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Perga
Perga or Perge ( Hittite: ''Parha'', el, Πέργη ''Perge'', tr, Perge) was originally an ancient Lycian settlement that later became a Greek city in Pamphylia. It was the capital of the Roman province of Pamphylia Secunda, now located in Antalya Province on the southwestern Mediterranean coast of Turkey. Today its ruins lie east of Antalya. It was the birthplace of the Greek mathematician Apollonius of Perga, once of the most notable mathematicians of antiquity for his work on conic sections. A unique and prominent feature for a Roman city was the long central water channel in the centre of the main street which contained a series of cascading pools and which would have been remarkable even today in a semi-arid area where summer temperatures reach over 30 degrees Celsius. History Perge was situated on the coastal plain between the Rivers Catarrhactes (Düden Nehri) and Cestrus (Aksu), about 11 km from the mouth of the latter. The history of the city dates ba ...
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Apollonius Of Perga
Apollonius of Perga ( grc-gre, Ἀπολλώνιος ὁ Περγαῖος, Apollṓnios ho Pergaîos; la, Apollonius Pergaeus; ) was an Ancient Greek geometer and astronomer known for his work on conic sections. Beginning from the contributions of Euclid and Archimedes on the topic, he brought them to the state prior to the invention of analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. Gottfried Wilhelm Leibniz stated “He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.” Apollonius worked on numerous other topics, including astronomy. Most of this work has not survived, where exceptions are typically fragments referenced by other authors like Pappus of Alexandria. His hypothesis of eccentric orbits to explain the apparently aberrant motion of the planets, commonly believed until the Middle Ages, was superseded during the Renaissance. The Apollonius crat ...
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Perge Plan
Perga or Perge ( Hittite: ''Parha'', el, Πέργη ''Perge'', tr, Perge) was originally an ancient Lycian settlement that later became a Greek city in Pamphylia. It was the capital of the Roman province of Pamphylia Secunda, now located in Antalya Province on the southwestern Mediterranean coast of Turkey. Today its ruins lie east of Antalya. It was the birthplace of the Greek mathematician Apollonius of Perga, once of the most notable mathematicians of antiquity for his work on conic sections. A unique and prominent feature for a Roman city was the long central water channel in the centre of the main street which contained a series of cascading pools and which would have been remarkable even today in a semi-arid area where summer temperatures reach over 30 degrees Celsius. History Perge was situated on the coastal plain between the Rivers Catarrhactes (Düden Nehri) and Cestrus (Aksu), about 11 km from the mouth of the latter. The history of the city dates bac ...
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Perge 0010
Perga or Perge ( Hittite: ''Parha'', el, Πέργη ''Perge'', tr, Perge) was originally an ancient Lycian settlement that later became a Greek city in Pamphylia. It was the capital of the Roman province of Pamphylia Secunda, now located in Antalya Province on the southwestern Mediterranean coast of Turkey. Today its ruins lie east of Antalya. It was the birthplace of the Greek mathematician Apollonius of Perga, once of the most notable mathematicians of antiquity for his work on conic sections. A unique and prominent feature for a Roman city was the long central water channel in the centre of the main street which contained a series of cascading pools and which would have been remarkable even today in a semi-arid area where summer temperatures reach over 30 degrees Celsius. History Perge was situated on the coastal plain between the Rivers Catarrhactes (Düden Nehri) and Cestrus (Aksu), about 11 km from the mouth of the latter. The history of the city dates bac ...
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Perge - Estadio
Perga or Perge ( Hittite: ''Parha'', el, Πέργη ''Perge'', tr, Perge) was originally an ancient Lycian settlement that later became a Greek city in Pamphylia. It was the capital of the Roman province of Pamphylia Secunda, now located in Antalya Province on the southwestern Mediterranean coast of Turkey. Today its ruins lie east of Antalya. It was the birthplace of the Greek mathematician Apollonius of Perga, once of the most notable mathematicians of antiquity for his work on conic sections. A unique and prominent feature for a Roman city was the long central water channel in the centre of the main street which contained a series of cascading pools and which would have been remarkable even today in a semi-arid area where summer temperatures reach over 30 degrees Celsius. History Perge was situated on the coastal plain between the Rivers Catarrhactes (Düden Nehri) and Cestrus (Aksu), about 11 km from the mouth of the latter. The history of the city dates bac ...
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Perge - Ágora - 01
Perga or Perge ( Hittite: ''Parha'', el, Πέργη ''Perge'', tr, Perge) was originally an ancient Lycian settlement that later became a Greek city in Pamphylia. It was the capital of the Roman province of Pamphylia Secunda, now located in Antalya Province on the southwestern Mediterranean coast of Turkey. Today its ruins lie east of Antalya. It was the birthplace of the Greek mathematician Apollonius of Perga, once of the most notable mathematicians of antiquity for his work on conic sections. A unique and prominent feature for a Roman city was the long central water channel in the centre of the main street which contained a series of cascading pools and which would have been remarkable even today in a semi-arid area where summer temperatures reach over 30 degrees Celsius. History Perge was situated on the coastal plain between the Rivers Catarrhactes (Düden Nehri) and Cestrus (Aksu), about 11 km from the mouth of the latter. The history of the city dates bac ...
