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Greek mathematics during the Golden Age

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Lior Messika

on 9 March 2011

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Transcript of Greek mathematics during the Golden Age

Greek Mathematics During the Golden Age Background Mathematics were a vital part of Ancient Greece's advancements regarding academic and intellectual achievements. Greek mathematics and concepts are still used to this day, and Greek mathematicians are still renowned widely in Western culture for their substancial contribution to what we know as mathematics today. Mathematics were integrated with philosophy and poetry, and were also practiced and improved by the most popular philosophists and poets of the time. Plato Born in 420 BC-
Was Socrates’s student
He wasn’t however very interested in the field of math, however he, later in his life, opened an institution in which many Greek mathematicians trained.
The institution was built in Athens, called the Academy of Athens. Theodorus of Cyrene (Plato’s teacher)
showed how the square roots of non-square integers from 3 to 17 are irrational.  
Eudoxus of Cnides – studied the ratio and proportion.
Menaechmus (Eudoxus’s student) – discovered and announced the properties of conics (curves formed when planes and cones connect).
Dinastratus (Brother of Menaechmus) –
was able to construct a square in a circle’s area Mathematicians Was Plato’s best student.
He was a great writer, and two of his books were based on mathematics in nature.
He dealt with invisible lines and mechanics.
Aristotle studied what is infinite in magnitude as well as the significance of hypotheses in mathematics.
His books were an inspiration to many writers and mathematicians in later years. Aristotle When Alexander the Great died in 323 BC, Ptolemy took over Egypt.
He made Alexandria a scientific and commercial center where the biggest library of the ancient times was built. University of Alexandria Euclid Probably one of the most notable mathematicians of Ancient times, also referred to as the "Father or Geometry" Euclid of Alexandria:
Lived during the reign of Ptolemy I
His Elements and resolutions are most influential in the history of Mathematics;
He was the main mathematician of his time, considered to be a genius
Euclid developed many ideas and theorums, such as the Pythagorean Theorem which we still learn and use to this day. Thank you for watching! Pythagorean Theorem In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). (a^2+b^2=c^2)
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