Free Essay

Appolonius of Perga

In: English and Literature

Submitted By jobabels
Words 336
Pages 2
Reflection Paper: Apollonius of Perga
Background:
Apollonius of Perga was known as 'The Great Geometer'. Little is known of his life but his works have had a very great influence on the development of mathematics, in particular his famous book Conics introduced terms which are familiar to us today such as parabola, ellipse and hyperbola.
‘The Great Geometer’ was born in Perga, Pamphylia which today is known as Murtina, and is now in Antalya, Turkey. Perga was a centre of culture at that time and it was the place of worship of Artemis, a nature goddess. When he was a young man, Apollonius went to Alexandria where he studied under the followers of Euclid and later he taught there.
Reflection:
In his writings on the conic sections, Apollonius deliberately alluded those who have worked on the realm of his studies through restating his view on their ideas. These have encompassed most of his early books which were elementary elaborations on Geometry. He then evaluated them in his own perspective and explored the uncharted possibilities which the early pioneers have overlooked.
In his experience, one quote came to me, the one which I have pondered on earlier this year. In Apollonius’ feat he wasn’t set off to search the ambiguity of the field unarmed. He had with him the knowledge that comes from the known world as established by the avid foregoers of knowledge. He had stepped on the shoulders of giants to see the looming picture of what lies ahead. And it has done him good. Not only was he able to establish a reputable name for himself but he was also able to unearth a newfound approach on the field of geometry.
His life has instilled into me a yearning to probe the indistinct course of knowledge through improving upon the light streaming from the mind of others. No one should see such as a clichéd innovation. Knowledge is consists of an interwoven link which shall stretch further through the days of the earth.…...

Similar Documents

Free Essay

Analytic

...books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. The numerical output, however, might also be a vector or a shape. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor–Dedekind axiom. ------------------------------------------------- History The Greek mathematician Menaechmus solved problems and proved theorems by using a method that had a strong resemblance to the use of coordinates and it has sometimes been maintained that he had introduced analytic geometry.[1] Apollonius of Perga, in On Determinate Section, dealt with problems in a manner that may be called an analytic geometry of one dimension; with the question of finding points on a line that were in a ratio to the others.[2] Apollonius in the Conics further developed a method that is so similar to analytic geometry that his work is sometimes thought to have anticipated the work of Descartes — by some 1800 years. His application of reference lines, a diameter and a tangent is essentially no different from our modern use of a coordinate frame, where the distances measured along the diameter from the point of tangency are the abscissas, and the segments parallel to the tangent and intercepted between the axis and the curve are the ordinates. He further......

Words: 5082 - Pages: 21

Free Essay

Why Four Gospels? Book Critique

...ministry, such as Peter and (2) It could maybe result in another eruption from the circumcision party, which was still active and was to remain so until the destruction of the temple in 70. Therefore, Luke’s Gospel could not be published until this peril had been defused. 3. The Roman Phase (A.D. 62-67) The Gospel according to Mathew had been in circulation for some twenty years throughout the Christian world both inside and beyond the Roman Empire; and Paul was due to arrive in Rome as a prisoner of Caesar in 61 or 62 (Acts 28:30). Luke accompanied Paul, bringing him a document that he had compiled (an adaptation of the “Gospel of Mathew”. Paul’s former disciple Mark, however, who had left him at earlier in his first missionary journey at Perga and later gone with Barnabas to Ciprus, had since become Peter’s devoted assistant (1 Pet. 5:12-13). Paul was well aware of the importance attached by the secular Greek and Roman world to the testimony of actual eyewitness. As far as Luke was concerned, he too had to rely entirely on the tradition ha had received from the apostles and from the gospel of Mathew, to which his added his own personal researches into the events of the life of Jesus, gleaned from material supplied to him by many surviving witness whom he had succeeded in interrogating (cf. Luke 1:1-4), but in order for Luke’s work to be recognized as a true account and one worthy to be read in the Christian assembly, Paul still needed to have it endorsed by an apostolic......

