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A Brief Biography of Pythagoras
Introduction Over the course of time, mankind has always questioned the world around him. While most people did not think much of the unknown
things around them, there were certain men who decided to try to find the answers to everything that did not make sense. These men were known as
philosophers, or people who devoted their lives to studying everything around them. One famous philosopher was a mathematician named Pythagoras.
This philosopher was mainly known for his equation for triangles, also known as the Pythagorean Theorem, although he was known for other
mathematical and religious contributions as well.
1. Birth & Family InformationAround 569 BC, on the Greek island of Samos, a boy named Pythagoras was born. His father, Mnesarchus, was a
merchant from Tyre. During a time of great famine, Mnesarchus brought corn to Samos, and as a gift of gratitude, he was granted citizenship. His
mother, Pythais, was a native of the island of Samos. As he grew, the people of Samos believed he was a son of the Greek god Apollo, due to his
behavior and wisdom.
2. EducationYears later, a tyrant came into rule over Samos, and it was believed that this tyrant would stop some of Pythagoras's studies. To keep
this from happening, Pythagoras left Samos in 535 BC and journeyed to Egypt, where he studied and specialized in Mathematics and Geometry.
However, in 525 BC, Egypt was invaded by the Persian king Cambyses II, and Pythagoras was taken prisoner and sent to Babylon. Five years
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Pythagoras Research Paper
Pythagoras was a Greek Philosopher and Mathematician born approximately around the time of 570 b.c. in Samos, Greece, He was the founder of the
Pythagorean Brotherhood, a group of followers that adhered to a set of guidelines laid out by the Philosopher himself.. In his lifetime one of his most
notable contributions to the field of math was publicizing the mathematical theorem now known as the Pythagorean Theorem, the well–known
geometric theorem that the sum of the squares on the legs of a right triangle are equivalent to the square on the hypotenuse (the side opposite the right
angle)–or, in familiar algebraic notation, A2+B2= C2. Throughout the ages there have been many myths, legends, and rumors aboutpythagoras
circulating about, due to the fact that little is known about his him or his brotherhood. Pythagoras was recognized as being a spiritual leader, of which
many myths were told, and who adhered largely to the idea that dietary means are quintessential to a person's spiritual growth
The Pythagorean Brotherhood was an ancient order that was philosophical and somewhat religious in nature. It was believed to have been founded in
525 BCE. on Croton in southern Italy, Pythagoras' home following his migration from a tyrannical Grecian empire. The character of the Pythagorean
Brotherhood was controversial, and the...show more content...
One of the myths some believe about him was that his brotherhood was a cult that worshipped numbers. He taught his followers that the world was
controlled by mathematical harmonies that made up every part of reality. More than that, though, these numbers were sacred–almost like gods.
Pythagoras strongly encouraged a vegetarian diet amongst his followers, even more interesting and mysterious is his discouraging the consumption of
beans, but as to why is unknown. Pythagoras, believed that the human diet is connected to Spiritual
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Pythagoras Research Paper
Music has always been a part of human culture, but it has not always been such a precise or recorded subject. Before Pythagoras, there had never been
a system of pitches. He created a system of tuning the basic pitches to create the ordered scale that would dominate the musical practices of the early
church in western society. The earliest Western musical notation arose in the hands of the Church. It mainly was used for choral music, plainchant or
Gregorian chant, with the notes indicated over the text. However, pitches at this time were still not specified, and the only way of translating the notes
was by indicating whether or not the given note was higher or lower than the previous one. Over time, as music evolved, musical notation followed
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Pythagoras Research Paper
Pythagoras was an Ionian Greek philosopher, mathematician, and the founder of pythagoreanism, he is also often referred to as the first pure
mathematician. The Pythagoreans advance the mathematics and showed that is needed in our everyday life. Pythagoras was well educated, and he
played the lyre throughout his lifetime, and also knew poetry. He was interested in mathematics, philosophy, astronomy and music, and was actually
greatly captivated by Pherecydes (philosophy), Thales (mathematics and astronomy) and Anaximander (philosophy, geometry).Pythagoras stayed in
Crotona, a Greek colony in southern Italy, where he found a school where most of his followers lived. He was the master of society and all his
followers were known as mathematikoi...show more content...
Pythagoras contributed to our understanding of triangles, angles, areas, proportion, polygons, and polyhedra. Pythagoras also related music to
mathematics so that's why he is also credited with the discovery that the intervals between the harmonious musical notes always have whole number
ratios. For instance, playing half a length of a guitar string gives the same note as the open string, but an octave higher; a third of a length gives a
different, but harmonious note; etc. He had long played the seven string lyre, and learned how harmonious the vibrating strings sounded when the
lengths of the strings were proportional to whole numbers, such as 3:2, 2:1, 4:3. But Pythagoras intelligence not only came from him but with the
help of his followers, so yeah it wasn't all truly all his work but he was for sure a good mathematician. Furthermore, in conclusion I feel like
Pythagoras was an amazing mathematician for sure and his followers as well because though they did not get the credit for it they also were a great
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Pythagoras is truly a man unlike any other throughout history. Perhaps his greatest achievements are within the realm of mathematics; with his greatest
known theory being the Pythagorean Theorem. His theory is so well known that even today it peaks the interests of many mathematicians, with more
than 400 proofs being spawned off of his original theorem. Though his theorem is common knowledge in this modern age, his life still remains a
mystery to most, similar to most pre–Socratic philosophers. What little we do know is often shrouded in rumors and conflicting reports, but despite
this, it is clearly evident that his contributions to mathematics were substantial. Born in approximately 569 BC in Samos Greece, Pythagoras grew up
with his...show more content...
Pythagoras was the leader of this society and his followers were called mathematikoi, and included both men and woman alike. There was also an
outer circle of followers who didn't interact directly with Pythagoras, yet they also didn't live by rules as strict as the mathematikoi. The society that he
created, while beneficial at the time, has over the years tainted his mathematical findings to a point where we must question whether or not he actually
discovered the theorems that many people believed he did. This was due to the fact that his society shared ideas and intellectual discoveries among the
group members, and individual credit for each theory was not given out at the time. Because of this fact, it is difficult to determine whether the theories
attributed to Pythagoras were actually his, or rather an effort from the group that he created.
