航海制图的起源:确定、怀疑和困惑

IF 0.4 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS
Gaspar, Joaquim Alves
{"title":"航海制图的起源:确定、怀疑和困惑","authors":"Gaspar, Joaquim Alves","doi":"10.1080/23729333.2023.2240902","DOIUrl":null,"url":null,"abstract":"ABSTRACTEuropean geographical maps and nautical charts have distinct geneses and underwent separate evolutions. When scientific cartography was reborn in the beginning of the fifteenth century, following the translation and dissemination of Ptolemy’s Geography, the portolan chart had already been established as an effective navigational tool for over one hundred years. And while new geographical maps started to be constructed by the erudite, using the coordinates and prescriptions given by Ptolemy some thirteen centuries before, charts continued to be made by artisans, on the basis of navigational data collected by pilots. Despite being a unique achievement in the history of cartography, if not in the history of civilization, the creation of the medieval portolan chart was still poorly understood at the turn of the twentieth century. With the introduction of new research tools and a deeper study of the extant sources, we have now reached a situation where the initial state of perplexity concerning the very emergence of the portolan charts has given way to a broad consensus about some central questions. The purpose of this article is to appraise the present state of knowledge regarding the so-called ‘origins problem’.RÉSUMÉLes cartes géographiques et les portulans européens ont une genèse et des évolutions distinctes. Lorsque la cartographie scientifique renait au début du XVe siècle, après la traduction et la diffusion de la Géographie de Ptolémée, les portulans étaient déjà un outil de navigation efficace depuis plus de cent ans. Alors que des nouvelles cartes géographiques commençaient à être construites par les érudits, en utilisant les coordonnées et conseils donnés par Ptolémée quelques treize siècles plus tôt, les cartes marines continuaient à être faites par des artisans, à partir de données de navigation collectées par les pilotes. Bien qu'il s'agisse d'une réalisation unique dans l'histoire de la cartographie, si ce n'est dans l'histoire de la civilisation, la création de la carte portulan médiévale était encore mal comprise au début du XXe siècle. Avec l'introduction des nouveaux outils de recherche et une étude plus approfondie des sources existantes, nous avons maintenant atteint une situation où l'état initial de perplexité concernant l'émergence même des cartes portulans a laissé place à un large consensus sur certaines questions centrales. L'objectif de ce papier est d'évaluer l'état actuel des connaissances sur ce que l'on appelle, 'le problème des origines'.KEYWORDS: History of cartographyhistory of navigationportolan chartnautical chartcartometric analysis AcknowledgmentsSome of the historiographic developments of the last few years, concerning the genesis of nautical cartography, were triggered by an informal discussion, held by email, between collaborators of the Medea-Chart project: Corradino Astengo †, Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell, and Wolfgang Koeberer, to name just a few. The arguments exchanged during the debate, which lasted for several months, drove us to revise some of our interpretations, opening new paths for research and eventually crystallizing in new publications. To all colleagues involved in that enriching debate I express my deep appreciation and gratitude some of recent historiographic developments concerning the genesis of nautical cartography were triggered by an informal discussion, conducted by email, between collaborators of the Medea-Chart project. These included, among others, Corradino Astengo †, Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell, and Wolfgang Koeberer. The arguments put forth during this extended conversation drove us to revise some of our interpretations, opening up novel avenues for research and crystallizing in new publications. I wish to express my deep appreciation and gratitude to all the colleagues who participated in this enriching exchange.Disclosure statementNo potential conflict of interest was reported by the author.Notes1 The hyperspectral analysis of the manuscript was made in 2019, in Paris, following a proposal of project Medea-Chart. The results, which haven’t revealed any surprises, were made available by the Laboratoire de restauration des musées de France, together with those of the radiocarbon dating and pigment analysis: https://merovingio.c2rmf.cnrs.fr/pisane/ (Retrieved January 2023).2 Some recent bibliography about these three charts is mentioned in Gaspar (Citation2019, note 19). For details and images of these early charts, see the Medea-Chart database: https://medea.fc.ul.pt/view/chart/50, https://medea.fc.ul.pt/view/chart/54, https://medea.fc.ul.pt/view/chart/358.3 In fact, there is a slight negative trend in the tilt of charts between ca. 1310 and before 1600. Its likely explanation is the progressive correction of a northward displacement of the eastern Mediterranean and Black Seas, which mostly affects the older charts. See, below, ‘The Sub-chart Theory’.4 In fact, this procedure would probably be unfeasible using the portolan charts that survived to our days, due to their small scale. Cotrugli wrote his De Navigatione for the Venetian Senate, with the purpose of composing a treatise on navigation. The original was lost but two copies are extant: Beinecke Rare Book and Manuscript Library, MS 557 and Lawrence J. Schoenberg Collection MS LJS 473 (Falchetta, Citation2009). A commented excerpt of the parts dealing with the navigational chart is in Almeida (Citation2022, pp. 53–60).5 The process aims to solve, using a table or diagram, the right triangles associated with the track of a ship at sea and the deviations from the planned course. Solutions are provided for the eight classical rhumbs, separated by one point (11 ¼ °).6 As noted by Tony Campbell, by the end of the fourteenth century several Mediterranean maritime authorities had decreed that every ship must carry at least two charts on board (Campbell, Citation1987, pp. 439–440).7 This subject will be addressed below, when discussing how the charts were made.8 That is the signed and dated chart of the Portuguese cartographer Jorge de Aguiar (1492). See Gaspar and Krtalić (2023, Ch. 11) and the Medea-Chart database: https://medea.fc.ul.pt/view/chart/4.9 That is not the opinion of Tony Campbell (personal communication), who considers that the reason Neckam referred to those devices was because they were novel. On this point, we may argue that their use would only have come to the knowledge of Neckam, an English cleric working far from Italy, if they were relatively ubiquitous by the time. In fact, he may have known about the floating compass while he was teaching in Paris, before 1186 (Beazley, Citation1911).10 The Compasso de Navegare is preserved in the Staatsbibliothek, Berlin (MS Hamilton 396) and bears the date of 1296. Based in its content, Motzo (Citation1947) considers the manuscript to be an updated copy of an older original, made before 1256.11 Because of the contamination caused by northward displacement of the eastern Mediterranean, especially in the older charts, it was decided not to use the line connecting Gibraltar to Antioch, as in Figure 1.12 This feature also agrees with the results of the analysis made by Roel Nicolai of the data contained in the Compasso de Navegare. See Nicolai (Citation2018).13 This anomaly was previously noted by Gautier-Dalché (Citation1995, p. 80) and by Kelley (Citation1995), who justly asked “Could it be that portolani owe more to portolan charts than vice versa?”