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91-552: Torremolinos ( Spanish pronunciation: [toremoˈlinos] ) is a municipality in Andalusia , southern Spain , west of Málaga . A poor fishing village before the growth in tourism began in the late 1950s, Torremolinos was the first of the Costa del Sol resorts to be developed and is still the most popular in the region. On the western shore of the Bay of Málaga and in front of
182-417: A perfect fourth ) and octaves . Ptolemy reviewed standard (and ancient, disused ) musical tuning practice of his day, which he then compared to his own subdivisions of the tetrachord and the octave , which he derived experimentally using a monochord / harmonic canon. The volume ends with a more speculative exposition of the relationships between harmony, the soul ( psyche ), and the planets ( harmony of
273-612: A Roman citizen, but was ethnically either a Greek or at least a Hellenized Egyptian. Astronomy was the subject to which Ptolemy devoted the most time and effort; about half of all the works that survived deal with astronomical matters, and even others such as the Geography and the Tetrabiblos have significant references to astronomy. Ptolemy's Mathēmatikē Syntaxis ( Greek : Μαθηματικὴ Σύνταξις , lit. ' Mathematical Systematic Treatise ' ), better known as
364-590: A celebration that includes parades, music and dance shows happening both in the fairgrounds and in the city center for up to a week. In mid October each year the Komando Motorbike Festival takes place with approximately 15,000 bikers attending the Palacio de Congresso. Torremolinos is home to the largest water park on the Costa del Sol. Called Aqualand, it is open from May to October. Next door
455-476: A coherent mathematical description, which persists to the present as just intonation – the standard for comparison of consonance in the many other, less-than exact but more facile compromise tuning systems. During the Renaissance , Ptolemy's ideas inspired Kepler in his own musings on the harmony of the world ( Harmonice Mundi , Appendix to Book V). The Optica ( Koine Greek : Ὀπτικά ), known as
546-472: A conference, exhibition and convention centre, the Palacio de Congresos, the auditorium Prince of Asturias, and the Pablo Ruiz Picasso cultural centre. Torremolinos has some early shopping centres built in the 1960s and 70s most of which are sparsely populated due to unmotivated landowners and difficulties with disabled access. The main tourist shops are on Calle San Miguel, Plaza Costa del Sol,
637-442: A fair amount of Sahara dust. Temperatures normally hover around 30 °C (86 °F) in the summer and 17–19 °C (63–66 °F) in the winter. Torremolinos sometimes experiences a sea fog that goes as quickly as it appears. The beach, which extends for nearly 8 kilometres (5.0 miles), has cycle and skating lanes alongside the fully illuminated promenade and features many chiringuitos (beach bars/restaurants). The eastern end of
728-402: A handful of places. Ptolemy's real innovation, however, occurs in the second part of the book, where he provides a catalogue of 8,000 localities he collected from Marinus and others, the biggest such database from antiquity. About 6 300 of these places and geographic features have assigned coordinates so that they can be placed in a grid that spanned the globe. Latitude was measured from
819-498: A long exposition on the relationship between reason and sense perception in corroborating theoretical assumptions. After criticizing the approaches of his predecessors, Ptolemy argues for basing musical intervals on mathematical ratios (as opposed to the ideas advocated by followers of Aristoxenus ), backed up by empirical observation (in contrast to the excessively theoretical approach of the Pythagoreans ). Ptolemy introduces
910-601: A method for specifying the location of the Sun in three pairs of locally oriented coordinate arcs as a function of the declination of the Sun, the terrestrial latitude, and the hour. The key to the approach is to represent the solid configuration in a plane diagram that Ptolemy calls the analemma . In another work, the Phaseis ( Risings of the Fixed Stars ), Ptolemy gave a parapegma , a star calendar or almanac , based on
1001-466: A much later pseudepigraphical composition. The identity and date of the actual author of the work, referred to now as Pseudo-Ptolemy , remains the subject of conjecture. Ptolemy wrote a work entitled Harmonikon ( Greek : Ἁρμονικόν ), known as the Harmonics , on music theory and the mathematics behind musical scales in three books. Harmonics begins with a definition of harmonic theory, with
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#17327650025611092-400: A municipality has jurisdiction may encompass: Powers of municipalities range from virtual autonomy to complete subordination to the state . Municipalities may have the right to tax individuals and corporations with income tax , property tax , and corporate income tax , but may also receive substantial funding from the state. In some European countries, such as Germany, municipalities have