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Pamphylia Secunda
Pamphylia (; grc, Παμφυλία, ''Pamphylía'') was a region in the south of Asia Minor, between Lycia and Cilicia, extending from the Mediterranean to Mount Taurus (all in modern-day Antalya province, Turkey). It was bounded on the north by Pisidia and was therefore a country of small extent, having a coast-line of only about 120 km (75 miles) with a breadth of about 50 km (30 miles). Under the Roman administration the term Pamphylia was extended so as to include Pisidia and the whole tract up to the frontiers of Phrygia and Lycaonia, and in this wider sense it is employed by Ptolemy. Name The name ''Pamphylia'' comes from the Greek Παμφυλία, itself from grc, πάμφυλος (''pamphylos''), literally "of mingled tribes or races", a compound of πᾶν (''pan''), neuter of πᾶς (''pas'') "all" + φυλή (''phylē''), "race, tribe". Herodotus derived its etymology from a Dorian tribe, the Pamphyloi (Πάμφυλοι), who were said to have colonize ...
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Pamphylia
Pamphylia (; grc, Παμφυλία, ''Pamphylía'') was a region in the south of Asia Minor, between Lycia and Cilicia, extending from the Mediterranean to Mount Taurus (all in modern-day Antalya province, Turkey). It was bounded on the north by Pisidia and was therefore a country of small extent, having a coast-line of only about 120 km (75 miles) with a breadth of about 50 km (30 miles). Under the Roman administration the term Pamphylia was extended so as to include Pisidia and the whole tract up to the frontiers of Phrygia and Lycaonia, and in this wider sense it is employed by Ptolemy. Name The name ''Pamphylia'' comes from the Greek Παμφυλία, itself from grc, πάμφυλος (''pamphylos''), literally "of mingled tribes or races", a compound of πᾶν (''pan''), neuter of πᾶς (''pas'') "all" + φυλή (''phylē''), "race, tribe". Herodotus derived its etymology from a Dorian tribe, the Pamphyloi (Πάμφυλοι), who were said to have colonize ...
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Conic Sections
In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type. The ancient Greek mathematicians studied conic sections, culminating around 200 BC with Apollonius of Perga's systematic work on their properties. The conic sections in the Euclidean plane have various distinguishing properties, many of which can be used as alternative definitions. One such property defines a non-circular conic to be the set of those points whose distances to some particular point, called a ''focus'', and some particular line, called a ''directrix'', are in a fixed ratio, called the ''eccentricity''. The type of conic is determined by the value of the eccentricity. In analytic geometry, a conic may be defined as a plane algebraic curve of deg ...
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Antalya
Antalya () is the List of largest cities and towns in Turkey, fifth-most populous city in Turkey as well as the capital of Antalya Province. Located on Anatolia's southwest coast bordered by the Taurus Mountains, Antalya is the largest Turkish city on the Mediterranean coast outside the Aegean region with over one million people in its metropolitan area.2011 Census
Turkish Statistical Institute (Büyükşehir belediyeleri ve bağlı belediyelerin nüfusları) – 2011
The city that is now Antalya was first settled around 200 BC by the Attalid dynasty of Pergamon, which was soon subdued by the Romans. Roman rule saw Antalya thrive, including the construction of several new monuments, such as Hadrian's Gate, and the proliferation of ne ...
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Greek Mathematics
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly extant from the 7th century BC to the 4th century AD, around the shores of the Eastern Mediterranean. Greek mathematicians lived in cities spread over the entire Eastern Mediterranean from Italy to North Africa but were united by Greek culture and the Greek language. The word "mathematics" itself derives from the grc, , máthēma , meaning "subject of instruction". The study of mathematics for its own sake and the use of generalized mathematical theories and proofs is an important difference between Greek mathematics and those of preceding civilizations. Origins of Greek mathematics The origin of Greek mathematics is not well documented. The earliest advanced civilizations in Greece and in Europe were the Minoan and later Mycenaean civilizations, both of which flourished during the 2nd millennium BCE. While these civilizations possessed writing and ...
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Antalya Province
Antalya Province ( tr, ) is located on the Mediterranean coast of south-west Turkey, between the Taurus Mountains and the Mediterranean Sea. Antalya Province is the centre of Turkey's tourism industry, attracting 30% of foreign tourists visiting Turkey. Its capital city of the same name was the world's third most visited city by number of international arrivals in 2011, displacing New York. Antalya is Turkey's biggest international sea resort. The province of Antalya corresponds to the lands of ancient Pamphylia to the east and Lycia to the west. It features a shoreline of with beaches, ports, and ancient cities scattered throughout, including the World Heritage Site Xanthos. The provincial capital is Antalya city with a population of 1,344,000. Antalya is the fastest-growing province in Turkey; with a 4.17% yearly population growth rate between years 1990–2000, compared with the national rate of 1.83%. This growth is due to a fast rate of urbanization, particularly driv ...
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Aksu River (Turkey)
The Aksu (Bronze Age name in Hittite: 𒁉𒋻𒀀𒅀, ''Kaštaraya'', ancient name in Greek Κέστρoς, ''Kestros''), is a river in Antalya Province (southwestern Turkey), which rises in the mountains of Toros. The course of the Aksu is between the Düden to the west and of the Köprüçay to the east. History A treaty between the Hittite Great King Tudhaliya IV and his vassal, the king of Tarhuntassa, defined the latter's western border at the "Kastaraya River", near "Parha". Parha is likely the future Perga. As Kestros, the river is mentioned by Pomponius Mela as navigable, as far upriver as Perga, 60 stadia (about ) from its mouth, according to Strabo. It silted up over the Byzantine era, and Perga declined as a result. Today The Aksu is wide at its mouth, and deep within the bar, which extends across the mouth, and so shallow in places in its delta as to be impassable to boats that draw more than of water. The swell from the sea meeting the stream generally prod ...
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