. In a contribution focused on the analysis of the Compasso de Navegare, Nicolai (Citation2018, pp. 3, 5, 18) found numerous other instances of “impossible course legs”, and echoed Kelley’s suggestion that portolans were likely based on data scaled from charts.14 That is, by observing the Sun and stars (especially the Pole Star) at the moments when their geographic directions had been previously tabulated by the astronomers, such as culminations, risings and settings. See Gaspar (Citation2019, pp. 10–11).15 This is a difficult question, whose clarification should take two related facts into account: the major differences between the toponymic sequences in the Liber, Compasso de Navegare and Carte Pisane (Campbell, Citation2011, ‘Toponymic Transmission Before 1311 ['Precursor Names']’); and the compelling evidence that the earliest known portolan charts (or, more precisely, their prototypes) may have been made as piecewise assemblages of regional charts. See below, ‘The Sub-chart Theory’).16 Loomer (Citation1987, p. 167) suggested that the tilt of the charts was a side effect of the triangulation scheme, while Nicolai (Citation2014) considered that the sub-charts used to construct the representation of the Mediterranean and Black Seas were made using geodetical data and the Mercator projection.17 The idea is easy to understand if we imagine that one wants to determine the relative positions of a number of cities in a country, knowing only the distances between them. This is what is called multidimensional scaling in social sciences, a process equivalent to the least square adjustment used in Geodesy and many other disciplines.18 These parameters were then fine-tuned in successive runs of the model until the resulting grid of meridians and parallels became as close as possible to the ones implicit in the old nautical charts. Establishing a maximum distance is justified by the fact that few trips would have been made across exceptionally large distances in the Mediterranean, without a scale. The inclusion of a weighting factor aimed to better identify the actual data used to construct the charts. I concluded that a large preference (80%) was given to directions over distances (20%), which is a reasonable and expected result, considering that mariners must have trusted more the courses measured by the magnetic compasses than the estimated distances.19 This grid can be estimated from a set of points of known present day latitudes and longitudes, positively identified in the old chart and a modern map. The numerical process was facilitated by the use of MapAnalyst, a computer application designed for the purpose of comparing maps, freely available on the internet: https://mapanalyst.org/.20 It is important to remark that the slight convergence of the meridians in the old chart is explained by the usage of distances in its construction. Such convergence would be absent if only directions had been used.21 Indeed, even a medieval navigator would have given much more weight to compass directions than to estimated distances, due to the uncertainly associated with the latter. That is the reason why, following the introduction of latitude measurements in navigation, in the last decades of the fifteenth century, positions at sea started to be determined using observed latitudes and compass directions, rather than latitudes and distances.22 See Nicolai (Citation2016a, pp. 8–11). As previously noted, the author’s explanation for the tilt affecting all portolan charts up to ca. 1600 was that it was introduced by the same map makers to make the resulting chart agree with the compass directions.23 Although the chart was not obviously constructed on geographical coordinates, an arbitrary grid was created on the equirectangular projection centered at the 36° N parallel, from which latitudes and longitudes on the chart could be read. The grid was fixed at Punta Tarifa (36.0° N, 5.6° W), where both the latitude and longitude errors are zero.24 As previously noticed by other researchers for a few charts, less obvious subdivisions can be identified using a finer analysis, but such an exercise would be beyond the point I want to make here. See, for example, Loomer (Citation1987, p. 159) and Nicolai (Citation2014, p. 269).25 These two irregularities were also noticed by Nicolai (Citation2014, Ch. 7) on his cartometric analysis of five charts, but the corresponding control points were rejected as outliers.26 See Gaspar (Citation2010, p. 81, Citation2011, p. 237). It is noteworthy the fact that the Mercator projection was first proposed by Gerard Mercator in his planisphere of 1569 but was only fully adopted in nautical cartography well into the 18th century, after the longitude problem was solved. Its application to mapping in the Middle Ages would necessarily imply that geographical coordinates of some places could be determined by astronomical methods. Even assuming that such an undertaking was within the reach of the hypothetical older civilization postulated by Nicolai, why choose the Mercator projection for mapping small regions in the Mediterranean?27 This was more recently also proposed by Tony Campbell (Citation2021–Citation2023, ‘I.4c. The rectification procedure’).28 See Nicolai (Citation2021). The fact that the Portuguese charts of the late fifteenth and early sixteenth century were based on various sources of data was first noted and discussed by Gaspar (Citation2010), and then revisited in Gaspar (Citation2012, pp. 191–194) and McIntosh & Gaspar (Citation2021, pp. 167–174). The detailed analysis and conclusions made in these works about the origin of those data, and how they shaped the geometry of the charts, were apparently disregarded by Nicolai.29 Muhammad al-Idrisi’s Tabula Rogeriana (or Book of Roger) was commissioned by the Norman King of Sicily, Roger II, and completed around 1154. The book is written in Arabic and contains seventy maps covering the world known at the time. Al-Idrisi was certainly influenced by Ptolemy’s Geography, which had been translated into Arabic by al-Khwarizmi (ca. 780 – ca. 850) and al-Battani (ca. 858-929). Such an influence seems clear in the small round representation of the ecumene which accompanied later editions of the book. See Medea-Chart database: https://medea.fc.ul.pt/view/atlas/660, https://medea.fc.ul.pt/view/chart/238.30 See Campbell (Citation2021–Citation2023, ‘B.3b.1. London’s Black Cab drivers’). The situation of the taxi drivers cannot, strictly speaking, be taken as equivalent to the one of our medieval pilot because, as Campbell noted, those drivers learned much of their memorized information from maps. The necessity of keeping that information in their minds resulted from the simple fact that a paper map could not be safely consulted with the car in motion. As we know, the limitation has been resolved with the present-day digital maps and GPS systems.31 Campbell (Citation2021–Citation2023). The fact that most pilots were probably illiterate is used many times throughout the text to argue against textual support for navigation. See, for example, ‘L.3. Literacy or Illiteracy?’