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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eccentric orbits to explain the apparently aberrant motion of the planets, commonly believed until the Middle Ages, was superseded during the Renaissance.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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apollonius (crater)
Apollonius is a lunar impact crater located near the eastern limb of the Moon. It lies in the region of uplands to the west of Mare Undarum and northeast of the Sinus Successus on the Mare Fecunditatis. It was named after Greek mathematician Apollonius of Perga. It is southwest of the crater Firmicus, and north of Condon. The outer rim of Apollonius is somewhat worn and is overlain by a pair of small craters (including Apollonius E) across the western wall. The nearly flat interior floor has a low albedo and has been covered by lava. It lacks a central peak or notable small craters across the bottom. Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater midpoint that is closest to Apollonius. The following craters have been renamed by the IAU. * Apollonius C — ''See'' Ameghino (crater). * Apollonius D — ''See'' Cartan (crater). * Apollonius G — ''See'' Townley (crater). * Apollonius K ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Basilides Of Tyre
Basilides of Tyre ( grc, Βασιλείδης) was a mathematician, mentioned by Hypsicles in his prefatory letter of Euclid's ''Elements'', Book XIV. Barnes and Brunschwig suggested that Basilides of Tyre and Basilides the Epicurean could be the same Basilides. Life From Hypsicles letter it appears plausible that a Basilides of Tyre has met Hypsicles and his father, perhaps in Alexandria, a central point for mathematicians at the times. Basilides letter is part of the supplement taken from Euclid's Book XIV, written by Hypsicles. See also *Tyre, Lebanon Tyre (; ar, صور, translit=Ṣūr; phn, 𐤑𐤓, translit=Ṣūr, Greek language, Greek ''Tyros'', Τύρος) is a city in Lebanon, one of the List of oldest continuously inhabited cities, oldest continually inhabited cities in the world, t ... References {{authority control Ancient Greek mathematicians ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hypsicles
Hypsicles ( grc-gre, Ὑψικλῆς; c. 190 – c. 120 BCE) was an ancient Greek mathematician and astronomer known for authoring ''On Ascensions'' (Ἀναφορικός) and the Book XIV of Euclid's ''Elements''. Hypsicles lived in Alexandria. Life and work Although little is known about the life of Hypsicles, it is believed that he authored the astronomical work ''On Ascensions''. The mathematician Diophantus of Alexandria noted on a definition of polygonal numbers, due to Hypsicles: On Ascensions In ''On Ascensions'' (Ἀναφορικός and sometimes translated ''On Rising Times''), Hypsicles proves a number of propositions on arithmetical progressions and uses the results to calculate approximate values for the times required for the signs of the zodiac to rise above the horizon. It is thought that this is the work from which the division of the circle into 360 parts may have been adopted since it divides the day into 360 parts, a division possibly suggested by Babyl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Attalid Dynasty
The Kingdom of Pergamon or Attalid kingdom was a Ancient Greece, Greek state during the Hellenistic period that ruled much of the Western part of Anatolia, Asia Minor from its capital city of Pergamon. It was ruled by the Attalid dynasty (; grc-x-koine, Δυναστεία των Ατταλιδών, translit=Dynasteía ton Attalidón). The kingdom was a rump state that was created from the territory ruled by Lysimachus, a general of Alexander the Great. Philetaerus, one of Lysimachus' lieutenants, rebelled and took the city of Pergamon and its environs with him; Lysimachus died soon after in 281 BC. The new kingdom was initially in a vassal-like relationship of nominal fealty to the Seleucid Empire, but exercised considerable autonomy and soon became entirely independent. It was a monarchy ruled by Philetaerus's extended family and their descendants. It lasted around 150 years before being eventually absorbed by the Roman Republic during the period from 133–129 BC. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kingdom Of Pergamon
The Kingdom of Pergamon or Attalid kingdom was a Greek state during the Hellenistic period that ruled much of the Western part of Asia Minor from its capital city of Pergamon. It was ruled by the Attalid dynasty (; grc-x-koine, Δυναστεία των Ατταλιδών, translit=Dynasteía ton Attalidón). The kingdom was a rump state that was created from the territory ruled by Lysimachus, a general of Alexander the Great. Philetaerus, one of Lysimachus' lieutenants, rebelled and took the city of Pergamon and its environs with him; Lysimachus died soon after in 281 BC. The new kingdom was initially in a vassal-like relationship of nominal fealty to the Seleucid Empire, but exercised considerable autonomy and soon became entirely independent. It was a monarchy ruled by Philetaerus's extended family and their descendants. It lasted around 150 years before being eventually absorbed by the Roman Republic during the period from 133–129 BC. History Philetaerus was a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diadochi
