Rhumbline network

Last updated
Windrose network -16 vertex on each Portolan. Hexadecagon-linies-rumb5.jpg
Windrose network -16 vertex on each Portolan.
Image of Petrus Vesconte Cartographer Pietro Vesconte (1318).jpg
Image of Petrus Vesconte

A rhumbline network (or windrose network) is a navigational aid consisting in multiple lines in a web-like grid drawn on portolan charts (and other early maps). These nautical charts were used in the medieval age and age of exploration in marine navigation.

Contents

Since the invention of the Mercator projection c.1600, the term rhumb line (or loxodrome) has been redefined to mean a mathematically precise curve of constant bearing on the Earth's surface. To avoid confusion, the lines on earlier sailing charts can be unambiguously called windrose lines, since they are not true rhumb lines by the modern definition. [1] A rhumb line in the modern sense is only straight on a chart drawn with the Mercator projection, but not on charts from the 13th–16th centuries. [2] Older windrose lines were a close approximation on charts of the Mediterranean Sea and surrounding areas, but the rhumb lines on small-scale maps such as the Teixeira planisphere were highly inaccurate.

The grid can be easily spotted (as parchment is quite translucent) by observing a chart from its rear face, with a light source illuminating the other side. The hole in the center of the circle, origin of the whole network, is also clearly visible from the rear. [3]

Use of windrose lines on a rhumbline network

To calculate on a portolan chart the course to follow from a point of origin to a point of destination, one should transfer — using a parallel rule — the "line of course" drawn from the point of origin to the point of destination, on top of the windrose line on the compass rose closest to the ship's position, obtaining on it the theoretical course to be followed when sailing towards the destination. This theoretical course may have to be modified (as many times as needed) when tacking if the wind is right ahead of you, or to correct the effects of leeway, currents, etc. that a sailor with experience should be able to calculate empirically.

Rhumblines vs. windrose lines

A part of the Catalan Atlas Europe Mediterranean Catalan Atlas.jpeg
A part of the Catalan Atlas

Before modern accurate surveying, there was no method for measuring longitude at sea so maps used to have many distortions, especially in the east west direction. There was also distortion due to the curvature of the Earth's surface. The multitude of compass roses with straight lines extending outwards across the map derived from how the maps were then made by compiling empirical observations from navigators who attempted to follow a constant bearing at sea. [4]

All portolan maps share these characteristic "windrose networks", which emanate from compass roses located at various points on the map (or mapamundi). These better called "windrose lines" are generated "by observation and the compass", and are designated today as "lines of course" or "lines of rhumb" ("rhumb lines" in the fourteenth century, traced on portolan's particular projection, though not to be confused with modern rhumb lines, meridians or isoazimuthals).

To understand that those lines should be better called "windrose lines", one has to know that portolan maps are characterized by the lack of map projection, for cartometric investigation has revealed that no projection was used in portolans, and those straight lines could be loxodromes only if the chart was drawn on a suitable projection. [2]

As Leo Bagrow states:

The word ("Rhumbline") is wrongly applied to the sea-charts of this period (Middle Ages), since a loxodrome gives an accurate course only when the chart is drawn on a suitable projection. Cartometric investigation has revealed that no projection was used in the early charts, for which we therefore retain the name 'portolan'. [2]

Network design

Portolan by Petrus Vescomte Atlantic map from Pietro Vesconte 1325 atlas.jpg
Portolan by Petrus Vescomte

Pujades in his book "Les cartes portolanes" has a chapter with all known theories and, with the aim to clarify the controversial arguments, he shows an image of Petrus Vesconte drawing a portolan chart in which it is visible how he started by drawing first the rhumbline grid. Some authors call it "winds network" instead of using the term "rhumbline network" or "network of rhumblines". [5] [6] [7]

The circle is divided into sixteen equal parts defining a hexadecagon, then the network of sailing directions is drawn "for a set of 16 wind roses", placed in the 16 vertex of an hexadecagon, in groups of 16 "straight lines" called "rhumblines" (on 13th-century charts). From each vertex, 7 rhumblines are projected towards the hexadecagon's interior connecting "in an alternated pace: skipping 1 of every 2 vertex", that means => to 7 of the vertex opposite to it, but without routing any line to connect that vertex to the other 8 intermixed vertex (keep in mind: 7+8+itself=16 vertex). The remaining 9 rhumblines (to complete the 16 winds) are projected from each vertex towards the exterior of the hexadecagon, although in some portolans those 9 lines do not appear. [7]

The lines of the courses for the eight main directions (or winds) are drawn with black ink (or sometimes gold); the eight intermediate directions (half-winds) are drawn in green; and in the case of a 32 winds rose, the sixteen remaining (quarter-winds) are drawn in red. The intersection of this set of "rhumblines" determine on the portolans a varied pattern of symmetrical squares, parallelograms, trapezoids and triangles. [3]

Vellum map creation process

The process for a vellum chart creation used to be as follows:

Planispheres with double hexadecagon

In large planispheres, especially those containing the oceans (World Map), the cartographer used to draw two hexadecagons with the two opposite corners superimposed in the center of the vellum. There are plenty of mappae mundi that use the double-hexadecagon rhumbline networks but they can not be considered portolan charts since they do not have any ports indicated on them.