While the students of Pythagoras would eventually write down the theories, teachings, and discoveries of the group, there were certain findings that the
Pythagoreans themselves always gave Pythagoras all the glory for. Such ideas included the sum of the angles of a triangle, the Pythagorean Theorem
(which had been understood by Babylonians for 1000 years, but was ultimately proven by Pythagoras), and the constructing of figures of a given area
and geometric value. Pythagoras is also credited for the five regular solids (tetrahedron, cube, octahedron, icosahedron,
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What Is Pythagoras And How Do They Work?
Dear, 7th Grader Who is Pythagoras and why should you care? Pythagoras was a Greek Philosopher. He really liked math. He liked math so much
that he treated it like it was his religion. He was good at math and he eventually got a group of followers. His followers were called Pythagoreans.
They credited him with all their discoveries. Pythagoras and the Pythagoreans became very powerful, so powerful that the government got scared and
banned them from meeting. They still met, except only in secret. Pythagoras and his followers discovered the Pythagorean theorem. The Pythagorean
theorem is a formula that helps when people want to find the length of a side of a right triangle when they know the lengths of 2 of the sides known.
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Paper On Pythagoras
Biographical Research Paper: Pythagoras Pythagoras was born in 570 BCE. at Samos, Ionia, a city located in Greece . His mother being Pythais and
his father is Mnesarchus. Not much was known about him because of the lack of written information on him. Pythagoras received a good education
during his childhood, such as reciting homer, learning poetry, and playing musical instruments. Scholars come to believe that he got his astronomy
from Anaximander and his mathematical/geometry knowledge from Miletos. Overall his mentor was Thales, he was the one to encourage Pythagoras
to continue his studies and travel to Egypt. He developed a strong belief in numbers/mathematics, astronomy, and philosophy. When Pythagoras went to
Egypt he met Porphyry
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How Did Pythagoras Contribute To Modern Algebra
Pythagoras was one of the greatest mathematicians of all–time, developing some key points to modern algebra, and his life story starts in Greece. In
569 BCE, Pythagoras was born on the island of Samos: an island of Greece, closer to Persia than Greece itself. Pythagoras spent most of his days in his
home–town, but from time to time he traveled with his father, a merchant who roamed many lands. Growing up, he was enticed by Homer's poetry,
until great philosophers became of greater interest. A man by the name of Thales created a strong impression on Pythagoras, exposing him to the world
of mathematics and astronomy. Hearing so much about this fellow, in 535 BCE he journeyed across the Mediterranean Sea, and south to Egypt. When
he arrived there,...show more content...
When he was given freedom, he formed a school in Samos, called "The Semicircle," but soon left to travel to Italy. He traveled to southern Italy, to
the town of Croton, where he founded a religion based school. He also developed a small group of his top followers called the Mathematikoi. In this
school, Pythagoras made great discoveries. Some achievements of Pythagoras include, classifying numbers into even and odd, classifying perfect
numbers, and classifying triangle numbers. His biggest discovery is most definitely the Pythagorean Theorem. This property's equation states that
a^2+ b^2 = c^2, with the variables a, and b acting as the two legs of a right triangle, and c acting as the hypotenuse. The Pythagorean Theorem was the
start of basic trigonometry, and geometry. When you hear the phrase Pythagorean Theorem, most people revert to saying that Pythagoras invented it.
Well... no. Basically, Pythagoras heard the idea proposed in Babylon, so he stole it for himself and refined it a bit. Even so, the little bit of refining he
did was something that the Persians probably couldn't have done. Pythagoras was proud of his achievement, but then one of his own students turned on
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Pythagoras Research Paper
learning about mathematics. That is because this man, Pythagoras of Samos, is the creator of the Pythagorean Theorem. It is of course what he is
most likely widely known for as it is huge in Geometry. This paper will give you all you need to know about the man who revolutionized
mathematics...Pythagoras of Samos.
Pythagoras of Samos was born back in 570 BC (Before Christ) on the island of Samos, Greece. Little did his parents, Mnesarchus and Pythias know
that he would eventually be seen as the first pure mathematician. Young Pythagoras was not the only child in his family, or only boy for that
matter, it is believed that he did have 2 or 3 brothers. Not much is known of his personal life at home along with his family matters. Many people
just have theories based on how he lived away from mathematics. For example, some believe he was married and had a child that would eventually
be a teacher, and others believe he never married anyone and the lady he was believed to be married to was just his student. Aside from his personal
life at home, much is known about his life in education. (1)...show more content...
He knew poetry very well and recited Homer. The things that had the most influence on him thought were mathematics, philosophy, and astronomy;
although he did enjoy learning about music. If there were people you had to credit for putting the most influence on young Pythagoras, it would
definitely be Pherekydes, Thales, and Anaximander, all were involved in mathematics in some form. His interest in philosophy and mathematics would
lead to his great accomplishments as a mathematician.
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Pythagoras Essay
Pythagoras
My name is Pythagoras of Samos. I believe I should win the fabulous two–week cruise on the incomparable Argo because I dedicated my life to
educating and caring for the future generations. I risked my life to share my knowledge with anyone who wanted to learn. I was born on the island
of Samos, but lived most of my life in Crotona, Italy. When I was a young man, I traveled to many different places to observe the different lifestyles
and cultures. Some of the countries I visited were India, Egypt, and Persia (Bulfinch). After viewing many different aspects of life I developed my
philosophies and beliefs. My most important philosophy is that almost everything in life can be associated in some way with numbers ....show more
content...
I am most famous for discovering the Pythagorean Theorem, which solves the length of the hypotenuse of a right triangle. Use the equation aВІ + bВІ =
cВІ, where "a" and "b" are the two sides forming the right angle to solve "c" which is the hypotenuse (Bruce E. Meserve 46). If I could meet a
Greek god or goddess I would undoubtedly choose Apollo. Apollo has many great characteristics and I think we could be good friends if we talked
with each other. One reason why I want to meet him is because I am interested in seeing what he looks like. In books they say he is the most
beautiful god represented by the color gold. He also has a golden chariot with golden horses which I want to ride. Another reason is that he is the
god of things that I'm interested in like music, mathematics, and medicine (Bernard Evslin 37). He is also a very thoughtful and kindhearted god.
