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Euclid research paper
Euclid research paper
Euclid in maths journey in his life
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Euclid was born around 365 B.C; his birthplace was in Alexandria, Egypt. Euclid died around 275 B.C., he died in Alexandria Egypt. His death was unspecified. The city of his birth place is a mystery. Medieval authors often called him Euclid of Megara. They often confused him with an earlier philosopher Eucleides of Megara, who was an associate of Socrates and Plato. When Euclid arrived at the Academy School, Plato and the first generation of his students had already died.
The Academy was the outstanding mathematical school of the time. He traveled to Alexandria and was appointed to the faculty of the Museum. Ptolemy Soter ruled Egypt from 323 to 283. Ptolemy was boyhood friend of Euclid. Then lieutenant of Alexander the Great, Alexander the Great had seized Egypt. After the conqueror’s death, Alexander became the successor of the Pharaohs and managed to make his capital. Euclid became the librarian of the museum at some point in his life. He had many students, even if their names are not recorded, they carried on tradition.
Euclid’s reputation rests on his greatest work. Euclid’s ...
In The Aeneid there are rich implemented principles such as fate, discipline, and competition which greatly influenced the Roman empire causing it’s rise from obedience to the principles as well as it’s fall from disobedience. Virgil lived during the dawn of the rising sRoman empire, and his book was a catalyst to the greatness that grew within the nation. The Aeneid focused around the principle that fate’s power and dominance overrule human life, which in turn would bring indolence or proactivity depending on the individual’s capacity. Although fate can easily be ripped down as a belief it did many great things for the Romans whether it is real or not. Unfortunately the themes of deceit and trickery also crept into the book’s contents, which
Margaret Symington was awarded the Trevor Evans Award in 2013 for her article Euclid Makes the Cut. Margaret Symington is an associate professor of mathematics at Mercer University in Macon, Georgia. Her article was one of many issues from Math Horizons vol. 19 on pages six through nine which was published in 2012. “Math Horizons is a vibrant and accessible forum for practitioners, students, educators, and enthusiasts of mathematics, dedicated to exploring the folklore, characters, and current happenings in mathematical culture.” (http://www.maa.org/press/periodicals/math-horizons) Symington tests her readers to study the connection between two unrelated professions fields: geometric topology and dermatologic surgery. The title Euclid Makes the Cut grabbed my attention and the information within in the article was very interesting as well. Even though the title and the information within the article was interesting to me as a Math Major but what about other individuals? I think regardless if you are a Mathematics major or not the subject was worth writing. Symington explains medicine in a mathematical way and it was amazing to read.
It is clear when reading the Aeneid that Virgil was familiar with the earlier works of Homer, The Iliad and The Odyssey. Virgil, more than just being aware of these earlier works, uses themes and ideas from these poems in his own. Far more than just copying scenes and ideas, Virgil expands and alters these themes to better tell his story, unique from the Greek originals he is drawing from. Virgil reveals what qualities he regards as heroic through the juxtaposition of Aeneas’ character and the negative aspects of the underworld. By looking at which qualities are esteemed and derided respectively, we can identify the qualities that Virgil would like to emphasize positively to his readers. Also, we can argue that Virgil is indeed trying to convey a particular set or morals to those readers. Beyond the underworld, it is possible to clearly identify these traits in the other sections of the poem where Virgil is borrowing and making his own alterations. Using these distinctions we can very clearly derive Virgil's morality from the poem, and see where Virgil's ideal characters veer away from the Greek ideal that came before.
The term “Oedipus complex” (or, less commonly, Oedipal complex), explains the strong emotions and ideas that the mind keeps deep within the unconscious of where a child, most notably male, is attracted to his own mother in a sexual nature. In society, incest is looked down upon because it crosses the forbidden zone, the desire for sexual relations, which deviates from the traditional parent-to-child relationship. This term was coined after the ancient Greek tragedy, Oedipus the King. The original script was first written around 429 B.C, by Sophocles. He was most famously known to be one of the three ancient Greek tragedians whose plays have survived to this day. Knowing that he is a playwright who specializes in writing about the human condition
Euripides is a keen witness to the human character and the father of the psychological theater. His plays were modern at the time compared to others because of the way he focused on the personal lives and motives of his characters, in a manner that was unfamiliar to Greek audiences. His plays have often been seen, in simple terms, bad because critics have been unable to comprehend his visions. The ideas and concepts that Euripides developed were not accepted until after his death.
The ancient Greeks were fond believers of Fate. Fate, defined according to Webster’s, is “the principle or determining cause or will by which things in general are believed to come to be as they are or events to happen as the do.” The Greeks take on Fate was slightly modified. They believed that the gods determined Fate: “…fate, to which in a mysterious way the gods themselves were subject, was an impersonal force decreeing ultimate things only, and unconcerned with day by day affairs.” It was thought that these gods worked in subtle ways; this accounts for character flaws (called harmatia in Greek). Ancient Greeks thought the gods would alter a person’s character, in order for that person to suffer (or gain from) the appropriate outcome. Such was the case in Oedipus’s story.