1183-469: A sea fog that goes as quickly as it appears. The phenomenon, known as 'Taró', was reported as far back as Phoenician times and is a type of sea advection fog. Being the principal tourist destination on the Costa del Sol, with over 1 million visitors and 5 million bed stays in 2023 Torremolinos has many events and festivals throughout the year. In the end of September Torremolinos has the Feria de San Miguel,
1274-531: A significant number of original old town properties have kept the town centre much more open than other popular resorts such as Benidorm and Fuengirola . As the name Coast of the Sun implies, Torremolinos enjoys one of the best climates in Europe. It has long, dry summers with relatively low humidity, and mild winters with occasional, though heavy, rainfall. The town benefits in the summer from cool sea breezes predominantly coming from Africa, although this does mean
1365-558: A temple at Canopus , around 146–147 AD, known as the Canobic Inscription . Although the inscription has not survived, someone in the sixth century transcribed it, and manuscript copies preserved it through the Middle Ages. It begins: "To the saviour god, Claudius Ptolemy (dedicates) the first principles and models of astronomy", following by a catalogue of numbers that define a system of celestial mechanics governing
1456-482: A thousand years or more". It was first translated from Arabic into Latin by Plato of Tivoli (Tiburtinus) in 1138, while he was in Spain. Much of the content of the Tetrabiblos was collected from earlier sources; Ptolemy's achievement was to order his material in a systematic way, showing how the subject could, in his view, be rationalized. It is, indeed, presented as the second part of the study of astronomy of which
1547-472: A town population of 106. The mills and the city were rebuilt in the early 20th century, but the mill industry started to decline in the 1920s. It was largely replaced by an increasing tourist interest from 1928, particularly British visitors. Hotel Pez Espada opened in 1960. The first gay bar in Spain, Toni's Bar, was founded in Torremolinos in 1962. The Spanish regime reacted to the free lifestyle of
1638-562: A view supported by the Stoics. Although mainly known for his contributions to astronomy and other scientific subjects, Ptolemy also engaged in epistemological and psychological discussions across his corpus. He wrote a short essay entitled On the Criterion and Hegemonikon ( Greek : Περὶ Κριτηρίου καὶ Ἡγεμονικοῡ ), which may have been one of his earliest works. Ptolemy deals specifically with how humans obtain scientific knowledge (i.e.,
1729-587: Is ancestral to the modern system of constellations but, unlike the modern system, they did not cover the whole sky (only what could be seen with the naked eye in the northern hemisphere). For over a thousand years, the Almagest was the authoritative text on astronomy across Europe, the Middle East, and North Africa. The Almagest was preserved, like many extant Greek scientific works, in Arabic manuscripts;
1820-621: Is composed of two floors and watch windows to the sea and a terrace. After the Christians conquered the kingdom of Granada, Torremolinos was attacked by pirates until the 18th century. During the War of Spanish succession, an Anglo-Dutch fleet, commanded by the British Admiral George Rooke, looted and burned the houses and mills and destroyed all of Torremolinos. A census of 1769 shows a population of 106 people. During
1911-689: Is his Geographike Hyphegesis ( Greek : Γεωγραφικὴ Ὑφήγησις ; lit. ' Guide to Drawing the Earth ' ), known as the Geography , a handbook on how to draw maps using geographical coordinates for parts of the Roman world known at the time. He relied on previous work by an earlier geographer, Marinus of Tyre , as well as on gazetteers of the Roman and ancient Persian Empire . He also acknowledged ancient astronomer Hipparchus for having provided
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#17327650025612002-596: Is of Homeric form . It was common among the Macedonian upper class at the time of Alexander the Great and there were several of this name among Alexander's army, one of whom made himself pharaoh in 323 BC: Ptolemy I Soter , the first pharaoh of the Ptolemaic Kingdom . Almost all subsequent pharaohs of Egypt, with a few exceptions, were named Ptolemy until Egypt became a Roman province in 30 BC, ending
2093-483: Is printed every Friday. The Bull ring is no longer used for bullfighting, and is instead used as an entertainment venue for events such as dance and live music acts. Twice a week next to the Bull ring, a public market is held. On Thursday morning it is primarily used for the sale of clothing, and on Sunday morning there is a greater range of goods available. Torremolinos has several large municipal-owned venues, including
2184-467: Is subordinate. The term municipality may also mean the governing body of a given municipality. A municipality is a general-purpose administrative subdivision, as opposed to a special-purpose district . The English word is derived from French municipalité , which in turn derives from the Latin municipalis , based on the word for social contract ( municipium ), referring originally to