The main reason I want to meet him is that he owns an oracle that can tell the future and even though I have clairvoyant powers at this moment, I
want to ask him if he will let me borrow his oracle just in case if I lose my powers (Ellen Switzer 26). I asked the Oracle of Mother Earth to tell me
how modern Greece was dealing with its current political problems. She said that Greece's prime minister was trying to resolve the Kosovo problem
by talking with both political forces. The prime minister felt that fighting and war was not the acceptable solution . He wants the
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Around Two thousand five hundred years ago, a Greek mathematician, Pythagoras, invented the Pythagorean Theorem. The Theorem was related to the
length of each side of a right–angled triangle. In a right–angled triangle, the square on the hypotenuse, the side opposite to the right angle, equals to the
sum of the squares on the other two sides. (148, Poskitt) To know more about this famous theorem, we can look at the other forms of thePythagorean
Theorem, such as it can also be written as c^2–a^2=b^2 which is for reverse operations like finding side b with the data of a and c. Meanwhile, the
proofs of the theorem can make us understand more about the invention of the theorem and how Pythagoras figured it out. And with the invention of this
...show more content...
To solve this equation, place 3^2 to the right side, which makes it negative. The equation then become this: b^2=5^2–3^2. After subtracting the squares
of 5 and 3, you get b^2=16 . Then if you root 16 (в€
љ16), you get 4, therefore b=4. And a new form of the theorem appeared: b^2=c^2–a^2. If you do
some rearrangements, a^2=c^2–a^2 also works the same. Generally, the Pythagorean Theorem works with different form of algebraic equations by
rearranging a^2+b^2=c^2, to solve different cases.
Pythagoras made proofs to prove that is theorem is always correct and goes to all right–angled triangles. Some proofs were very old and had been used
for a long time and is very famous. As time passes by mathematicians from around the world figured out new proofs that were getting easier. After all
there were over three hundred proofs around the world. To start with, this proof was one of the proof created by Pythagoras and looks like this:
Firstly, each side of the biggest square (blue + yellow) equals to a+b. Therefore, the area of this biggest square is гЂ–(a+b)гЂ—^2. (Area of Square =
гЂ–"Length" гЂ—^2) Secondly, the area of the tilted yellow square equals to c^2, since the length of each side is c. Thirdly, the area of one small blue
triangle is 1/2 ab (Area of Triangle = "LengthГ—Height" /2), so the area of four blue triangles is 4(1/2 ab) simplified to 2ab. Therefore the area of the
four blue triangles and the yellow tilted square
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Pythagoras & Protagoras
Thesis Statement Protagoras denies a perfect form for all things, while Pythagoras clearly presents the better case with harmonia. Pythagoras, known
as "the father of numbers" through his Pythagorean Theorem is regarded as the first to seek for the form of all things . From Protagoras's
perspective, named as one of the "Sophists" by Plato, there would probably be no exact form for anything. Without an understanding of a true source
from which all form flows with, we eliminate all possibility of discovering the greater truth form carries with it. Pythagoras on the other hand deeply
searches for a reason for the cosmos in every function of life, and that, carries a significant purpose for form. Mathematical formulas and...show more
content...
As you can tell, there's clearly more concrete evidence represented through Pythagoras' harmony on the form of all things. Through his findings in
harmonia can we only begin to understand and unfold a true function for the form of all things, because in a bigger sense all things are inevitably
related somehow to one another through proportional relationships. Unlike what Protagoras theorizes, we need to have in place a set of values and
morals in which everyone follows, other wise we could all together forget about having order or structure for things done in a society. Essentially, we
need set boundaries for the establishment of peace to prevent violence and war. A relativist would likely say that a group like Al
–Qaeda is in the right
to proceed with their missions concerning terrorism, when in reality we all know it's significantly wrong and immoral. If Protagoras is going to
present a case where no absolute principles in morality or peace exist, then we might as well give up on trying to establish world peace, because
when lack of harmony in the structure and form of things ceases to exist, chaos results. This is true of reality today, and good philosophers like
Pythagoras make judgments according to reality. Bibliography Baird, F. E. (2003). Ancient Philosophy 4th Edition. New Jersey: Pearson Education,
Inc. James Fieser, P. (2007, Sept. 20). The Internet Encyclopedia of Philosophy. Retrieved 2007, from
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How Did Pythagoras Contribute To Geometry
Pythagoras was a Greek mathematician who was born around 569 BC in Samos, Ionia, which is in Greece and died around 475 BC. Pythagoras is
extremely important in the field of mathematics and made many contributions to geometry. Not much is known about the early life of Pythagoras.
However, it is known that his father, Mnesarchus, was a merchant and thatPythagoras traveled frequently with his father ("Pythagoras of Samos," n.d.).
Thales and Anaximander were philosophers who are believed to have influenced Pythagoras and his interest in mathematics ("Pythagoras of Samos,"
n.d.). In fact, Anaximander was interested in geometry. He lectured on Miletus where Pythagoras attended his lectures ("Pythagoras of Samos," n.d.).
Pythagoras is most
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Greek Philosophy Research Paper
For the Greeks philosophy wasn't restricted to the abstract it was also their natural science. In this way their philosophers were also their scientist.
Questions such as what is the nature of reality and how do we know what is real are two of the fundamental questions they sought to answer.
Pythagoras and Plato were two of the natural philosophers who sought to explain these universal principles. Pythagoras felt that all things could be
explained and represented by mathematical formulae. Plato, Socrate's most important disciple, believed that the world was divided into two realms, the
visible and the intelligible. Part of the world, the visible, we could grasp with the five senses, but the intelligible we could only grasp with our minds.
...show more content...
He only played lib service to the Greek pantheon and believed in a one unknown Divinity (Cheney 96). The doctrine he taught to his disciples was the
oneness of all things. He believed that there was one spirit that pervaded the entire universe that bounded us all, including the animals. "The origin of
all, the being of all, the kinship of all, is in the harmonious flow. To be perfectly in the rhythm is to be divinely attuned. Health is perfect bodily
rhythm. Education is the opening of the being to the rhythm" (Cheney 96). The universe had its own rhythmic order. This rhythmic order along with
numerical beats, symmetry, measure, harmonious proportion was the link to the one Unity. Their method of knowing what was real was the study of
mathematics since there is a correspondence between the physical and the mathematical worlds. For Pythagoras the physical and mathematical
worlds were same worlds. Pythagoras and his students purified the mind through scientific study, and spent most of their time developing
mathematical theories (Kathlyn 31). As far as the beauty of Helen of Troy is concerned, Pythagoras would compare her features' to the golden ratio,
1 to1.61814. For example the width of her mouth would have to be exactly 1.61814 the width of the nose for her to be considered beautiful. Helen
could only be beautiful if her features met the golden ratio (Maddox). He would also describe her beauty in terms of
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How Did Pythagorean Impact The World
So what this was about was how Pythagorean impacted the world around him. Whether it was about how he revolutionised math or how he made a
whole group that followed him and his beliefs. So this man thought that knowledge was being able to figure out math and do it and to follow their
rules that made up to fall in line with what they believe in. People took this knowledge and advanced it further even to today, this idea that Pythagoras
made himself and figured out. So what this was about was how Pythagorean revolutionised math and how he came up with new equations such as a
squared + b squared = C squared or
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Pythagoras: The Invention Of Dionysus
Pythagoras was a bright young man, traveling to places like Egypt to learn more about the world. As he got older he came up with many ideas, such as
the Pythagorean Theorem and the tetractys and even the Pythagoras cup.
