SlideShare a Scribd company logo
1 of 20
Download to read offline
Pythagoras Research Paper
Pythagoras was a Greek mathematician known for formulating the Pythagorean Theorem. He was
born in 570 BC on the islands of Samos and passed away 495 BC at around the age of 75 in
Metapontum. He was once a philosopher who taught that numbers were the essence of all things and
was described as the first pure mathematician. People describe him as an extremely important person
in mathematical history and yet not many people know much about him. There is little reliable
records about his life and accomplishments. He linked numbers with virtues, colors, music and other
qualities. He also believed that the human soul is immortal and he believed that after death human
soul moves into another living being. Pythagoras created and organized a group...show more
content...
He also believed that that the sun, moon, and other planets had their own movements. His beliefs led
to the Copernican theory of the universe. The principles of the Pythagorean Theorem had already
been known by the Egyptians before Pythagoras formulated it. No one today is sure how
Pythagoras himself proved the Pythagorean Theorem because he never allowed anyone to record his
teachings in writing. Most likely, like most ancient proofs of the Pythagorean Theorem, it was
geometrical in nature. The Pythagoreans knew that any triangle whose sides were in the ratio 3:4:5
was a right–angled triangle. But, they had a desire to find mathematical of all things led them to
prove the geometric theorem. Although the Egyptians were the first to discover the theorem,
Pythagoras was the first to prove it.
Pythagoras Theorem was a demonstration that the combined areas of squares with side length of a
and b. These side lengths will equal the area of a square with sides of length c, where a, b, and c
represent the lengths of the two sides and hypotenuse of a right triangle. However, the Pythagoreans
did not consider the square on the hypotenuse to be that number c multiplied by itself c^2. Instead, it
was conceptualized as a geometrical square c constructed on the side of the
Get more content on HelpWriting.net
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
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
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
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
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
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
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
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
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
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 about pythagoras 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
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 the Pythagorean 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
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
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
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
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
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
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
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
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

More Related Content

Similar to Pythagoras Essay

Similar to Pythagoras Essay (9)

Pythagoras by Group 6
Pythagoras by Group 6Pythagoras by Group 6
Pythagoras by Group 6
 
Phytagorean
PhytagoreanPhytagorean
Phytagorean
 
Phytagorean
PhytagoreanPhytagorean
Phytagorean
 
Hipaso
HipasoHipaso
Hipaso
 
PYTHAGORAS
PYTHAGORASPYTHAGORAS
PYTHAGORAS
 
Pythagoras
PythagorasPythagoras
Pythagoras
 
Pythagoras Of Samos - Maths Project.
Pythagoras Of Samos - Maths Project.Pythagoras Of Samos - Maths Project.
Pythagoras Of Samos - Maths Project.
 
Pythagoras
PythagorasPythagoras
Pythagoras
 
Scientific Method Essay
Scientific Method EssayScientific Method Essay
Scientific Method Essay
 

More from Paper Writer Service (20)

Reflective Personal Essay
Reflective Personal EssayReflective Personal Essay
Reflective Personal Essay
 
Eveline Essay
Eveline EssayEveline Essay
Eveline Essay
 
Greek Mythology Essay
Greek Mythology EssayGreek Mythology Essay
Greek Mythology Essay
 
Ccot Essays
Ccot EssaysCcot Essays
Ccot Essays
 
Journey In Life Essay
Journey In Life EssayJourney In Life Essay
Journey In Life Essay
 
Essay Cinema
Essay CinemaEssay Cinema
Essay Cinema
 
Graduate Entrance Essay
Graduate Entrance EssayGraduate Entrance Essay
Graduate Entrance Essay
 
Research Essay Proposal Sample
Research Essay Proposal SampleResearch Essay Proposal Sample
Research Essay Proposal Sample
 
The World Is Flat Essay
The World Is Flat EssayThe World Is Flat Essay
The World Is Flat Essay
 
Essay Perfume
Essay PerfumeEssay Perfume
Essay Perfume
 
Montaigne Essays Summary
Montaigne Essays SummaryMontaigne Essays Summary
Montaigne Essays Summary
 
Tips On Writing A Good Narrative Essay
Tips On Writing A Good Narrative EssayTips On Writing A Good Narrative Essay
Tips On Writing A Good Narrative Essay
 