In the Cresques planisphere one is able to read the names of those lines which were winds: tramontana, levante, ponente, mezzogiorno, greco, sirocco, and lebegio. When limited to small seas, planispheres approximately follow both rhumb lines and great circles. But on big oceans they do not follow either of them, due to the imprecision of the map making of that time, corresponding more or less accurately to rhumb lines only in the Mediterranean portolan charts and deviating greatly in the Texeira planisfere (among others).

Double hexadecagon in Cantino's planisphere

Rhumb line construction scheme with two hexadecagon in the Cantino planisphere Cantino rhumb line system.JPG
Rhumb line construction scheme with two hexadecagon in the Cantino planisphere

Double hexadecagon in Texeira's planisphere

Rhumb line construction scheme with two hexadecagon in the Texeira planisphere 5000px 1573 Teixeira.jpg
Rhumb line construction scheme with two hexadecagon in the Texeira planisphere

See also

Related Research Articles

<span class="mw-page-title-main">Mercator projection</span> Cylindrical conformal map projection

The Mercator projection is a cylindrical map projection presented by Flemish geographer and cartographer Gerardus Mercator in 1569. It became the standard map projection for navigation because it is unique in representing north as up and south as down everywhere while preserving local directions and shapes. The map is thereby conformal. As a side effect, the Mercator projection inflates the size of objects away from the equator. This inflation is very small near the equator but accelerates with increasing latitude to become infinite at the poles. As a result, landmasses such as Greenland, Antarctica, Canada and Russia appear far larger than they actually are relative to landmasses near the equator, such as Central Africa.

<span class="mw-page-title-main">Bearing (angle)</span> In navigation, horizontal angle between the direction of an object and another object

In navigation, bearing or azimuth is the horizontal angle between the direction of an object and north or another object. The angle value can be specified in various angular units, such as degrees, mils, or grad. More specifically:

<span class="mw-page-title-main">Rhumb line</span> Arc crossing all meridians of longitude at the same angle

In navigation, a rhumb line, rhumb, or loxodrome is an arc crossing all meridians of longitude at the same angle, that is, a path with constant bearing as measured relative to true north.

<span class="mw-page-title-main">Compass rose</span> Figure on a compass, map, nautical chart

A compass rose, sometimes called a wind rose, rose of the winds or compass star, is a figure on a compass, map, nautical chart, or monument used to display the orientation of the cardinal directions and their intermediate points. It is also the term for the graduated markings found on the traditional magnetic compass. Today, a form of compass rose is found on, or featured in, almost all navigation systems, including nautical charts, non-directional beacons (NDB), VHF omnidirectional range (VOR) systems, global-positioning systems (GPS), and similar equipment.

<span class="mw-page-title-main">Cantino planisphere</span> Portuguese world map c.1502

The Cantino planisphere or Cantino world map is a manuscript Portuguese world map preserved at the Biblioteca Estense in Modena, Italy. It is named after Alberto Cantino, an agent for the Duke of Ferrara, who successfully smuggled it from Portugal to Italy in 1502. It measures 220 x 105 cm.

<span class="mw-page-title-main">Pelorus (instrument)</span>

In marine navigation, a pelorus is a reference tool for maintaining bearing of a vessel at sea. It is a "simplified compass" without a directive element, suitably mounted and provided with vanes to permit observation of relative bearings.

Angelino Dulcert, probably the same person known as Angelino de Dalorto, and whose real name was probably Angelino de Dulceto or Dulceti or possibly Angelí Dolcet, was an Italian-Majorcan cartographer.

<span class="mw-page-title-main">Wind rose</span> Graphic tool used by meteorologists

A wind rose is a graphic tool used by meteorologists to give a succinct view of how wind speed and direction are typically distributed at a particular location. Historically, wind roses were predecessors of the compass rose, as there was no differentiation between a cardinal direction and the wind which blew from such a direction. Using a polar coordinate system of gridding, the frequency of winds over a time period is plotted by wind direction, with colour bands showing wind speed ranges. The direction of the longest spoke shows the wind direction with the greatest frequency.

<span class="mw-page-title-main">Portolan chart</span> Nautical charts, first made in the 13th century

Portolan charts are nautical charts, first made in the 13th century in the Mediterranean basin and later expanded to include other regions. The word portolan comes from the Italian portulano, meaning "related to ports or harbors", and which since at least the 17th century designates "a collection of sailing directions".

<i>Padrón Real</i>

The Padrón Real, known after 2 August 1527 as the Padrón General, was the official and secret Spanish master map used as a template for the maps present on all Spanish ships during the 16th century. It was kept in Seville, Spain by the Casa de Contratación. Ship pilots were required to use a copy of the official government chart, or risk the penalty of a 50 doblas fine. The map probably included a large-scale chart that hung on the wall of the old Alcázar of Seville. Well-known official cartographers and pilots who contributed to and used the map included Amerigo Vespucci, Diogo Ribeiro, Sebastian Cabot, Alonzo de Santa Cruz, and Juan Lopez de Velasco.

