Wait a second!
More handpicked essays just for you.
More handpicked essays just for you.
Euclid information for essay
Essay to development of geometry euclid's contribution
Don’t take our word for it - see why 10 million students trust us with their essay needs.
Euclid of ‘Alexandria’ was born around 330 B.C, in Alexandria. Alexandria was once, the largest city in the Western World and was also central to the great, flourishing, Papyrus industry. Certain Arabian authors assume that Euclid was born to a wealthy family to ‘Naucrates’. Of Euclid’s life nothing is known except what the Greek philosopher Proclus (c. ad 410–485) reports in his “summary” of famous Greek mathematicians. According to him, Euclid taught at Alexandria in the time of Ptolemy I Soter, who reigned over Egypt from 323 to 285 bc. Medieval translators and editors often confused him with the philosopher Eukleides of Megara, a contemporary of Plato about a century before, and therefore called him Megarensis. Proclus supported his date for Euclid by writing “Ptolemy once asked Euclid if there was not a shorter road to geometry than through the Elements, and Euclid replied that there was no royal road to geometry.” It was in this city where Euclid developed, imparted, and shared his knowledge on mathematics and geometry with the rest of the world.
Although little is known about Euclid's early and personal life, he was known as the forerunner of geometrical knowledge and went on to contribute greatly in the field of mathematics., Euclid was known to have taught the subject of mathematics in Ancient Egypt during the reign of Ptolemy I. He was well-known, having written the most permanent mathematical works of all time, known as the 'Elements' that comprised of the 13 gigantic volumes filled with geometrical theories and knowledge. Euclid’s Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathema...
... middle of paper ...
...e perished around 260 B.C. The legacy he left behind after his death was far more profound than the impression he created when he was alive. His books and treatises were sold and used by personalities all over the world up until the 19th century. His legacy carried on for that 200 centuries after his death and inspired personalities such as Abraham Lincoln along the way. It is said that Lincoln would religiously carry the ‘Elements’ with him wherever he would go, and would often quote the genius of Euclid’s works in his speeches. Even after Euclid’s death, Mathematicians continued to write theorems and his works under his name. In all true sense, at a time when knowledge was inaccessible to a majority of the world’s population, Euclid logically and scientifically developed Mathematical formats of antiquity that are known to the world as “Euclidian Geometry” today.
Euclid propositions can be called theorems in common language. In the Book I Euclid main considerations was on geometry. He began with a long list of definitions which followed by the small number of basic statements to take the essential properties of points, lines, angles etc. then he obtained the remaining geometry from these basic statements with proofs. (Berlinghoff, 2015, p.158).
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Hippocrates taught in Athens and worked on squaring the circle and also worked on duplicating the cube. He grew far in these areas and although his work is not lost, it must have contained much of what Euclid later included in Books One and Two of the Elements.
In Sophocles’ work, Oedipus the King, Oedipus definitely fits Aristotle’s meaning of a tragic hero which is a man of honorable importance. He is not a usual man, but a man with outstanding superiority and immensity about himself. A man of his own ruins goes for a greater cause or principle. Oedipus conveys many mistakes. In the play Oedipus the King, things really had taken a turn from good to bad. Using Aristotle’s meaning defines will be proven that Oedipus is a 1main example of a tragic hero Nobleness, Tragic flaw, and Hardship are all characteristics that Aristotle described as to what a tragic hero really define as. These are also four features Oedipus proves his well- being of a catastrophic hero.
A little info: Archimedes was a Greek Mathematician who was born in 287 BC and died in 212 BC. He was born in Syracuse, Sicily; during this time, the city was an independent Greek city-state which held a 500-year history. At the Siege of Syracuse Romans at the siege were specifically ordered not to harm Archimedes but he later was pronounced dead by being stabbed by a Roman soldier. His father (Phidias) was an astronomer and is believed to be related to the King of Syracuse. This information was found in his work “The Sand Reckoner.” Archimedes was labeled as one of the top scientists in classical antiquity. In those times, when blackboards and paper were not yet around, Archimedes constructed ashes, dust or all any available surface to help sketch his geometric figures. It’s been told that he used to get so intrigued with all of the work he did that sometimes he forgot to eat, skipped a meal or two just to finish on the project. He was considered the greatest mathematician in antiquity and possibly the greatest of all time.
