Math, asked by skAslam1, 1 year ago

Write a long note on the history of Euclid. and his biographyplease show me euclid's biography

Answers

Answered by Arohitanwar
1
Euclid was a great Greek mathematician. Although little is known about his early and personal life, he went on to contribute greatly in the field of mathematics and came to known as the ‘Father of Geometry’, Euclid is known to have taught mathematics in Ancient Egypt during the reign of Ptolemy I. He wrote ‘Elements’, the most influential mathematical works of all time, which served as the main textbook for teaching mathematics from its publication until the late 19th or early 20th century. Elements aroused interest of the Western World and mathematicians around the globe for over 2000 years. Euclid used the ‘synthetic approach’ towards producing his theorems, definitions and axioms. Apart from being a tutor at the Alexandria library, Euclid coined and structured the different elements of mathematics, such as Porisms, geometric systems, infinite values, factorizations, and the congruence of shapes that went on to contour Euclidian Geometry. His works were heavily influenced by Pythagoras, Aristotle, Eudoxus, and Thales to name a few.
Childhood & Early Life
Very little information is available about Euclid but it is presumed that he was born around 330 B.C in Tyre. Going by the accounts of certain Arabic authors, he came from a rich background. His father was “Naucrates” while his grandfather was Zenarchus.
It is said that he was a Greek born in Tyre and lived in Damascus throughout his life. However, there is no certain evidence if he was the same person as Euclid of Alexandria is often confused with Euclid of Megara, another man who was a philosopher and lived at the time of Plato.
Since lack of biographical information is rather unusual for this period, many researchers believe that Euclid may have not existed at all and, in fact, his works may have been written by a team of mathematicians who took the name Euclid. But this hypothesis is again rejected by scholars, citing lack of solid evidence.
It is also said that he studied in Plato’s ancient school in Athens, a place that was only meant for affluent people. He got his mathematical training from the students of Plato.
Career
Euclid’s ‘Elements’ is considered as one of the most influential works in the history of mathematics, from the time of its publication until the late 19th or early 20th century. It actually served as the main textbook for teaching mathematics during this period.
In his Elements, he deduced the principles of ‘Euclidean geometry’ from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor.
In addition to his most famous work ‘Elements’, there are at least five works of Euclid that have survived to this day. They seem to follow the same logical structure as followed in Elements. They are ‘Data’, ‘On Divisions of Figures', 'Catoptrics', 'Phaenomena' and 'Optics'.
In addition to the abovementioned works, there are a few other works that are attributed to Euclid but have been lost. These works include ‘Conics’, ‘Pseudaria’, ‘Porisms’, ‘Surface Loci’ and ‘On the Heavy and the Light’.
Personal Life & Legacy
There is not much information and records relating to Euclid’s personal life but historians believe that he breathed his last around 260 B.C.
His most famous book “The Element” was eventually translated from Arabic to Latin by Campanus. The first printed addition of the same appeared in 1482 in Venice.
In 1570, John Dee translated “The Element” in English. Dee’s lectures were able to revive interest in mathematics in England.
An Italian mathematician, Girolamo Saccheri, in 1733 tried for years to outdo the works of Euclid but his attempts to refute it went futile as he could not even find a single flaw in Euclid’s theories. Eventually, he gave up and published “Euclid Cleared of Every Flaw”.
The legacy that Euclid left behind is immense. He inspired personalities such as Abraham Lincoln, who used to religiously carry “The Elements” with him everywhere and used to quote the genius in his speeches.
Euclid influenced great philosophers and mathematicians such as Newton and Descartes who propounded their philosophical works using Elucid’s format and structure. They also moved from simple principles towards complicated concepts just like Elucid.

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Answered by amrutha123421
0

Answer:

Euclid

c. 365 - 300 B.C.E.

Although Euclid is a famous mathematician, very little is known about his life. It is believed that he was a student of Plato. Euclid was born around 365 B.C. in Alexandria, Egypt and lived until about 300 B.C. Euclid's most famous work is his collection of 13 books, dealing with geometry, called The Elements. They are said to be " the most studied books apart from the Bible".

Books 1-6 deal with plane geometry,

Books 7-9 deal with number theory,

Book 10 deals with Eudoxus's theory of irrational numbers, and

Books 11-13 deal with solid geometry.

This set of books is remarkably clear and easy to understand. Theorems are stated, then they are proved.

Euclid actually made few discoveries. He did make a few, but very minute ones. His books, the Elements, are based on the works of people before him. Interesting huh??? However, most of the proofs he made on his own.

Euclidean geometry is the study of points, lines, planes, and other geometric figures. The most prolonged argument over time has been that of the parallel postulate which states: there can only be one line that contains a given point and is parallel to another line.

I have noticed that in many high schools today, very little geometry is taught, if any at all. This disturbs me because math teaches logic. Geometry is like a big puzzle. You find the pieces, and put them where they go. Geometry also teaches understanding. How do you know if something is true or right? You don't until you prove it. Not only do you need logic for geometry class, you also need to be logic to survive in the world. If it is not being taught in the schools anymore, where will people obtain it?

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