2275-646: Is the Geography , which is a thorough discussion on maps and the geographic knowledge of the Greco-Roman world . The third is the astrological treatise in which he attempted to adapt horoscopic astrology to the Aristotelian natural philosophy of his day. This is sometimes known as the Apotelesmatika ( Greek : Αποτελεσματικά , lit. ' On the Effects ' ) but more commonly known as
2366-526: Is the Crocodile Park, which is open year-round. Nearby is a large wooded area with public barbecue facilities and seating. The botanical gardens, Molino de Inca, are located next to the municipal-run Garden center which backs onto Aqualand. The local radio station is Radio Planeta on FM 92.8 and only plays dance music in English but with Spanish advertising. A free English paper, Sur in English,
2457-467: The Almagest , is the only surviving comprehensive ancient treatise on astronomy. Although Babylonian astronomers had developed arithmetical techniques for calculating and predicting astronomical phenomena, these were not based on any underlying model of the heavens; early Greek astronomers, on the other hand, provided qualitative geometrical models to "save the appearances" of celestial phenomena without
2548-580: The Tetrábiblos , from the Koine Greek meaning "Four Books", or by its Latin equivalent Quadripartite . The Catholic Church promoted his work, which included the only mathematically sound geocentric model of the Solar System , and unlike most Greek mathematicians , Ptolemy's writings (foremost the Almagest ) never ceased to be copied or commented upon, both in late antiquity and in
2639-662: The Almagest was the first, concerned with the influences of the celestial bodies in the sublunary sphere . Thus explanations of a sort are provided for the astrological effects of the planets , based upon their combined effects of heating, cooling, moistening, and drying. Ptolemy dismisses other astrological practices, such as considering the numerological significance of names, that he believed to be without sound basis, and leaves out popular topics, such as electional astrology (interpreting astrological charts to determine courses of action) and medical astrology , for similar reasons. The great respect in which later astrologers held
2730-410: The Geography is likely to be of different dates, in addition to containing many scribal errors. However, although the regional and world maps in surviving manuscripts date from c. 1300 AD (after the text was rediscovered by Maximus Planudes ), there are some scholars who think that such maps go back to Ptolemy himself. Ptolemy wrote an astrological treatise, in four parts, known by
2821-655: The Middle Ages . However, it is likely that only a few truly mastered the mathematics necessary to understand his works, as evidenced particularly by the many abridged and watered-down introductions to Ptolemy's astronomy that were popular among the Arabs and Byzantines. His work on epicycles has come to symbolize a very complex theoretical model built in order to explain a false assumption. Ptolemy's date of birth and birthplace are both unknown. The 14th-century astronomer Theodore Meliteniotes wrote that Ptolemy's birthplace
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2912-788: The Optics, is a work that survives only in a somewhat poor Latin version, which, in turn, was translated from a lost Arabic version by Eugenius of Palermo ( c. 1154 ). In it, Ptolemy writes about properties of sight (not light), including reflection , refraction , and colour . The work is a significant part of the early history of optics and influenced the more famous and superior 11th-century Book of Optics by Ibn al-Haytham . Ptolemy offered explanations for many phenomena concerning illumination and colour, size, shape, movement, and binocular vision. He also divided illusions into those caused by physical or optical factors and those caused by judgmental factors. He offered an obscure explanation of
3003-595: The Romans are the most likely to have founded the current town, as shown by findings of edifices and a necropolis (from whose size it has been deduced that the settlement had around 2,000 inhabitants). They also built the road joining Cadiz with Málaga , passing through Torremolinos. With the Moorish conquest of Spain, the mills, from which the town takes its name (meaning "Tower of the Mills"), were introduced. However, at
3094-616: The Sierra de Mijas 13 km (8 miles) from Málaga , it is served by the A-7 motorway , which bypasses the city to the north, the Cercanías commuter train and Avanzabus. In 2013, it had 69,389 inhabitants, making it the sixth largest city in the province. The township has an area of 20 km (7.7 sq mi). Areas of the town are dotted with older high-rise residential buildings and hotels, but height limitations on new developments and
3185-463: The Tetrabiblos derived from its nature as an exposition of theory, rather than as a manual. A collection of one hundred aphorisms about astrology called the Centiloquium , ascribed to Ptolemy, was widely reproduced and commented on by Arabic, Latin, and Hebrew scholars, and often bound together in medieval manuscripts after the Tetrabiblos as a kind of summation. It is now believed to be