One of the most well known contributors to math from Greece would be Archimedes. He
Who cared for Oedipus when he was a child? Who taught him right from wrong? Who loved him unconditionally? Oedipus’ biological parents certainly did not. Oedipus had lived his whole life without his parents just because of a prediction of Oedipus’ fate. Oedipus Rex is trying to fight the plagues in Thebes. The only way to do that is to find the killer of the last King, Laius. Oedipus realizes that he killed Laius and leaves Thebes for what he has done. Oedipus’ parents, Laius and Jocasta, are to blame for his downfall because they did not raise him, they were going to kill him, and did not care about him.
This source provided a lot of background information on Euclid and his discoveries. This source gave details about the many geometrical theories of Euclid, as well as his practical geometrical uses. This source also explained how geometry helped Greece a long time ago, and how it is used by many people everyday.
The concept of impossible constructions in mathematics draws in a unique interest by Mathematicians wanting to find answers that none have found before them. For the Greeks, some impossible constructions weren’t actually proven at the time to be impossible, but merely so far unachieved. For them, there was excitement in the idea that they might be the first one to do so, excitement that lay in discovery. There are a few impossible constructions in Greek mathematics that will be examined in this chapter. They all share the same criteria for constructability: that they are to be made using solely a compass and straightedge, and were referred to as the three “classical problems of antiquity”. The requirements of using only a compass and straightedge were believed to have originated from Plato himself. 1
Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such as Elements, which is regarded as one of the greatest mathematical/geometrical encyclopedias of all time, only being outsold by the Bible.
In one of Sophocles’s plays, Oedipus proves to be the tragic hero in Oedipus the King, a play about a powerful king whose life begins to fall apart when he learns more about his past. Oedipus learns his from the Gods that he will murder his father and marry his mother, this causes him to run away from his family in hopes of escaping this horrible prophecy. Although while doing so, he kills several men, solves a riddle for the town of thebes, and marries the queen, making himself king. Aristotle believes that a tragic hero is someone that is neither good nor bad but possesses a poor quality that will cause their downfall and while they may not be the best character, the audience feels pity for them while worrying about their own destiny.
Kyle Ehrenworth 12/16/14 Epic World Masterpieces Final Paper Intertextuality is a huge part of epic traditions. If a reader were to read Virgil’s work on the Aeneid, or Homer’s work on the Odyssey, the audience would be able to tell that the story sounds a bit familiar. Maybe the characters may not be familiar but the plot usually follows along the same path. Virgil is one of the many predecessors to a literary tradition and way of writing. Back in Virgil’s time before the birth of Christ literary professionals would pass on the technique and the tradition that’s involved in writing epics.
Euclid of Alexandria was born in about 325 BC. He is the most prominent mathematician of antiquity best known for his dissertation on mathematics. He was able to create “The Elements” which included the composition of many other famous mathematicians together. He began exploring math because he felt that he needed to compile certain things and fix certain postulates and theorems. His book included, many of Eudoxus’ theorems, he perfected many of Theaetetus's theorems also. Much of Euclid’s background is very vague and unknown. It is unreliable to say whether some things about him are true, there are two types of extra information stated that scientists do not know whether they are true or not. The first one is that given by Arabian authors who state that Euclid was the son of Naucrates and that he was born in Tyre. This is believed by historians of mathematics that this is entirely fictitious and was merely invented by the authors. The next type of information is that Euclid was born at Megara. But this is not the same Euclid that authors thought. In fact, there was a Euclid of Megara, who was a philosopher who lived approximately 100 years before Euclid of Alexandria.
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.