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101-500: Its name is derived from the root - visl - 'flowing,' of Indo-European origin (compare Vistula ). The Svislach flows through Minsk , the capital of Belarus. This article related to a river in Belarus is a stub . You can help Misplaced Pages by expanding it . Vistula The Vistula ( / ˈ v ɪ s tj ʊ l ə / ; Polish : Wisła [ˈviswa] ; German : Weichsel [ˈvaɪksl] )

202-417: 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

303-612: 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

404-476: 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

505-756: A good and well-measured proxy for the economic growth of the Commonwealth. The owner of a folwark usually signed a contract with the merchants of Gdańsk, who controlled 80% of this inland trade, to ship the grain to Gdańsk. Many rivers in the Commonwealth were used for shipping, including the Vistula, which had a relatively well-developed infrastructure, with river ports and granaries . Most river shipping travelled north, with southward transport being less profitable, and barges and rafts often being sold off in Gdańsk for lumber. In order to arrest recurrent flooding on

606-402: 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

707-498: 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

808-601: 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

909-466: 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

1010-572: A project was undertaken to increase the traffic-carrying capacity of the river upstream of Warsaw by building a number of locks in and around Kraków , this project was not extended further, so that navigability of the Vistula remains limited. The potential of the river would increase considerably if a restoration of the east–west connection via the Narew – Bug – Mukhovets – Pripyat – Dnieper waterways were considered. The shifting economic importance of parts of Europe may make this option more likely. Vistula

1111-558: 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

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1212-482: 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

1313-562: 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.,

1414-587: 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;

1515-689: 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

1616-596: 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

1717-646: 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

1818-574: Is the longest river in Poland and the ninth-longest in Europe, at 1,047 kilometres (651 miles) in length. Its drainage basin , extending into three other countries apart from Poland, covers 193,960 km (74,890 sq mi), of which 168,868 km (65,200 sq mi) is in Poland. The Vistula rises at Barania Góra in the south of Poland, 1,220 meters (4,000 ft) above sea level in

1919-726: Is the northern part of the proposed E40 waterway , continuing eastward into the Bug River , linking the Baltic Sea to the Black Sea . Large parts of the Vistula Basin were occupied by the Iron Age Lusatian and Przeworsk cultures in the first millennium BC. Genetic analysis indicates that there has been an unbroken genetic continuity of the inhabitants over the last 3,500 years. The Vistula Basin along with

2020-467: 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

2121-580: 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

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2222-662: 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

2323-531: The Gdańsk Bay of the Baltic Sea with a delta of six main branches ( Leniwka , Przekop , Śmiała Wisła , Martwa Wisła , Nogat and Szkarpawa ). The river has many associations with Polish culture , history and national identity. It is Poland's most important waterway and natural symbol , flowing notably through Kraków and the capital Warsaw , and the phrase "Country upon Vistula" ( Polish : kraj nad Wisłą ) can be synonymous with Poland. Historically,

2424-410: 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

2525-655: 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

2626-602: The North Sea somewhere at the latitude of contemporary Scotland. The climate of the Vistula valley, its plants, animals, and its very character changed considerably during the process of glacial retreat. Vistula is navigable from the Baltic Sea to Bydgoszcz (where the Bydgoszcz Canal joins the river). It can accommodate modest river vessels of CEMT class II. Farther upstream the river depth lessens. Although

2727-959: The Oder river in Germany. After the war in late 1946, the former Austrian SS member Amon Göth was sentenced to death and hung on 13 September at the Montelupich Prison in Kraków, not far from the site of the Płaszów camp , the camp of which he was commandant throughout The Holocaust . His remains were cremated and the ashes thrown in the Vistula River. Ptolemy This is an accepted version of this page Claudius Ptolemy ( / ˈ t ɒ l ə m i / ; ‹See Tfd› Greek : Πτολεμαῖος , Ptolemaios ; Latin : Claudius Ptolemaeus ; c.  100  – c.  170 AD)

2828-788: 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

2929-699: The Silesian Beskids (western part of Carpathian Mountains ), where it begins with the White Little Vistula ( Biała Wisełka ) and the Black Little Vistula ( Czarna Wisełka ). It flows through Poland's largest cities, including Kraków , Sandomierz , Warsaw , Płock , Włocławek , Toruń , Bydgoszcz , Świecie , Grudziądz , Tczew and Gdańsk . It empties into the Vistula Lagoon ( Zalew Wiślany ) or directly into

3030-463: 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

3131-461: 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

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3232-519: 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

