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Euclid of Alexandria; The Elements

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Essay / Research Paper Abstract

This 11 page paper looks at the work of the ancient mathematician Euclid and his work The Elements. The paper looks briefly at the life of Euclid and then at the work The Elements, including some of the contents of the work and how it may be used. The bibliography cites 7 sources.

Page Count:

11 pages (~225 words per page)

File: TS14_TEeuclid.rtf

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Unformatted sample text from the term paper:

that he was a teacher at Alexandria in Egypt and the snippets that are known are taken from secondary sources1. One of the main sources has been Proclus, one of the last major Greek philosophers (Morrow, 1970). Proclus was not a contemporary of Euclid; it is believed that Euclid wrote elements around 300 BCE2 whereas Proclus lived more than 800 years later in the fifth century CE3, however, this is a primary source of information, but it is also in line with other sources. The context of the period in which he lived gives the indication of the time when he lived. When talking of Euclid Proclus gives an overview of the mathematician stating; "Not much younger than these [pupils of Plato] is Euclid, who put together the "Elements", arranging in order many of Eudoxuss theorems, perfecting many of Theaetetuss, and also bringing to irrefutable demonstration the things which had been only loosely proved by his predecessors. This man lived in the time of the first Ptolemy; for Archimedes, who followed closely upon the first Ptolemy makes mention of Euclid, and further they say that Ptolemy once asked him if there were a shorted way to study geometry than the Elements, to which he replied that there was no royal road to geometry. He is therefore younger than Platos circle, but older than Eratosthenes and Archimedes; for these were contemporaries, as Eratosthenes somewhere says. In his aim he was a Platonist, being in sympathy with this philosophy, whence he made the end of the whole "Elements" the construction of the so-called Platonic figures." (Morrow, 1970) Proclus is using a logical approach to describe Euclid and his time as his work (Heath, 1956). There is some other information that exists regarding Euclid, but this is not thought ...

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