Essay On Jealousy
Essay On JealousyEssay On Jealousy
Essay On Jealousy
 
Essay On Einstein
Essay On EinsteinEssay On Einstein
Essay On Einstein
 
Sample Admission Essays
Sample Admission EssaysSample Admission Essays
Sample Admission Essays
 
Julius Caesar Essay Questions
Julius Caesar Essay QuestionsJulius Caesar Essay Questions
Julius Caesar Essay Questions
 
Good Leadership Essay
Good Leadership EssayGood Leadership Essay
Good Leadership Essay
 
I Need Help With My Essay
I Need Help With My EssayI Need Help With My Essay
I Need Help With My Essay
 
Mandala Essay Examples
Mandala Essay ExamplesMandala Essay Examples
Mandala Essay Examples
 
Essay On Disaster Management
Essay On Disaster ManagementEssay On Disaster Management
Essay On Disaster Management
 

Recently uploaded

Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon AUnboundStockton
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdfssuser54595a
 
Concept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfConcept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfUmakantAnnand
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationnomboosow
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxOH TEIK BIN
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactdawncurless
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsanshu789521
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docxPoojaSen20
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17Celine George
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
Introduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher EducationIntroduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher Educationpboyjonauth
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application ) Sakshi Ghasle
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityGeoBlogs
 

Recently uploaded (20)

Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon A
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
 
Concept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfConcept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.Compdf
 
Interactive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communicationInteractive Powerpoint_How to Master effective communication
Interactive Powerpoint_How to Master effective communication
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptx
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impact
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha elections
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docx
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17
 
9953330565 Low Rate Call Girls In Rohini Delhi NCR
9953330565 Low Rate Call Girls In Rohini  Delhi NCR9953330565 Low Rate Call Girls In Rohini  Delhi NCR
9953330565 Low Rate Call Girls In Rohini Delhi NCR
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
Introduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher EducationIntroduction to ArtificiaI Intelligence in Higher Education
Introduction to ArtificiaI Intelligence in Higher Education
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdfTataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 

Pythagoras Essay

  • 1. Pythagoras Research Paper Pythagoras was a Greek mathematician known for formulating the Pythagorean Theorem. He was born in 570 BC on the islands of Samos and passed away 495 BC at around the age of 75 in Metapontum. He was once a philosopher who taught that numbers were the essence of all things and was described as the first pure mathematician. People describe him as an extremely important person in mathematical history and yet not many people know much about him. There is little reliable records about his life and accomplishments. He linked numbers with virtues, colors, music and other qualities. He also believed that the human soul is immortal and he believed that after death human soul moves into another living being. Pythagoras created and organized a group...show more content... He also believed that that the sun, moon, and other planets had their own movements. His beliefs led to the Copernican theory of the universe. The principles of the Pythagorean Theorem had already been known by the Egyptians before Pythagoras formulated it. No one today is sure how Pythagoras himself proved the Pythagorean Theorem because he never allowed anyone to record his teachings in writing. Most likely, like most ancient proofs of the Pythagorean Theorem, it was geometrical in nature. The Pythagoreans knew that any triangle whose sides were in the ratio 3:4:5 was a right–angled triangle. But, they had a desire to find mathematical of all things led them to prove the geometric theorem. Although the Egyptians were the first to discover the theorem, Pythagoras was the first to prove it. Pythagoras Theorem was a demonstration that the combined areas of squares with side length of a and b. These side lengths will equal the area of a square with sides of length c, where a, b, and c represent the lengths of the two sides and hypotenuse of a right triangle. However, the Pythagoreans did not consider the square on the hypotenuse to be that number c multiplied by itself c^2. Instead, it was conceptualized as a geometrical square c constructed on the side of the Get more content on HelpWriting.net
  • 2. 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
  • 3. 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
  • 4. 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
  • 5. 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
  • 6. 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
  • 7. 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
  • 8. 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
  • 9. 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
  • 10. 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
  • 11. 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 about pythagoras 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
  • 12. 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 the Pythagorean 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
  • 13. 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
  • 14. 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
  • 15. 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
  • 16. 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
  • 17. 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
  • 18. 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
  • 19. 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
  • 20. 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