The Pythagoras cup was a drinking glass that Pythagoras invented to impair greedy drinkers from drinking too much at a time. You could fill the cup
up to a certain point, but the second the drink in that cup went over that point? It all spilled out the bottom of the cup.
This, of course, angered the god of wine, Dionysus. Dionysus was once just a demi–god, who fought bravely for his father, Zeus. This was not what
the gods made him one of them for though. It was for his invention. An invention none other than wine was what...show more content...
I promise you, if you follow the stairs to the top, you will learn many secrets." Dionysus persuaded. Pythagoras, ever curious, nodded and started up the
tall steps, eyes turned towards the sky.
At the top of the stairs, his head only inches below the inky darkness that would suck him in if he made one wrong move, Pythagoras sat, staring at the
stars, sorting through various theories he had created when he saw the balls of light so close.
Dionysus flashed into existence only a few stairs down from the other man on the steps.
"Well, you fell for my plan, didn't you?" The god smirked at the mortal.
"What do you mean, o mighty Dionysus?" Pythagoras looked at the god, their faces level, and saw the inky purple fire in his eyes. "What have I done
to offend you so?"
"Your cup, it has been bad for me. If not enough wine is being drunk, who knows what Zeus will do. He's not the most level headed god there is."
Dionysus got ready to curse the man, and Pythagoras' eyes widened.
"Wait!" Pythagoras jumped up, for getting about the inky dark above that would suck him in, and covered his face with his arms. No sooner than he
did so, he was sucked into the stars, turning into a constellation, to muse over his theories for all
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Pythagoras Research Paper
Pythagoras was a known as many things, a Greek philosopher, mathematician, a man of science, and the Pythagorean theorem. Pythagoras proved the
Pythagorean theorem, but did not discover it, Babylonians and Indians discovered it before Pythagoras. It took five centuries after his death before
the Pythagoras Theorem associated his name, this was because Plato's followers said it was a myth two centuries after the death of Pythagoras
making people not believe it was a possible theory. It was first published in the writings of Cicero and Plutarch (two well–respected writers of their
time). Pythagoras was learning poetry, to play the lyre, and recite Homer all when he was a child. Pythagoras has had three philosophers who
influenced him when he
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Essay on The Genius that Was Pythagoras
Pythagoras is truly a man unlike any other throughout history. Per– haps his greatest achievements are within the realm of mathematics; with his
greatest known theory being the Pythagorean Theorem. His theory is so well..known that even today it peaks the interests of many mathematicians,
with more than 400 proofs being spawned oof his original theorem. Though his theorem is common knowledge in this modern age, his life still remains
a mystery to most, similar to most pre–Socratic philosophers. What little we do know is often shrouded in rumors and con icting reports. Despite this,
it is clearly evident that his contributions to mathematics were substantial.
1
From Charlene Douglass' article, we learn that Pythagoras was born in...show more content...
There was also an outer circle of followers who didnt interact directly with Pythagoras, yet they also didnt live by rules as strict as the mathematikoi.
[2] The society that he created, while benecial at the time, has over the years tainted his mathematical ndings to a point where we must question
whether or not he actually discovered the theorems that many people believed he did. This was due to the fact that his society shared ideas and
intellectual discoveries among the group members, and individual credit for each theory was not given out at the time. Because of this fact, it is dicult
to determine whether the theories attributed to Pythagoras were actually his, or rather an eort from the group that he created.
While the students of Pythagoras would eventually write down the theo– ries, teachings, and discoveries of the group, there were certain ndings that the
Pythagoreans themselves always gave Pythagoras all the glory for. As
Douglass lists in her work, such ideas included the sum of the angles of a triangle, the Pythagorean Theorem (which had been understood by Baby–
lonians for 1000 years, but was ultimately proven by Pythagoras), and the
3
constructing of gures of a given area and geometric value. Pythagoras is also credited for the ve regular solids (tetrahedron, cube, octahedron, icosa–
hedron, dodecahedron) although he could only construct the rst two, as well as teaching that the
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Pythogoras of Samos Essay examples
Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we
know little about his achievements. There is nothing that is truly accurate pertaining to Pythagoras's writings. Today Pythagoras is certainly a
mysterious figure.
Little is known of Pythagoras's childhood. Pythagoras's father was Mnesarchus, and his mother was Pythais. Mnesarchus was a merchant who came
from Tyre. Pythais was a native of Samos. As a child Pythagoras spent his early years in Samos, but traveled with his father. There are accounts, that
during their travels, Mnesarchus returned to Tyre with Pythagoras, and had him taught there by the Chaldaeans.
"Certainly growing up he was...show more content...
