The Man Who Changed Geometry: Who is Eudoxus of Cnidus?

Exodus made a great contribution to mathematics by expanding the concept of number to include irrational numbers.

Eudoxus of Cnidus was born in Cnidos in 408 BC. (Knidos is in the Datça district of Muğla city of Turkey.) Eudoxus of Knidos, like many scholars, suffered from poverty in his youth.

Eudoxus went to Athens from the city of Tarentum at a young age, became a student of Plato, and studied there under Arkitas (428-347 BC), the best and first-rate mathematician, administrator, and soldier. He is said to have walked to and from classes, although his place of stay in Athens was far away. When Eudoxus realized that he was not loved in Athens, he left this place and came to the city of Sızık on the Kapidağı Peninsula today, where he studied medicine. Apart from mathematics, he was a good lawyer and a good doctor.

Eudoxus of Cnidus (c. 408 – c. 355 BC) was an ancient Greek astronomer, mathematician, scholar, and student of Archytas and Plato. All of his original works are lost, though some fragments are preserved in Hipparchus' commentary on Aratus's poem on astronomy. Sphaerics by Theodosius of Bithynia may be based on a work by Eudoxus.

He was once found in Egypt. He made a living by giving lectures, and on his return to Athens, his teacher Plato organized a feast in his honor. When he went to Knidos to regulate the administrative laws of his fellow townsmen, the Knidians, he was well-received and greatly respected.

He is also famous for his serious astronomy work. He has made a great contribution to science. He spent most of his time giving lectures and philosophizing. According to his contemporaries, he is several centuries ahead in his scientific aspect and scientific thoughts. Like Galileo and Newton, he did not tolerate and did not believe in ideas, thoughts, and opinions that were not based on observation and experimentation.

Exodus made a great contribution to mathematics by expanding the concept of numbers to include irrational numbers.

Eudoxus found the area, volume, and surface area of some objects and proved many theorems about them. He explained the apparent movements of the planets and said that these movements were circular. He was the first scientist to discover the sundial and to show that a year has 365 days and 6 hours.

Eudoxos also showed that the areas of circles are proportional to the square of their diameters; The method he applied was somewhat like the process of placing many polygons inside a circle to find the area.

We owe the axiom we use in mathematics today, which we call the Archimedes axiom, to Eudoxus. This is his famous theory of proportional lines. Given two line segments or two numbers, the smallest always has an integer multiple that includes the largest.

It is said that Eudoxos established an observatory in Knidos and made observations there.

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Eudoxus of Cnidus: The Man Who Changed Geometry

https://greekreporter.com/2015/04/12/eudoxus-of-cnidus-the-man-who-changed-geometry/