Words: 3283 - Pages: 14

Free Essay

Catechism Bible Quiz

...Caesar B. Herod C. Felix D. Festus 938. After James' death, which disciple was arrested? A. John B. Thomas C. Peter D. Bartholomew 939. Who led Peter from the prison? A. An angel B. John C. Saul D. Barnabas 940. To whose house did Peter go? A. Philip's B. Peters C. John's D. Mary's 941. Whose mother was she? A. Peters B. Luke's C. Mark's D. Silas' 942. Who forgot to open the door and let Peter in? A. Mary B. Mark C. Rhoda D. Barnabas 943. Which ruler was killed because he didn't give glory to God? A. Caesar B. Felix C. Festus D. Herod 944. Who was the deputy of Cyprus? A. Simon Magus B. Sergius Paulus C. Elymas D. Ananias 945: What was Saul's other name? A. Silas B. Paul C. Barnabas D. Mark 946. Who left Paul and Barnabas at Perga? A. Silas B. John Mark C. Titus D. Timothy 947. After a man was healed, what did the people call liarriabas? A. Jupiter B. Mercury C. Apollo D. Pluto 948. After a man was healed, what did the people call Paul? A. Mercury B. Neptune C. Jupiter D. Apollo 949. Who was stoned at Lystra? A. Barnabas B. Mark C. Silas D. Paul 950. Whom did Paul and Barnabas argue over? A. Silas B. Timothy C. John Mark D. Titus 951. Who went with Barnabas? A. John Mark B. Paul C. Silas D. Peter 952. Who went with Paul? A. John Mark B. Barnabas C. Silas D. Peter 953. Whom did Paul and Silas take with them at Lystra? A. Peter B. Titus C. Luke D. Timothy 954. The Holy Spirit prevented Paul from preaching where? A. Asia B. Rome C. Jerusalem D.......

Words: 20961 - Pages: 84

Premium Essay

Acts of the Apostles

...days. God sends a man named Ananias (didn’t he die?) to heal Saul and praise the name of the Lord. Saul becomes a believer, gets baptized, and adopts and name Paul. Meanwhile, while Paul is getting his mission, Peter gets arrested after Herod kills John’s brother. With Peter destined for the same path, he is taken to prison where he is rescued then again by an angel of the Lord so he can continue his good work. Herod then gets struck by an angel, gets eaten by worms, and dies. Barnabas, a leader of the early Christian church, and Paul split. Paul then goes on his evangelical trip. At this point there is an established home base for Christians in Antioch, and Paul reaches places such as Lystra (where he raises a woman from the dead), Perga, and Attalia. He spreads all along Asian Minor and Mediterranean, deep into the land of the Gentiles. He converts all people into the path of the Way, with Roman dignitaries adopting the faith. This is the first step the leaders make to actively make Christianity an all-inclusive faith. In Paul’s journeys he continues to perform signs and wonders in the name of Jesus, and in one case when magicians and exorcists attempted to do same, the evil spirit said “Jesus I know, Paul I know, who are you?” then proceeded to attacking them. When news of this reached the people, all literature dealing with exorcisms got burned. Paul traveled to Greece where he and Silas were thought of as Zeus and Hermes in human form. Paul rejects that notion and......

Words: 1271 - Pages: 6

Premium Essay

Apostile Paul

...leadership skills. Acts 13:4 says that the Holy Spirit led them where they were to go, therefore they had no plan before they left Antioch. Barnabas started out as the leader of the three men, but in Paphos that changed. When they arrived there, the Roman proconsul, Sergius Paulus, sent for the missionaries because he wanted to hear more about God. The governor had a sorcerer named Bar- Jesus who was not impressed that the missionaries were coming. Bar- Jesus tired to make a fool of Paul but he rebuked him and through the power of God, Paul made him blind. When the governor saw this, he realized how powerful God was and he was converted. After this event, Paul became the unofficial leader of the group. The next place the group went was Perga, where Mark, the youngest of the group left them to go back home to Jerusalem. The Bible is not clear on why Mark left, but many think because he was young that he got homesick. Others think there was a dispute between Paul and Mark. Paul and Barnabas continues on their journey, but they soon met opposition. Acts 13:51 says “Jewish leaders.. stirred up persecution against Paul and Barnabas, and expelled them from their region.” Even though they were persecuted, they continued to be joyful and spread the good news. After two years, they ended their journey in Antioch. A few months after they returned, Paul feels led to go an another journey. This journey started out in an argument. Barnabas wanted to take Mark with them again, but......