Pythagoras made a journey to Crete shortly after his return to Samos to study the system of laws there. After a short stay in Crete, Pythagoras found
himself back in Samos. There he discovered a school called the semicircle. This was the site of his own philosophical teaching, spending most of the
night and daytime there and doing research into the uses of mathematics. He tried to use his unique method of teaching, which was similar to the
lessons he had learned in Egypt, but Samians were not very keen on this. Pythagoras saw that the Samians were not giving him the respect and credit
he deserved, so he moved on
Pythagoras left and founded a philosophical/religious school in Croton on the southern tip of Italy. His school practiced secrecy and communalism
making it hard to tell the difference between the work of Pythagoras and work of his followers. Although it did made outstanding contributions to
mathematics. Pythagoras gained many followers there, and became the head of a society with an inner circle of followers known as mathematikoi. The
mathematikoi lived permanently with the Society, had no personal possessions and were vegetarians. "They weren't acting as a mathematics research
group does in a modern university. There were no 'open– problems' for them to solve, and they were not in any sense interested in trying to create or
solve mathematical problems. Rather Pythagoras was interested in teaching the principles of
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A Brief Biography Of Pythagoras

  • 1. A Brief Biography of Pythagoras Introduction Over the course of time, mankind has always questioned the world around him. While most people did not think much of the unknown things around them, there were certain men who decided to try to find the answers to everything that did not make sense. These men were known as philosophers, or people who devoted their lives to studying everything around them. One famous philosopher was a mathematician named Pythagoras. This philosopher was mainly known for his equation for triangles, also known as the Pythagorean Theorem, although he was known for other mathematical and religious contributions as well. 1. Birth & Family InformationAround 569 BC, on the Greek island of Samos, a boy named Pythagoras was born. His father, Mnesarchus, was a merchant from Tyre. During a time of great famine, Mnesarchus brought corn to Samos, and as a gift of gratitude, he was granted citizenship. His mother, Pythais, was a native of the island of Samos. As he grew, the people of Samos believed he was a son of the Greek god Apollo, due to his behavior and wisdom. 2. EducationYears later, a tyrant came into rule over Samos, and it was believed that this tyrant would stop some of Pythagoras's studies. To keep this from happening, Pythagoras left Samos in 535 BC and journeyed to Egypt, where he studied and specialized in Mathematics and Geometry. However, in 525 BC, Egypt was invaded by the Persian king Cambyses II, and Pythagoras was taken prisoner and sent to Babylon. Five years Get more content on HelpWriting.net
  • 2. Pythagoras Research Paper Pythagoras was a Greek Philosopher and Mathematician born approximately around the time of 570 b.c. in Samos, Greece, He was the founder of the Pythagorean Brotherhood, a group of followers that adhered to a set of guidelines laid out by the Philosopher himself.. In his lifetime one of his most notable contributions to the field of math was publicizing the mathematical theorem now known as the Pythagorean Theorem, the well–known geometric theorem that the sum of the squares on the legs of a right triangle are equivalent to the square on the hypotenuse (the side opposite the right angle)–or, in familiar algebraic notation, A2+B2= C2. Throughout the ages there have been many myths, legends, and rumors aboutpythagoras circulating about, due to the fact that little is known about his him or his brotherhood. Pythagoras was recognized as being a spiritual leader, of which many myths were told, and who adhered largely to the idea that dietary means are quintessential to a person's spiritual growth The Pythagorean Brotherhood was an ancient order that was philosophical and somewhat religious in nature. It was believed to have been founded in 525 BCE. on Croton in southern Italy, Pythagoras' home following his migration from a tyrannical Grecian empire. The character of the Pythagorean Brotherhood was controversial, and the...show more content... One of the myths some believe about him was that his brotherhood was a cult that worshipped numbers. He taught his followers that the world was controlled by mathematical harmonies that made up every part of reality. More than that, though, these numbers were sacred–almost like gods. Pythagoras strongly encouraged a vegetarian diet amongst his followers, even more interesting and mysterious is his discouraging the consumption of beans, but as to why is unknown. Pythagoras, believed that the human diet is connected to Spiritual Get more content on HelpWriting.net
  • 3. Pythagoras Research Paper Music has always been a part of human culture, but it has not always been such a precise or recorded subject. Before Pythagoras, there had never been a system of pitches. He created a system of tuning the basic pitches to create the ordered scale that would dominate the musical practices of the early church in western society. The earliest Western musical notation arose in the hands of the Church. It mainly was used for choral music, plainchant or Gregorian chant, with the notes indicated over the text. However, pitches at this time were still not specified, and the only way of translating the notes was by indicating whether or not the given note was higher or lower than the previous one. Over time, as music evolved, musical notation followed Get more content on HelpWriting.net
  • 4. Pythagoras Research Paper Pythagoras was an Ionian Greek philosopher, mathematician, and the founder of pythagoreanism, he is also often referred to as the first pure mathematician. The Pythagoreans advance the mathematics and showed that is needed in our everyday life. Pythagoras was well educated, and he played the lyre throughout his lifetime, and also knew poetry. He was interested in mathematics, philosophy, astronomy and music, and was actually greatly captivated by Pherecydes (philosophy), Thales (mathematics and astronomy) and Anaximander (philosophy, geometry).Pythagoras stayed in Crotona, a Greek colony in southern Italy, where he found a school where most of his followers lived. He was the master of society and all his followers were known as mathematikoi...show more content... Pythagoras contributed to our understanding of triangles, angles, areas, proportion, polygons, and polyhedra. Pythagoras also related music to mathematics so that's why he is also credited with the discovery that the intervals between the harmonious musical notes always have whole number ratios. For instance, playing half a length of a guitar string gives the same note as the open string, but an octave higher; a third of a length gives a different, but harmonious note; etc. He had long played the seven string lyre, and learned how harmonious the vibrating strings sounded when the lengths of the strings were proportional to whole numbers, such as 3:2, 2:1, 4:3. But Pythagoras intelligence not only came from him but with the help of his followers, so yeah it wasn't all truly all his work but he was for sure a good mathematician. Furthermore, in conclusion I feel like Pythagoras was an amazing mathematician for sure and his followers as well because though they did not get the credit for it they also were a great Get more content on HelpWriting.net
