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Topic: Euclid


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  Euclid - Wikipedia, the free encyclopedia
Euclid also wrote works on perspective, conic sections, spherical geometry, and possibly quadric surfaces.
In particular, Euclid's proof of the infinitude of prime numbers is in Book IX, Proposition 20.
Euclid's elements, with the original Greek and an English translation on facing pages (includes PDF version for printing) (only the first nine books).
en.wikipedia.org /wiki/Euclid   (736 words)

  
 Euclid, Ohio - Wikipedia, the free encyclopedia
Euclid borders Cleveland on the west, South Euclid and Richmond Heights on the south, Willowick, Wickliffe, and Willoughby Hills on the east, and Lake Erie on the north.
Euclid Beach Park was originally part of Euclid, until the boundaries were redrawn in the early 1900's.
Euclid is situated near the junction of Interstate 90, Interstate 271 and Ohio Route 2, giving easy access by car to downtown Cleveland, Lake County, and most of the East suburbs.
en.wikipedia.org /wiki/Euclid,_Ohio   (807 words)

  
 [No title]   (Site not responding. Last check: 2007-10-22)
Euclid of Alexandria (Greek: Eukleides) (circa 365-275 BC) was a Greek mathematician who lived in the 3rd century BC in Alexandria.
The geometry of Euclid was known for ages as "the" geometry, but is nowadays referred to as Euclidean geometry.
Euclid is also a programming language developed at the University of Toronto by Holt et al, originally for the Motorola 6809 microprocessor.
wikiwhat.com /encyclopedia/e/eu/euclid_1.html   (366 words)

  
 Euclid - Crystalinks
Euclid quickly called to his slave to give the boy a coin because "he must make gain out of what he learns." Another story relates that Ptolemy asked the mathematician if there was some easier way to learn geometry than by learning all the theorems.
Euclid was unable to prove this statement and needing it for his proofs, so he assumed it as true.
Euclid's Phaenomena is a tract on sphaeric, the study of spherical geometry for the purpose of explaining planetary motions.
www.crystalinks.com /euclid.html   (1856 words)

  
 Euclid (mathematician) - MSN Encarta
Euclid (mathematician), (lived circa 300 bc), Greek mathematician, whose chief work, Elements, is a comprehensive treatise on mathematics in 13 volumes on such subjects as plane geometry, proportion in general, the properties of numbers, incommensurable magnitudes, and solid geometry.
Probably the geometrical sections of the Elements were primarily a rearrangement of the works of previous mathematicians such as those of Eudoxus, but Euclid himself is thought to have made several original discoveries in the theory of numbers (see Number Theory).
Euclid's Elements was used as a text for 2000 years, and even today a modified version of its first few books forms the basis of high school instruction in plane geometry.
encarta.msn.com /encyclopedia_761573724/Euclid_(mathematician).html   (192 words)

  
 Euclid
Euclid is one of the world's most famous mathematicians, yet very little is known of his life, except that he taught at Ptolemy’s university at Alexandria, Egypt.
Euclid's Elements are remarkable for the clarity with which the theorems and problems are selected and ordered.
Euclid is not known to have made any original discoveries, and the Elements is based on the work of the people before him, like Exodus, Thales, Hippocrates, and Pythagoras.
library.thinkquest.org /4116/History/euclid.htm   (292 words)

  
 Euclid - Hutchinson encyclopedia article about Euclid   (Site not responding. Last check: 2007-10-22)
Euclid's works, and the style in which they were presented, formed the basis for all mathematical thought and expression for the next 2,000 years.
The first six books deal with plane geometry (points, lines, triangles, squares, parallelograms, circles, and so on), and includes hypotheses such as Pythagoras' theorem, which Euclid generalized, and the theorem that only one line can be drawn through a given point parallel to another line.
In book 10 Euclid treats irrational numbers, and books 11 to 13 discuss solid geometry, ending with the five Platonic solids (the tetrahedron, octahedron, cube, icosahedron, and dodecahedron).
encyclopedia.farlex.com /Euclid   (610 words)