The Diadochi (; singular: Diadochus; from grc-gre, Διάδοχοι, Diádochoi, Successors, ) were the rival generals, families, and friends of Alexander the Great who fought for control over his empire after his death in 323 BC. The Wars of the Diadochi mark the beginning of the Hellenistic period from the Mediterranean Sea to the Indus River Valley. The most notable Diadochi include Ptolemy, Antigonus, Cassander, and Seleucus as the last remaining at the end of the Wars of the Successors, ruling in Egypt, Asia-Minor, Macedon and Persia respectively, all forging dynasties lasting several centuries. Background Ancient role In ancient Greek, is a noun (substantive or adjective) formed from the verb, ''diadechesthai'', "succeed to," a compound of ''dia-'' and ''dechesthai'', "receive." The word-set descends straightforwardly from Indo-European *dek-, "receive", the substantive forms being from the o-grade, *dok-. Some important English reflexes are dogma, "a receiv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seleucid Empire
The Seleucid Empire (; grc, Βασιλεία τῶν Σελευκιδῶν, ''Basileía tōn Seleukidōn'') was a Greek state in West Asia that existed during the Hellenistic period from 312 BC to 63 BC. The Seleucid Empire was founded by the Macedonian general Seleucus I Nicator, following the division of the Macedonian Empire originally founded by Alexander the Great. After receiving the Mesopotamian region of Babylonia in 321 BC, Seleucus I began expanding his dominions to include the Near Eastern territories that encompass modern-day Iraq, Iran, Afghanistan, Syria, all of which had been under Macedonian control after the fall of the former Persian Achaemenid Empire. At the Seleucid Empire's height, it had consisted of territory that had covered Anatolia, Persia, the Levant, and what are now modern Iraq, Kuwait, Afghanistan, and parts of Turkmenistan. The Seleucid Empire was a major center of Hellenistic culture. Greek customs and language were privileged; the wide varie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ptolemaic Dynasty
The Ptolemaic dynasty (; grc, Πτολεμαῖοι, ''Ptolemaioi''), sometimes referred to as the Lagid dynasty (Λαγίδαι, ''Lagidae;'' after Ptolemy I's father, Lagus), was a Macedonian Greek royal dynasty which ruled the Ptolemaic Kingdom in Ancient Egypt during the Hellenistic period. Their rule lasted for 275 years, from 305 to 30 BC. The Ptolemaic was the last dynasty of ancient Egypt. Ptolemy, one of the seven somatophylakes (bodyguard companions), a general and possible half-brother of Alexander the Great, was appointed satrap of Egypt after Alexander's death in 323 BC. In 305 BC, he declared himself Pharaoh Ptolemy I, later known as ''Sōter'' "Saviour". The Egyptians soon accepted the Ptolemies as the successors to the pharaohs of independent Egypt. Ptolemy's family ruled Egypt until the Roman conquest of 30 BC. Like the earlier dynasties of ancient Egypt, the Ptolemaic dynasty practiced inbreeding including sibling marriage, but this did not start ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anatolia
Anatolia, tr, Anadolu Yarımadası), and the Anatolian plateau, also known as Asia Minor, is a large peninsula in Western Asia and the westernmost protrusion of the Asian continent. It constitutes the major part of modern-day Turkey. The region is bounded by the Turkish Straits to the northwest, the Black Sea to the north, the Armenian Highlands to the east, the Mediterranean Sea to the south, and the Aegean Sea to the west. The Sea of Marmara forms a connection between the Black and Aegean seas through the Bosporus and Dardanelles straits and separates Anatolia from Thrace on the Balkan peninsula of Southeast Europe. The eastern border of Anatolia has been held to be a line between the Gulf of Alexandretta and the Black Sea, bounded by the Armenian Highlands to the east and Mesopotamia to the southeast. By this definition Anatolia comprises approximately the western two-thirds of the Asian part of Turkey. Today, Anatolia is sometimes considered to be synonymous with Asian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ptolemy III Euergetes
, predecessor = Ptolemy II , successor = Ptolemy IV , nebty = ''ḳn nḏtj-nṯrw jnb-mnḫ-n-tꜢmrj''''Qen nedjtinetjeru inebmenekhentamery''The brave one who has protected the gods, a potent wall for The Beloved Land , nebty_hiero = q*nw:n:D40-Aa27-nw:t-Z3-nTr-O36-mnx-n:N17:U7-r:O49*O5 , horus = ''ḥkn-nṯrw-rmṯ-ḥr.f''''Khekenetjeruremetj-heref''The one over whom gods and people have rejoiced Second Horus name:''ḥkn-nṯrw-rmṯ-ḥr.f m-šsp.f-nsyt-m-Ꜥ-jt.f''''Hekenetjeruremetj-heref emshesepefnesytemaitef''The one over whom gods and people have rejoiced when he has received the kingship from his father's hand , golden = ''wr-pḥtj jrj-Ꜣḫt nb-ḥꜢbw-sd-mi-ptḥ-tꜢ-ṯnn jty-mi-rꜤ''''Werpehty iryakhut nebkhabusedmiptah-tatenen itymire''Whose might is great, doing that which is beneficial,Lord of the years of Jubilee like Ptah Ta-Tjenen, a ruler like Ra , golden_hiero= wr:r-F9*F9:ir-Z3*Ax*x:nb-O23-Z3-p:t-H-C19-C18-mi-i-U33-i-i- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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