  • 5. Pythagoras is truly a man unlike any other throughout history. Perhaps his greatest achievements are within the realm of mathematics; with his greatest known theory being the Pythagorean Theorem. His theory is so well known that even today it peaks the interests of many mathematicians, with more than 400 proofs being spawned off of his original theorem. Though his theorem is common knowledge in this modern age, his life still remains a mystery to most, similar to most pre–Socratic philosophers. What little we do know is often shrouded in rumors and conflicting reports, but despite this, it is clearly evident that his contributions to mathematics were substantial. Born in approximately 569 BC in Samos Greece, Pythagoras grew up with his...show more content... Pythagoras was the leader of this society and his followers were called mathematikoi, and included both men and woman alike. There was also an outer circle of followers who didn't interact directly with Pythagoras, yet they also didn't live by rules as strict as the mathematikoi. The society that he created, while beneficial at the time, has over the years tainted his mathematical findings to a point where we must question whether or not he actually discovered the theorems that many people believed he did. This was due to the fact that his society shared ideas and intellectual discoveries among the group members, and individual credit for each theory was not given out at the time. Because of this fact, it is difficult to determine whether the theories attributed to Pythagoras were actually his, or rather an effort from the group that he created. While the students of Pythagoras would eventually write down the theories, teachings, and discoveries of the group, there were certain findings that the Pythagoreans themselves always gave Pythagoras all the glory for. Such ideas included the sum of the angles of a triangle, the Pythagorean Theorem (which had been understood by Babylonians for 1000 years, but was ultimately proven by Pythagoras), and the constructing of figures of a given area and geometric value. Pythagoras is also credited for the five regular solids (tetrahedron, cube, octahedron, icosahedron, Get more content on HelpWriting.net
  • 6. What Is Pythagoras And How Do They Work? Dear, 7th Grader Who is Pythagoras and why should you care? Pythagoras was a Greek Philosopher. He really liked math. He liked math so much that he treated it like it was his religion. He was good at math and he eventually got a group of followers. His followers were called Pythagoreans. They credited him with all their discoveries. Pythagoras and the Pythagoreans became very powerful, so powerful that the government got scared and banned them from meeting. They still met, except only in secret. Pythagoras and his followers discovered the Pythagorean theorem. The Pythagorean theorem is a formula that helps when people want to find the length of a side of a right triangle when they know the lengths of 2 of the sides known. Get more content on HelpWriting.net
  • 7. Paper On Pythagoras Biographical Research Paper: Pythagoras Pythagoras was born in 570 BCE. at Samos, Ionia, a city located in Greece . His mother being Pythais and his father is Mnesarchus. Not much was known about him because of the lack of written information on him. Pythagoras received a good education during his childhood, such as reciting homer, learning poetry, and playing musical instruments. Scholars come to believe that he got his astronomy from Anaximander and his mathematical/geometry knowledge from Miletos. Overall his mentor was Thales, he was the one to encourage Pythagoras to continue his studies and travel to Egypt. He developed a strong belief in numbers/mathematics, astronomy, and philosophy. When Pythagoras went to Egypt he met Porphyry Get more content on HelpWriting.net
  • 8. How Did Pythagoras Contribute To Modern Algebra Pythagoras was one of the greatest mathematicians of all–time, developing some key points to modern algebra, and his life story starts in Greece. In 569 BCE, Pythagoras was born on the island of Samos: an island of Greece, closer to Persia than Greece itself. Pythagoras spent most of his days in his home–town, but from time to time he traveled with his father, a merchant who roamed many lands. Growing up, he was enticed by Homer's poetry, until great philosophers became of greater interest. A man by the name of Thales created a strong impression on Pythagoras, exposing him to the world of mathematics and astronomy. Hearing so much about this fellow, in 535 BCE he journeyed across the Mediterranean Sea, and south to Egypt. When he arrived there,...show more content... When he was given freedom, he formed a school in Samos, called "The Semicircle," but soon left to travel to Italy. He traveled to southern Italy, to the town of Croton, where he founded a religion based school. He also developed a small group of his top followers called the Mathematikoi. In this school, Pythagoras made great discoveries. Some achievements of Pythagoras include, classifying numbers into even and odd, classifying perfect numbers, and classifying triangle numbers. His biggest discovery is most definitely the Pythagorean Theorem. This property's equation states that a^2+ b^2 = c^2, with the variables a, and b acting as the two legs of a right triangle, and c acting as the hypotenuse. The Pythagorean Theorem was the start of basic trigonometry, and geometry. When you hear the phrase Pythagorean Theorem, most people revert to saying that Pythagoras invented it. Well... no. Basically, Pythagoras heard the idea proposed in Babylon, so he stole it for himself and refined it a bit. Even so, the little bit of refining he did was something that the Persians probably couldn't have done. Pythagoras was proud of his achievement, but then one of his own students turned on Get more content on HelpWriting.net
  • 9. Pythagoras Research Paper learning about mathematics. That is because this man, Pythagoras of Samos, is the creator of the Pythagorean Theorem. It is of course what he is most likely widely known for as it is huge in Geometry. This paper will give you all you need to know about the man who revolutionized mathematics...Pythagoras of Samos. Pythagoras of Samos was born back in 570 BC (Before Christ) on the island of Samos, Greece. Little did his parents, Mnesarchus and Pythias know that he would eventually be seen as the first pure mathematician. Young Pythagoras was not the only child in his family, or only boy for that matter, it is believed that he did have 2 or 3 brothers. Not much is known of his personal life at home along with his family matters. Many people just have theories based on how he lived away from mathematics. For example, some believe he was married and had a child that would eventually be a teacher, and others believe he never married anyone and the lady he was believed to be married to was just his student. Aside from his personal life at home, much is known about his life in education. (1)...show more content... He knew poetry very well and recited Homer. The things that had the most influence on him thought were mathematics, philosophy, and astronomy; although he did enjoy learning about music. If there were people you had to credit for putting the most influence on young Pythagoras, it would definitely be Pherekydes, Thales, and Anaximander, all were involved in mathematics in some form. His interest in philosophy and mathematics would lead to his great accomplishments as a mathematician. Get more content on HelpWriting.net
  • 10. Pythagoras Essay Pythagoras My name is Pythagoras of Samos. I believe I should win the fabulous two–week cruise on the incomparable Argo because I dedicated my life to educating and caring for the future generations. I risked my life to share my knowledge with anyone who wanted to learn. I was born on the island of Samos, but lived most of my life in Crotona, Italy. When I was a young man, I traveled to many different places to observe the different lifestyles and cultures. Some of the countries I visited were India, Egypt, and Persia (Bulfinch). After viewing many different aspects of life I developed my philosophies and beliefs. My most important philosophy is that almost everything in life can be associated in some way with numbers ....show more content... I am most famous for discovering the Pythagorean Theorem, which solves the length of the hypotenuse of a right triangle. Use the equation aВІ + bВІ = cВІ, where "a" and "b" are the two sides forming the right angle to solve "c" which is the hypotenuse (Bruce E. Meserve 46). If I could meet a Greek god or goddess I would undoubtedly choose Apollo. Apollo has many great characteristics and I think we could be good friends if we talked with each other. One reason why I want to meet him is because I am interested in seeing what he looks like. In books they say he is the most beautiful god represented by the color gold. He also has a golden chariot with golden horses which I want to ride. Another reason is that he is the god of things that I'm interested in like music, mathematics, and medicine (Bernard Evslin 37). He is also a very thoughtful and kindhearted god. The main reason I want to meet him is that he owns an oracle that can tell the future and even though I have clairvoyant powers at this moment, I want to ask him if he will let me borrow his oracle just in case if I lose my powers (Ellen Switzer 26). I asked the Oracle of Mother Earth to tell me how modern Greece was dealing with its current political problems. She said that Greece's prime minister was trying to resolve the Kosovo problem by talking with both political forces. The prime minister felt that fighting and war was not the acceptable solution . He wants the Get more content on HelpWriting.net
