axiomatic method of mathematics.
Although best-known for its geometric results, the Elements also includes various results in number theory, such as the connection between perfect numbers and Mersenne primes.
Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces. Neither the year nor place of his birth have been established, nor the circumstances of his death.
2006-07-14 09:15:30
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answer #2
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answered by Anonymous
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Euclid (also referred as Euclid of Alexandria) (Greek: Îá½ÎºÎ»ÎµÎ¯Î´Î·Ï) (ca. 325 BC–265 BC), a Greek mathematician, who lived in Alexandria, Hellenistic Egypt, almost certainly during the reign of Ptolemy I (323 BC–283 BC), is often considered to be the "father of geometry". His most popular work, Elements, is thought to be one of the most successful textbooks in the history of mathematics. Within it, the properties of geometrical objects are deduced from a small set of axioms, thereby founding the axiomatic method of mathematics.
Although best-known for its geometric results, the Elements also includes various results in number theory, such as the connection between perfect numbers and Mersenne primes.
Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces. Neither the year nor place of his birth have been established, nor the circumstances of his death.
2006-07-14 08:36:28
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answer #3
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answered by StreetX 2
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Euclid (also referred as Euclid of Alexandria) (Greek: Îá½ÎºÎ»ÎµÎ¯Î´Î·Ï) (ca. 325 BC–265 BC), a Greek mathematician, who lived in Alexandria, Hellenistic Egypt, almost certainly during the reign of Ptolemy I (323 BC–283 BC), is often considered to be the "father of geometry". His most popular work, Elements, is thought to be one of the most successful textbooks in the history of mathematics. Within it, the properties of geometrical objects are deduced from a small set of axioms, thereby founding the axiomatic method of mathematics.
Although best-known for its geometric results, the Elements also includes various results in number theory, such as the connection between perfect numbers and Mersenne primes.
Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces. Neither the year nor place of his birth have been established, nor the circumstances of his death.
In addition to the Elements, four works of Euclid have survived to the present day.
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 third century (AD) work by Heron of Alexandria, except Euclid's work characteristically lacks any numerical calculations.
Phaenomena concerns the application of spherical geometry to problems of astronomy.
Optics, the earliest surviving Greek treatise on perspective, contains propositions on the apparent sizes and shapes of objects viewed from different distances and angles.
All of these works follow the basic logical structure of the Elements, containing definitions and proved propositions.
There are four works credibly attributed to Euclid which have been lost.
Conics was a work on conic sections that was later extended by Apollonius of Perga into his famous work on the subject.
Porisms might have been an outgrowth of Euclid's work with conic sections, but the exact meaning of the title is controversial.
Pseudaria, or Book of Fallacies, was an elementary text about errors in reasoning.
Surface Loci concerned either loci (sets of points) on surfaces or loci which were themselves surfaces; under the latter interpretation, it has been hypothesized that the work might have dealt with quadric surfaces.
Hope you like this.
2006-07-14 08:49:51
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answer #4
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answered by Sherlock Holmes 6
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A greek mathematician and the father of geometry. He wrote "Elements" which is thought to be the most sucessful textbook on mathematics in history.
Euclidean Geometry bears his name and is based on his works. It is an accurate representation of physical reality in *most* circumstances (Relativistic physics requires the use of non-euclidean geometry)
2006-07-14 08:37:21
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answer #5
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answered by shinobisoulxxx 2
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An ancient mathematician.
Developed the Euclidean Theorem.
2006-07-14 08:31:00
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answer #6
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answered by J.D. 6
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a greek mathematecian who is known for his treatises on geometry
2006-07-14 08:31:31
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answer #7
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answered by ashokjayanti 1
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A really smart guy when it came to math, as we still talk about him.
2006-07-14 08:32:16
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answer #8
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answered by Anonymous
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Eu·clid1 (yÅ«'klÄd) , Third century B.C..
Greek mathematician who applied the deductive principles of logic to geometry, thereby deriving statements from clearly defined axioms.