3333-430: 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

3434-491: The 16th century most of the grain exported was leaving Poland through Gdańsk, which because of its location at the end of the Vistula and its tributary waterway and of its Baltic seaport trade role became the wealthiest, most highly developed, and by far the largest centre of crafts and manufacturing, and the most autonomous of the Polish cities. Other towns were negatively affected by Gdańsk's near-monopoly in foreign trade. During

3535-718: The Alpine zone to which the Alps and the Carpathians belong. The Vistula begins in the Carpathian mountains. The run and character of the river were shaped by ice sheets flowing down from the Scandinavian peninsula. The last ice sheet entered the area of Poland about 20,000 years ago. During periods of warmer weather, the ancient Vistula, "Pra-Wisła", searched for the shortest way to the sea—thousands of years ago it flowed into

3636-531: The Baltic area as a centre of merchants and trade and as a port city. At this time the surrounding lands were inhabited by Pomeranians , but Gdańsk soon became a starting point for German settlement of the largely fallow Vistulan country. Before its peak in 1618, trade increased by a factor of 20 from 1491. This factor is evident when looking at the tonnage of grain traded on the river in the key years of: 1491: 14,000; 1537: 23,000; 1563: 150,000; 1618: 310,000. In

3737-489: 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

3838-553: The German ). According to the most popular variant, popularized by the 15th-century historian Jan Długosz , Wanda, daughter of King Krak , became queen of the Poles upon her father's death. She refused to marry a German prince Rytigier (Rüdiger), who took offence and invaded Poland, but was repelled. Wanda however committed suicide , drowning in the Vistula River, to ensure he would not invade her country again. For hundreds of years

3939-477: 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

4040-503: 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

4141-577: The River Vistula and its valley spans over 2 million years. The river is connected to the geological period called the Quaternary , in which distinct cooling of the climate took place. In the last million years, an ice sheet entered the area of Poland eight times, bringing along with it changes of reaches of the river. In warmer periods, when the ice sheet retreated, the Vistula deepened and widened its valley. The river took its present shape within

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4242-455: 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

4343-635: The Vistula Lagoon, now for flood control closed to the east with a lock) and a west-flowing branch (the Danzig (Gdańsk) Vistula, Przegalinie branch, reached the sea in Danzig). Until the 14th century, the Elbing Vistula was the bigger. List of right and left tributaries with a nearby city, from source to mouth: According to flood studies carried out by Zbigniew Pruszak, who is the co-author of

4444-608: The Vistula and the Neman . It provided a link with the Black Sea to the south through the Oginski Canal , Dnieper River , Berezina Canal, and Dvina River . The Baltic Sea– Vistula– Dnieper– Black Sea route with its rivers was one of the most ancient trade routes, the Amber Road , on which amber and other items were traded from Northern Europe to Greece, Asia, Egypt , and elsewhere. The Vistula estuary

4545-458: The Vistula below this point is sometimes called the Leniwka . Various causes (rain, snow melt, ice jams ) have caused many severe floods of the Vistula over the centuries. Land in the area was sometimes depopulated by severe flooding, and later had to be resettled. See (Figure 7, on page 812 at History of floods on the River Vistula ) for a reconstruction map of the delta area as it was around

4646-422: 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

4747-476: 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

4848-403: 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

4949-503: The border of his lands. In 1308 the Teutonic Knights captured the Gdańsk castle and murdered the population. Since then the event is known as the Gdańsk slaughter . The Order had inherited Gniew from Sambor II , thus gaining a foothold on the left bank of the Vistula. Many granaries and storehouses, built in the 14th century, line the banks of the Vistula. In the 15th century the city of Gdańsk gained great importance in

5050-482: The confluences with the Narew river and the Bug river; and bottom, from the confluence with Narew to the sea. The Vistula river basin covers 194,424 square kilometres (75,068 square miles) (in Poland 168,700 square kilometres (65,135 square miles)); its average altitude is 270 metres (886 feet) above sea level . In addition, the majority of its river basin (55%) is 100 to 200 m above sea level; over 3 ⁄ 4 of

5151-651: The course of their offensive and were waiting on the other side of the Vistula River in full force, would help in the battle for Warsaw. However, the Soviets let down the Poles, stopping their advance at the Vistula and branding the insurgents as criminals in radio broadcasts. In early 1945, in the Vistula–Oder Offensive , the Red Army crossed the Vistula and drove the German Wehrmacht back past

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5252-510: 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,

5353-589: The decisive battle of the Polish–Soviet War Battle of Warsaw (sometimes referred to as the Miracle at the Vistula ), was fought as Red Army forces commanded by Mikhail Tukhachevsky approached the Polish capital of Warsaw and nearby Modlin Fortress by the river's mouth. The Polish September campaign included battles over control of the mouth of the Vistula, and of the city of Gdańsk, close to