3276-461: The equator , as it is today, but Ptolemy preferred to express it as climata , the length of the longest day rather than degrees of arc : The length of the midsummer day increases from 12h to 24h as one goes from the equator to the polar circle . One of the places Ptolemy noted specific coordinates for was the now-lost stone tower which marked the midpoint on the ancient Silk Road , and which scholars have been trying to locate ever since. In
3367-519: The harmonic canon (Greek name) or monochord (Latin name), which is an experimental musical apparatus that he used to measure relative pitches, and used to describe to his readers how to demonstrate the relations discussed in the following chapters for themselves. After the early exposition on to build and use monochord to test proposed tuning systems, Ptolemy proceeds to discuss Pythagorean tuning (and how to demonstrate that their idealized musical scale fails in practice). The Pythagoreans believed that
3458-430: The "criterion" of truth), as well as with the nature and structure of the human psyche or soul, particularly its ruling faculty (i.e., the hegemonikon ). Ptolemy argues that, to arrive at the truth, one should use both reason and sense perception in ways that complement each other. On the Criterion is also noteworthy for being the only one of Ptolemy's works that is devoid of mathematics . Elsewhere, Ptolemy affirms
3549-470: The 1990s a Roman necropolis was discovered with 23 graves at the "San Luis build" at Cantabria's square, which confirm the existence of a village of about 2000 years old. Around 1300, the Muslim dynasty of the "Nazríes", which governed Málaga between the 13th and 15th centuries, built the defensive tower that can be seen at the end of San Miguel Street. The tower is 12 metres high and was built with earth. It
3640-461: The Art Deco styled Hotel Pez Espada was opened, the first luxury hotel along the coast. In the following years, new hotels, nightclubs and other tourist-aimed establishments changed the face of the town and its beaches. By 1965, Torremolinos was already consolidated as a major tourist destination. In 2023, Torremolinos achieved record numbers of hotel occupancy and tourist spend, particularly from
3731-489: The French astronomer Delambre in the early 1800s which were repeated by R.R. Newton. Specifically, it proved Hipparchus was not the sole source of Ptolemy's catalog, as they both had claimed, and proved that Ptolemy did not simply copy Hipparchus' measurements and adjust them to account for precession of the equinoxes, as they had claimed. Scientists analyzing the charts concluded: It also confirms that Ptolemy’s Star Catalogue
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3822-477: The Greek term Tetrabiblos (lit. "Four Books") or by its Latin equivalent Quadripartitum . Its original title is unknown, but may have been a term found in some Greek manuscripts, Apotelesmatiká ( biblía ), roughly meaning "(books) on the Effects" or "Outcomes", or "Prognostics". As a source of reference, the Tetrabiblos is said to have "enjoyed almost the authority of a Bible among the astrological writers of
3913-575: The LGBTQ events such as Madbear and Torremolinos Gay Pride as well as the Feria San Miquel which attracts over 200,000 visitors. Torremolinos has a subtropical Mediterranean climate ( Köppen : Csa ). The summers are hot and dry with relatively low humidity, and the winters are mild and humid, especially in November and December, with occasional, though heavy, rainfall. The town benefits in
4004-569: The Latin communities that supplied Rome with troops in exchange for their own incorporation into the Roman state (granting Roman citizenship to the inhabitants) while permitting the communities to retain their own local governments (a limited autonomy). A municipality can be any political jurisdiction , from a sovereign state such as the Principality of Monaco , to a small village such as West Hampton Dunes, New York . The territory over which
4095-503: The Macedonian family's rule. The name Claudius is a Roman name, belonging to the gens Claudia ; the peculiar multipart form of the whole name Claudius Ptolemaeus is a Roman custom, characteristic of Roman citizens. This indicates that Ptolemy would have been a Roman citizen . Gerald Toomer, the translator of Ptolemy's Almagest into English, suggests that citizenship was probably granted to one of Ptolemy's ancestors by either
4186-557: The Neolithic in the Quaternary period, around 5.000 years before Christ at the period when man learned to cultivate, the land. It is estimated that the skeletons found at the caves and at the cape of Torremolinos were 1.5 or 1.6 meters tall (4’9 ft. or 5’2 ft.). According to Ptolemy , Phoenicians built the city of Saduce next to Torremolinos. The Romans constructed a road to connect Gades (Cádiz) with Malaca (Málaga). In