Through the character of Oedipus, Sophocles shows the futility and consequences of defying the divine order. Oedipus served Thebes as a great ruler, loved by his subjects; but it is his one tragic flaw, hubris, which dooms his existence, regardless of the character attributes that make him such a beloved king.
Socrates was born in Athens, Greece in 469 B.C. where he lived all of his life. His father was a wealthy sculptor named Sophroniscus and friend to the family of Aristides, the founder of the Delian League from which the empire arose. His mother was said to be a “midwife” (which implies nothing about her place in society) named Phaenarete.
It seems as if the classical works are replete with dysfunctional families. Oedipus the King is no exception. If the core of a society is found in the nuclear family, then it may be sensible to assume that the Greeks were maligned at the center. On the other hand, they may have been the pinnacle of familial honor if they rooted out their most devious and dangerous escapades in the theater rather than the commons. Whatever the interpretation, there may be value in seeking greater understanding of these people and the meanings of their theatrical themes. One way to gain insight on these matters is to consult one of the greatest critics of ancient times. Aristotle made an interesting commentary about Oedipus the King. He branded the main character of the play a tragic hero. Perhaps, there is more to Oedipus and his tragic story than meets the eye.
The play "Oedipus Rex" is a very full and lively one to say the least. Everything a reader could ask for is included in this play. There is excitement, suspense, happiness, sorrow, and much more. Truth is the main theme of the play. Oedipus cannot accept the truth as it comes to him or even where it comes from. He is blinded in his own life, trying to ignore the truth of his life. Oedipus will find out that truth is rock solid. The story is mainly about a young man named Oedipus who is trying to find out more knowledge than he can handle. The story starts off by telling us that Oedipus has seen his moira, his fate, and finds out that in the future he will end up killing his father and marrying his mother. Thinking that his mother and father were Polybos and Merope, the only parents he knew, he ran away from home and went far away so he could change his fate and not end up harming his family. Oedipus will later find out that he cannot change fate because he has no control over it, only the God's can control what happens. Oedipus is a very healthy person with a strong willed mind who will never give up until he gets what he wants. Unfortunately, in this story these will not be good trait to have.
In Ancient Greece the existence of gods and fate prevailed. In the Greek tragedy King Oedipus by the playwright Sophocles these topics are heavily involved. We receive a clear insight into their roles in the play such as they both control man's actions and that challenging their authority leads to a fall.
The Aeneid by Virgil and Inferno by Dante are both works centering around adventures. In both of these adventures, love is intertwined with suffering. Why are love and suffering connected as such? In The Aeneid, Aeneas suffered a great deal and then was fated to lead his people to Italy and Rome. Aeneas "marries" the Queen of Carthage, Dido, who eventually kills herself out of despair. In Inferno, Dante is taken on a divine mission to see the depths and horrors of Hell. While in Hell, Dante stumbles upon and is intrigued by two lovers, Paolo and Francesca, who were tragically killed by Francesca’s husband, Gianciotti.
When discussing the fate of Aeneas, a thought provoking question is posed that is commonly debated. If Aeneas is commanded by fate, does he have free will? It is important to approach this question with a solid understand of fate. There are two common sides to the debate of whether Aeneas had free will or not. One view believes Aeneas had no choice but to follow his destiny because he was commanded by fate, and prophesied to found the race that will one day build Rome. The other side states Aeneas did indeed have free will, and even though his fate was set, room is available within his fate for events to change. One can argue Aeneas makes some of his own choices, but no particular detail of his life is untouched. Destiny determines that the Trojans will found a city in Italy, but it does not stipulate how that will happen. This is where room is left for free will. After much research and considering the views of many commentators and the proof they showed, the answer can simply be found by going back to the text of The Aeneid.
The time period of Greek theater’s popularity was a very influential time in our world’s history. Without knowing what Greek theater was all about, how can someone expect to truly understand a tragic play and the history it comes with? The history behind the character of Oedipus, in the play Oedipus the King, is very complicated. His intricate past dealing with prophecies, family members, and murder is the main focus of the story. There are many characteristics that complete Aristotle’s definition of a tragic hero; these being the presence of hamartia and peripeteia, a sense of self-awareness, the audience’s pity for the character, and the hero is of noble birth.
Oedipus Rex, or Oedipus the King is Sophocles’s first play of “The Theban Cycle.” It tells the story of a king that tries to escape his fate, but by doing so he only brings about his downfall. Oedipus is a classic example of the Aristotelian definition of a tragic hero. Aristotle defines a tragic hero as a basically good and noble person who causes his own downfall due to a flaw in his character.