Words: 1997 - Pages: 8

Free Essay

Saint Paul

...deliver financial support from the Antioch community.[52] According to Acts, Antioch had become an alternative center for Christians following the dispersion of the believers after the death of Stephen. It was in Antioch that the followers of Jesus were first called "Christians".[Acts 11:26] First missionary journey[edit] The author of the Acts arranges Paul's travels into three separate journeys. The first journey,[Acts 13-14] led initially by Barnabas,[53] takes Paul from Antioch to Cyprus then southern Asia Minor (Anatolia), and back to Antioch. In Cyprus, Paul rebukes and blinds Elymas the magician[Acts 13:8-12] who was criticizing their teachings. From this point on, Paul is described as the leader of the group.[54] They sail to Perga in Pamphylia. John Mark leaves them and returns to Jerusalem. Paul and Barnabas go on to Pisidian Antioch. On Sabbath they go to the synagogue. The leaders invite them to speak. Paul reviews Israelite history from life in Egypt to King David. He introduces Jesus as a descendant of David brought to Israel by God. He said that his team came to town to bring the message of salvation. He recounts the story of Jesus' death and resurrection. He quotes from theSeptuagint[55] to assert that Jesus was the promised Christos who brought them forgiveness for their sins. Both the Jews and the 'God-fearing' Gentiles invited them to talk more next Sabbath. At that time almost the whole city gathered. This upset some influential Jews who spoke against......

Words: 4306 - Pages: 18

Premium Essay

Tets

...creative, feasible idea. Second, its practical application. Third, its diffusion through society. The process is completed, the loop closed, when the diffusion of technology embodying the new idea, in turn, helps generate new creative ideas. Today there is evidence that the time between each of the steps in this cycle has been shortened. Thus it is not merely true, as frequently noted, that 90 percent of all the scientists who ever lived are now alive, and that new scientific discoveries are being made every day. These new ideas are put to work much more quickly than ever before. The time between original concept and practical use has been radically reduced. This is a striking difference between ourselves and our ancestors. Appollonius of Perga discovered conic sections, but it was 2000 years before they were applied to engineering problems. It was literally centuries between the time Paracelsus discovered that ether could be used as an anaesthetic and the time it began to be used for that purpose. Even in more recent times the same pattern of delay was present. In 1836 a machine was invented that mowed, threshed, tied straw into sheaves and poured grain into sacks. This machine was itself based on technology at least twenty years old at the time. Yet it was not until a century later, in the 1930's, that such a combine was actually marketed. The first English patent for a typewriter was issued in 1714. But a century and a half elapsed before typewriters became......

Words: 159732 - Pages: 639

Free Essay

Astronomy in Ancient Greece, the Beginning

...spheres, whose circular motions combined to carry the planets around the earth. This basic cosmological model prevailed, in various forms, until the 16th century AD. In the 3rd century BC Aristarchus of Samos was the first to suggest a heliocentric system, although only fragmentary descriptions of his idea survive. Eratosthenes, using the angles of shadows created at widely separated regions, estimated the circumference of the Earth with great accuracy. Greek geometrical astronomy developed away from the model of concentric spheres to employ more complex models in which an eccentric circle would carry around a smaller circle, called an epicycle which in turn carried around a planet. The first such model is attributed to Apollonius of Perga and further developments in it were carried out in the 2nd century BC by Hipparchus of Nicea. Hipparchus made a number of other contributions, including the first measurement of precession and the compilation of the first star catalog in which he proposed our modern system of apparent magnitudes. The Antikythera mechanism, an ancient Greek astronomical observational device for calculating the movements of the Sun and the Moon, possibly the planets, dates from about 150–100 BC, and was the first ancestor of an astronomical computer. It was discovered in an ancient shipwreck off the Greek island of Antikythera, between Kythera and Crete. The device became famous for its use of a differential gear, previously believed to have been......