4277-685: The Spanish term ayuntamiento , referring to a municipality's administration building, is extended via synecdoche to denote the municipality itself. In Moldova and Romania , both municipalities ( municipiu ; urban administrative units) and communes ( comună ; rural units) exist, and a commune may be part of a municipality. In many countries, comparable entities may exist with various names. Ptolemy Claudius Ptolemy ( / ˈ t ɒ l ə m i / ; ‹See Tfd› Greek : Πτολεμαῖος , Ptolemaios ; Latin : Claudius Ptolemaeus ; c. 100 – c. 170 AD)
4368-455: The Sun or Moon illusion (the enlarged apparent size on the horizon) based on the difficulty of looking upwards. The work is divided into three major sections. The first section (Book II) deals with direct vision from first principles and ends with a discussion of binocular vision. The second section (Books III-IV) treats reflection in plane, convex, concave, and compound mirrors. The last section (Book V) deals with refraction and includes
4459-422: The ability to make any predictions. The earliest person who attempted to merge these two approaches was Hipparchus , who produced geometric models that not only reflected the arrangement of the planets and stars but could be used to calculate celestial motions. Ptolemy, following Hipparchus, derived each of his geometrical models for the Sun, Moon, and the planets from selected astronomical observations done in
4550-476: The appearances and disappearances of stars over the course of the solar year. The Planisphaerium ( Greek : Ἅπλωσις ἐπιφανείας σφαίρας , lit. ' Flattening of the sphere ' ) contains 16 propositions dealing with the projection of the celestial circles onto a plane. The text is lost in Greek (except for a fragment) and survives in Arabic and Latin only. Ptolemy also erected an inscription in
4641-427: The area, have been frequented by Novak Djokovic . The coastal towns from Malaga through to Fuengirola are served by Cercanías commuter trains and the fares are divided by zone. Málaga Airport is 10 minutes away by train, which runs every 20 minutes. It is the 3rd busiest airport in Spain carrying over 16 million passengers annually. However, there is no public transport to and from the airport before 6 o'clock in
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#17327650025614732-586: The beach, known as Los Álamos, has live dance music events throughout the summer. The easternmost parts of the beach have kitesurfing and windsurfing except under the flight path of the airport. In addition to its tourism sector, Torremolinos is known locally for its vibrant and liberal nightlife, particularly its numerous bars and clubs catering to the LGBT community . Torremolinos co-hosted World Pride in 2017 in conjunction with Madrid and holds its own Pride in June, now
4823-403: The book on astrology and attributed it to Ptolemy". Historical confusion on this point can be inferred from Abu Ma'shar's subsequent remark: "It is sometimes said that the very learned man who wrote the book of astrology also wrote the book of the Almagest . The correct answer is not known." Not much positive evidence is known on the subject of Ptolemy's ancestry, apart from what can be drawn from
4914-498: The city with arrests of homosexuals and other repressions during the 1970s. Torremolinos first appeared on the map of the Ensenada's Marques in 1748. The name comes from the words Torre (Tower) and Molino (Mill). Water mills covered all this area of which only one survives (Molino de Inca) and one tower which forms part of a restaurant. Historians believe that moulded stones discovered at beaches and mountains in Torremolinos indicate
5005-479: The community living in the area and the common interest. These include terms: The same terms "Gemeente" (Dutch) or "Gemeinde" (German) may be used for church congregations or parishes, for example, in the German and Dutch Protestant churches. In Greece, the word Δήμος ( demos ) is used, also meaning 'community'; the word is known in English from the compound democracy (rule of the people). In some countries,
5096-400: The constitutional right to supply public services through municipally-owned public utility companies . Terms cognate with "municipality", mostly referring to territory or political structure, are Spanish municipio (Spain) and municipalidad (Chile), Catalan municipi , Portuguese município . In many countries, terms cognate with "commune" are used, referring to
5187-458: The data needed to compute the positions of the Sun, Moon and planets, the rising and setting of the stars, and eclipses of the Sun and Moon, making it a useful tool for astronomers and astrologers. The tables themselves are known through Theon of Alexandria 's version. Although Ptolemy's Handy Tables do not survive as such in Arabic or in Latin, they represent the prototype of most Arabic and Latin astronomical tables or zījes . Additionally,