.32 Even if the ancient periploi were not used in navigation, as asserted by Campbell (2023,’ C1. Navigation in the Ancient World’), the similarities of organization and content with the medieval portolan suggest that some continuity did exist.33 As noted above, there is a difficulty here, related to the possible connection between the alleged proto-portolan chart, based on astronomical directions and representing the whole Mediterranean Sea, and the later regional portolan charts, based on compass directions. Rather than considering that the latter evolved naturally from the first, it could well be that they were mostly unrelated processes.Additional informationFundingThis project received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement 714033-Medea-Chart / ERC-2016-STG).Notes on contributorsJoaquim Filipe Figueiredo Alves GasparJoaquim Filipe Figueiredo Alves Gaspar is a Captain of the Portuguese Navy (retired), specialist in navigation, mathematical cartography, and Geographical Information Systems, presently an investigator in the Interuniversity Center for the History of Science and Technology, in the Faculty of Sciences of the University of Lisbon, Portugal. In the last six years, he was the Principal Investigator of project Medea-Chart, supported by the European Research Council, whose main scientific goal was to study the birth, technical evolution, and use of nautical charts during the Middle Ages and Early Modern periods.","PeriodicalId":36401,"journal":{"name":"International Journal of Cartography","volume":"6 1","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The origin of nautical cartography: certitudes, doubts, and perplexities\",\"authors\":\"Gaspar, Joaquim Alves\",\"doi\":\"10.1080/23729333.2023.2240902\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACTEuropean geographical maps and nautical charts have distinct geneses and underwent separate evolutions. When scientific cartography was reborn in the beginning of the fifteenth century, following the translation and dissemination of Ptolemy’s Geography, the portolan chart had already been established as an effective navigational tool for over one hundred years. And while new geographical maps started to be constructed by the erudite, using the coordinates and prescriptions given by Ptolemy some thirteen centuries before, charts continued to be made by artisans, on the basis of navigational data collected by pilots. Despite being a unique achievement in the history of cartography, if not in the history of civilization, the creation of the medieval portolan chart was still poorly understood at the turn of the twentieth century. With the introduction of new research tools and a deeper study of the extant sources, we have now reached a situation where the initial state of perplexity concerning the very emergence of the portolan charts has given way to a broad consensus about some central questions. The purpose of this article is to appraise the present state of knowledge regarding the so-called ‘origins problem’.RÉSUMÉLes cartes géographiques et les portulans européens ont une genèse et des évolutions distinctes. Lorsque la cartographie scientifique renait au début du XVe siècle, après la traduction et la diffusion de la Géographie de Ptolémée, les portulans étaient déjà un outil de navigation efficace depuis plus de cent ans. Alors que des nouvelles cartes géographiques commençaient à être construites par les érudits, en utilisant les coordonnées et conseils donnés par Ptolémée quelques treize siècles plus tôt, les cartes marines continuaient à être faites par des artisans, à partir de données de navigation collectées par les pilotes. Bien qu'il s'agisse d'une réalisation unique dans l'histoire de la cartographie, si ce n'est dans l'histoire de la civilisation, la création de la carte portulan médiévale était encore mal comprise au début du XXe siècle. Avec l'introduction des nouveaux outils de recherche et une étude plus approfondie des sources existantes, nous avons maintenant atteint une situation où l'état initial de perplexité concernant l'émergence même des cartes portulans a laissé place à un large consensus sur certaines questions centrales. L'objectif de ce papier est d'évaluer l'état actuel des connaissances sur ce que l'on appelle, 'le problème des origines'.KEYWORDS: History of cartographyhistory of navigationportolan chartnautical chartcartometric analysis AcknowledgmentsSome of the historiographic developments of the last few years, concerning the genesis of nautical cartography, were triggered by an informal discussion, held by email, between collaborators of the Medea-Chart project: Corradino Astengo †, Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell, and Wolfgang Koeberer, to name just a few. The arguments exchanged during the debate, which lasted for several months, drove us to revise some of our interpretations, opening new paths for research and eventually crystallizing in new publications. To all colleagues involved in that enriching debate I express my deep appreciation and gratitude some of recent historiographic developments concerning the genesis of nautical cartography were triggered by an informal discussion, conducted by email, between collaborators of the Medea-Chart project. These included, among others, Corradino Astengo †, Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell, and Wolfgang Koeberer. The arguments put forth during this extended conversation drove us to revise some of our interpretations, opening up novel avenues for research and crystallizing in new publications. I wish to express my deep appreciation and gratitude to all the colleagues who participated in this enriching exchange.Disclosure statementNo potential conflict of interest was reported by the author.Notes1 The hyperspectral analysis of the manuscript was made in 2019, in Paris, following a proposal of project Medea-Chart. The results, which haven’t revealed any surprises, were made available by the Laboratoire de restauration des musées de France, together with those of the radiocarbon dating and pigment analysis: https://merovingio.c2rmf.cnrs.fr/pisane/ (Retrieved January 2023).2 Some recent bibliography about these three charts is mentioned in Gaspar (Citation2019, note 19). For details and images of these early charts, see the Medea-Chart database: https://medea.fc.ul.pt/view/chart/50, https://medea.fc.ul.pt/view/chart/54, https://medea.fc.ul.pt/view/chart/358.3 In fact, there is a slight negative trend in the tilt of charts between ca. 1310 and before 1600. Its likely explanation is the progressive correction of a northward displacement of the eastern Mediterranean and Black Seas, which mostly affects the older charts. See, below, ‘The Sub-chart Theory’.4 In fact, this procedure would probably be unfeasible using the portolan charts that survived to our days, due to their small scale. Cotrugli wrote his De Navigatione for the Venetian Senate, with the purpose of composing a treatise on navigation. The original was lost but two copies are extant: Beinecke Rare Book and Manuscript Library, MS 557 and Lawrence J. Schoenberg Collection MS LJS 473 (Falchetta, Citation2009). A commented excerpt of the parts dealing with the navigational chart is in Almeida (Citation2022, pp. 53–60).5 The process aims to solve, using a table or diagram, the right triangles associated with the track of a ship at sea and the deviations from the planned course. Solutions are provided for the eight classical rhumbs, separated by one point (11 ¼ °).6 As noted by Tony Campbell, by the end of the fourteenth century several Mediterranean maritime authorities had decreed that every ship must carry at least two charts on board (Campbell, Citation1987, pp. 439–440).7 This subject will be addressed below, when discussing how the charts were made.8 That is the signed and dated chart of the Portuguese cartographer Jorge de Aguiar (1492). See Gaspar and Krtalić (2023, Ch. 11) and the Medea-Chart database: https://medea.fc.ul.pt/view/chart/4.9 That is not the opinion of Tony Campbell (personal communication), who considers that the reason Neckam referred to those devices was because they were novel. On this point, we may argue that their use would only have come to the knowledge of Neckam, an English cleric working far from Italy, if they were relatively ubiquitous by the time. In fact, he may have known about the floating compass while he was teaching in Paris, before 1186 (Beazley, Citation1911).10 The Compasso de Navegare is preserved in the Staatsbibliothek, Berlin (MS Hamilton 396) and bears the date of 1296. Based in its content, Motzo (Citation1947) considers the manuscript to be an updated copy of an older original, made before 1256.11 Because of the contamination caused by northward displacement of the eastern Mediterranean, especially in the older charts, it was decided not to use the line connecting Gibraltar to Antioch, as in Figure 1.12 This feature also agrees with the results of the analysis made by Roel Nicolai of the data contained in the Compasso de Navegare. See Nicolai (Citation2018).13 This anomaly was previously noted by Gautier-Dalché (Citation1995, p. 80) and by Kelley (Citation1995), who justly asked “Could it be that portolani owe more to portolan charts than vice versa?”. In a contribution focused on the analysis of the Compasso de Navegare, Nicolai (Citation2018, pp. 3, 5, 18) found numerous other instances of “impossible course legs”, and echoed Kelley’s suggestion that portolans were likely based on data scaled from charts.14 That is, by observing the Sun and stars (especially the Pole Star) at the moments when their geographic directions had been previously tabulated by the astronomers, such as culminations, risings and settings. See Gaspar (Citation2019, pp. 10–11).15 This is a difficult question, whose clarification should take two related facts into account: the major differences between the toponymic sequences in the Liber, Compasso de Navegare and Carte Pisane (Campbell, Citation2011, ‘Toponymic Transmission Before 1311 ['Precursor Names']’); and the compelling evidence that the earliest known portolan charts (or, more precisely, their prototypes) may have been made as piecewise assemblages of regional charts. See below, ‘The Sub-chart Theory’).16 Loomer (Citation1987, p. 167) suggested that the tilt of the charts was a side effect of the triangulation scheme, while Nicolai (Citation2014) considered that the sub-charts used to construct the representation of the Mediterranean and Black Seas were made using geodetical data and the Mercator projection.17 The idea is easy to understand if we imagine that one wants to determine the relative positions of a number of cities in a country, knowing only the distances between them. This is what is called multidimensional scaling in social sciences, a process equivalent to the least square adjustment used in Geodesy and many other disciplines.18 These parameters were then fine-tuned in successive runs of the model until the resulting grid of meridians and parallels became as close as possible to the ones implicit in the old nautical charts. Establishing a maximum distance is justified by the fact that few trips would have been made across exceptionally large distances in the Mediterranean, without a scale. The inclusion of a weighting factor aimed to better identify the actual data used to construct the charts. I concluded that a large preference (80%) was given to directions over distances (20%), which is a reasonable and expected result, considering that mariners must have trusted more the courses measured by the magnetic compasses than the estimated distances.19 This grid can be estimated from a set of points of known present day latitudes and longitudes, positively identified in the old chart and a modern map. The numerical process was facilitated by the use of MapAnalyst, a computer application designed for the purpose of comparing maps, freely available on the internet: https://mapanalyst.org/.20 It is important to remark that the slight convergence of the meridians in the old chart is explained by the usage of distances in its construction. Such convergence would be absent if only directions had been used.21 Indeed, even a medieval navigator would have given much more weight to compass directions than to estimated distances, due to the uncertainly associated with the latter. That is the reason why, following the introduction of latitude measurements in navigation, in the last decades of the fifteenth century, positions at sea started to be determined using observed latitudes and compass directions, rather than latitudes and distances.22 See Nicolai (Citation2016a, pp. 8–11). As previously noted, the author’s explanation for the tilt affecting all portolan charts up to ca. 1600 was that it was introduced by the same map makers to make the resulting chart agree with the compass directions.23 Although the chart was not obviously constructed on geographical coordinates, an arbitrary grid was created on the equirectangular projection centered at the 36° N parallel, from which