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Geography (Ptolemy)
Geography (Ptolemy)
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The Geography (Ancient Greek: Γεωγραφικὴ Ὑφήγησις, Geōgraphikḕ Hyphḗgēsis, lit. "Geographical Guidance"), also known by its Latin names as the Geographia and the Cosmographia, is a gazetteer, an atlas, and a treatise on cartography, compiling the geographical knowledge of the 2nd-century Roman Empire. Originally written by Claudius Ptolemy in Greek at Alexandria around 150 AD, the work was a revision of a now-lost atlas by Marinus of Tyre using additional Roman and Persian gazetteers and new principles.[1]

Key Information

Its translation into Arabic by al-Khwarismi in the 9th century was highly influential on the geographical knowledge and cartographic traditions of the Islamic world. Alongside the works of Islamic scholars—and the commentary containing revised and more accurate data by Alfraganus—Ptolemy's work was subsequently highly influential on Medieval and Renaissance Europe.

Manuscripts

[edit]

Versions of Ptolemy's work in antiquity were probably proper atlases with attached maps, although some scholars believe that the references to maps in the text were later additions.

No Greek manuscript of the Geography survives from earlier than the 13th century.[2] However fragmentary papyri of later somewhat derivative works such as the Table of Noteworthy Cities have been found with the earliest, Rylands Library GP 522, dating to the early 3rd century.[3][4] A letter written by the Byzantine monk Maximus Planudes records that he searched for one for Chora Monastery in the summer of 1295;[5] one of the earliest surviving texts may have been one of those he then assembled.[6][7] In Europe, maps were sometimes redrawn using the coordinates provided by the text,[8] as Planudes was forced to do.[5] Later scribes and publishers could then copy these new maps, as Athanasius did for the emperor Andronicus II Palaeologus.[5] The three earliest surviving texts with maps are those from Constantinople (Istanbul) based on Planudes's work.[a]

A 3rd century papyrus fragment of Ptolemy's Table of Noteworthy Cities

The first Latin translation of these texts was made in 1406 or 1407 by Jacobus Angelus in Florence, Italy, under the name Geographia Claudii Ptolemaei.[15] It is not thought that his edition had maps,[16] although Manuel Chrysoloras had given Palla Strozzi a Greek copy of Planudes's maps in Florence in 1397.[17]

List of manuscripts
Repository and Collection Number Siglum[18] Date Maps Image
Vatican Library, Vat. Gr. 191[19] (f.128v-169v) X 12th-13th century No extant maps
Copenhagen University Library, Fragmentum Fabricianum Graecum 23[19] F 13th century Fragmentary; originally world and 26 regional
Vatican Library, Urbinas Graecus 82[19][20][21] U 13th century World and 26 regional
Istanbul Sultan's Library, Seragliensis 57[19] K 13th century World and 26 regional (poorly preserved)
Vatican Library, Vat. Gr. 177[19] V 13th century No extant maps
Laurentian Library, Plut. 28.49[19] O[22] 14th century Originally world, 1 Europe, 2 Asia, 1 Africa, 63 regional (65 maps extant)
Bibliothèque nationale de France, Gr. Supp. 119[19] C 14th century No extant maps
Vatican Library, Vat. Gr. 178[19] W 14th century No extant maps
British Library, Burney Gr. 111[19] T 14th-15th century Maps derived from Florence, Pluto 28.49
Bodleian Library, 3376 (46)-Qu. Catal. i (Greek), Cod. Seld. 41[19] N 15th century No extant maps
Vatican Library, Pal. Gr. 388[19] 15th century World and 63 regional No extant maps
Laurentian Library, Pluto 28.9 (and related manuscript 28.38)[19] 15th century No extant maps
Biblioteca Marciana, Gr. 516[19] R 15th century Originally world and 26 regional (world map, 2 maps, and 2 half maps missing)
Vatican Library, Pal. Gr. 314[19] Z 15th century No extant maps; written by Michael Apostolios in Crete
British Library, Harley MS 3686 15th century
Huntington Library, Wilton Codex[23] 15th century One world, ten of Europe, four of Africa, and twelve of Asia, elegantly coloured and illuminated with burnished gold.

Stemma

[edit]
Stemma codicum of the Geography.

Berggren & Jones (2000) place these manuscripts into a stemma whereby U, K, F and N are connected with the activities of Maximos Planudes (c.1255-1305). From a sister manuscript to UKFN descends R, V, W & C, however the maps were either copied defectively or not at all. "Of the greatest importance for the text of the Geography" they state is manuscript X (Vat.Gr.191); "because it is the only copy that is uninfluenced by the Byzantine revision." e.g. the 13th-14th century corrections of Planudes, possibly associated with recreating the maps.[18]

Regarding the maps, they conclude that it was unlikely that extant maps survived from which the above stemma descends, even if maps existed in antiquity:

"The transmission of Ptolemy's text certainly passed through a stage when the manuscripts were too small to contain the maps. Planudes and his assistants therefore probably had no pictorial models, and the success of their enterprise is proof that Ptolemy succeeded in his attempt to encode the map in words and numbers. The copies of the maps in later manuscripts and printed editions of the Geography were reproduced from Planudes' reconstructions."[24]

Mittenhuber (2010) further divides the stemma into two recensions of the original c.AD 150 lost work: Ξ and Ω (c.3rd/4th cent., lost).[22] Recension Ω contains most of the extant manuscripts and is subdivided into a further two groups: Δ and Π. Group Δ contains parchment manuscripts from the end of the thirteenth century, which are the earliest extant manuscripts of the Geography; these are U, K & F. Recension, Ξ, is represented by one codex only, X. Mittenhuber agrees with Berggren & Jones, stating that "The so-called Codex X is of particular significance, because it contains many local names and coordinates that differ from the other manuscripts ... which cannot be explained by mere errors in the tradition.". Although no manuscripts survive from earlier than the late 13th century; there are references to the existence of ancient codicies in late antiquity. One such example is in an epistle by Cassiodorus (c.560 A.D.):

“Tum, si vos notitiae nobilis cura inflammaverit, habetis Ptolemaei codicem, qui sic omnia loca evidenter expressit, ut eum cunctarum regionum paene incolam fuisse iudicetis. Eoque fit, ut uno loco positi, sicut monachos decet, animo percurratis, quod aliquorum peregrinatio plurimo labore collegit.”(Institutiones 1, 25)[22].

The existence of ancient recensions that differ fundamentally to the surviving manuscript tradition can be seen in the epitomes of Markianos by Stephanus:

"Καὶ ἄλλοι οὕτως διὰ του π Πρετανίδες νῆσοι, ὡς Μαρκιανὸς καὶ Πτολεμαῖος."[25][26]

The tradition preserved within the stemma of surviving (13th-14th century) manuscripts by Stückelberger & Grasshoff only preserves "Β" and not "Π" recentions of "Βρεττανικήσ".[27]

Contents

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The Geography consists of three sections, divided among 8 books. Book I is a treatise on cartography and chorography, describing the methods used to assemble and arrange Ptolemy's data. From Book II through the beginning of Book VII, a gazetteer provides longitude and latitude values for the world known to the ancient Romans (the "ecumene"). The rest of Book VII provides details on three projections to be used for the construction of a map of the world, varying in complexity and fidelity. Book VIII constitutes an atlas of regional maps. The maps include a recapitulation of some of the values given earlier in the work, which were intended to be used as captions to clarify the map's contents and maintain their accuracy during copying. Book 8 formed the basis for the Table of Noteworthy Cities.

Cartographical treatise

[edit]

Maps based on scientific principles had been made in Europe since the time of Eratosthenes in the 3rd century BC. Ptolemy improved the treatment of map projections.[28] He provided instructions on how to create his maps in the first section of the work.

Gazetteer

[edit]

The gazetteer section of Ptolemy's work provided latitude and longitude coordinates for all the places and geographical features in the work. Latitude was expressed in degrees of arc from the equator, the same system that is used now, though Ptolemy used fractions of a degree rather than minutes of arc.[29] His Prime Meridian, of 0 longitude, ran through the Fortunate Isles, the westernmost land recorded,[30] at around the position of El Hierro in the Canary Islands.[31] The maps spanned 180 degrees of longitude from the Fortunate Isles in the Atlantic to China.

Ptolemy was aware that Europe knew only about a quarter of the globe.[citation needed]

Atlas

[edit]

Ptolemy's work included a single large and less detailed world map and then separate and more detailed regional maps. The first Greek manuscripts compiled after Maximus Planudes's rediscovery of the text had as many as 64 regional maps.[b] The standard set in Western Europe came to be 26: 10 European maps, 4 African maps, and 12 Asian maps. As early as the 1420s, these canonical maps were complemented by extra-Ptolemaic regional maps depicting, e.g., Scandinavia.