Euclid (yÅ«'klÄd) , fl. 300 B.C., Greek mathematician. Little is known of his life other than the fact that he taught at Alexandria, being associated with the school that grew up there in the late 4th cent. B.C. He is famous for his Elements, a presentation in thirteen books of the geometry and other mathematics known in his day. The first six books cover elementary plane geometry and have served since as the basis for most beginning courses on this subject. The other books of the Elements treat the theory of numbers and certain problems in arithmetic (on a geometric basis) and solid geometry, including the five regular polyhedra, or Platonic solids. The great contribution of Euclid was his use of a deductive system for the presentation of mathematics. Primary terms, such as point and line, are defined; unproved assumptions, or postulates, regarding these terms are stated; and a series of statements are then deduced logically from the definitions and postulates. Although Euclid's system no longer satisfies modern requirements of logical rigor, its importance in influencing the direction and method of the development of mathematics is undisputed. One consequence of the critical examination of Euclid's system was the discovery in the early 19th cent. that his fifth postulate, equivalent to the statement that one and only one line parallel to a given line can be drawn through a point external to the line, can not be proved from the other postulates; on the contrary, by substituting a different postulate for this parallel postulate two different self-consistent forms of non-Euclidean geometry were deduced, one by Nikolai I. Lobachevsky (1826) and independently by János Bolyai (1832) and another by Bernhard Riemann (1854). A few modern historians have questioned Euclid's authorship of the Elements, but he is definitely known to have written other works, most notably the Optics.
Euclid (yooh-klid)
An ancient Greek mathematician; the founder of the study of geometry. Euclid's Elements is the basis for modern school textbooks in geometry. One of the basic statements, or postulates, of Euclid's geometry is that if a line and a point separate from it are given, only one line parallel to the first line can pass through the point.
Albert Einstein used other approaches to geometry to derive the theory of relativity. These “non-Euclidean geometries” deny Euclid's postulate about parallel lines.
Euclid
For other uses of this word, see Euclid (disambiguation).
EuclidEuclid of Alexandria (Greek: Îá½ÎºÎ»ÎµÎ¯Î´Î·Ï) (ca. 325 BC–265 BC), a Greek mathematician, who lived in Alexandria, Egypt almost certainly during the reign of Ptolemy I (323 BC–283 BC)is often considered to be the "father of geometry". His most popular work, Elements, is thought to be one of the most successful textbooks in the history of mathematics. Within it, the properties of geometrical objects are deduced from a small set of axioms, thereby anticipating (and partly inspiring) the axiomatic method of modern mathematics.
Although best-known for its geometric results, the Elements also includes various results in number theory, such as the connection between perfect numbers and Mersenne primes.
Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces. Neither the year nor place of his birth have been established, nor the circumstances of his death.
The Elements
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. In addition to providing some missing proofs, Euclid's text also includes sections on number theory and three-dimensional geometry. In particular, Euclid's proof of the infinitude of prime numbers is in Book IX, Proposition 20.
The geometrical system described in Elements was long known simply as "the" geometry. Today, however, it is often referred to as Euclidean geometry to distinguish it from other so-called non-Euclidean geometries which were discovered in the 19th century. These new geometries grew out of more than two millennia of investigation into Euclid's fifth postulate, one of the most-studied axioms in all of mathematics. Most of these investigations involved attempts to prove the relatively complex and presumably non-intuitive fifth postulate using the other four (a feat which, if successful, would have shown the postulate to be in fact a theorem).
Other works
In addition to the Elements, four works of Euclid have survived to the present day.
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 third century (AD) work by Heron of Alexandria, except Euclid's work characteristically lacks any numerical calculations.
Phaenomena concerns the application of spherical geometry to problems of astronomy.
Optics, the earliest surviving Greek treatise on perspective, contains propositions on the apparent sizes and shapes of objects viewed from different distances and angles.
All of these works follow the basic logical structure of the Elements, containing definitions and proved propositions.
There are four works credibly attributed to Euclid which have been lost.
Conics was a work on conic sections that was later extended by Apollonius of Perga into his famous work on the subject.
Porisms might have been an outgrowth of Euclid's work with conic sections, but the exact meaning of the title is controversial.
Pseudaria, or Book of Fallacies, was an elementary text about errors in reasoning.
Surface Loci concerned either loci (sets of points) on surfaces or loci which were themselves surfaces; under the latter interpretation, it has been hypothesized that the work might have dealt with quadric surfaces.
2006-07-14 10:09:12
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answer #9
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answered by Monica 3
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