latitudes and longitudes on the chart could be read. The grid was fixed at Punta Tarifa (36.0° N, 5.6° W), where both the latitude and longitude errors are zero.24 As previously noticed by other researchers for a few charts, less obvious subdivisions can be identified using a finer analysis, but such an exercise would be beyond the point I want to make here. See, for example, Loomer (Citation1987, p. 159) and Nicolai (Citation2014, p. 269).25 These two irregularities were also noticed by Nicolai (Citation2014, Ch. 7) on his cartometric analysis of five charts, but the corresponding control points were rejected as outliers.26 See Gaspar (Citation2010, p. 81, Citation2011, p. 237). It is noteworthy the fact that the Mercator projection was first proposed by Gerard Mercator in his planisphere of 1569 but was only fully adopted in nautical cartography well into the 18th century, after the longitude problem was solved. Its application to mapping in the Middle Ages would necessarily imply that geographical coordinates of some places could be determined by astronomical methods. Even assuming that such an undertaking was within the reach of the hypothetical older civilization postulated by Nicolai, why choose the Mercator projection for mapping small regions in the Mediterranean?27 This was more recently also proposed by Tony Campbell (Citation2021–Citation2023, ‘I.4c. The rectification procedure’).28 See Nicolai (Citation2021). The fact that the Portuguese charts of the late fifteenth and early sixteenth century were based on various sources of data was first noted and discussed by Gaspar (Citation2010), and then revisited in Gaspar (Citation2012, pp. 191–194) and McIntosh & Gaspar (Citation2021, pp. 167–174). The detailed analysis and conclusions made in these works about the origin of those data, and how they shaped the geometry of the charts, were apparently disregarded by Nicolai.29 Muhammad al-Idrisi’s Tabula Rogeriana (or Book of Roger) was commissioned by the Norman King of Sicily, Roger II, and completed around 1154. The book is written in Arabic and contains seventy maps covering the world known at the time. Al-Idrisi was certainly influenced by Ptolemy’s Geography, which had been translated into Arabic by al-Khwarizmi (ca. 780 – ca. 850) and al-Battani (ca. 858-929). Such an influence seems clear in the small round representation of the ecumene which accompanied later editions of the book. See Medea-Chart database: https://medea.fc.ul.pt/view/atlas/660, https://medea.fc.ul.pt/view/chart/238.30 See Campbell (Citation2021–Citation2023, ‘B.3b.1. London’s Black Cab drivers’). The situation of the taxi drivers cannot, strictly speaking, be taken as equivalent to the one of our medieval pilot because, as Campbell noted, those drivers learned much of their memorized information from maps. The necessity of keeping that information in their minds resulted from the simple fact that a paper map could not be safely consulted with the car in motion. As we know, the limitation has been resolved with the present-day digital maps and GPS systems.31 Campbell (Citation2021–Citation2023). The fact that most pilots were probably illiterate is used many times throughout the text to argue against textual support for navigation. See, for example, ‘L.3. Literacy or Illiteracy?’.32 Even if the ancient periploi were not used in navigation, as asserted by Campbell (2023,’ C1. Navigation in the Ancient World’), the similarities of organization and content with the medieval portolan suggest that some continuity did exist.33 As noted above, there is a difficulty here, related to the possible connection between the alleged proto-portolan chart, based on astronomical directions and representing the whole Mediterranean Sea, and the later regional portolan charts, based on compass directions. Rather than considering that the latter evolved naturally from the first, it could well be that they were mostly unrelated processes.Additional informationFundingThis project received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement 714033-Medea-Chart / ERC-2016-STG).Notes on contributorsJoaquim Filipe Figueiredo Alves GasparJoaquim Filipe Figueiredo Alves Gaspar is a Captain of the Portuguese Navy (retired), specialist in navigation, mathematical cartography, and Geographical Information Systems, presently an investigator in the Interuniversity Center for the History of Science and Technology, in the Faculty of Sciences of the University of Lisbon, Portugal. In the last six years, he was the Principal Investigator of project Medea-Chart, supported by the European Research Council, whose main scientific goal was to study the birth, technical evolution, and use of nautical charts during the Middle Ages and Early Modern periods.\",\"PeriodicalId\":36401,\"journal\":{\"name\":\"International Journal of Cartography\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-09-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Cartography\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/23729333.2023.2240902\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Cartography","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23729333.2023.2240902","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0

摘要

欧洲的地理地图和海图有各自不同的起源和演变。15世纪初,随着托勒密的《地理学》的翻译和传播,科学制图学获得了新生。那时,波多兰海图作为一种有效的航海工具已经确立了一百多年。当博学的学者们开始使用托勒密在大约13世纪前给出的坐标和方位图绘制新的地理地图时,航海图则继续由工匠们根据领航员收集的航海数据绘制。尽管在地图学史上是一项独特的成就,如果不是在文明史上的话,中世纪波多兰图的创造在20世纪之交仍然鲜为人知。由于采用了新的研究工具和对现有资料进行了更深入的研究,我们现在的情况是,对波特兰图的出现所产生的最初的困惑已经让位于对一些中心问题的广泛协商一致意见。本文的目的是评估关于所谓的“起源问题”的知识现状。RÉSUMÉLes提供的是与葡萄牙和欧洲不同的其他种类的<s:2>和<s:2>的不同。Lorsque la cartographie scienticique renit au XVe si<e:1>, aprous la traducition and diffusion de gsamographie de ptolimacress, les portulans ans samuentere dsamuere, as portulans ans samuere, as portulans samuere, as contrestles les, as codonen, as concones dsames, as concones danales, as concones danales, as concones danales, as concones danales, as concones danales, with ptolimacress, que quequeze, as concones, as concones, as concones, as concones, as concones, as concones, as concones, with ptolimacress, que quques, as cucures, as cucures, as cucures, as cucures, as cucures, as cucures, as cucures, as cucures, as cucures, as cucures,<s:1> dondonesandnaviges partipartis.com收集与驾驶员相同的驾驶员。在此之前,我想说的是,我将为我的制图史,我将为我的文明史,我将为我的文明史,我将为我的文明史,我将为我的文明史,我将为我的文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史,我将为文明史。在介绍新的研究对象和确定的来源时,必须注意到一种情况où最初的令人困惑的、令人关切的和不确定的情况même在对某些问题达成广泛共识的情况下,某些问题是中心问题。本论文的目的是:将“<s:1> <s:1> <s:1> <s:1> <s:1> <s:1> <s:1>与<s:1> <s:1> <s:1>的”与“<s:1> <s:1>与<s:1>的”结合起来,即“问题的起源”。致谢过去几年中,有关航海制图起源的一些史学发展,是由media - chart项目合作者之间通过电子邮件举行的非正式讨论引发的:Corradino Astengo†,Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell和Wolfgang Koeberer,仅举几例。在这场持续了几个月的辩论中,我们交换的观点促使我们修改了一些解释,为研究开辟了新的道路,并最终在新的出版物中具体化。对所有参与这场丰富辩论的同事,我深表赞赏和感谢,最近有关航海地图学起源的一些史学进展是由Medea-Chart项目合作者之间通过电子邮件进行的非正式讨论引发的。其中包括Corradino Astengo†,Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell和Wolfgang Koeberer。