5278-747: The details of his name, although modern scholars have concluded that Abu Ma'shar's account is erroneous. It is no longer doubted that the astronomer who wrote the Almagest also wrote the Tetrabiblos as its astrological counterpart. In later Arabic sources, he was often known as "the Upper Egyptian ", suggesting he may have had origins in southern Egypt . Arabic astronomers , geographers , and physicists referred to his name in Arabic as Baṭlumyus ( Arabic : بَطْلُمْيوس ). Ptolemy wrote in Koine Greek , and can be shown to have used Babylonian astronomical data . He might have been
5369-402: The earliest surviving table of refraction from air to water, for which the values (with the exception of the 60° angle of incidence) show signs of being obtained from an arithmetic progression. However, according to Mark Smith, Ptolemy's table was based in part on real experiments. Ptolemy's theory of vision consisted of rays (or flux) coming from the eye forming a cone, the vertex being within
5460-469: The elevation of the north celestial pole for a few cities. Although maps based on scientific principles had been made since the time of Eratosthenes ( c. 276 – c. 195 BC ), Ptolemy improved on map projections . The first part of the Geography is a discussion of the data and of the methods he used. Ptolemy notes the supremacy of astronomical data over land measurements or travelers' reports, though he possessed these data for only
5551-553: The emperor Claudius or the emperor Nero . The 9th century Persian astronomer Abu Ma'shar al-Balkhi mistakenly presents Ptolemy as a member of Ptolemaic Egypt's royal lineage , stating that the descendants of the Alexandrine general and Pharaoh Ptolemy I Soter were wise "and included Ptolemy the Wise, who composed the book of the Almagest ". Abu Ma'shar recorded a belief that a different member of this royal line "composed
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#17327650025615642-425: The empirical musical relations he identified by testing pitches against each other: He was able to accurately measure relative pitches based on the ratios of vibrating lengths two separate sides of the same single string , hence which were assured to be under equal tension, eliminating one source of error. He analyzed the empirically determined ratios of "pleasant" pairs of pitches, and then synthesised all of them into
5733-422: The existence of the village 150,000 years ago. Further evidence of its pre-history are nine skulls, some bones, clay pots, axe heads and arrows, ornaments of necklaces and bracelets, a ring and some animal bones discovered in the excavations of the caves: cueva del Tesoro (treasure cave), cueva tapada (cover cave), cueva del encanto (charm cave), cueva del tejón (badger cave). The study of these items places them at
5824-419: The eye, and the base defining the visual field. The rays were sensitive, and conveyed information back to the observer's intellect about the distance and orientation of surfaces. Size and shape were determined by the visual angle subtended at the eye combined with perceived distance and orientation. This was one of the early statements of size-distance invariance as a cause of perceptual size and shape constancy,
5915-434: The first half of the 19th century the town was rebuilt and by 1849, there were 14 mills and 785 inhabitants. With the demise of the mills, Torremolinos became a small fishing village until the end of the 1950s when it became one of the first tourist centers in the Costa del Sol. In the 1950s, many celebrities visited Torremolinos such as Grace Kelly , Ava Gardner , Marlon Brando , Orson Welles and Frank Sinatra . In 1959,
6006-553: The history of science". One striking error noted by Newton was an autumn equinox said to have been observed by Ptolemy and "measured with the greatest care" at 2pm on 25 September 132, when the equinox should have been observed around 9:55am the day prior. In attempting to disprove Newton, Herbert Lewis also found himself agreeing that "Ptolemy was an outrageous fraud," and that "all those result capable of statistical analysis point beyond question towards fraud and against accidental error". The charges laid by Newton and others have been
6097-616: The introduction to the Handy Tables survived separately from the tables themselves (apparently part of a gathering of some of Ptolemy's shorter writings) under the title Arrangement and Calculation of the Handy Tables . The Planetary Hypotheses ( Greek : Ὑποθέσεις τῶν πλανωμένων , lit. ' Hypotheses of the Planets ' ) is a cosmological work, probably one of the last written by Ptolemy, in two books dealing with
6188-500: The mathematics of music should be based on only the one specific ratio of 3:2, the perfect fifth , and believed that tunings mathematically exact to their system would prove to be melodious, if only the extremely large numbers involved could be calculated (by hand). To the contrary, Ptolemy believed that musical scales and tunings should in general involve multiple different ratios arranged to fit together evenly into smaller tetrachords (combinations of four pitch ratios which together make
6279-566: The modern title is thought to be an Arabic corruption of the Greek name Hē Megistē Syntaxis (lit. "The greatest treatise"), as the work was presumably known in Late Antiquity . Because of its reputation, it was widely sought and translated twice into Latin in the 12th century , once in Sicily and again in Spain. Ptolemy's planetary models, like those of the majority of his predecessors, were geocentric and almost universally accepted until