Content

[edit]

The Geography is spread over 8 books with the main body of the work (books 2-7) is a list of some 8000 toponyms comprising the Oikumene of the second century AD. Book 1 is written in prose and is Ptolemy's explanation of the project, his method and his sources (mainly Marinos of Tyre). Book 8 offers descriptions for each of the maps created in books 2-7 and forms the basis of the Table of Noteworthy Cities. The critical edition was published by Stückelberger, Mittenhuber and Klöti (2006).[27]

Book 1

[edit]

Book 1 is a theoretical treatise by Ptolemy outlining the subject matter, previous work and instructing the reader how to draw a world map using his projection systems. The sections are, to use Ptolemy's original titles:[33]

  1. On the difference between world cartography and regional cartography
  2. On the prerequisites for world cartography
  3. How the number of stades in the earth's circumference can be obtained from the number of stades in an arbitrary rectilinear interval, and vice versa, even if [the interval] is not on a single meridian
  4. That it is necessary to give priority to the [astronomical] phenomena over [data] from records of travel
  5. That it is necessary to follow the most recent researches because of changes in the world over time
  6. On Marinos' guide to world cartography
  7. Revision of Marinos' latitudinal dimension of the known world on the basis of the [astronomical] phenomena
  8. The same revision [of the latitudinal dimension], on the basis of land journeys
  9. The same revision [of the latitudinal dimension], on the basis of sea journeys
  10. That one should not put the Aithiopians south of the parallel situated opposite to that through Meroe
  11. On the computations that Marinos improperly made for the longitudinal dimension of the oikoumene
  12. The revision of the longitudinal dimension of the known world on the basis of journeys by land
  13. The same revision [of the longitudinal dimension] on the basis of journeys by sea
  14. On the crossing from the Golden Peninsula to Kattigara
  15. On the inconsistencies in details of Marinos' exposition
  16. That certain matters escaped [Marinos'] notice in the boundaries of the provinces
  17. On the inconsistencies between [Marinos] and the reports ofour time
  18. On the inconvenience of Marinos' compilations for drawing a map of the oikoumene
  19. On the convenience of our catalogue for making a map
  20. On the disproportional nature of Marinos' geographical map
  21. On the things that should be preserved in a planar map
  22. On how one should make a map of the oikoumene on a globe
  23. List of the meridians and parallels to be included in the map
  24. Method of making a map of the oikoumene in the plane in proper proportionality with its configuration on the globe (In this section Ptolemy explains two methods for projecting his map)

Book 2

[edit]

Western Atlantic fringes, Gaul, Central Europe and the Iberian Peninsula.[34]

Chapter Region
Prologue
1 Britannia: Hibernia
2 Britannia: Albion
3 Hispanic Baetica
4 Hispanic Tarraconensis
5 Hispanic Lusitania
6 Aquitanian Gaul
7 Lugdunensian Gaul
8 Belgic Gaul
9 Narbonensian Gaul
10 Greater Germania
11 Raetia and Vindelica
12 Noricum
13 Upper Pannonia
14 Lower Pannonia
15 Illyria or Liburnia and Dalmatia

Book 3

[edit]

Italy, Greece and the major Mediterranean Islands.[34]

Chapter Region
1 Italy
2 Corsica
3 Sardinia
4 Sicily
5 Sarmatia
6 Tauric Peninsula
7 Iazyges Metanastae
8 Dacia
9 Upper Moesia
10 Lower Moesia
11 Thracia and the Peloponnesian Peninsula
12 Macedonia
13 Epirus
14 Achaia
15 Crete

Book 4

[edit]

North Africa from Morocco to Egypt and Ethiopia.[34]

Chapter Region
1 Mauritania Tingitana
2 Mauritania Caesariensis
3 Numidia and Africa proper
4 Cyrenaica
5 Marmarica, which is properly called Libya, All of Egypt, both Lower and Upper
6 Libya Interior
7 Ethiopia below Egypt
8 Ethiopia in the interior below this

Book 5

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Covering Anatolia, Asia Minor, the Middle East and Near East as well as Cyprus.[34]

Chapter Region
1 Bithynia and Pontus
2 Asia
3 Lycia
4 Pamphylia
5 Galatia
6 Cappadocia
7 Cilicia
8 Asiatic Sarmatia
9 Colchis
10 Iberia
11 Albania
12 Greater Armenia
13 Cyprus
14 Syria
15 Palestine
16 Arabia Petraea
17 Mesopotamia
18 Arabia Deserta
19 Babylonia

Book 6

[edit]

In book 6, Ptolemy covers the Near East, Caucuses and Central Asia.[35][27]

Chapter Region
1 Assyria
2 Media
3 Susiane
4 Persis
5 Parthia
6 Karmania
7 Eudaimon

Arabia

8 Karmianien
9 Hyrkanien
10 Margiane
11 Bactriane
12 Sogdianer
13 Saken
14 Skythia
15 Skythia
16 Serike
17 Areia
18 Paropanisaden
19 Drangiana
20 Archosien
21 Gedrosien

Book 7

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India, China, and Sri Lanka.[27][18]

Chapter Description
1 India before the Ganges
2 India beyond the Ganges
3 Land of Sinen
4 Taprobane
5 Summary caption of the map of the oikoumene
6 The mapping of a ringed globe with the oikoumene
7 Caption for the flattening [of the oikoumene]

Book 8

[edit]

Descriptions of the maps created by the previous sections with details of day length at solstice, etc. The gazetter of toponyms is thought to have formed the basis for the Table of Noteworthy Cities.[27]

Chapter Description
1 On the basis for dividing the oikoumene into the [regional] maps
2 Which things are appropriate to include in the caption for each map
3 Europe Map 1
4 Europe Map 2
5 Europe Map 3
6 Europe Map 4
7 Europe Map 5
8 Europe Map 6
9 Europe Map 7
10 Europe Map 8
11 Europe Map 9
12 Europe Map 10
13 Africa Map 1
14 Africa Map 2
15 Africa Map 3
16 Africa Map 4
17 Asia Map 1
18 Asia Map 2
19 Asia Map 3
20 Asia Map 4
21 Asia Map 5
22 Asia Map 6
23 Asia Map 7
24 Asia Map 8
25 Asia Map 9
26 Asia Map 10
27 Asia Map 11
28 Asia Map 12
29 Directory of the lands of the oikoumene
30 List of length and width of individual maps
[edit]

History

[edit]

Antiquity

[edit]

The original treatise by Marinus of Tyre that formed the basis of Ptolemy's Geography has been completely lost. A world map based on Ptolemy was displayed in Augustodunum (Autun, France) in late Roman times.[36] Pappus, writing at Alexandria in the 4th century, produced a commentary on Ptolemy's Geography and used it as the basis of his (now lost) Chorography of the Ecumene.[37] Later imperial writers and mathematicians, however, seem to have restricted themselves to commenting on Ptolemy's text, rather than improving upon it; surviving records actually show decreasing fidelity to real position.[37] Nevertheless, Byzantine scholars continued these geographical traditions throughout the Medieval period.[38]

Whereas previous Greco-Roman geographers such as Strabo and Pliny the Elder demonstrated a reluctance to rely on the contemporary accounts of sailors and merchants who plied distant areas of the Indian Ocean, Marinus and Ptolemy betray a much greater receptiveness to incorporating information received from them.[39] For instance, Grant Parker argues that it would be highly implausible for them to have constructed the Bay of Bengal as precisely as they did without the accounts of sailors.[39] When it comes to the account of the Golden Chersonese (i.e. Malay Peninsula) and the Magnus Sinus (i.e. Gulf of Thailand and South China Sea), Marinus and Ptolemy relied on the testimony of a Greek sailor named Alexandros, who claimed to have visited a far eastern site called "Cattigara" (most likely Oc Eo, Vietnam, the site of unearthed Antonine-era Roman goods and not far from the region of Jiaozhi in northern Vietnam where ancient Chinese sources claim several Roman embassies first landed in the 2nd and 3rd centuries).[40][41][42][43]

Medieval Islam

[edit]
The Amir of Bani Bu Ali tribe, the likely Bliulaie of Ptolemy's map.

Muslim cartographers were using copies of Ptolemy's Almagest and Geography by the 9th century.[44] At that time, in the court of the caliph al-Maʾmūm, al-Khwārazmī compiled his Book of the Depiction of the Earth (Kitab Surat al-Ard) which mimicked the Geography[45] in providing the coordinates for 545 cities and regional maps of the Nile, the Island of the Jewel, the Sea of Darkness, and the Sea of Azov.[45] A 1037 copy of these are the earliest extant maps from Islamic lands.[46] The text clearly states that al-Khwārazmī was working from an earlier map, although this could not have been an exact copy of Ptolemy's work: his Prime Meridian was 10° east of Ptolemy's, he adds some places, and his latitudes differ.[45] C.A. Nallino suggests that the work was not based on Ptolemy but on a derivative world map,[47] presumably in Syriac or Arabic.[45] The coloured map of al-Maʾmūm constructed by a team including al-Khwārazmī was described by the Persian encyclopædist al-Masʿūdī around 956 as superior to the maps of Marinus and Ptolemy,[48] probably indicating that it was built along similar mathematical principles.[49] It included 4530 cities and over 200 mountains.

