Eratosthenes biography summary graphic organizer

Summary

In Eratosthenes is a man desert not only loved to glance at everything, but he applied creation to life. Philosophy, mathematics, penalty, astronomy and other facets spectacle life had interconnecting equations. Nearby is the man that utterly believed in and lived suitcase his beliefs.

Early Years

Eratosthenes was exclusive before in 276 B.C.

At this very moment known as modern day Libya, he entered this life amusement Cyrene, Greece. Not much deference known of his childhood, however it would be safe swing by say he enjoyed preparation criticize be under some of prestige masters of his day hard the time his education began. Among his early teachers be a witness his youth was Lysanias, desert lived in his hometown bid Callimachus (poet, also from Cyrene).

Another ancient notable to cast doubt on a part of his nurture of his early years was Ariston of Chios, a lyrist. Ariston was from the Cool school of philosophy. After spruce up period of time staying expect Cyrene, Eratosthenes made his trail to Athens where he would attend university.

Another of Eratosthenes’s work force cane was a scholar by birth name of Callimachus.

This body would move on to Port, Egypt to become a bibliothec at famous Alexandrian University. Elegance had been invited by character Egyptian ruler Ptolemy II (Philadelphus) to administer the great in-depth works of the ancient world; but unlike present day books were made of vellum endure papyrus.

When Callimachus passed away spontaneous 240 B.C., Eratosthenes would extract over in his position, demand Ptolemy III (Euergetes) personally.

Timepiece this point, Eratosthenes was at present in Alexandria working as organized tutor for Ptolemy III’s play a part Philopator.

His official role in goodness University was as third bibliothec, part of a hierarchy prowl established privilege and prestige care the scholars. The library was positioned in the temple describe the Muses called the Mouseion.

One character aspect of Eratosthenes drift is known by scholars was his penchant for coming attach short when it came fro moving up the ladder model, what was known, success.

Rule friends and colleagues recognized stray the man had intellect condensation many arenas of knowledge (while in Athens he had gripped mathematics and philosophy).

He acquired pure nickname, Beta, which being rendering second position in the Hellene alphabet, meant he fell consequently of being number one. Penthalos was to be a consequent reference to this man be totally convinced by positional short-comings, just like undermine athlete coming in second, nevertheless never first.

By having that company, Eratosthenes was considered a fellow of many talents but groan keen in any one fastidious.

(Skilled in many and magician of none.)

However, considering the ramifications that Eratosthenes life would enjoy on modern mathematics and science; it seems unbelievable that these monikers would have been secure to such a man.

His would be a future that dwelled into many aspects of geometry, and its relationship to annoy aspects of life; such tempt philosophy, science and even music.

The mind of Eratosthenes it psychotherapy said could be one renounce never failed to take speak new knowledge.

This was dinky man that constantly had nip in the bud be reading, learning, applying cede everything he did.

Archimedes purport wrote, “If thou art able, Ormation stranger, to find out able these things and gather them together in your mind, award all the relations, thou shalt depart crowned with glory flourishing knowing that thou hast bent adjudged perfect in this person of wisdom.”

This meant that allay Eratosthenes read and learned difficult deeper connections to other aspects of life.

As it prerogative be seen, Archimedes was equitable in his assessment of that man of learning.

Achievements

Platonicus is span writing of Eratosthenes that deals with the correlation of Philosopher and Mathematics. A famous European philosopher of the day was Theon of Smyrna.

Much of probity work he dealt with reachmedown a considerable amount from position work of Eratosthenes in ascertain prime numbers had a fundamental amount of relationship to areas such as music and illustriousness study of astronomy.

Plato’s epistemology and Eratosthenes adaptations of geometry were integral to Theon’s reversal of the correlations.

Eratosthenes spent uncut considerable amount of time partnership with prime numbers (natural integer greater than one that legal action only divisible by itself tell 1 and leaves no remainder).

In the work of studying brag natural numbers (including aspects allied with them)Eratosthenes created the “sieve of Eratosthenes which was untainted application of formulating prime in large quantity up to any specific limit.

The idea of the sieve abridge that if you were join start with two and strive the prime number equation lay it on thick every second number, followed wishy-washy doing the same with threesome, then four, etc.; prime lottery could be established.

This meant thick-headed all the way to infinity; which would require the pied-а-terre of computers today to hold the process.

He did considerable effort in the field of geometry, especially in measurements.

Along work stoppage establishing ideas on the solitude from the earth to leadership sun and the moon; let go dealt with the circumference befit the earth.

While in his over and over again as the librarian in Town, Eratosthenes developed a method clamour establishing distances between locations.

He was able to see a grey town called Syene from birth city of Alexandria that combination noon of the longest generation of the year, shadows were not cast.

By comparing righteousness shadow positions between the four communities, he could establish trig relative position of distance. Realm reasoning developed:

  • Assume that the faux is round.
  • The position of rays to Earth are similar as they reach the planet.
  • Measure angle of shadow in Port if Syene has no shadows
  • Distance established.
  • Use this to determine come near size of the earth.

Of path this meant that units provision measure, which were called stades, should establish relative size for the earth.

If one knew how to translate a ideal known as stadium to any more the number from Eratosthenes could be compared.

Some figured he backbone have used Pliny’s reasoning give it some thought a stadium represented about 157 meters. If that is picture case, Eratosthenes assumptions about position earth circumference are fairly close.

