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Euclid, Archimedes & Ptolemy: Alexandrian Hellenistic Philosophers Video

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  • 0:05 The LIbrary of…
  • 1:08 Euclid's Geometry
  • 1:40 Archimedes' Inventions…
  • 2:53 Other Famous…
  • 5:31 Ptolemy's Accomplishments
  • 7:09 Lesson Summary
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Instructor: Max Pfingsten
This lecture recounts the achievements of the many great minds that called Alexandria home. We will look at Euclid, Ptolemy, Archimedes, Aristarchus, Herophilos, Erasistratus and Eratosthenes.

The Library of Alexandria's Strengths

As we learned in our lecture on the Library of Alexandria, a great number of features combined to make Alexandria the center of scholarship of the Hellenistic world and beyond. Alexandria was part of a large empire, united by Greek language, Greek writing and Greek culture. Though the empire collapsed, its common Greek language remained, allowing scholars from all over the known world to learn from one another.

Alexandria was a particularly good place for this sort of scholarship to occur, because the banks of the Nile provided an excellent place to grow papyrus, a plant that could be made into a fantastic paper. The abundance of papyrus allowed the Ptolemaic kings of Egypt to collect all the writings available at the time and house them in the largest library in the world, the Library of Alexandria. It was at this library that the greatest minds of the age came to study and teach.

Archimedes developed the odometer to measure distances
Odometer

Alexandria was home to many great philosophers over the years. We cannot possibly cover all of them, though I do wish, at least, to touch on some of the most important.

Euclid's Geometry

The foremost of these is certainly Euclid. Euclid made some major contributions to the field of mathematics. He invented the mathematical proof, which remains the basis of modern arithmetic. He also did some serious work with prime numbers and factorization. Yet his biggest contribution was in the field of geometry. Pretty much every rule you learned in geometry class was either invented or recorded by Euclid. For this reason, he is considered the Father of Geometry.

Archimedes' Inventions and Measurements

Our next Alexandrian philosopher is Archimedes. Archimedes made a name for himself with his many inventions, including the water screw, which could draw water upward; an odometer for measuring distances; the block and tackle pulley system, which harnessed leverage to allow a single man to lift far more than he could unaided and even a heat ray, designed to sink ships from a distance. Archimedes was also the first to come up with a good estimate for pi.

Yet, Archimedes is most famous for discovering a method for measuring the volume of irregular solids. According to the story, King Hiero II had a crown made by a goldsmith, but he was not sure if the goldsmith had made his crown out of pure gold, or if he'd mixed in other metals. The density of gold was well known, but at that point in time there was no way to find the volume of an irregularly shaped thing like a crown. Archimedes was pondering this problem in his bath, when he noticed that his irregularly shaped body made the water in his tub rise in a very regular and easy to measure fashion. In his excitement he leapt from the tub, forgetting to dress before running into the street crying, 'Eureka! Eureka!' which means, 'I've found it!'

Herophilos was one of the first doctors to assess heart rates
Herophilos

Other Famous Alexandrian Scholars

Some other notable Alexandrian scholars were Herophilos. He was the first person, on record at least, to systematically dissect human cadavers and record his findings. His methods were the closest thing to science of the age, being based on experimentation and rigorous record keeping. Herophilos was one of the first doctors to measure the heart rates of his patients as part of his diagnosis.

Another great Alexandrian anatomist was Erasistratus. Erasistratus disagreed with the great minds of his time, who claimed that the heart was the center of sensation. After dissecting the heart and taking copious notes, Erasistratus determined that the heart was merely a pump and identified the brain as the center of the nervous system. Up until this point, the general opinion was that the brain was the place where the body cooled its blood.

Returning to mathematicians, we find Aristarchus. Aristarchus was the first to propose a heliocentric universe, in which the Sun occupied the center of the solar system. He came to this conclusion when he noticed that the position of the planets relative to the stars seemed to change at different seasons. He concluded that the best explanation was that his point of observation was moving. You can see what he was thinking with a simple example, what I call the Apollo 13 experiment.

Close your right eye and hold up your thumb until it covers the planet on the screen. Now, close your left eye, and open your right eye. Now you can see the planet! So, what happened? Did the planet move? No, your perspective moved.

This phenomenon is called parallax, and it works on a larger scale just as well as on a smaller one. By measuring this parallax, or change in relative position, Aristarchus posited that the universe was much larger than had been imagined. Since the planets show parallax, but the stars show no parallax at all, the stars must be incredibly far away. Aristarchus' work would inspire later astronomers to understand the true nature of the solar system and the universe.

Aristarchus of Samos was the first to suggest a heliocentric universe
Aristarchus of Samos

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