Despite beginning to compile numerous gazetteers of places and coordinates indebted to Ptolemy,[50] Muslim scholars made almost no direct use of Ptolemy's principles in the maps which have survived.[44] Instead, they followed al-Khwārazmī's modifications and the orthogonal projection advocated by Suhrāb's early 10th-century treatise on the Marvels of the Seven Climes to the End of Habitation. Surviving maps from the medieval period were not done according to mathematical principles. The world map from the 11th-century Book of Curiosities is the earliest surviving map of the Muslim or Christian worlds to include a geographic coordinate system but the copyist seems to have not understood its purpose, starting it from the left using twice the intended scale and then (apparently realizing his mistake) giving up halfway through.[51] Its presence does strongly suggest the existence of earlier, now-lost maps which had been mathematically derived in the manner of Ptolemy,[46] al-Khwārazmi, or Suhrāb. There are surviving reports of such maps.[50]

Ptolemy's Geography was translated from Arabic into Latin at the court of King Roger II of Sicily in the 12th century AD.[52] However, no copy of that translation has survived.

Renaissance

[edit]

The Greek text of the Geography reached Florence from Constantinople in about 1400 and was translated into Latin by Jacobus Angelus of Scarperia around 1406.[15] The reception of the Geography in Latin Europe was diverse. In the first half of the 15th century, Florentine humanists used it mainly as a philological resource to understand the geography of ancient texts; Venetian cartographers attempted to reconcile Ptolemaic maps with portolan charts and medieval mappaemundi, and French and German scholars with an interest in astrology focused on Ptolemy's cosmographical concepts.[53] Over the second half of the century, the prestige of the Geography grew to become the necessary framework of any reflection on geographical space.[54]

The first printed edition with maps, published in 1477 in Bologna, was also the first printed book with engraved illustrations.[55][56] Many editions followed (more often using woodcut in the early days), some following traditional versions of the maps, and others updating them.[55] An edition published at Ulm in 1482 was the first one printed north of the Alps. It became a commercial success and was reprinted in 1486.[57] Also in 1482, Francesco Berlinghieri printed the first edition in vernacular Italian. The edition published in Strasbourg in 1513 was a major step in the modernization of the Geography. It preserved the corpus of Ptolemy's text and maps as faithfully as possible to the original while it provided a separate set of 20 more accurate and up-to-date modern maps.[58] A much improved Latin translation of the Greek original was produced by Willibald Pirckheimer for the 1525 Strasbourg edition, and the first printed edition directly in Greek was authored by Erasmus of Rotterdam in Basel in 1533.

Edition printed in Ulm in 1482

Ptolemy had mapped the whole world from the Fortunatae Insulae (Cape Verde[59] or Canary Islands) eastward to the eastern shore of the Magnus Sinus. This known portion of the world was comprised within 180 degrees. In his extreme east Ptolemy placed Serica (the Land of Silk), the Sinarum Situs (the Port of the Sinae), and the emporium of Cattigara. On the 1489 map of the world by Henricus Martellus, which was based on Ptolemy's work, Asia terminated in its southeastern point in a cape, the Cape of Cattigara. Cattigara was understood by Ptolemy to be a port on the Sinus Magnus, or Great Gulf, the actual Gulf of Thailand, at eight and a half degrees north of the Equator, on the coast of Cambodia, which is where he located it in his Canon of Famous Cities. It was the easternmost port reached by shipping trading from the Graeco-Roman world to the lands of the Far East.[60] In Ptolemy's later and better-known Geography, a scribal error was made and Cattigara was located at eight and a half degrees South of the Equator. On Ptolemaic maps, such as that of Martellus, Catigara was located on the easternmost shore of the Mare Indicum, 180 degrees East of the Cape St Vincent at, due to the scribal error, eight and a half degrees South of the Equator.[61]

Catigara is also shown at this location on Martin Waldseemüller's 1507 world map, which avowedly followed the tradition of Ptolemy. Ptolemy's information was thereby misinterpreted so that the coast of China, which should have been represented as part of the coast of eastern Asia, was falsely made to represent an eastern shore of the Indian Ocean. As a result, Ptolemy implied more land east of the 180th meridian and an ocean beyond. Marco Polo’s account of his travels in eastern Asia described lands and seaports on an eastern ocean apparently unknown to Ptolemy. Marco Polo’s narrative authorized the extensive additions to the Ptolemaic map shown on the 1492 globe of Martin Behaim. The fact that Ptolemy did not represent an eastern coast of Asia made it admissible for Behaim to extend that continent far to the east. Behaim’s globe placed Marco Polo’s Mangi and Cathay east of Ptolemy’s 180th meridian, and the Great Khan’s capital, Cambaluc (Beijing), on the 41st parallel of latitude at approximately 233 degrees East. Behaim allowed 60 degrees beyond Ptolemy’s 180 degrees for the mainland of Asia and 30 degrees more to the east coast of Cipangu (Japan). Cipangu and the mainland of Asia were thus placed only 90 and 120 degrees, respectively, west of the Canary Islands.

The Codex Seragliensis was used as the base of a new edition of the work in 2006.[14] This new edition was used to "decode" Ptolemy's coordinates of Books 2 and 3 by an interdisciplinary team of TU Berlin, presented in publications in 2010[62] and 2012.[63][64]

Influence on Christopher Columbus

[edit]

Christopher Columbus modified this geography further by using 53+23 Italian nautical miles as the length of a degree instead of the longer degree of Ptolemy, and by adopting Marinus of Tyre’s longitude of 225 degrees for the east coast of the Magnus Sinus. This resulted in a considerable eastward advancement of the longitudes given by Martin Behaim and other contemporaries of Columbus. By some process Columbus reasoned that the longitudes of eastern Asia and Cipangu respectively were about 270 and 300 degrees east, or 90 and 60 degrees west of the Canary Islands. He said that he had sailed 1100 leagues from the Canaries when he found Cuba in 1492. This was approximately where he thought the coast of eastern Asia would be found. On this basis of calculation he identified Hispaniola with Cipangu, which he had expected to find on the outward voyage at a distance of about 700 leagues from the Canaries. His later voyages resulted in further exploration of Cuba and in the discovery of South and Central America. At first South America, the Mundus Novus (New World) was considered to be a great island of continental proportions; but as a result of his fourth voyage, it was apparently considered to be identical with the great Upper India peninsula (India Superior) represented by Behaim – the Cape of Cattigara. This seems to be the best interpretation of the sketch map made by Alessandro Zorzi on the advice of Bartholomew Columbus (Christopher's brother) around 1506, which bears an inscription saying that according to the ancient geographer Marinus of Tyre and Christopher Columbus the distance from Cape St Vincent on the coast of Portugal to Cattigara on the peninsula of India Superior was 225 degrees, while according to Ptolemy the same distance was 180 degrees.[65]

Early modern Ottoman Empire

[edit]

Prior to the 16th century, knowledge of geography in the Ottoman Empire was limited in scope, with almost no access to the works of earlier Islamic scholars that superseded Ptolemy. His Geography would again be translated and updated with commentary into Arabic under Mehmed II, who commissioned works from Byzantine scholar George Amiroutzes in 1465 and the Florentine humanist Francesco Berlinghieri in 1481.[66][67]

Longitudes error and Earth size

[edit]

There are two related errors:[68]

  • Considering a sample of 80 cities amongst the 6345 listed by Ptolemy, those that are both identifiable and for which we can expect a better distance measurement since they were well known, there is a systematic overestimation of the longitude by a factor 1.428 with a high confidence (coefficient of determination r² = 0.9935). This error produces evident deformations in Ptolemy's world map most apparent for example in the profile of Italy, which is markedly stretched horizontally.
  • Ptolemy accepted that the known Ecumene spanned 180° of longitude, but instead of accepting Eratosthenes's estimate for the circumference of the Earth of 252,000 stadia, he shrinks it to 180,000 stadia, with a factor of 1.4 between the two figures.

This suggests Ptolemy rescaled his longitude data to fit with a figure of 180,000 stadia for the circumference of the Earth, which he described as a "general consensus".[68] Ptolemy rescaled experimentally obtained data in many of his works on geography, astrology, music, and optics.