在这次长时间的谈话中提出的论点促使我们修改了我们的一些解释,为研究开辟了新的途径,并在新的出版物中具体化。在此,我谨向参与此次丰富交流的各位同仁表示衷心的感谢!披露声明作者未报告潜在的利益冲突。注1根据Medea-Chart项目的建议,该手稿的高光谱分析于2019年在巴黎进行。这些结果并没有透露出任何意外,这些结果与放射性碳定年和色素分析的结果一起由法国muses实验室提供:https://merovingio.c2rmf.cnrs.fr/pisane/(检索于2023年1月)Gaspar最近提到了这三个图表的一些参考文献(Citation2019,注19)。有关这些早期图表的详细信息和图像,请参阅Medea-Chart数据库:https://medea.fc.ul.pt/view/chart/50, https://medea.fc.ul.pt/view/chart/54, https://medea.fc.ul.pt/view/chart/358.3事实上,在大约1310年至1600年之前,图表的倾斜有轻微的负趋势。其可能的解释是地中海东部和黑海向北移动的渐进修正,这主要影响了旧的海图。请看下面的“子图理论”。 事实上,如果使用留存至今的portolan海图,由于其规模小,这一过程可能是不可行的。科特鲁利为威尼斯元老院写了他的《航海论》,目的是撰写一篇关于航海的论文。原件丢失了,但有两份副本存在:Beinecke珍本和手稿图书馆,MS 557和Lawrence J. Schoenberg Collection MS LJS 473 (Falchetta, Citation2009)。关于航海图部分的注释摘录见Almeida (Citation2022, pp. 53-60)该过程旨在通过表格或图表解决与海上船舶轨迹相关的直角三角形以及与计划航线的偏差。给出了以一点(11¼°)为间隔的八个经典凸形的解正如托尼·坎贝尔所指出的,到14世纪末,几个地中海海事当局颁布法令,要求每艘船必须携带至少两张海图(坎贝尔,Citation1987, pp. 439-440)这个问题将在下面讨论如何制作图表时讨论这是葡萄牙制图师Jorge de Aguiar(1492)签名并注明日期的地图。参见Gaspar和krtaliki(2023,第11章)和media - chart数据库:https://medea.fc.ul.pt/view/chart/4.9这不是Tony Campbell(个人交流)的观点,他认为内卡姆提到这些设备的原因是因为它们是新颖的。在这一点上,我们可能会争辩说,如果它们在当时相对普遍的话,它们的使用只有在远离意大利工作的英国牧师内卡姆才会知道。事实上,他可能在1186年以前在巴黎教书时就知道了漂浮罗盘《航海罗盘》保存于柏林国家图书馆(MS Hamilton 396),制作日期为1296年。根据其内容,Motzo (Citation1947)认为该手稿是1256.11年之前制作的旧原件的更新副本。由于东地中海向北移动造成的污染,特别是在旧海图中,决定不使用连接直布罗陀和安提阿的线,如图1.12所示。这一特征也与Roel Nicolai对罗盘中包含的数据的分析结果一致。参见Nicolai (Citation2018).13gautier - dalch<s:1> (Citation1995,第80页)和Kelley (Citation1995)早前就注意到了这种异常现象,他们公正地问道:“波图拉尼是否比波图拉尼更受波图拉尼的影响?”Nicolai (Citation2018, pp. 3,5,18)在一篇专注于罗盘分析的文章中发现了许多其他“不可能的航程”的例子,并呼应了Kelley的建议,即portolans可能是基于图表缩放的数据也就是说,通过观察太阳和星星(尤其是北极星)在它们的地理方向已经被天文学家事先制表的时刻,如顶点、升起和落下。参见Gaspar (Citation2019, pp. 10-11)这是一个困难的问题,它的澄清应该考虑到两个相关的事实:在《Liber》、《Compasso de Navegare》和《Carte Pisane》中地名序列的主要差异(Campbell, Citation2011,《1311年前的地名传播['前体名称']》);令人信服的证据表明,已知最早的portolan海图(或者更准确地说,它们的原型)可能是由区域海图的分段组合而成的。参见下面的“子图理论”)Loomer (Citation1987,第167页)认为海图的倾斜是三角测量方案的副作用,而Nicolai (Citation2014)认为用于构建地中海和黑海表示的子海图是使用大地测量数据和墨卡托投影制作的如果我们想象一个人想要确定一个国家中几个城市的相对位置,而只知道它们之间的距离,这个想法很容易理解。这就是社会科学中所谓的多维尺度,这个过程相当于大地测量学和许多其他学科中使用的最小二乘平差然后在模型的连续运行中对这些参数进行微调,直到得到的子午线和平行线网格尽可能接近旧海图中隐含的网格。建立最大距离是合理的,因为在地中海,如果没有比例尺,很少有旅行会跨越特别长的距离。纳入加权因素的目的是更好地确定用于构建图表的实际数据。我的结论是,相对于距离(20%),人们更倾向于方向(80%),这是一个合理和预期的结果,因为水手们肯定更相信磁罗经测量的方向,而不是估计的距离。 19这个网格可以根据一组已知的当今经纬度点来估计,这些经纬度点在旧图表和现代地图中得到了明确的标识。使用MapAnalyst(一种为比较地图而设计的计算机应用程序,可在互联网上免费获得)促进了数值过程:https://mapanalyst.org/.20值得注意的是,旧图表中子午线的轻微收敛是通过在其构造中使用距离来解释的。如果只使用方向,就不会有这种趋同事实上,即使是中世纪的航海家也会更重视指南针的方向,而不是估计的距离,因为后者具有不确定性。这就是为什么在15世纪最后几十年,在航海中引入纬度测量之后,海上的位置开始用观测到的纬度和罗盘方向来确定,而不是用纬度和距离来确定参见Nicolai (Citation2016a, pp. 8-11)。如前所述,作者对影响到大约1600年以前所有portolan海图的倾斜的解释是,它是由相同的地图制作者引入的,以使最终的海图与指南针的方向一致虽然海图不是明显地建立在地理坐标上的,但在以北纬36°为中心的等矩形投影上创建了一个任意网格,从中可以读取海图上的经纬度。网格固定在蓬塔塔里法(北纬36.0°,西经5.6°),经纬度误差均为0.24正如其他研究人员之前在一些图表中注意到的那样,可以使用更精细的分析来识别不太明显的细分,但这种练习超出了我想在这里讨论的重点。例如,参见Loomer (Citation1987,第159页)和Nicolai (Citation2014,第269页).25Nicolai (Citation2014, Ch. 7)在对5个图表的图解分析中也注意到了这两个不规则现象,但相应的控制点被拒绝为异常值参见Gaspar (Citation2010,第81页,Citation2011,第237页)。值得注意的是,墨卡托投影最初是由杰拉德·墨卡托在1569年的平面球中提出的,但直到18世纪,在经度问题得到解决后,才被航海制图完全采用。它在中世纪测绘中的应用必然意味着某些地方的地理坐标可以通过天文学方法确定。即使假设这样的任务是在尼古拉假设的更古老文明的范围内,为什么选择墨卡托投影来绘制地中海的小区域?27最近Tony Campbell (Citation2021-Citation2023, I.4c)也提出了这一点。纠正程序’)参见Nicolai (Citation2021)。15世纪末和16世纪初的葡萄牙图表基于各种数据来源,这一事实首先由加斯帕(Citation2010)提出并讨论,然后在加斯帕(Citation2012,第191-194页)和麦金托什和加斯帕(Citation2021,第167-174页)中重新审视。这些作品中关于数据来源的详细分析和结论,以及它们如何塑造海图的几何形状,显然被尼古拉忽视了。穆罕默德·伊德里西的《罗杰之书》(Tabula Rogeriana)受西西里的诺曼国王罗杰二世的委托,于1154年左右完成。这本书是用阿拉伯语写的,里面有70张地图,覆盖了当时已知的世界。伊德里斯当然受到了托勒密的《地理学》的影响,这本书已经被花剌子米(约780 -约850)和巴塔尼(约858-929)翻译成阿拉伯语。这种影响在这本书后来的版本中出现的小圆形的基督教代表中似乎很明显。参见Medea-Chart数据库:https://medea.fc.ul.pt/view/atlas/660, https://medea.fc.ul.pt/view/chart/238.30参见Campbell (Citation2021-Citation2023, ' B.3b.1。伦敦的黑色出租车司机)。严格来说,出租车司机的情况不能等同于我们中世纪的飞行员,因为正如坎贝尔所指出的那样,那些司机的大部分记忆信息都是从地图上学习的。他们之所以需要把这些信息记在脑子里,原因很简单:在汽车行驶时,查阅纸质地图是不安全的。正如我们所知,现在的数字地图和全球定位系统已经解决了这个限制坎贝尔(Citation2021-Citation2023)。大多数飞行员可能是文盲的事实,在整个文本中被多次用来反对文本支持导航。例如,“L.3”。识字还是文盲即使像坎贝尔(Campbell, 2023)断言的那样,古代的航海仪并没有被用于航海。 《古代世界的航海》),其组织和内容与中世纪portolan的相似之处表明,某些连续性确实存在如上所述,这里有一个困难,这与所谓的基于天文方向并代表整个地中海的原始波多兰海图与后来基于罗盘方向的区域波多兰海图之间可能存在的联系有关。与其认为后者是从前者自然进化而来,还不如认为它们大多是不相关的过程。本项目获得了欧洲研究委员会(ERC)在欧盟地平线2020研究和创新计划下的资助(资助协议714033- media - chart / ERC-2016- stg)。joaquim Filipe Figueiredo Alves GasparJoaquim Filipe Figueiredo Alves GasparJoaquim Filipe Figueiredo Alves Gaspar是葡萄牙海军上校(已退休),是航海、数学制图和地理信息系统方面的专家,目前是葡萄牙里斯本大学理学院校际科技历史中心的研究员。在过去的六年里,他是欧洲研究委员会(European Research Council)资助的Medea-Chart项目的首席研究员,该项目的主要科学目标是研究中世纪和近代早期海图的诞生、技术演变和使用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The origin of nautical cartography: certitudes, doubts, and perplexities
ABSTRACTEuropean geographical maps and nautical charts have distinct geneses and underwent separate evolutions. When scientific cartography was reborn in the beginning of the fifteenth century, following the translation and dissemination of Ptolemy’s Geography, the portolan chart had already been established as an effective navigational tool for over one hundred years. And while new geographical maps started to be constructed by the erudite, using the coordinates and prescriptions given by Ptolemy some thirteen centuries before, charts continued to be made by artisans, on the basis of navigational data collected by pilots. Despite being a unique achievement in the history of cartography, if not in the history of civilization, the creation of the medieval portolan chart was still poorly understood at the turn of the twentieth century. With the introduction of new research tools and a deeper study of the extant sources, we have now reached a situation where the initial state of perplexity concerning the very emergence of the portolan charts has given way to a broad consensus about some central questions. The purpose of this article is to appraise the present state of knowledge regarding the so-called ‘origins problem’.RÉSUMÉLes cartes géographiques et les portulans européens ont une genèse et des évolutions distinctes. Lorsque la cartographie scientifique renait au début du XVe siècle, après la traduction et la diffusion de la Géographie de Ptolémée, les portulans étaient déjà un outil de navigation efficace depuis plus de cent ans. Alors que des nouvelles cartes géographiques commençaient à être construites par les érudits, en utilisant les coordonnées et conseils donnés par Ptolémée quelques treize siècles plus tôt, les cartes marines continuaient à être faites par des artisans, à partir de données de navigation collectées par les pilotes. Bien qu'il s'agisse d'une réalisation unique dans l'histoire de la cartographie, si ce n'est dans l'histoire de la civilisation, la création de la carte portulan médiévale était encore mal comprise au début du XXe siècle. Avec l'introduction des nouveaux outils de recherche et une étude plus approfondie des sources existantes, nous avons maintenant atteint une situation où l'état initial de perplexité concernant l'émergence même des cartes portulans a laissé place