Words: 524 - Pages: 3

Premium Essay

Marketing

...B.C., accompanied by an audit function performed by a high and independent public official. The coinage of money having a uniform value, therefore, suitable for use as a medium of exchange, first took place in Europe in the seventh century B.C. Greek civilization, based on the secularization of an economy previously controlled by the priests, possessed a sophisticated system of public administration with accounting and auditing functions, of which details have survived. Banking and other commercial activities were conducted in ancient Greece, and accounting played an important role in them. Management accounting was used in business, as we know from the Zenon papyri. These rolls represent the records of the Egyptian estates of Appolonius, finance minister to the Greek ruler Ptolemy Philadelphus II, which were managed by one Zenon. It is clear 24 Accounting Theory from them that techniques of accounting control, which we associate with the modern corporate form of business enterprise, were known and understood over two thousand years ago. No accounting records have survived the fall of the Roman civilization, which extended from about 700 B.C. to 400 A.D. This has been attributed to the fact that the Romans kept their accounts on wax tablets, which turned out to be a most perishable material. No doubt the Goths and Visigoths did their part by destroying all remaining physical records. Tantalizing glimpses of Roman accounting occur in the legal codes......

Words: 237072 - Pages: 949

Free Essay

Maths

...Term Paper Mathematics NAME: BIPIN SHARMA ROLL NO: B59 SECTION: C1903 Conics Conic sections are the curves which result from the intersection of a plane with a cone. These curves were studied and revered by the ancient Greeks, and were written about extensively by both Euclid and Appolonius. They remain important today, partly for their many and diverse applications. Although to most people the word “cone” conjures up an image of a solid figure with a round base and a pointed top, to a mathematician a cone is a surface, one which is obtained in a very precise way. Imagine a vertical line, and a second line intersecting it at some angle f (phi). We will call the vertical line the axis, and the second line the generator. The angle f between them is called the vertex angle. Now imagine grasping the axis between thumb and forefinger on either side of its point of intersection with the generator, and twirling it. The generator will sweep out a surface, as shown in the diagram. It is this surface which we call a cone. Notice that a cone has an upper half and a lower half (called the nappes), and that these are joined at a single point, called the vertex. Notice also that the nappes extend indefinitely far both upwards and downwards. A cone is thus completely determined by its vertex angle. Now, in intersecting a flat plane with a cone, we have three choices, depending on the angle the plane makes to the vertical axis of the cone. First, we may...

Words: 2437 - Pages: 10

Free Essay

Mathematics

...sec. 6 î.e.n. este cunoscută asemănarea triunghiurilor de către Thales; Sec. 5 î.e.n. pitagorienii introduc noţiunile de număr prim, număr compus, numere relativ prime, numere prime perfecte; Sec. 4 î.e.n. Aristotel (384-322 î.e.n) filozof grec a introdus noţiunile de perimetru, teoremă, silogism. Sec. 3 î.e.n. Matematicianul grec Euclid(330-275 î.e.n ) cel care a întemeiat celebra şcoală din Alexandria (în 323 î.e.n) a introdus noţiunile de semidreaptă, tangentă la o curbă, puterea unui punct faţă de un cerc sau sferă, sau denumirile de paralelogram, poliedru, prismă, tetraedru. A enunţat teorema catetei şi a înălţimii pentru un triunghi dreptunghic şi a demonstrat concurenţa mediatoarelor unui triunghi; Apolonius din Perga(262-200 î.e.n), unul din cei mai mari geometri ai antichităţii introduce pentru prima dată denumirile pentru conice, de elipsă, hiperbolă, parabolă şi noţiunile de focare, normale şi defineşte omotetia şi inversiunea şi dă o aproximare exactă a lui π cu patru zecimale. este dată aria triunghiului în funcţie de laturi sau în funcţie de raza cercului înscris şi semiperimetru; Eratostene din Cyrene(275-195 î.e.n) introduce metoda de determinare a tuturor numerelor prime mai mici decât un număr dat, metodă cunoscută sub numele de „Ciurul lui Eratostene” 108 în prima carte din „Elementele” lui Euclid este cunoscută teorema împărţirii cu rest şi „algoritmul lui Euclid” pentru aflarea c.m.m.d.c. a două numere întregi 85-168...

Words: 11208 - Pages: 45