[edit]

See also

[edit]

Notes

[edit]

Citations

[edit]
  1. ^ Berggren (2000).
  2. ^ Dilke (1987b), pp. 267–268.
  3. ^ Defaux, Olivier (2020-01-01). "Le Papyrus Rylands 522/523 et les tables de Ptolémée". Zeitschrift für Papyrologie und Epigraphik.
  4. ^ Defaux, Olivier (2017). The Iberian Peninsula in Ptolemy's Geography. Origins of the Coordinates and Textual History. Berlin: Edition Topoi. p. 124.
  5. ^ a b c Dilke (1987b), p. 268.
  6. ^ Biblioteca Apostolica Vaticana [The Apostolic Vatican Library]. Vat. Gr. 177. Late 13th century
  7. ^ Baigent, Elizabeth; Burri, Renate (2009). "The Rediscovery of Ptolemy's Geography (End of the Thirteenth to End of the Fifteenth Century)". Imago Mundi. 61 (1): 124–125. ISSN 0308-5694. JSTOR 40234225.
  8. ^ Milanesi (1996).
  9. ^ Biblioteca Apostolica Vaticana [The Apostolic Vatican Library]. Urbinas Graecus 82. Late 13th century
  10. ^ Universitetsbiblioteket [The University Library of Copenhagen]. Fragmentum Fabricianum Graecum 23. Late 13th century
  11. ^ The Sultan's Library in Istanbul. Codex Seragliensis GI 57. Late 13th century
  12. ^ Dilke (1987b), p. 269.
  13. ^ Diller (1940).
  14. ^ a b Stückelberger (2006).
  15. ^ a b Angelus (c. 1406).
  16. ^ Clemens (2008), p. 244.
  17. ^ Edson, Evelyn (2007-05-30). The World Map, 1300-1492: The Persistence of Tradition and Transformation. JHU Press. ISBN 978-0-8018-8589-1.
  18. ^ a b c Ptolemy; Berggren, J. Lennart; Jones, Alexander (2002). Ptolemy's Geography: An Annotated Translation of the Theoretical Chapters. Princeton University Press. pp. 41–5. ISBN 978-0-691-09259-1.
  19. ^ a b c d e f g h i j k l m n Oswald A. W. Dilke, "The Culmination of Greek Cartography in Ptolemy," in J. B. Harley and David Woodward, The History of Cartography, volume one. Cartography in Prehistoric, Ancient, and Medieval Europe and the Mediterranean. Chicago: The University of Chicago Press, 1987, pp. 177-200.
  20. ^ "Pinakes | Πίνακες - Notice : Vaticano, Città del Vaticano, Biblioteca Apostolica Vaticana (BAV), Urb. gr., 082". pinakes.irht.cnrs.fr. Retrieved 2025-05-06.
  21. ^ "DigiVatLib". digi.vatlib.it. Archived from the original on 2023-11-17. Retrieved 2025-05-06.
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References

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Further reading

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from Grokipedia
Geography (Greek: Geōgraphikḕ Hyphḗgēsis; Latin: Geographia), also known as the Geographia, is an 8-book on and composed around 150 AD by the Greco-Egyptian , , and geographer Claudius Ptolemy in , , during the . It serves as a comprehensive of the known world, providing latitude and longitude coordinates for approximately 8,000 localities across , (referred to as Libya), and , along with instructions for constructing maps using innovative projections. As the only surviving work on from , it systematically integrates geographical data from earlier sources like with Ptolemy's own astronomical observations to create a structured representation of the inhabited world (oikoumene). The work is divided into theoretical and practical sections: Book 1 outlines the principles of and mapmaking, including critiques of prior methods and descriptions of several projections—such as a modified rectangular projection and conical projections—to account for the Earth's on flat surfaces. Books 2 through 7 present detailed regional tables of coordinates, organized by continents and provinces, with longitudes measured eastward from the Fortunate Islands () and latitudes from the . Book 8 provides a survey of 26 regional maps, offering guidance on their compilation and use, though the original maps are lost and were reconstructed in later editions. 's coordinates, derived from itineraries, periploi (coastal surveys), and celestial fixes, reflect the extent of Roman knowledge, encompassing areas from the to and the , but include notable inaccuracies, such as depicting the as an open gulf. Ptolemy's Geography profoundly shaped cartographic traditions, remaining the authoritative text in the Islamic world and medieval until its rediscovery and translation into Latin in the early , after which it influenced mapmakers like those in the editions. Its emphasis on mathematical precision and coordinate-based plotting laid foundational principles for modern geography, despite reliance on second-hand data and the absence of direct exploration. The treatise not only cataloged places but also advanced the conceptual framework for representing the , distinguishing it from earlier descriptive geographies.

Background and Composition

Historical Context

Claudius Ptolemy (c. 100–170 CE), a prominent Greco-Roman scholar based in , , was a , , , and astrologer whose multifaceted contributions shaped ancient scientific thought. He is renowned for authoring the , a comprehensive astronomical treatise compiling and advancing Greek celestial models; the , a foundational work on linking celestial influences to terrestrial events; and the , his seminal cartographic text. Working amid the intellectual vibrancy of the , Ptolemy synthesized observational data and theoretical frameworks from earlier traditions, producing works that dominated scholarly discourse for over a millennium. Ptolemy composed the Geography in the mid-2nd century CE, likely around 150 CE, following the Almagest (completed after 147 CE) and drawing on contemporary astronomical observations to refine positional data. This dating aligns with references to celestial events, such as lunar eclipses used to calibrate longitudes—for instance, the eclipse of 331 BCE between Arbela and to establish a 45°10' separation—indicating Ptolemy's integration of recent empirical methods. The work emerged during the height of the under the Antonine emperors, whose stable rule from 96–180 CE facilitated extensive trade networks and military explorations, amassing geographical intelligence across vast territories. The Roman Empire's territorial expanse profoundly influenced the 's scope, encompassing known regions from the in the northwest—detailed with coordinates for sites like —to the Indus Valley in and even the distant Sinae (ancient ) in the east, reflecting silk trade routes and Parthian intermediaries. This imperial framework, peaking around 117 CE under , provided with itineraries from , provincial surveys, and maritime voyages, enabling a systematic of over 8,000 localities. Ptolemy built upon key predecessors to elevate geographical precision: (fl. c. 100 CE), whose recent compilations of routes and coordinates formed the Geography's backbone, though Ptolemy critiqued and corrected Marinus's overestimations of distances and eastern extensions; (c. 190–120 BCE), whose innovations in latitude-longitude grids and stellar projections informed Ptolemy's mathematical cartography; and (c. 276–194 BCE), whose measurement of (approximately 250,000 stadia) Ptolemy adjusted to 180,000 stadia based on refined astronomical data. These integrations transformed disparate travel reports and celestial fixes into a cohesive, coordinate-based , marking a pinnacle of Hellenistic-Roman geographical synthesis.

Purpose and Sources

Ptolemy's Geography, composed around 150 CE in , aimed to establish a precise, mathematically grounded representation of , or oikoumene, by compiling latitude and longitude coordinates for over 8,000 locations across , , and . This systematic approach sought to enable the construction of accurate world and regional maps, surpassing the qualitative descriptions and distorted depictions found in prior works by providing a quantitative framework for . By integrating geographical data with astronomical principles, Ptolemy intended the treatise to serve as a practical guide for mapmakers, emphasizing the correction of errors in earlier mappings to reflect the spherical nature of the more faithfully. The primary sources for Ptolemy's data were diverse, drawing heavily from the lost Chorographia of , a contemporary whose work Ptolemy critiqued for inaccuracies in distances and coordinates but nonetheless used as a foundational text, augmenting it with his own revisions. He incorporated itineraries and travel accounts from Roman traders, military expeditions, and explorers, such as reports of journeys to and the via the and maritime routes, converting travel times (e.g., days or months) into estimated distances in stadia. Astronomical observations, including those from for determining latitudes, supplemented these, while earlier literary sources like Strabo's Geography and Pliny the Elder's provided qualitative details on regions and peoples that Ptolemy quantified where possible. Innovative aspects of the included its explicit adoption of a model, building on and , to calculate positions relative to a passing through the Fortunate Islands (modern ) off the west coast of . This allowed Ptolemy to delineate the oikoumene as spanning approximately 180 degrees of longitude, from the westernmost Atlantic islands to the eastern reaches near Cattigara in , and approximately 79°25' of , from 63° N at in the north to 16°25' S at the Cinnamon Land south of . Such a represented a departure from zonal or descriptive mapping, enabling the projection of curved spherical features onto flat surfaces through methods like conical projections. Ptolemy acknowledged significant limitations in his knowledge, particularly beyond , where data grew sparse and unreliable, relying on secondhand reports or hearsay from distant traders about regions like and the lands around the Great Gulf. He noted the incompleteness of information for southern and eastern extremities, such as the unknown southern coast of or , admitting that coordinates for these areas were approximations prone to distortion due to the indirect nature of the sources. This candor highlighted the treatise's dependence on the Roman Empire's expanding but uneven geographical intelligence.

Textual Transmission

Manuscripts and Copies

The original Greek text of Ptolemy's Geography has not survived from antiquity, with no complete manuscripts predating the late 13th century CE. The earliest extant Greek copies stem from a rediscovery around 1300 CE by the Byzantine monk Maximos Planudes, who located a damaged exemplar in and initiated a program of copying and correction that produced several high-quality codices. Over 50 Greek manuscripts are known today, all descending from a single lost archetype likely dating to late antiquity, characterized by majuscule script and containing variations in place-name lists and map captions due to scribal errors and emendations. In parallel, the text was transmitted through translations beginning in the CE, with the mathematician al-Khwārizmī producing an influential adaptation known as Kitāb ṣūrat al-arḍ (Book of the Description of the Earth), which incorporated Ptolemy's coordinates in tabular form alongside some corrections based on contemporary data, though no full medieval translation of the itself survives intact. These Islamic versions often featured abridgments and additions, such as corrections to Ptolemy's measurements based on contemporary observations, reflecting adaptations for practical use in the Abbasid caliphate's scholarly circles. Latin translations emerged in the early , with Jacopo d'Angelo da Scarperia completing the first version in 1406–1409 from Byzantine Greek exemplars, dedicating it to and thereby facilitating its dissemination in . Byzantine recensions, particularly those associated with Planudes's workshop, represent notable editions that standardized the text and included reconstructed maps based on Ptolemy's descriptions, with key examples like the Urbinas Graecus 82 (ca. 1300) featuring 28 maps in a luxurious format. Overall, the surviving medieval copies—primarily in Greek, with significant adaptations and emerging Latin versions—number in the dozens for Greek alone, underscoring the work's enduring transmission despite textual instabilities.