5454-747: 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

5555-402: 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

5656-569: The eighth century, some of which coalesced later into larger ones. Among the tribes listed in the Bavarian Geographer 's ninth-century document was the Vistulans ( Wiślanie ) in southern Poland. Kraków and Wiślica were their main centres. Many Polish legends are connected with the Vistula river and the beginnings of Polish statehood . One of the most enduring is that about Princess Wanda co nie chciała Niemca ( who rejected

5757-469: 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

5858-553: 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

5959-425: 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

6060-419: 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,

6161-553: 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

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6262-440: 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

6363-492: The lands of the Rhine , Danube , Elbe , and Oder came to be called Magna Germania by Roman authors of the first century AD. This does not imply that the inhabitants were " Germanic peoples " in the modern sense of the term; Tacitus , when describing the Venethi , Peucini and Fenni , wrote that he was not sure if he should call them Germans, since they had settlements and they fought on foot, or rather Sarmatians since they have some similar customs to them. Ptolemy , in

6464-442: The last 14,000 years, after the complete recession of the Scandinavian ice sheet from the area. At present, along with the Vistula valley, erosion of the banks and collecting of new deposits are still occurring. As the principal river of Poland, the Vistula is also in the centre of Europe. Three principal geographical and geological land masses of the continent meet in its river basin: the Eastern European Plain , Western Europe, and

6565-414: The lower Vistula, the Prussian government in 1889–95 constructed an artificial channel about 12 kilometres (7 miles) east of Gdańsk (German name: Danzig )—known as the Vistula Cut (German: Weichseldurchstich ; Polish: Przekop Wisły )—that acted as a huge sluice, diverting much of the Vistula flow directly into the Baltic . As a result, the historic Vistula channel through Gdańsk lost much of its flow and

6666-500: 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

6767-450: 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

6868-477: 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

6969-467: The mouth, where the river Nogat splits off. The Nogat also starts separately as a river named (on this map ) Alte Nogat (Old Nogat) south of Kwidzyn , but further north it picks up water from a crosslink with the Vistula, and becomes a distributary of the Vistula, flowing away northeast into the Vistula Lagoon (Polish: Zalew Wiślany) with a small delta. The Nogat formed part of the border between East Prussia and interwar Poland. The other channel of

7070-499: The name Istula . Ammianus Marcellinus referred to the Bisula (Book   22) in the 380s. In the sixth century Jordanes ( Getica   5 & 17) used Viscla . The Anglo-Saxon poem Widsith refers to the Wistla . The 12th-century Polish chronicler Wincenty Kadłubek Latinised the river's name as Vandalus , a form presumably influenced by Lithuanian vanduõ 'water'. Jan Długosz (1415–1480) in his Annales seu cronicae incliti regni Poloniae contextually points to

7171-461: 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

7272-401: 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

7373-486: 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

7474-534: The reign of Stephen Báthory Poland ruled two main Baltic Sea ports: Gdańsk controlling the Vistula river trade and Riga controlling the Western Dvina trade. Both cities were among the largest in the country. Around 70% the exports from Gdańsk were of grain. Grain was also the largest export commodity of the Polish–Lithuanian Commonwealth . The volume of traded grain can be considered

7575-491: The river Vistla (4.81, 4.97, 4.100). The root of the name Vistula is often thought to come from Proto-Indo-European * weys- : 'to ooze, flow slowly' (cf. Sanskrit अवेषन् avēṣan "they flowed", Old Norse veisa "slime"), and similar elements appear in many European river-names (e.g. Svislach (Berezina) , Svislach (Neman) , Weser , Viešinta ). In writing about the river and its peoples, Ptolemy uses Greek spelling: Ouistoula . Other ancient sources spell

7676-601: The river basin (right-hand to left-hand side) is 73–27%. The most recent glaciation of the Pleistocene epoch , which ended around 10,000 BC, is called the Vistulian glaciation or Weichselian glaciation in regard to north-central Europe. The river forms a wide delta called Żuławy Wiślane , or the "Vistula Fens" in English. The delta currently starts around Biała Góra near Sztum , about 50 km (31 mi) from

7777-606: The river basin ranges from 100 to 300 metres (328 to 984 feet) in altitude. The highest point of the river basin is at 2,655 metres (8,711 feet) (Gerlach Peak in the Tatra mountains ). One of the features of the river basin of the Vistula is its asymmetry—in great measure resulting from the tilting direction of the Central European Lowland toward the northwest, the direction of the flow of glacial waters, and considerable predisposition of its older base. The asymmetry of

7878-589: The river delta. During the Invasion of Poland (1939) , after the initial battles in Pomerelia , the remains of the Polish Army of Pomerania withdrew to the southern bank of the Vistula. After defending Toruń for several days, the army withdrew further south under pressure of the overall strained strategic situation, and took part in the main battle of Bzura . The Auschwitz complex of concentration camps