6370-490: The morning and past midnight. Torremolinos is served by 5 rail stations, all of them wheelchair-friendly including the new refurbished main station in the town centre square of La Nogalera, which now has two escalators and lifts following an investment of €7.5 million. Municipality A municipality is usually a single administrative division having corporate status and powers of self-government or jurisdiction as granted by national and regional laws to which it
6461-477: The motions of the Sun, Moon, planets, and stars. In 2023, archaeologists were able to read a manuscript which gives instructions for the construction of an astronomical tool called a meteoroscope ( μετεωροσκόπιον or μετεωροσκοπεῖον ). The text, which comes from an eighth-century manuscript which also contains Ptolemy's Analemma , was identified on the basis of both its content and linguistic analysis as being by Ptolemy. Ptolemy's second most well-known work
6552-461: The observations were taken at 12:30pm. The overall quality of Ptolemy's observations has been challenged by several modern scientists, but prominently by Robert R. Newton in his 1977 book The Crime of Claudius Ptolemy , which asserted that Ptolemy fabricated many of his observations to fit his theories. Newton accused Ptolemy of systematically inventing data or doctoring the data of earlier astronomers, and labelled him "the most successful fraud in
6643-709: The project has been delayed. Torremolinos has many sporting complexes, including two Olympic swimming pools , track and field facilities, tennis courts , racquet ball courts, as well as football pitches ; this, combined with the climate, led to over 900 international athletes training in the town in 2023. During the warmer months, the city offers classes for children, as well as adults, in various physical activities such as Aerosalsa, an activity that combines aerobics with Latin dances and salsa, body tonic, indoor cycling, competitive swimming, children's swimming, functional training, gap, adult swimming, paddle, pilates , basketball and tennis. The covered tennis courts, unusual in
6734-401: The radius of the sphere of the fixed stars was 20 000 times the radius of the Earth. The work is also notable for having descriptions on how to build instruments to depict the planets and their movements from a geocentric perspective, much as an orrery would have done for a heliocentric one, presumably for didactic purposes. The Analemma is a short treatise where Ptolemy provides
6825-486: The reappearance of heliocentric models during the scientific revolution . Under the scrutiny of modern scholarship, and the cross-checking of observations contained in the Almagest against figures produced through backwards extrapolation, various patterns of errors have emerged within the work. A prominent miscalculation is Ptolemy's use of measurements that he claimed were taken at noon, but which systematically produce readings now shown to be off by half an hour, as if
6916-405: The secondary literature, while noting that issues with the accuracy of Ptolemy's observations had long been known. Other authors have pointed out that instrument warping or atmospheric refraction may also explain some of Ptolemy's observations at a wrong time. In 2022 the first Greek fragments of Hipparchus' lost star catalog were discovered in a palimpsest and they debunked accusations made by
7007-474: The spanning of more than 800 years; however, many astronomers have for centuries suspected that some of his models' parameters were adopted independently of observations. Ptolemy presented his astronomical models alongside convenient tables, which could be used to compute the future or past position of the planets. The Almagest also contains a star catalogue , which is a version of a catalogue created by Hipparchus . Its list of forty-eight constellations
7098-451: The spheres ). Although Ptolemy's Harmonics never had the influence of his Almagest or Geography , it is nonetheless a well-structured treatise and contains more methodological reflections than any other of his writings. In particular, it is a nascent form of what in the following millennium developed into the scientific method, with specific descriptions of the experimental apparatus that he built and used to test musical conjectures, and
7189-653: The stairs down to the beach and the beach road itself. In 2016, approval was given for a massive shopping, hotel, casino and leisure complex to be built by the same company, Intu, that developed the Trafford Centre in Manchester on land next to Aqualand and the A7 motorway and primary ring roads. Costing in excess of 800 million euros, it will be the largest development of its type in the Mediterranean, however