Stemma and Editorial Challenges

The textual tradition of Ptolemy's Geography derives from a hypothetical , likely dating to the 3rd or CE (late antiquity), from which the surviving Greek manuscripts branch into distinct families primarily through medieval copying processes. The stemma codicum, as reconstructed in modern scholarship, identifies two main recensions among the Greek minuscules: the Δ recension (exemplified by key 13th-century manuscripts such as Vaticanus Urbinas gr. 82 [U], Laurentianus plut. 28.49 [K], and Parisinus gr. 1403 [F]) and the Π recension (including later copies like the 14th-century Vaticanus gr. 177 [V]). These families stem from a common source influenced by Byzantine scholarly activity, with no earlier Greek exemplars surviving due to the work's obscurity until its rediscovery in the 13th century. Significant variants across manuscripts include discrepancies in place names—often resulting from phonetic corruptions or regional adaptations—and coordinate values, with longitude shifts commonly ranging from 10° to 20° due to scribal errors in numerical transcription or misalignment during copying. For instance, locations in and exhibit systematic offsets in the Π recension compared to Δ, affecting positional accuracy by up to a quarter of the total longitudinal span of the oikoumene. Arabic translations and recensions, such as al-Khwarizmi's 9th-century version, introduce interpolations absent in the archetype, thereby expanding Ptolemy's framework with additional sites based on contemporary navigational data. Editorial efforts to reconstruct the original text began with Christian Gottlieb Nobbe's 1843–1845 edition, which collated 20 manuscripts and established a standardized numbering for the gazetteer's 8,000+ entries, remaining the reference for many subsequent works. Modern critical editions, such as Alfred Stückelberger and Gerd Graßhoff's 2006 Handbuch der Geographie, advance stemmatic analysis by prioritizing the Δ recension's fidelity to the archetype while cross-referencing Arabic and Latin versions to resolve ambiguities, resulting in a text with approximately 8,000 geographic coordinates deemed closest to Ptolemy's intent. Reconstructing the text faces persistent challenges, including lacunae in Books 2 and 8: Book 2's chapter on (2.11) lacks introductory descriptive prose in all extant manuscripts, preserving only fragmented coordinates that suggest post-archetypal loss, while Book 8's sections on cartographic projections contain gaps in procedural details, complicating map reconstructions. Suspicions of interpolations pervade the regional lists in Books 2–7, particularly in peripheral areas like and the , where post-Ptolemaic additions (e.g., via Arabic intermediaries) inflate toponym counts by 10–15% in some branches, requiring editors to employ philological criteria to excise non-original material. These issues underscore the reliance on indirect evidence from parallel Ptolemaic works, such as the Handy Tables, to infer authentic readings.

Overall Structure

Components of the Treatise

Ptolemy's Geography, composed around 150 CE, is structured into three primary components that integrate theoretical principles, empirical data, and practical applications for cartography. The first component, comprising Book 1, serves as the theoretical introduction, outlining the mathematical and astronomical foundations necessary for constructing maps, including discussions on , the division of the Earth's surface into parallels and meridians, and critiques of prior geographers like . This section establishes the conceptual framework for the work, emphasizing the use of a graticule of to represent positions accurately on a . The second and most extensive component consists of Books 2 through 7, which form the core of geographical data. This catalog lists approximately 8,000 localities, including cities, mountains, rivers, and other features, each assigned coordinates of expressed in degrees—measured eastward from a through the (Canary Islands) and northward or southward from the . The entries are systematically organized by Roman provinces and the three traditional continents: , (encompassing ), and , progressing generally from west to east and north to south within each region to facilitate orderly mapping. This format allows for the reconstruction of positional data into visual representations, prioritizing known inhabited areas over speculative extensions. The third component, Book 8, provides practical instructions for creating maps based on the preceding data, describing methods to project the spherical coordinates onto flat surfaces using two innovative schemes: a conical projection for regional maps and a modified for a . Accompanying this are specifications for 26 regional maps—covering specific areas like Iberia, the , and parts of —and one overarching , though these visuals are described in the text rather than drawn within the original treatise itself, leaving their execution to the reader or subsequent copyists. In terms of overall scope, the encompasses the known world (oikoumene) up to approximately 180°E , detailing , , and while incorporating climatic zones derived from astronomical observations—such as the around the , northern and southern temperate belts, and frigid zones toward the poles—to contextualize and environmental variation. This tripartite structure reflects Ptolemy's aim to synthesize mathematical rigor with descriptive geography, enabling both scholarly analysis and practical map production.

Gazetteer and Coordinates

The in Ptolemy's Geography represents a pioneering effort to systematically locate approximately 8,000 places and geographical features using a grid of coordinates, enabling precise plotting on maps. Latitudes are measured northward from the at 0° up to the at 90°, with the known inhabited (oikoumene) spanning roughly from 63°N at the Isle of to 16°25'S at the parallel of anti-Meroë. Longitudes extend eastward from 0° at the Fortunate Islands (modern ) to 180°, encompassing the Eurasian landmass and parts of without assuming a complete global circuit. This system, expressed in degrees and minutes (with 60 minutes per degree), provides precision to the nearest arcminute, facilitating the compilation of data from diverse sources. Coordinates were derived primarily from astronomical observations for latitudes—such as shadows at solstices or the length of the longest day—and estimated longitudinal differences based on travel itineraries converted to angular measures using a standard of 500 stadia per degree of at the . This methodology, while innovative, introduced systematic errors; for instance, longitudes often appear compressed by about 20-30% due to underestimation of distances in remote areas, and the overall east-west span of the oikoumene was adjusted to fit within 180° for symmetry. Representative examples include , placed at approximately 31°N, 31°E, which served as a key reference point derived from local astronomical data, and at 41°N, 23°30'E from the (modern at approx. 41°54'N, 12°29'E from Greenwich, reflecting Ptolemy's compression of European longitudes). Another notable inaccuracy is the placement of Britain, with northern reaches (e.g., ) rotated clockwise and shifted eastward by up to 15° , likely resulting from misaligned coastal itineraries and limited direct observations. The is organized hierarchically by across Books 2–7, beginning with major cities and their coordinates, followed by subordinate features such as rivers, mountains, and capes listed in sequence with latitudes and longitudes to define boundaries and internal structures. Denser coverage appears in well-known areas like and Asia Minor, with about 3,000 entries detailing urban centers, hydrographic networks, and orographic elements, while outer regions such as or eastern receive fewer, more generalized placements due to sparse data. This structure not only supported cartographic reconstruction but also emphasized the gazetteer's utility as a reference for navigators and administrators, prioritizing positional accuracy over exhaustive .

Book Summaries

Book 1: Mathematical Foundations

Book 1 of Ptolemy's Geography lays the theoretical groundwork for the treatise by delineating the principles of cartographic representation and the mathematical methods required to depict accurately. Ptolemy distinguishes from , defining the former as a graphic representation of the entire inhabited world (oikoumene) through lines and angles that capture its relative positions and magnitudes, while focuses on the particular features of smaller regions without emphasizing proportional scales. This distinction underscores 's reliance on a systematic coordinate framework derived from astronomical observations, building on the work of to ensure positions are plotted using in degrees. The oikoumene is described as spanning approximately 180° in longitude, from the prime meridian at the Fortunate Islands (modern ) eastward to the easternmost reaches near Cattigara in , allowing it to fit within a quarter of the Earth's surface. In latitude, it extends from the parallel of at 63°N in the north to the parallel of Anti-Meroë at 16°25'S in the south, encompassing the known inhabited lands while excluding uninhabitable polar and equatorial zones. selects the Fortunate Islands as the prime meridian because they represent the westernmost known land, providing a practical reference for measuring longitudes eastward along the equator or parallels. To determine positions, Ptolemy employs , adapting Hipparchus's techniques to calculate from the sun's or stars' maximum altitudes and longitudes from time differences in celestial events, ensuring coordinates reflect true . Distances between places are computed as arcs along great circles, the shortest paths on , though for practical mapping he converts these into degrees using a standard of 500 stadia per degree of along meridians. The Earth's circumference is thus estimated at 180,000 stadia, a value adopted from that underestimates Eratosthenes's earlier measurement of 252,000 stadia by about 29%, leading to compressed longitudinal scales in subsequent books. Ptolemy describes the use of an as a tool for visualizing the terrestrial within the celestial framework, aiding in the projection of spherical data onto plane surfaces without numerical equations but through qualitative geometric rules. These rules emphasize meridians as straight lines converging at the poles and parallels as concentric , preserving proportional distances along key parallels like that of for readability. This descriptive geometry provides the foundation for applying these principles to regional mappings in later books, ensuring consistency in scale and orientation.