  
 EUCLID, The Elements
Euclid is known to almost every high school student as the author of The Elements, the long studied text on geometry and number theory.
Euclid begins with 18 definitions about magnitudes begining with a part, multiple, ratio, be in the same ratio, and many others.
Euclid concerns himself in several other propositions of Book VIII with determining the conditions for inserting mean proportional numbers between given numbers of various types.
www.math.tamu.edu /~dallen/history/euclid/euclid.html   (2784 words)

  
 Euclid   (Site not responding. Last check: 2007-10-22)
Of Euclid's life it is known only that he taught at and founded a school at Alexandria in the time of Ptolemy I Soter, who reigned from 323 to 285/283 BC.
For his subject matter Euclid doubtless drew upon all his predecessors, but it is clear that the whole design of his work was his own.
Euclid seems to have incorporated a finished treatise of Theaetetus on the regular solids into his Elements.
abyss.uoregon.edu /~js/glossary/euclid.html   (443 words)

  
 "Krista's Web Page December 1999"   (Site not responding. Last check: 2007-10-22)
Euclid was described by most historians as an encouraging, helpful teacher who was usually kind and very patient with his students.
Euclid's main contribution to geometry was his systematic organization and explanation of his collection of material.
Euclid who was once considered to be very precise and thorough, he is now considered by many mathematicians as having many errors and unsupported ideas.
www.chester.k12.sc.us /lewisvillehigh/honors/krista.htm   (402 words)

  
 10.8. Euclid (330?-275? B.C.)
Euclid is one of the most influential and best read mathematician of all time.
In his time, many of his peers attacked him for being too thorough and including self-evident proofs, such as one side of a triangle cannot be longer than the sum of the other two sides.
Today, most mathematicians attack Euclid for the exact opposite reason that he was not thorough enough.
web01.shu.edu /projects/reals/history/euclid.html   (805 words)

  
 City of Euclid, Ohio -- Municipal Court
The Euclid Municipal Court is a court of limited jurisdiction responsible for providing for the needs of Euclid residents in both its civil and criminal divisions.
The Euclid Municipal Court is a court of limited jurisdiction providing for the needs of Euclid residents in both its civil and criminal divisions.
The geographic jurisdiction of the Euclid Municipal Court is limited to cases originating within the boundaries of the City of Euclid.
www.ci.euclid.oh.us /citydepartments/court.cfm   (795 words)

  
 Euclid
Euclid, thought to be a student of Plato's disciples, organized the epic, Elements, from centuries of Greek geometry, and refined lots of it.
A: I was born in 300 B.C. in Greece.
Euclid is thought to have been so influential on that brand of geometry that is called, “Euclidean Geometry.”; Euclidean Geometry, even today, is what most kids learn in elementary and middle school.
www.3villagecsd.k12.ny.us /wmhs/Departments/Math/OBrien/euclid.html   (946 words)

  
 EUCLID   (Site not responding. Last check: 2007-10-22)
Euclid wrote the classical book 'The Elements', a collection of geometrical theorems which became a standard work for over 2000 years.
Euclid lived in Alexandria where he founded the first school of mathematics.
Euclid proved the number of primes, numbers which are divisible only by themselves and one, to be infinite.
www.hyperhistory.com /online_n2/people_n2/persons2_n2/euclid.html   (74 words)

  
 Euclid
In the first proposition, Proposition 1, Book I, Euclid shows that, using only the postulates and common notions, it is possible to construct an equilateral triangle on a given straight line.
Using the postulates and common notions, Euclid, with an ingenious construction in Proposition 2, soon verifies the important side-angle-side congruence relation (Proposition 4).
Euclid uses the method of proof by contradiction to obtain Propositions 27 and 29.
math.furman.edu /~jpoole/euclidselements/euclid.htm   (830 words)

  
 | Euclid Discoveries |
Euclid Discoveries, a developer of video compression and other enabling technologies, is pleased to announce that Dr. Amit K. Roy-Chowdhury has signed on as Chief Consulting Scientist.
Euclid Discoveries is a privately held software development firm based in Concord, MA.
Euclid is creating technology that will be able to shrink digital video without sacrificing visual quality, letting you use your PDA for high-definition video conferencing, or your iPod for storing hundreds of full-length, high-quality movies.
www.eucliddiscoveries.com   (380 words)

  
 | Euclid Discoveries |
Euclid Discoveries also plans to release further open source, including Euclid's code for integrating with various computer vision libraries such as NIH's ITK for medical imaging, and the consortium based VXL libraries.
Euclid Discoveries is a software development company dedicated to enabling the convergence of computer vision and video processing.
Euclid Discoveries is a member of both the MPEG standards committee and the MPEG Industry Forum, a not-for-profit organization to further the adoption of MPEG standards.
www.eucliddiscoveries.com /press_release.php   (2993 words)