  • 11. Around Two thousand five hundred years ago, a Greek mathematician, Pythagoras, invented the Pythagorean Theorem. The Theorem was related to the length of each side of a right–angled triangle. In a right–angled triangle, the square on the hypotenuse, the side opposite to the right angle, equals to the sum of the squares on the other two sides. (148, Poskitt) To know more about this famous theorem, we can look at the other forms of thePythagorean Theorem, such as it can also be written as c^2–a^2=b^2 which is for reverse operations like finding side b with the data of a and c. Meanwhile, the proofs of the theorem can make us understand more about the invention of the theorem and how Pythagoras figured it out. And with the invention of this ...show more content... To solve this equation, place 3^2 to the right side, which makes it negative. The equation then become this: b^2=5^2–3^2. After subtracting the squares of 5 and 3, you get b^2=16 . Then if you root 16 (в€ љ16), you get 4, therefore b=4. And a new form of the theorem appeared: b^2=c^2–a^2. If you do some rearrangements, a^2=c^2–a^2 also works the same. Generally, the Pythagorean Theorem works with different form of algebraic equations by rearranging a^2+b^2=c^2, to solve different cases. Pythagoras made proofs to prove that is theorem is always correct and goes to all right–angled triangles. Some proofs were very old and had been used for a long time and is very famous. As time passes by mathematicians from around the world figured out new proofs that were getting easier. After all there were over three hundred proofs around the world. To start with, this proof was one of the proof created by Pythagoras and looks like this: Firstly, each side of the biggest square (blue + yellow) equals to a+b. Therefore, the area of this biggest square is гЂ–(a+b)гЂ—^2. (Area of Square = гЂ–"Length" гЂ—^2) Secondly, the area of the tilted yellow square equals to c^2, since the length of each side is c. Thirdly, the area of one small blue triangle is 1/2 ab (Area of Triangle = "LengthГ—Height" /2), so the area of four blue triangles is 4(1/2 ab) simplified to 2ab. Therefore the area of the four blue triangles and the yellow tilted square Get more content on HelpWriting.net
  • 12. Pythagoras & Protagoras Thesis Statement Protagoras denies a perfect form for all things, while Pythagoras clearly presents the better case with harmonia. Pythagoras, known as "the father of numbers" through his Pythagorean Theorem is regarded as the first to seek for the form of all things . From Protagoras's perspective, named as one of the "Sophists" by Plato, there would probably be no exact form for anything. Without an understanding of a true source from which all form flows with, we eliminate all possibility of discovering the greater truth form carries with it. Pythagoras on the other hand deeply searches for a reason for the cosmos in every function of life, and that, carries a significant purpose for form. Mathematical formulas and...show more content... As you can tell, there's clearly more concrete evidence represented through Pythagoras' harmony on the form of all things. Through his findings in harmonia can we only begin to understand and unfold a true function for the form of all things, because in a bigger sense all things are inevitably related somehow to one another through proportional relationships. Unlike what Protagoras theorizes, we need to have in place a set of values and morals in which everyone follows, other wise we could all together forget about having order or structure for things done in a society. Essentially, we need set boundaries for the establishment of peace to prevent violence and war. A relativist would likely say that a group like Al –Qaeda is in the right to proceed with their missions concerning terrorism, when in reality we all know it's significantly wrong and immoral. If Protagoras is going to present a case where no absolute principles in morality or peace exist, then we might as well give up on trying to establish world peace, because when lack of harmony in the structure and form of things ceases to exist, chaos results. This is true of reality today, and good philosophers like Pythagoras make judgments according to reality. Bibliography Baird, F. E. (2003). Ancient Philosophy 4th Edition. New Jersey: Pearson Education, Inc. James Fieser, P. (2007, Sept. 20). The Internet Encyclopedia of Philosophy. Retrieved 2007, from Get more content on HelpWriting.net
  • 13. How Did Pythagoras Contribute To Geometry Pythagoras was a Greek mathematician who was born around 569 BC in Samos, Ionia, which is in Greece and died around 475 BC. Pythagoras is extremely important in the field of mathematics and made many contributions to geometry. Not much is known about the early life of Pythagoras. However, it is known that his father, Mnesarchus, was a merchant and thatPythagoras traveled frequently with his father ("Pythagoras of Samos," n.d.). Thales and Anaximander were philosophers who are believed to have influenced Pythagoras and his interest in mathematics ("Pythagoras of Samos," n.d.). In fact, Anaximander was interested in geometry. He lectured on Miletus where Pythagoras attended his lectures ("Pythagoras of Samos," n.d.). Pythagoras is most Get more content on HelpWriting.net
  • 14. Greek Philosophy Research Paper For the Greeks philosophy wasn't restricted to the abstract it was also their natural science. In this way their philosophers were also their scientist. Questions such as what is the nature of reality and how do we know what is real are two of the fundamental questions they sought to answer. Pythagoras and Plato were two of the natural philosophers who sought to explain these universal principles. Pythagoras felt that all things could be explained and represented by mathematical formulae. Plato, Socrate's most important disciple, believed that the world was divided into two realms, the visible and the intelligible. Part of the world, the visible, we could grasp with the five senses, but the intelligible we could only grasp with our minds. ...show more content... He only played lib service to the Greek pantheon and believed in a one unknown Divinity (Cheney 96). The doctrine he taught to his disciples was the oneness of all things. He believed that there was one spirit that pervaded the entire universe that bounded us all, including the animals. "The origin of all, the being of all, the kinship of all, is in the harmonious flow. To be perfectly in the rhythm is to be divinely attuned. Health is perfect bodily rhythm. Education is the opening of the being to the rhythm" (Cheney 96). The universe had its own rhythmic order. This rhythmic order along with numerical beats, symmetry, measure, harmonious proportion was the link to the one Unity. Their method of knowing what was real was the study of mathematics since there is a correspondence between the physical and the mathematical worlds. For Pythagoras the physical and mathematical worlds were same worlds. Pythagoras and his students purified the mind through scientific study, and spent most of their time developing mathematical theories (Kathlyn 31). As far as the beauty of Helen of Troy is concerned, Pythagoras would compare her features' to the golden ratio, 1 to1.61814. For example the width of her mouth would have to be exactly 1.61814 the width of the nose for her to be considered beautiful. Helen could only be beautiful if her features met the golden ratio (Maddox). He would also describe her beauty in terms of Get more content on HelpWriting.net