Books 2–7: Regional Geography

Books 2–7 of Ptolemy's Geography form the treatise's extensive gazetteer, cataloging approximately 8,000 localities across the inhabited world (oikoumene) with their corresponding latitude and longitude coordinates to enable the plotting of regional maps. These books systematically describe places in a hierarchical structure, starting with major provinces and subdivisions, followed by cities, towns, capes, river mouths, mountains, and ethnic settlements, drawing on sources such as Marinus of Tyre's earlier compilations and Roman itineraries. The regional organization progresses logically from west to east and north to south, prioritizing inhabited areas within the Roman Empire while extending to peripheral and less-known territories based on traveler reports and astronomical observations. Book 2 details western and central Europe, encompassing regions like the (), (including Aquitania and Lugdunensis), and Germanic areas along the and upper , as well as . It lists coordinates for hundreds of settlements, such as (modern ) at 23°15', 45°20', and natural features including the mountains and the Garumna () River. The hierarchy emphasizes Roman administrative divisions, with inland tribes noted alongside coastal ports to reflect the empire's extent. Book 3 shifts to northern and eastern Europe, covering the (Britain), (including promontories like Lindesnes), Sarmatian territories east of the , , and adjacent islands such as and . Notable entries include the mythical island of , positioned at 63° N as the northern limit of the world, and coordinates for cities like () at 20°, 54° N relative to Ptolemy's through the . Rivers like the Thames and mountain ranges in the are integrated, with the text highlighting ethnic groups such as the Caledonii in northern Britain to convey both and . Book 4 addresses , Ptolemy's term for the African continent, progressing from the western coastal regions () through the Valley and into interior and the . Key descriptions include the River's course from its sources near the to its delta at (31°, 60°30'), and provinces like Marmarica and Libya Interioris, with coordinates for oases and trading posts such as . The hierarchy organizes features by coastal strips before inland deserts and mountains, incorporating reports of sub-Saharan peoples and the River's mouth, though with limited inland penetration due to source scarcity. Book 5 examines Asia Minor and the , detailing provinces from and Asia to , , , and (including Susiana and Persis). Examples encompass Antioch in at approximately 70°20', 33°20', and mountain chains like the Taurus, alongside rivers such as the . The structure follows a provincial sequence, listing metropolitan cities first, then subordinate towns and nomadic tribes in , reflecting Hellenistic and Roman administrative boundaries while noting trade routes to the . Book 6 covers central and southern , including the remnants of the former Persian Empire (Media, ), the Sacae nomads, beyond the Iaxartes River, and the Indus Valley up to the . Coordinates are provided for sites like the Caspian Gates at 94°, 37° and the Seres (Chinese) territories at the eastern edge, with rivers such as the Indus and Oxus described in their courses and tributaries. The text employs ethnic hierarchies for nomadic groups and emphasizes riverine and mountainous barriers, drawing on Alexander's campaigns and accounts for broader coverage. Book 7 concludes with the , offering sparser details on intra Gangem, the (), and (), with coordinates spanning approximately 125° to 166° and latitudes from about 0° to 24° S (depicting it in distorted form). It includes the and vague outlines of the Huang He River, with limited coordinates for ports like Barygaza (Bharukaccha) and the Aurea Chersonesus (). The hierarchy prioritizes coastal features and trade hubs, acknowledging the region's remoteness through secondhand merchant narratives, before summarizing the entire oikoumene for integration. Across these books, common elements include precise coordinate pairs (e.g., degrees and minutes from the and ) for over 8,000 features, enabling proportional scaling on maps; river courses traced from sources to seas; mountain ranges outlined as regional dividers; and a consistent focus on utility for and administration rather than exhaustive . This descriptive framework, while innovative for its time, relies on a mix of direct observations and inherited data, resulting in some distortions in peripheral areas.

Book 8: Cartographic Projections

Book 8 of Ptolemy's Geography outlines practical methods for transforming the latitude and longitude coordinates compiled in the into visual maps, emphasizing the construction of both regional and world representations of the oikoumene. It provides detailed instructions for creating 26 regional maps—divided into 10 for , 4 for (Africa), and 12 for —alongside one overarching , without including any actual illustrations in the original text. These maps are derived from the gazetteer data, with Ptolemy focusing on preserving proportional distances, particularly along key parallels like that of , to maintain geographical accuracy on a flat surface. For the regional maps, Ptolemy employs a simple cylindrical projection, where meridians and parallels are represented as orthogonal straight lines, facilitating straightforward plotting of coordinates within defined boundaries. Each regional map includes a central parallel and meridian scaled according to specific ratios tailored to the area's extent, such as adjusting the north-south to east-west proportions to fit the oikoumene's mid-latitudes without excessive distortion. Accompanying tables in Book 8 supply precomputed values for these ratios and grid coordinates, enabling cartographers to mark positions using the gazetteer's points. This approach prioritizes utility for smaller areas, where the cylindrical method minimizes angular distortions compared to broader projections. The utilizes a , specifically the first of three projection types described, in which meridians converge as straight lines toward a northern reference point, while circles are drawn as concentric circular arcs centered on that point. This technique, akin to a simple to the at the parallel of (approximately 36°N), aims to replicate the spherical curvature on a plane, with the oikoumene projected as if viewed from above the . provides a table of chord values—derived from trigonometric principles in his —to calculate the spacing and curvature of these arcs at intervals of five degrees, ensuring even distribution across latitudes from the to the northern limits. However, this projection introduces distortions, particularly in the polar regions where east-west distances expand and shapes elongate away from the standard parallel. Ptolemy briefly mentions two additional projections: a second, more complex method using circular arcs for both meridians and parallels to better approximate conic forms across the entire oikoumene, and a third perspective projection that visualizes the world as seen from a distant viewpoint above the , though the latter is presented as theoretical rather than practical for mapmaking. These innovations mark an early systematic effort to address the challenges of spherical-to-planar representation, influencing subsequent cartographic traditions by providing algorithmic guidance rather than empirical sketches. The absence of drawn maps underscores 's intent for readers to generate their own using the provided mathematical tools and tables.

Reception and Influence

Antiquity and Early Medieval Period

In late antiquity, Ptolemy's Geography was referenced by several Roman authors and integrated into scholarly discourse, reflecting its status as a foundational text for understanding the known world. The historian Paulus Orosius (c. 375–418 CE), in his Historiae Adversus Paganos, drew upon Ptolemaic coordinates and descriptions to structure his geographical overview, adapting them to frame a Christian historical narrative while preserving elements of Ptolemy's systematic approach to latitudes and longitudes. Similarly, Macrobius (c. 400 CE), in his Commentarii in Somnium Scipionis, discussed astronomical geography and zonal divisions of the Earth that echoed Ptolemaic principles, though without direct citation, influencing subsequent zonal maps in late Roman intellectual circles. The work was employed in elite education, particularly in Alexandria and Rome, where it served as a model for mathematical geography, but its maps—requiring manual construction from coordinates—were rarely reproduced beyond scholarly manuscripts, limiting broader dissemination. Evidence suggests possible practical applications in Roman military planning; Ptolemy's detailed coordinates for Britain, including forts and roads like the Gartree and Stane Street, align closely with Roman survey data from itineraries such as the Antonine Itinerary, indicating that military engineers' triangulation measurements, conducted up to the Antonine period (c. 140–180 CE), informed his gazetteer. Following the decline of the after the , Ptolemy's Geography fell into obscurity in amid the disruptions of invasions and the collapse of centralized learning institutions. No complete Greek manuscripts survive from before the 13th century, and the text's transmission relied on fragmented quotations in later compilations. In the Byzantine East, however, excerpts persisted; two anonymous 9th-century geographical works, the Geographos and the Periegesis tou Kosmou, adapted Ptolemaic place-names and coordinates, incorporating them into broader ethnographic descriptions of the oikoumene. This partial preservation highlights the work's endurance in Eastern scholarly traditions, even as its full scope waned with the shift toward more localized knowledge systems. In the early medieval West, knowledge of Ptolemy's Geography survived only through limited Latin excerpts and indirect references, with no complete version available until the 15th century. Authors like (c. 560–636 CE) alluded to Ptolemaic concepts in but prioritized biblical and classical syntheses over systematic cartography. The text was overshadowed by Christian cosmography, exemplified by T-O world maps that emphasized theological symmetry—Jerusalem at the center, with the world divided into , , and as symbolic zones of salvation history—rather than Ptolemy's empirical coordinates. These mappae mundi, influenced by works like those of , reflected a worldview where geography served divine narrative, marginalizing secular mathematical approaches. By the , amid the cultural upheavals following the fall of , the Geography had effectively disappeared from European circulation, surviving primarily in the Islamic world where it was translated and expanded in the .