à un large consensus sur certaines questions centrales. L'objectif de ce papier est d'évaluer l'état actuel des connaissances sur ce que l'on appelle, 'le problème des origines'.KEYWORDS: History of cartographyhistory of navigationportolan chartnautical chartcartometric analysis AcknowledgmentsSome of the historiographic developments of the last few years, concerning the genesis of nautical cartography, were triggered by an informal discussion, held by email, between collaborators of the Medea-Chart project: Corradino Astengo †, Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell, and Wolfgang Koeberer, to name just a few. The arguments exchanged during the debate, which lasted for several months, drove us to revise some of our interpretations, opening new paths for research and eventually crystallizing in new publications. To all colleagues involved in that enriching debate I express my deep appreciation and gratitude some of recent historiographic developments concerning the genesis of nautical cartography were triggered by an informal discussion, conducted by email, between collaborators of the Medea-Chart project. These included, among others, Corradino Astengo †, Dick Pflederer, Gregory McIntosh, Michael Barrit, Tony Campbell, and Wolfgang Koeberer. The arguments put forth during this extended conversation drove us to revise some of our interpretations, opening up novel avenues for research and crystallizing in new publications. I wish to express my deep appreciation and gratitude to all the colleagues who participated in this enriching exchange.Disclosure statementNo potential conflict of interest was reported by the author.Notes1 The hyperspectral analysis of the manuscript was made in 2019, in Paris, following a proposal of project Medea-Chart. The results, which haven’t revealed any surprises, were made available by the Laboratoire de restauration des musées de France, together with those of the radiocarbon dating and pigment analysis: https://merovingio.c2rmf.cnrs.fr/pisane/ (Retrieved January 2023).2 Some recent bibliography about these three charts is mentioned in Gaspar (Citation2019, note 19). For details and images of these early charts, see the Medea-Chart database: https://medea.fc.ul.pt/view/chart/50, https://medea.fc.ul.pt/view/chart/54, https://medea.fc.ul.pt/view/chart/358.3 In fact, there is a slight negative trend in the tilt of charts between ca. 1310 and before 1600. Its likely explanation is the progressive correction of a northward displacement of the eastern Mediterranean and Black Seas, which mostly affects the older charts. See, below, ‘The Sub-chart Theory’.4 In fact, this procedure would probably be unfeasible using the portolan charts that survived to our days, due to their small scale. Cotrugli wrote his De Navigatione for the Venetian Senate, with the purpose of composing a treatise on navigation. The original was lost but two copies are extant: Beinecke Rare Book and Manuscript Library, MS 557 and Lawrence J. Schoenberg Collection MS LJS 473 (Falchetta, Citation2009). A commented excerpt of the parts dealing with the navigational chart is in Almeida (Citation2022, pp. 53–60).5 The process aims to solve, using a table or diagram, the right triangles associated with the track of a ship at sea and the deviations from the planned course. Solutions are provided for the eight classical rhumbs, separated by one point (11 ¼ °).6 As noted by Tony Campbell, by the end of the fourteenth century several Mediterranean maritime authorities had decreed that every ship must carry at least two charts on board (Campbell, Citation1987, pp. 439–440).7 This subject will be addressed below, when discussing how the charts were made.8 That is the signed and dated chart of the Portuguese cartographer Jorge de Aguiar (1492). See Gaspar and Krtalić (2023, Ch. 11) and the Medea-Chart database: https://medea.fc.ul.pt/view/chart/4.9 That is not the opinion of Tony Campbell (personal communication), who considers that the reason Neckam referred to those devices was because they were novel. On this point, we may argue that their use would only have come to the knowledge of Neckam, an English cleric working far from Italy, if they were relatively ubiquitous by the time. In fact, he may have known about the floating compass while he was teaching in Paris, before 1186 (Beazley, Citation1911).10 The Compasso de Navegare is preserved in the Staatsbibliothek, Berlin (MS Hamilton 396) and bears the date of 1296. Based in its content, Motzo (Citation1947) considers the manuscript to be an updated copy of an older original, made before 1256.11 Because of the contamination caused by northward displacement of the eastern Mediterranean, especially in the older charts, it was decided not to use the line connecting Gibraltar to Antioch, as in Figure 1.12 This feature also agrees with the results of the analysis made by Roel Nicolai of the data contained in the Compasso de Navegare. See Nicolai (Citation2018).13 This anomaly was previously noted by Gautier-Dalché (Citation1995, p. 80) and by Kelley (Citation1995), who justly asked “Could it be that portolani owe more to portolan charts than vice versa?”. In a contribution focused on the analysis of the Compasso de Navegare, Nicolai (Citation2018, pp. 3, 5, 18) found numerous other instances of “impossible course legs”, and echoed Kelley’s suggestion that portolans were likely based on data scaled from charts.14 That is, by observing the Sun and stars (especially the Pole Star) at the moments when their geographic directions had been previously tabulated by the astronomers, such as culminations, risings and settings. See Gaspar (Citation2019, pp. 10–11).15 This is a difficult question, whose clarification should take two related facts into account: the major differences between the toponymic sequences in the Liber, Compasso de Navegare and Carte Pisane (Campbell, Citation2011, ‘Toponymic Transmission Before 1311 ['Precursor Names']’); and the compelling evidence that the earliest known portolan charts (or, more precisely, their prototypes) may have been made as piecewise assemblages of regional charts. See below, ‘The Sub-chart Theory’).16 Loomer (Citation1987, p. 167) suggested that the tilt of the charts was a side effect of the triangulation scheme, while Nicolai (Citation2014) considered that the sub-charts used to construct the representation of the Mediterranean and Black Seas were made using geodetical data and the Mercator projection.17 The idea is easy to understand if we imagine that one wants to determine the relative positions of a number of cities in a country, knowing only the distances between them. This is what is called multidimensional scaling in social sciences, a process equivalent to the least square adjustment used in Geodesy and many other disciplines.18 These parameters were then fine-tuned in successive runs of the model until the resulting grid of meridians and parallels became as close as possible to the ones implicit in