  
 EUCLID - Eucalypts of Southern Australia
EUCLID is an interactive identification and information system for eucalypts, using Lucid software.
It was produced by the Centre for Plant Biodiversity Research from the Australian National Herbarium database of over 60,000 eucalypt specimens as well as information derived from glasshouse studies for details of comparative juvenile morphology, and from widespread field observations.
EUCLID (EUCaLyptus IDentification) allows the user to quickly and easily identify any of the 690 species and subspecies of Eucalyptus and Angophora native to southern Australia, i.e.
www.anbg.gov.au /cpbr/cd-keys/Euclid   (463 words)

  
 Integrity Logic - Software for logical data integrity
Our unique Euclid product is a complete solution for measuring and enforcing logical data integrity in one or more databases.
Define: Euclid enables you to define the logical rules underlying your databases by using a simple assertion-based language accessible to anyone familiar with data modeling.
Euclid can also easily be integrated with your applications to give them instant checks and feedback.
www.integrity-logic.com   (257 words)

  
 Introduction to the works of Euclid
During the middle ages, Euclid was often identified as Euclid of Megara, due to a confusion with the Socratic philosopher of around 400 B.C. Euclid enjoys a reputation as a fair, forthright, and kind individual.
Secondly, since Euclid bases his entire geometry on points, straight lines, and circles (and thus construction by straight-edge and compass alone), the so-called three famous problems of Greek mathematics -- squaring the circle, doubling the cube, and trisecting the angle -- are not to be found in the work.
Euclid decided not to use another popular definition of parallel lines as straight lines which are everywhere equidistant from one another.
www.obkb.com /dcljr/euclid.html   (9104 words)

  
 Malaspina Great Books - Euclid (c. 300 BCE)
Euclid was a Greek mathematician who lived in the 3rd century B.C. His most famous work is the Elements,; a book in which he deduces the properties of geometrical objects and integers from a set of axioms,; thereby anticipating the axiomatic method of modern mathematics.
Although many of the results in the Elements originated with earlier mathematicians,; one of Euclid's major accomplishments was to present them in a single logically coherent framework.
In addition to a treatment of geometry,; Euclid's book also contains the beginnings of elementary number theory,; such as the notion of divisibility, the greatest common divisor and the Euclidean algorithm to determine it, and the infinity of prime numbers.
www.malaspina.org /home.asp?topic=./search/details&lastpage=./search/results&ID=11   (433 words)

  
 Biography of Euclid
So Euclid told his slave to get the pupil a coin so he would be gaining from his studies.
Euclid wrote many books such as: Data, On Divisions of Figures, Phaenomena, Optics, the lost books Conics and Porisms, and the most famous the Elements.
During this period Euclid was respected highly as a mathematician and the Elements were considered one of the greatest matematical works of all time.
www.andrews.edu /~calkins/math/biograph/199899/bioeucli.htm   (507 words)

  
 Euclid's Elements, Euclid
Euclid belonged to the persuasion of Plato and was at home in this philosophy; and this is why he thought the goal of the Elements as a whole to be the construction of the so-called Platonic figures.
Euclid also wrote other books which no longer exist but were mentioned by later writers.
Berggren, J. Euclid's Phaenomena: a translation and study of a Hellenistic treatise in spherical astronomy.
aleph0.clarku.edu /~djoyce/java/elements/Euclid.html   (528 words)

  
 Euclid - History for Kids!
We can't even be sure he existed; Euclid could be a made-up name for a committee of mathematicians all working together.
Like Anaxagoras before him, Euclid (YOU-klid) wanted to prove that things were true by using logic and reason.
Euclid is famous because his books were so easy to understand that they were used as the main math book in all schools in Europe, West Asia, and America for two thousand years, until the 20th century.
www.historyforkids.org /learn/greeks/science/math/euclid.htm   (381 words)

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