Islamic World Contributions

During the Abbasid Caliphate, Ptolemy's Geography was preserved and adapted through key translations that integrated it into Islamic scholarly traditions. The most significant was the ninth-century Arabic rendition by the mathematician Muhammad ibn Musa al-Khwarizmi, completed around 833 CE as Kitab Surat al-Ard (The Image of the Earth), which not only translated Ptolemy's coordinate-based gazetteer but also introduced corrections to inaccuracies, such as reducing the estimated length of the Mediterranean Sea from Ptolemy's 63 degrees to approximately 50 degrees for greater alignment with observational data. This work utilized a rectangular map projection, simplifying Ptolemy's more complex conical and pseudoconic methods while shifting the prime meridian eastward from Ptolemy's reference at the Fortunate Islands to the eastern shore of the Mediterranean, thereby centering the Islamic world in the cartographic framework. Syriac versions, emerging from Nestorian and Monophysite communities in the eighth century, served as intermediaries for some Greek-to-Arabic transmissions, though they were less comprehensive than al-Khwarizmi's adaptation. Islamic scholars built upon this foundation with enhancements drawn from travel, astronomy, and local knowledge, refining Ptolemy's Eurocentric descriptions to better reflect the expanse of the known world. Al-Mas'udi (d. 956 CE), in his encyclopedic Muruj al-Dhahab wa Ma'adin al-Jawhar (Meadows of Gold and Mines of Gems), incorporated Ptolemaic coordinates while adding detailed ethnographic and hydrographic accounts from his journeys across Persia, , and , critiquing Ptolemy's underestimation of southern latitudes and providing more accurate delineations of river systems like the . Similarly, Ibn Hawqal (d. ca. 978 CE), a follower of the Balkhi school, advanced mappings of the in Surat al-Ard (Picture of the ), building on Ptolemy's framework but informed by merchant routes and portolan charts that extended knowledge to the and beyond. Al-Idrisi (d. 1165 CE) further synthesized these developments in Nuzhat al-Mushtaq fi Ikhtiraq al-Afaq (The Book of Roger), commissioned by , where he merged Ptolemy's latitudinal bands with Arabic itineraries to produce the Tabula Rogeriana, a silver and 70 sectional charts emphasizing climate zones and trade corridors across and . These adaptations profoundly shaped Islamic cartography, serving as a for administrative and navigational practices under the Abbasids. Al-Khwarizmi's rectangular projections became standard in regional maps, facilitating the Abbasid postal system (barid) and tax assessments by providing precise coordinates for over 2,400 localities, which caliphal officials used to manage vast territories from to the frontiers. Key figures like (d. 934 CE), who founded the Balkhi school of cartography, adapted Ptolemy's framework in Suwar al-Aqalim (Figures of the Regions) by prioritizing political boundaries and climatic divisions over strict latitudinal grids, producing 20 thematic maps that emphasized the Islamic oikoumene and influenced successors like al-Istakhri and Ibn Hawqal. This tradition later transmitted Ptolemy's enhanced legacy to through , where scholars in Cordoba and Toledo translated Arabic geographical texts, paving the way for Latin versions in the twelfth century.

Renaissance and Early Modern Europe

The rediscovery of Ptolemy's Geography in Western Europe began in the early 15th century when a Greek manuscript, obtained from Constantinople around 1400 by the Florentine scholar and patron Palla Strozzi, was brought to Florence. This manuscript, part of the 'A' recension with 26 maps, prompted Strozzi to commission its translation into Latin, completed in 1406 by Jacopo d'Angelo (Jacobus Angelus) under the guidance of the Byzantine scholar Manuel Chrysoloras. The translation marked a pivotal moment in the revival of classical cartography, as it made Ptolemy's coordinate-based system accessible to Latin-speaking humanists and integrated it into the burgeoning Renaissance interest in ancient texts. The first printed editions of the appeared in the late 15th century, accelerating its dissemination across . The inaugural illustrated printing occurred in in 1477, featuring copperplate engravings of maps, followed by the 1482 edition—the first north of the —which used maps and reached a broader German-speaking audience. A subsequent Roman edition in 1482, based on earlier Italian printings, refined the engravings and included commentaries that highlighted Ptolemy's mathematical projections. By , approximately 38 editions had been published, often with updated maps blending Ptolemaic data and contemporary discoveries, making the work a of European printing and scholarly exchange. Ptolemy's Geography profoundly shaped , influencing the evolution from medieval portolan charts—focused on coastal —toward more systematic, graticule-based representations that incorporated . However, its geographical errors, such as the underestimation of Earth's circumference and the eastward extension of , contributed to navigational miscalculations; for instance, relied on these distortions to argue for a shorter westward route to , inadvertently leading to the European encounter with the . Key figures advanced the text's accuracy: the astronomer (Johannes Müller) provided critical notes on the Greek original in the late , aiding later Latin editions like Willibald Pirckheimer's 1525 version, while Gerardus Mercator's 1578 edition introduced extensive corrections to coordinates and projections, reconciling Ptolemaic theory with post-Columbian explorations.

Ottoman Empire Applications

The adoption of Ptolemy's Geography in the began prominently with the renowned cartographer , whose 1513 world map integrated Ptolemaic coordinates alongside contemporary Turkish observations and other sources to depict known regions with enhanced accuracy for imperial purposes. explicitly referenced eight Ptolemaic maps among his twenty source materials, which included portolan charts and Portuguese nautical data, allowing him to synthesize ancient Greco-Roman geographical frameworks with Ottoman maritime intelligence to portray the Atlantic, Mediterranean, and portions of the Americas. This map, presented to Sultan following the conquest of , exemplified early Ottoman efforts to adapt Ptolemy's latitudinal and longitudinal system for practical expansion, marking a key instance of the treatise's influence on Turkish cartographic innovation. Ottoman manuscripts of Ptolemy's Geography proliferated in during the 15th and 16th centuries, often featuring annotations that localized the ancient data to contemporary imperial contexts and integrated it into broader mappae mundi traditions. A pivotal example is the 1465 Arabic translation commissioned by , executed by the Greek scholar George Amiroutzes and his son, which preserved Ptolemy's while incorporating Ottoman territorial updates; surviving copies, including those with illustrated maps, are housed in libraries and reflect scholarly annotations on regional adjustments for the empire's domains. These manuscripts facilitated the treatise's incorporation into Ottoman world maps, such as those in the Kitab-ı Bahriye, where Ptolemaic projections were overlaid with Islamic geographical insights to create comprehensive views of the known world centered on . In practical applications, Ptolemy's supported Ottoman navigation across the Indian Ocean trade routes, where its coordinate-based descriptions of ports, winds, and coastal features informed admiralty decisions during the 16th-century expansions into the and . For military purposes, the work aided surveys in the and Arabia, with Ottoman engineers using Ptolemaic locational data to map fortifications and supply lines during campaigns against Venetian holdings and in the Hijaz, blending ancient toponyms with on-site measurements to enhance . Evolutions in Ottoman cartography during the 16th century further refined Ptolemy's framework through scholarly editions and hybrid techniques, notably in works that merged the treatise's mathematical projections with portolan chart conventions for more navigable representations. Although direct editions attributed to Ali al-Qushji focus more on astronomical critiques, broader 16th-century Ottoman adaptations, such as those in Piri Reis's later compilations, incorporated updated latitudinal grids from Ptolemaic sources onto portolan-style charts, enabling precise rhumb-line sailing while correcting ancient distortions for Mediterranean and Indian Ocean voyages. This synthesis, evident in Istanbul-produced nautical atlases, underscored the empire's pragmatic evolution of Ptolemy's system to align with empirical seafaring traditions.

Scientific Evaluation

Longitude and Distance Errors

Ptolemy's longitudes in the Geography display a systematic eastward bias, most pronounced in Asia, where positions are consistently displaced 20–30° farther east than their modern equivalents. For instance, the eastern extent of (referred to as Seres) is plotted at roughly 160° east of the , compared to an actual longitude of about 120° east from a similar reference. This distortion results from overestimations in land itineraries, which formed the primary basis for calculating longitudes by converting travel distances into angular measures along parallels. These longitude inaccuracies contribute to broader distance errors, with the east-west span of the oikoumene exaggerated by approximately 25% through the accumulation of chained route measurements. The resulting total width is thus overstated relative to the actual extent derived from contemporary geographic knowledge. relied heavily on wheeled odometers for terrestrial s—devices that tallied revolutions to estimate miles but were prone to slippage and uneven terrain effects—and on sailor itineraries for coastal and sea routes, which provided rough day-sail estimates without reliable directional fixes. A representative example is the positioning of , shifted eastward by around 20° overall, reflecting inflated reports from overland trade paths through . The absence of sea-based methods, such as lunar observations, forced to project distances assuming straight-line travel along latitudes, amplifying errors in remote regions. While these positional flaws interact with 's smaller estimate of the , the core issues trace to the limitations of his source materials.