the old nautical charts. Establishing a maximum distance is justified by the fact that few trips would have been made across exceptionally large distances in the Mediterranean, without a scale. The inclusion of a weighting factor aimed to better identify the actual data used to construct the charts. I concluded that a large preference (80%) was given to directions over distances (20%), which is a reasonable and expected result, considering that mariners must have trusted more the courses measured by the magnetic compasses than the estimated distances.19 This grid can be estimated from a set of points of known present day latitudes and longitudes, positively identified in the old chart and a modern map. The numerical process was facilitated by the use of MapAnalyst, a computer application designed for the purpose of comparing maps, freely available on the internet: https://mapanalyst.org/.20 It is important to remark that the slight convergence of the meridians in the old chart is explained by the usage of distances in its construction. Such convergence would be absent if only directions had been used.21 Indeed, even a medieval navigator would have given much more weight to compass directions than to estimated distances, due to the uncertainly associated with the latter. That is the reason why, following the introduction of latitude measurements in navigation, in the last decades of the fifteenth century, positions at sea started to be determined using observed latitudes and compass directions, rather than latitudes and distances.22 See Nicolai (Citation2016a, pp. 8–11). As previously noted, the author’s explanation for the tilt affecting all portolan charts up to ca. 1600 was that it was introduced by the same map makers to make the resulting chart agree with the compass directions.23 Although the chart was not obviously constructed on geographical coordinates, an arbitrary grid was created on the equirectangular projection centered at the 36° N parallel, from which latitudes and longitudes on the chart could be read. The grid was fixed at Punta Tarifa (36.0° N, 5.6° W), where both the latitude and longitude errors are zero.24 As previously noticed by other researchers for a few charts, less obvious subdivisions can be identified using a finer analysis, but such an exercise would be beyond the point I want to make here. See, for example, Loomer (Citation1987, p. 159) and Nicolai (Citation2014, p. 269).25 These two irregularities were also noticed by Nicolai (Citation2014, Ch. 7) on his cartometric analysis of five charts, but the corresponding control points were rejected as outliers.26 See Gaspar (Citation2010, p. 81, Citation2011, p. 237). It is noteworthy the fact that the Mercator projection was first proposed by Gerard Mercator in his planisphere of 1569 but was only fully adopted in nautical cartography well into the 18th century, after the longitude problem was solved. Its application to mapping in the Middle Ages would necessarily imply that geographical coordinates of some places could be determined by astronomical methods. Even assuming that such an undertaking was within the reach of the hypothetical older civilization postulated by Nicolai, why choose the Mercator projection for mapping small regions in the Mediterranean?27 This was more recently also proposed by Tony Campbell (Citation2021–Citation2023, ‘I.4c. The rectification procedure’).28 See Nicolai (Citation2021). The fact that the Portuguese charts of the late fifteenth and early sixteenth century were based on various sources of data was first noted and discussed by Gaspar (Citation2010), and then revisited in Gaspar (Citation2012, pp. 191–194) and McIntosh & Gaspar (Citation2021, pp. 167–174). The detailed analysis and conclusions made in these works about the origin of those data, and how they shaped the geometry of the charts, were apparently disregarded by Nicolai.29 Muhammad al-Idrisi’s Tabula Rogeriana (or Book of Roger) was commissioned by the Norman King of Sicily, Roger II, and completed around 1154. The book is written in Arabic and contains seventy maps covering the world known at the time. Al-Idrisi was certainly influenced by Ptolemy’s Geography, which had been translated into Arabic by al-Khwarizmi (ca. 780 – ca. 850) and al-Battani (ca. 858-929). Such an influence seems clear in the small round representation of the ecumene which accompanied later editions of the book. See Medea-Chart database: https://medea.fc.ul.pt/view/atlas/660, https://medea.fc.ul.pt/view/chart/238.30 See Campbell (Citation2021–Citation2023, ‘B.3b.1. London’s Black Cab drivers’). The situation of the taxi drivers cannot, strictly speaking, be taken as equivalent to the one of our medieval pilot because, as Campbell noted, those drivers learned much of their memorized information from maps. The necessity of keeping that information in their minds resulted from the simple fact that a paper map could not be safely consulted with the car in motion. As we know, the limitation has been resolved with the present-day digital maps and GPS systems.31 Campbell (Citation2021–Citation2023). The fact that most pilots were probably illiterate is used many times throughout the text to argue against textual support for navigation. See, for example, ‘L.3. Literacy or Illiteracy?’.32 Even if the ancient periploi were not used in navigation, as asserted by Campbell (2023,’ C1. Navigation in the Ancient World’), the similarities of organization and content with the medieval portolan suggest that some continuity did exist.33 As noted above, there is a difficulty here, related to the possible connection between the alleged proto-portolan chart, based on astronomical directions and representing the whole Mediterranean Sea, and the later regional portolan charts, based on compass directions. Rather than considering that the latter evolved naturally from the first, it could well be that they were mostly unrelated processes.Additional informationFundingThis project received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement 714033-Medea-Chart / ERC-2016-STG).Notes on contributorsJoaquim Filipe Figueiredo Alves GasparJoaquim Filipe Figueiredo Alves Gaspar is a Captain of the Portuguese Navy (retired), specialist in navigation, mathematical cartography, and Geographical Information Systems, presently an investigator in the Interuniversity Center for the History of Science and Technology, in the Faculty of Sciences of the University of Lisbon, Portugal. In the last six years, he was the Principal Investigator of project Medea-Chart, supported by the European Research Council, whose main scientific goal was to study the birth, technical evolution, and use of nautical charts during the Middle Ages and Early Modern periods.
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来源期刊
International Journal of Cartography
International Journal of Cartography Social Sciences-Geography, Planning and Development
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