  • 15. How Did Pythagorean Impact The World So what this was about was how Pythagorean impacted the world around him. Whether it was about how he revolutionised math or how he made a whole group that followed him and his beliefs. So this man thought that knowledge was being able to figure out math and do it and to follow their rules that made up to fall in line with what they believe in. People took this knowledge and advanced it further even to today, this idea that Pythagoras made himself and figured out. So what this was about was how Pythagorean revolutionised math and how he came up with new equations such as a squared + b squared = C squared or Get more content on HelpWriting.net
  • 16. Pythagoras: The Invention Of Dionysus Pythagoras was a bright young man, traveling to places like Egypt to learn more about the world. As he got older he came up with many ideas, such as the Pythagorean Theorem and the tetractys and even the Pythagoras cup. The Pythagoras cup was a drinking glass that Pythagoras invented to impair greedy drinkers from drinking too much at a time. You could fill the cup up to a certain point, but the second the drink in that cup went over that point? It all spilled out the bottom of the cup. This, of course, angered the god of wine, Dionysus. Dionysus was once just a demi–god, who fought bravely for his father, Zeus. This was not what the gods made him one of them for though. It was for his invention. An invention none other than wine was what...show more content... I promise you, if you follow the stairs to the top, you will learn many secrets." Dionysus persuaded. Pythagoras, ever curious, nodded and started up the tall steps, eyes turned towards the sky. At the top of the stairs, his head only inches below the inky darkness that would suck him in if he made one wrong move, Pythagoras sat, staring at the stars, sorting through various theories he had created when he saw the balls of light so close. Dionysus flashed into existence only a few stairs down from the other man on the steps. "Well, you fell for my plan, didn't you?" The god smirked at the mortal. "What do you mean, o mighty Dionysus?" Pythagoras looked at the god, their faces level, and saw the inky purple fire in his eyes. "What have I done to offend you so?" "Your cup, it has been bad for me. If not enough wine is being drunk, who knows what Zeus will do. He's not the most level headed god there is." Dionysus got ready to curse the man, and Pythagoras' eyes widened. "Wait!" Pythagoras jumped up, for getting about the inky dark above that would suck him in, and covered his face with his arms. No sooner than he did so, he was sucked into the stars, turning into a constellation, to muse over his theories for all Get more content on HelpWriting.net
  • 17. Pythagoras Research Paper Pythagoras was a known as many things, a Greek philosopher, mathematician, a man of science, and the Pythagorean theorem. Pythagoras proved the Pythagorean theorem, but did not discover it, Babylonians and Indians discovered it before Pythagoras. It took five centuries after his death before the Pythagoras Theorem associated his name, this was because Plato's followers said it was a myth two centuries after the death of Pythagoras making people not believe it was a possible theory. It was first published in the writings of Cicero and Plutarch (two well–respected writers of their time). Pythagoras was learning poetry, to play the lyre, and recite Homer all when he was a child. Pythagoras has had three philosophers who influenced him when he Get more content on HelpWriting.net
  • 18. Essay on The Genius that Was Pythagoras Pythagoras is truly a man unlike any other throughout history. Per– haps his greatest achievements are within the realm of mathematics; with his greatest known theory being the Pythagorean Theorem. His theory is so well..known that even today it peaks the interests of many mathematicians, with more than 400 proofs being spawned oof his original theorem. Though his theorem is common knowledge in this modern age, his life still remains a mystery to most, similar to most pre–Socratic philosophers. What little we do know is often shrouded in rumors and con icting reports. Despite this, it is clearly evident that his contributions to mathematics were substantial. 1 From Charlene Douglass' article, we learn that Pythagoras was born in...show more content... There was also an outer circle of followers who didnt interact directly with Pythagoras, yet they also didnt live by rules as strict as the mathematikoi. [2] The society that he created, while benecial at the time, has over the years tainted his mathematical ndings to a point where we must question whether or not he actually discovered the theorems that many people believed he did. This was due to the fact that his society shared ideas and intellectual discoveries among the group members, and individual credit for each theory was not given out at the time. Because of this fact, it is dicult to determine whether the theories attributed to Pythagoras were actually his, or rather an eort from the group that he created. While the students of Pythagoras would eventually write down the theo– ries, teachings, and discoveries of the group, there were certain ndings that the Pythagoreans themselves always gave Pythagoras all the glory for. As Douglass lists in her work, such ideas included the sum of the angles of a triangle, the Pythagorean Theorem (which had been understood by Baby– lonians for 1000 years, but was ultimately proven by Pythagoras), and the 3 constructing of gures of a given area and geometric value. Pythagoras is also credited for the ve regular solids (tetrahedron, cube, octahedron, icosa– hedron, dodecahedron) although he could only construct the rst two, as well as teaching that the Get more content on HelpWriting.net
  • 19. Pythogoras of Samos Essay examples Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know little about his achievements. There is nothing that is truly accurate pertaining to Pythagoras's writings. Today Pythagoras is certainly a mysterious figure. Little is known of Pythagoras's childhood. Pythagoras's father was Mnesarchus, and his mother was Pythais. Mnesarchus was a merchant who came from Tyre. Pythais was a native of Samos. As a child Pythagoras spent his early years in Samos, but traveled with his father. There are accounts, that during their travels, Mnesarchus returned to Tyre with Pythagoras, and had him taught there by the Chaldaeans. "Certainly growing up he was...show more content... Pythagoras made a journey to Crete shortly after his return to Samos to study the system of laws there. After a short stay in Crete, Pythagoras found himself back in Samos. There he discovered a school called the semicircle. This was the site of his own philosophical teaching, spending most of the night and daytime there and doing research into the uses of mathematics. He tried to use his unique method of teaching, which was similar to the lessons he had learned in Egypt, but Samians were not very keen on this. Pythagoras saw that the Samians were not giving him the respect and credit he deserved, so he moved on Pythagoras left and founded a philosophical/religious school in Croton on the southern tip of Italy. His school practiced secrecy and communalism making it hard to tell the difference between the work of Pythagoras and work of his followers. Although it did made outstanding contributions to mathematics. Pythagoras gained many followers there, and became the head of a society with an inner circle of followers known as mathematikoi. The mathematikoi lived permanently with the Society, had no personal possessions and were vegetarians. "They weren't acting as a mathematics research group does in a modern university. There were no 'open– problems' for them to solve, and they were not in any sense interested in trying to create or solve mathematical problems. Rather Pythagoras was interested in teaching the principles of Get more content on HelpWriting.net