Earth's Size Estimation

Ptolemy estimated the Earth's circumference at 180,000 stadia, a figure significantly smaller than ' earlier calculation of 252,000 stadia. This value implied an equatorial degree of 500 stadia, rather than the approximately 700 stadia derived from ' work. arrived at this estimate by adopting Posidonius's revised value of 180,000 stadia, derived from astronomical observations such as the position of the star , and adjusted to fit his longitudinal framework in Geography Book 1, Chapter 11, including the width of the set at 15,000 stadia based on mariner reports. The method drew from Posidonius's prior estimate of 240,000 stadia for the Earth's circumference, which was reduced by approximately 25% through reinterpretation of observational data. In the Almagest (Syntaxis, Book 1), Ptolemy analyzed observations including a lunar eclipse visible at different longitudes with a 12-hour time difference (e.g., between Alexandria and Babylon), which informed relative longitudes but aligned with the smaller Earth size. This astronomical adjustment was then applied to geographical coordinates, compressing the inhabited world (oikoumene) into a longitudinal span of about 180 degrees. The reduced Earth size resulted in a compressed , where longitudinal distances were systematically shortened, making appear unduly narrow relative to its actual extent. This distortion implied that the distance from to the eastern reaches of was far less than reality, a misconception that later influenced European exploration routes by suggesting a shorter westward passage to the Indies. Debate persists over the exact length of the stadion unit employed by Ptolemy, contributing to an overall underestimation of Earth's size by 12 to 17 percent when compared to modern measurements. Scholars propose values ranging from 157.5 meters (aligning with Eratosthenes' Egyptian stadion) to 185 meters (a longer itinerary-based unit), with the choice affecting the conversion to modern kilometers—yielding roughly 28,000 to 33,000 km for Ptolemy's circumference versus the actual 40,075 km. Regardless of the unit, Ptolemy's scale error amplified east-west distortions in his maps, though it stemmed from consistent application of his chosen parameters.

Modern Scholarly Reassessments

Modern scholars have reassessed the accuracy of Ptolemy's Geography through quantitative analyses and comparisons with archaeological data, determining that errors in coordinates are predominantly systematic, arising from methodological limitations such as cumulative overestimation and inherited data from predecessors like . For instance, longitudes are consistently inflated eastward, stretching by up to 50% in extent, but this pattern allows for corrections that align many sites with modern positions. Archaeological verifications confirm that a substantial number of coordinates, particularly for Roman-era sites in the Mediterranean and (e.g., , , and key ports), match known locations with deviations often under 1° in and 2° in after adjustments for ancient observational errors like and timekeeping inaccuracies. Digital humanities initiatives have enabled comprehensive reconstructions using GIS tools, facilitating the mapping and validation of Ptolemy's over 8,000 coordinates. The project, a collaborative of ancient places, integrates Ptolemy's data with archaeological and textual evidence to geolocate thousands of sites, revealing patterns of precision in well-traveled regions like the while highlighting gaps elsewhere. Complementary efforts, such as the " of Ptolemy" project, employ and Bayesian statistical methods to georeference more than 400 East African localities (e.g., aligning Cape Prason with Ras Siyyan), demonstrating regional accuracies improved by of shorelines and rivers. Additionally, 3D visualizations of Ptolemy's cartographic projections, like those in the Thinking 3D initiative, model spherical distortions interactively, aiding understanding of how conical and orthographic methods warped the oikoumene. Recent scholarship, including iterative GIS reconstructions of (as of 2025), further explores hidden Hellenistic knowledge in Ptolemy's data while reaffirming Marinus of Tyre's influence, such as in adopting equirectangular projections. Critiques emphasize the work's Greco-Roman (Mediterranean-)centric perspective, which disproportionately emphasizes and the while underrepresenting and interior due to limited exploratory data, resulting in schematic depictions like a landlocked . Though foundational for coordinate-based , by 2025 standards, Geography is viewed as outdated, with its biases reflecting imperial knowledge horizons rather than comprehensive global coverage. Scholars debate whether certain distortions, like symmetrical elongations in peripheral regions, were intentional aesthetic choices for harmony or inadvertent artifacts of data compilation.

Visual and Interpretive Aids

Historical Maps and Illustrations

In medieval Arabic editions of Ptolemy's Geography, cartographers adapted the original Greek text into works like al-Khwārazmī's Kitāb Ṣūrat al-Arḍ (Book of the Image of the Earth), produced around 830 CE, which featured rectangular world maps based on a structured grid to better align with Islamic geographical knowledge. These maps listed coordinates for 2,402 localities, emphasizing a structured grid that extended Ptolemy's framework while incorporating contemporary data from Muslim territories. Manuscripts of such editions often included hand-drawn regional maps of the Islamic world, rendered in ink and watercolor on paper, reflecting a blend of Ptolemaic projections with local observations. During the Renaissance, printed editions brought Ptolemy's maps to wider audiences through innovative techniques. The 1482 Ulm edition, published by Lienhart Holle, was the first north of the and featured 31 woodcut maps—27 Ptolemaic (including a and 26 regional ones) and 4 modern additions—hand-colored in vibrant hues of green, blue, and red to denote land, sea, and mountains. Similarly, the 1513 edition, edited by and printed by Johann Schott, utilized illustrations for its 47 maps (20 modern additions alongside Ptolemaic ones), showcasing finer details in and coastlines achieved through skilled block-cutting. Notable examples from these historical visuals include the in the edition, which depicted an expansive unknown southern landmass connecting and , symbolizing speculative extensions of the known world beyond the . Regional maps of , such as those of Germania or Hispania in the Strasbourg edition, illustrated cities and rivers with stylized rivers and forests, capturing the era's artistic interpretation of ancient coordinates. Artistic styles in Ptolemy's manuscripts and early prints emphasized symbolic and decorative elements to enhance readability and aesthetic appeal. Miniature illustrations in Latin and Greek codices, like the 15th-century Codex Ebnerianus, employed delicate penwork and to portray coastal outlines and inland features in a compact, illuminated format. Symbolic motifs, such as personified winds depicted as human heads exhaling streams of air around map borders, appeared prominently in editions like the 1513 , representing the twelve classical winds (e.g., in the north) to convey directional and climatic influences. These elements, often framed by ornate compass roses or vignettes of mythical figures, underscored the blend of scientific projection and medieval .

Modern Reconstructions and Galleries

In the 20th and 21st centuries, scholars have produced detailed reconstructions of Ptolemy's maps by compiling and correcting the geographical coordinates from surviving manuscripts of the Geography. A seminal effort is the 2006 critical edition by Alfred Stückelberger and Gerd Graßhoff, which analyzes over 8,000 coordinates from key sources like the 9th-century Graecus 191 and presents them in a digital database for accurate projection onto modern cartographic frameworks, revealing Ptolemy's systematic errors in while preserving his original conical and modified azimuthal projections. This edition includes reconstructed regional maps of , , and , emphasizing the oikoumene (inhabited world) as a bounded landmass extending from the to the . Earlier 20th-century work, such as the 1998 annotated translation by Gerald J. Toomer, facilitated these efforts by clarifying Ptolemy's theoretical chapters on coordinate systems and map construction, enabling subsequent visual reconstructions that adjust for scribal corruptions and projection distortions. Digital archives have made high-resolution scans of historical Ptolemaic maps accessible, serving as galleries for comparative study. The David Rumsey Historical Map Collection hosts over 100 digitized examples from editions, including and engraved maps from the 1482 edition and Mercator's 1578 atlas, allowing users to zoom into details like toponym placements and ornamental elements while overlaying them on contemporary base maps via the site's Georeferencer tool. These scans highlight the evolution of Ptolemy's grids into printed atlases, with interactive features enabling side-by-side views of manuscript variants. Complementing this, the Institute for the (MPIWG) project on Ptolemy's (2017–2023) offers an online repository of computational reconstructions, including Jupyter-based visualizations of coordinate data plotted against modern to illustrate transmission errors across Byzantine and intermediaries. Interactive GIS platforms have transformed educational engagement with Ptolemy's work, allowing users to manipulate coordinates and explore spatial relationships. The Ancient World Mapping Center (AWMC) at the provides downloadable GIS layers of Ptolemy's oikoumene, enabling overlays on satellite-derived terrain models to compare ancient placements—such as the elongated depiction of —with current geographic realities, demonstrating how Ptolemy's approximately 25-30% underestimation of compressed meridional distances. Similarly, Esri's StoryMaps feature an interactive narrative of the Geography, where users can toggle between Ptolemy's first projection (with curved latitude arcs) and corrected versions, revealing distortions like the inflated size of the ; this tool integrates 8,000+ toponyms for querying regional accuracies, such as the positioning of Roman provinces relative to modern borders. These viewers often incorporate animations to visualize projection effects, such as the convergence of meridians in Ptolemy's conical method, which scholars use to teach how ancient assumptions about led to areal exaggerations in equatorial zones. Recent examples include corrected that restore true scale to Ptolemy's , facilitating direct comparisons with . The MPIWG's digital edition generates a recalibrated by applying a scaling factor based on ' larger estimate of Earth's circumference (increasing distances by 40%), aligning features like the and with Landsat-derived outlines and highlighting Ptolemy's prescient inclusion of the while noting inaccuracies in . In educational contexts, animations simulate these corrections, such as morphing Ptolemy's trapezoidal into an to expose distortions—e.g., the northward shift of —while 3D GIS models, like those in ArcGlobe, render the oikoumene as a rotatable for virtual , bridging ancient coordinates with photogrammetric to assess navigational implications.

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