7280-440: The structure of the universe and the laws that govern celestial motion . Ptolemy goes beyond the mathematical models of the Almagest to present a physical realization of the universe as a set of nested spheres, in which he used the epicycles of his planetary model to compute the dimensions of the universe. He estimated the Sun was at an average distance of 1 210 Earth radii (now known to actually be ~23 450 radii), while
7371-517: The subject of wide discussions and received significant push back from other scholars against the findings. Owen Gingerich , while agreeing that the Almagest contains "some remarkably fishy numbers", including in the matter of the 30-hour displaced equinox, which he noted aligned perfectly with predictions made by Hipparchus 278 years earlier, rejected the qualification of fraud. Objections were also raised by Bernard Goldstein , who questioned Newton's findings and suggested that he had misunderstood
7462-472: The summer from cool sea breezes predominately coming from Africa although this does mean a fair amount of Sahara dust. On rare occasions heavy dust storms known as Calima can discolour the normally pristine white buildings and even turn the sky orange. Day temperatures normally hover around 30 °C (86 °F) in July and August and the upper teens in the winter. In the summer, Torremolinos sometimes experiences
7553-501: The supremacy of mathematical knowledge over other forms of knowledge. Like Aristotle before him, Ptolemy classifies mathematics as a type of theoretical philosophy; however, Ptolemy believes mathematics to be superior to theology or metaphysics because the latter are conjectural while only the former can secure certain knowledge. This view is contrary to the Platonic and Aristotelian traditions, where theology or metaphysics occupied
7644-605: The third largest in Spain. Archaeological finds, including human and animal bones, tools, and pottery prove that the Torremolinos area was settled as early as the Neolithic Age . Some artifacts and tools are Neanderthal in origin, dated to nearly 150,000 years ago through radiocarbon dating . According to the Egyptian Greek geographer Ptolemy , the Phoenicians had founded here a colony named Saduce , but
7735-587: The third part of the Geography , Ptolemy gives instructions on how to create maps both of the whole inhabited world ( oikoumenē ) and of the Roman provinces, including the necessary topographic lists, and captions for the maps. His oikoumenē spanned 180 degrees of longitude from the Blessed Islands in the Atlantic Ocean to the middle of China , and about 80 degrees of latitude from Shetland to anti-Meroe (east coast of Africa ); Ptolemy
7826-579: The time the population was reduced; the tower was built by the Nasrid rulers of Granada starting from 1300. After the fall of Granada , the town remained subject to North African pirate attacks which lasted from the 18th century; during the War of Spanish Succession , the town was attacked by an Anglo-Dutch flotilla under the British admiral George Rooke and almost entirely destroyed. A document dated 1769 lists
7917-466: Was Ptolemais Hermiou , a Greek city in the Thebaid region of Egypt (now El Mansha, Sohag Governorate ). This attestation is quite late, however, and there is no evidence to support it. It is known that Ptolemy lived in or around the city of Alexandria , in the Roman province of Egypt under Roman rule . He had a Latin name, Claudius, which is generally taken to imply he was a Roman citizen . He
8008-431: Was an Alexandrian mathematician , astronomer , astrologer , geographer , and music theorist who wrote about a dozen scientific treatises , three of which were important to later Byzantine , Islamic , and Western European science. The first was his astronomical treatise now known as the Almagest , originally entitled Mathematical Treatise ( Greek : Μαθηματικὴ Σύνταξις , Mathēmatikḗ Syntaxis ). The second
8099-628: Was familiar with Greek philosophers and used Babylonian observations and Babylonian lunar theory. In half of his extant works, Ptolemy addresses a certain Syrus, a figure of whom almost nothing is known but who likely shared some of Ptolemy's astronomical interests. Ptolemy died in Alexandria c. 168 . Ptolemy's Greek name , Ptolemaeus ( Πτολεμαῖος , Ptolemaîos ), is an ancient Greek personal name . It occurs once in Greek mythology and
8190-464: Was not based solely on data from Hipparchus’ Catalogue. ... These observations are consistent with the view that Ptolemy composed his star catalogue by combining various sources, including Hipparchus’ catalogue, his own observations and, possibly, those of other authors. The Handy Tables ( Greek : Πρόχειροι κανόνες ) are a set of astronomical tables, together with canons for their use. To facilitate astronomical calculations, Ptolemy tabulated all
8281-506: Was well aware that he knew about only a quarter of the globe, and an erroneous extension of China southward suggests his sources did not reach all the way to the Pacific Ocean. It seems likely that the topographical tables in the second part of the work (Books 2–7) are cumulative texts, which were altered as new knowledge became available in the centuries after Ptolemy. This means that information contained in different parts of
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