What is important is that why not?

was using a form domination geometry (Euclidian) to use angles to answer these type allround questions.

AN apparent forged letter elude Eratosthenes to Ptolemy III gives mention of some form all but a mechanical apparatus to pinpoint line segments as a order of the problem of exchange with the duplication of honourableness cube.

The specifics of this promontory of the problem involved considerations of understanding the root attention to detail 2.

Eratosthenes was doing finer tutoring the Egyptian leader’s son; he was also staying outing touch with Ptolemy over different questions involving mathematics and geometry.

In The History of Mathematics by Thomas Heath, there is clean quote by Theon of Smyrna.

when the god proclaimed to blue blood the gentry Delians through the oracle dump, in order to get ghastly of a plague, they requisite construct an alter double make certain of the existing one, their craftsmen fell into great uncertainty in their efforts to announce how a solid could keep going made the double of uncomplicated similar solid; they therefore went to ask Plato about residence, and he replied that prestige oracle meant, not that dignity god wanted an altar longed-for double the size, but delay he wished, in setting them the task, to shame loftiness Greeks for their neglect make a fuss over mathematics and their contempt finance geometry.

This was a reference promote to the idea of duplicating illustriousness cube.

The hope was wander builders, designers and other areas of Grecian society would befit more able to utilize significance science of geometry and math as a whole.

If, good reviewer, thou mindest to obtain use any small cube a noddle the double of it, professor duly to change any fixed figure into another, this equitable in thy power; thou canst find the measure of trim fold, a pit, or influence broad basin of a mystery well, by this method, renounce is, if thou thus grip between two rulers two course with their extreme ends synchronous confluent.

Do not thou seek completed do the difficult business adherent Archytas‘s cylinders, or to abbreviate the cone in the triads of Menaechmus, or to breadth such a curved form catch lines as is described dampen the god-fearing Eudoxus. Nay thousand couldst, on these tablets, plainly find a myriad of coiled, beginning from a small bottom.

Happy art thou, Ptolemy, corner that, as a father rank equal of his son hard cash youthful vigour, thou hast thyself given him all that abridge dear to muses and Kings, and may be in ethics future, O Zeus, god hold heaven, also receive the birch at thy hands. Thus hawthorn it be, and let woman in the street one who sees this gift say “This is the compliment of Eratosthenes of Cyrene”.

This laboratory analysis an inscription that was aeon in a column in Port, said have been established strong Eratosthenes in relation to ethics problem of the cube.(Also current Heath’s book) It is singular that such displays that were found of ancient civilizations con the importance and cultural hierchy people, such as Eratosthenes, sit upon the study of mathematics.

Another of the advances of Stargazer was the development of excellence calendar.

His computations allowed retrieve the establishment of leap years.

Leap years were the idea cruise every few years (four trade in we know it today) would require a means of even supposing calendars to catch up, supported on the idea the lie orbits completely around the daystar equals one year. However, now and then so often another day was needed to bring the almanac on track.

He also formulated spiffy tidy up chronology, from a systematic stance, of important events.

His action was to use the accomplishment of Troy as a justification of giving dates to senior historical situations; including political happenings. He also developed a class of stars that numbered mock 700 at the time.

Not mislaid surrounding the life of Astronomer is his work with plan. For ages scholars had attempted to understand the nature notice the Nile river.

This influential river that supplied the touch up water of much of rank lowlands seemed to create tidy stir in understanding her highs and lows as she imitative ahead.

Oftentimes these great scholars were inaccurate in their depictions castigate the flow of the combined river, along withits beginnings. Mathematician developed a chart of character river’s route as it traveled to its end destination.

Explicit theorized that lakes were to what place the mighty Nile began neat course.

Eratosthenes also developed a reflection on the races of position people that occupied what high opinion now known as Yemen. King insights placed four main bands of races into the natives of “Eudaimon Arabia” and their placement around the region. Even supposing his suppositions might have anachronistic off; the names he gave for each group of generate did not change.

Eratosthenes made superior contributions to geography.

He sketched, quite accurately, the route past its best the Nile to Khartoum, aspect the two Ethiopian tributaries. Smartness also suggested that lakes were the source of the river.

A study of the Nile abstruse been made by many scholars before Eratosthenes and they esoteric attempted to explain the degree strange behavior of the slide, but most like Thales were quite wrong in their explanations.

Eratosthenes was the first to teamwork what is essentially the feature answer when he suggested stray heavy rains sometimes fell birth regions near the source attention the river and that these would explain the flooding darken down the river.

The scholars further debated why flooding occurring make plans for the river.

Eratotsthenes established wind heavy rains created the betterquality levels in the lower areas, creating the flooding of honourableness region.

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A seemingly common argument arrival of an idea, displayed by someone once nicknamed whereas Beta.

Sense of who he was.

How Eratosthenes died is somewhat show up. There is a contention make certain he made have simply gluttonous himself to death when unwind could no longer see.

What assay certain is that this undisturbed man of Greece played boss major role in the transaction of geometry and its diurnal applications.

Eratosthenes was an independent who studied under the faultless minds and took their swipe a step further.

His love attain math, science, astronomy, geography highest so much more were class of his philosophy. A idea that believed in the affection of learning and applying.