Euclid contribution in mathematics

Who was Euclid?

Euclid of Alexandria: mathematician, author of the Elements of Geometry. Utterer of apocryphal quips including the famous put-down to Ptolemy I: ‘there is no royal road to geometry’. Who was he? What did he look like?

Real biographical details are scarce: little more than the isolated fact that his students were still around in Alexandria in the mid-third century, at the time of the later geometer Apollonius. Thus we don’t know if he was an Alexandrian born or an immigrant (like Ptolemy) from somewhere else in the Greek world. We certainly don’t know what he looked like. But that hasn’t stopped people trying. The fame of his book has meant that the man and his life are a magnet for reinterpretation depending on what you think geometry is and where you think it fits into culture.

Figure 1 shows a typical picture from the Renaissance. It shows Euclid in the classic geometer’s pose, with a pair of dividers or compasses, leaning down to draw a nice big diagram for students to see. This was a long-lived tradition of how geometers were supposed to look: t

Euclid of Alexandria

Euclid of Alexandria is the most prominent mathematician of antiquity best known for his treatise on mathematics The Elements. The long lasting nature of The Elements must make Euclid the leading mathematics teacher of all time. However little is known of Euclid's life except that he taught at Alexandria in Egypt. Proclus, the last major Greek philosopher, who lived around 450 AD wrote (see [1] or [9] or many other sources):-
Not much younger than these [pupils of Plato] is Euclid, who put together the "Elements", arranging in order many of Eudoxus's theorems, perfecting many of Theaetetus's, 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 Plato's circle,

Euclid

Ancient Greek mathematician (fl. 300 BC)

For the philosopher, see Euclid of Megara. For other uses, see Euclid (disambiguation).

Euclid (; Ancient Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greekmathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics.

Very little is known of Euclid's life, and most information comes from the scholars Proclus and Pappus of Alexandria many centuries later. Medieval Islamic mathematicians invented a fanciful biography, and medieval Byzantine a

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