7979-564: The river was also important for the Baltic and German ( Prussian ) peoples. The Vistula has given its name to the last glacial period that occurred in northern Europe, approximately between 100,000 and 10,000 BC, the Weichselian glaciation . The name Vistula first appears in the written record of Pomponius Mela (3.33) in AD   40. Pliny in AD   77 in his Natural History names

8080-493: The river was one of the main trading arteries of Poland, and the castles that line its banks were highly prized possessions. Salt , timber , grain , and building stone were among goods shipped via that route between the 10th and 13th centuries. In the 14th century the lower Vistula was controlled by the Teutonic Knights Order, invited in 1226 by Konrad I of Masovia to help him fight the pagan Prussians on

8181-594: The river, stating "of the eastern nations, of the Polish east, from the brightness of the water the White Water...so named" ( Alba aqua ), perhaps referring to the White Little Vistula ( Biała Wisełka ). In the course of history the river has borne similar names in different languages: German: Weichsel ; Low German : Wießel ; Dutch : Wijsel [ˈʋɛisəl] ; Yiddish : ווייסל Yiddish pronunciation: [ˈvajsl̩] ; and Russian : Висла , romanized :  Visla . Vistula rises in

8282-540: The scientific paper Implications of SLR and further studies carried out by scientists attending Poland's Final International ASTRA Conference, and predictions stated by climate scientists at the climate change pre-summit in Copenhagen , it is highly likely most of the Vistula Delta region (which is below sea level ) will be flooded due to the sea level rise caused by climate change by 2100. The history of

8383-589: The second century AD, would describe the Vistula as the border between Germania and Sarmatia . Vistula River used to be connected to the Dnieper River , and thence to the Black Sea via the Augustów Canal , a technological marvel with numerous sluices contributing to its aesthetic appeal. It was the first waterway in Central Europe to provide a direct link between the two major rivers,

8484-405: 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

8585-519: The southern Silesian Voivodeship close to the tripoint involving the Czech Republic and Slovakia from two sources: Czarna ("Black") Wisełka at altitude 1,107 m (3,632 ft) and Biała ("White") Wisełka at altitude 1,080 m (3,540 ft). Both are on the western slope of Barania Góra in the Silesian Beskids in Poland. Vistula can be divided into three parts: upper, from its sources to Sandomierz ; central, from Sandomierz to

8686-474: 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

8787-451: 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

8888-440: 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

8989-517: 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

9090-501: 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

9191-612: The territory of interbellum Poland was drained northward into the Baltic Sea by the Vistula (total area of drainage basin of the Vistula within boundaries of the Second Polish Republic was 180,300 km (69,600 sq mi), the Niemen (51,600 km  [19,900 sq mi]), the Oder (46,700 km  [18,000 sq mi]) and the Daugava (10,400 km  [4,000 sq mi]). In 1920

9292-587: 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

9393-572: The year 1300: note much more water in the area, and the west end of the Vistula Lagoon (Frisches Haff) was bigger and nearly continuous with the Drausen See . As with some aggrading rivers, the lower Vistula has been subject to channel changing. Near the sea, the Vistula was diverted sideways by coastal sand as a result of longshore drift and split into an east-flowing branch (the Elbing (Elbląg) Vistula, Elbinger Weichsel, Szkarpawa, flows into

9494-466: 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

9595-431: 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

9696-596: Was at the confluence of the Vistula and the Soła rivers. Ashes of murdered Auschwitz victims were dumped into the river. During World War II prisoners of war from the Nazi Stalag XX-B camp were assigned to cut ice blocks from the River Vistula. The ice would then be transported by truck to the local beer houses. The 1944 Warsaw Uprising was planned with the expectation that the Soviet forces, who had arrived in

9797-628: 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

9898-788: Was known thereafter as the Dead Vistula (German: Tote Weichsel ; Polish: Martwa Wisła ). German states acquired complete control of the region in 1795–1812 (see: Partitions of Poland ), as well as during the World Wars, in 1914–1918 and 1939–1945. From 1867 to 1917, after the collapse of the January Uprising (1863–1865), the Russian tsarist administration called the Kingdom of Poland the Vistula Land . Almost 75% of

9999-464: 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

10100-457: Was settled by Slavs in the seventh and eighth century. Based on archeological and linguistic findings, it has been postulated that these settlers moved northward along the Vistula River. This however contradicts another hypothesis supported by some researchers saying the Veleti moved westward from the Vistula delta. A number of West Slavic Polish tribes formed small dominions beginning in

10201-506: 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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