<span class="mw-page-title-main">Majorcan cartographic school</span> Medieval naval group

"Majorcan cartographic school" is the term coined by historians to refer to the collection of predominantly Jewish cartographers, cosmographers and navigational instrument-makers and some Christian associates that flourished in Majorca in the 13th, 14th and 15th centuries until the expulsion of the Jews. The label is usually inclusive of those who worked in Catalonia. The Majorcan school is frequently contrasted with the contemporary Italian cartography school.

Catalan charts or Catalan portolans are portolan charts in the Catalan language. Portolan charts are a type of medieval and early modern map that focuses on maritime geography and includes a network of rhumb lines. Most medieval portolan charts were made in Italian-speaking cities, with a substantial minority made in Catalan-speaking Majorca. In the 19th century, historians of cartography emphasized the differences of style and content between Italian and Catalan charts, but other authors have nuanced this distinction since then.

<span class="mw-page-title-main">Iberian cartography, 1400–1600</span>

Cartography throughout the 14th-16th centuries played a significant role in the expansion of the kingdoms of the Iberian Peninsula for a multitude of reasons. Primarily, the maps developed during this period served as navigational tools for maritime folk such as explorers, sailors and navigators. Mostly the expansion of the Crown of Aragon (which included the Kingdom of Aragon, Kingdom of Valencia and Kingdom of Majorca, together with the Principality of Catalonia, all its territories with seashore on the Mediterranean Sea. The Crown of Aragon controlled the routes across the Mediterranean Sea from the Kingdom of Jerusalem to Europe, as part of the commercial-trade route known as the Silk Road.

<span class="mw-page-title-main">Guillem Soler</span>

Guillem Soler, sometimes given as Guillelmus Soleri, Guillermo Soler and Guglielmo Soleri, was a Majorcan cartographer of the 14th century.

<span class="mw-page-title-main">Rule of marteloio</span> Medieval technique of navigational computation

The rule of marteloio is a medieval technique of navigational computation that uses compass direction, distance and a simple trigonometric table known as the toleta de marteloio. The rule told mariners how to plot the traverse between two different navigation courses by means of resolving triangles with the help of the Toleta and basic arithmetic.

<span class="mw-page-title-main">Mercator 1569 world map</span> First map in Mercators projection

The Mercator world map of 1569 is titled Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata. The title shows that Gerardus Mercator aimed to present contemporary knowledge of the geography of the world and at the same time 'correct' the chart to be more useful to sailors. This 'correction', whereby constant bearing sailing courses on the sphere are mapped to straight lines on the plane map, characterizes the Mercator projection. While the map's geography has been superseded by modern knowledge, its projection proved to be one of the most significant advances in the history of cartography, inspiring map historian Nordenskiöld to write "The master of Rupelmonde stands unsurpassed in the history of cartography since the time of Ptolemy." The projection heralded a new era in the evolution of navigation maps and charts and it is still their basis.

<span class="mw-page-title-main">Loxodromic navigation</span>

Loxodromic navigation is a method of navigation by following a rhumb line, a curve on the surface of the Earth that follows the same angle at the intersection with each meridian. This serves to maintain a steady course in sailing.

<i>La Cartografía Mallorquina</i>

La Cartografía Mallorquina is a book of essays on the Majorcan portolans written by Professor Julio Rey Pastor with the collaboration of Ernesto García Camarero. It is a scholarly essay, a key element in the study of portolans, especially those made by Majorcans as half of the book is devoted to the study of more than 400 Majorcan portolans existing worldwide.

Rhumbline may refer to:

<span class="mw-page-title-main">Salvatore de Pilestrina</span> Mapmaker in Mallorca in the early 16th century

Salvatore de Pilestrina, also known as Salvat de Pilestrina, was a mapmaker in Mallorca in the early 16th century.

References

  1. Leo Bagrow (2010). History of Cartography. Transaction Publishers. pp. 65–. ISBN   978-1-4128-2518-4.
  2. 1 2 3 Leo Bagrow (2010). History of Cartography. Transaction Publishers. pp. 65–. ISBN   978-1-4128-2518-4.
  3. 1 2 P. D. A. Harvey (1991). Medieval maps. British Library. ISBN   978-0-7123-0232-6.
  4. "Portolan charts from the late thirteenth century to 1500 – Additions, Corrections, Updates". www.maphistory.info. Retrieved 2020-08-14.
  5. María Luisa Martín-Merás (1 January 1993). Cartografía marítima hispana: la imagen de América. IGME. pp. 30–. ISBN   978-84-7782-265-3.
  6. Ernesto García Camarero; Julio Rey Pastor (1960). Julio Rey Pastor y Ernesto Garcia Camarero. La cartografia mallorquina. - Madrid: Dep. de historia y filosofia de la ciencia "Inst. Luis Vives", Consejo sup. de investigaciones cientificas 1960. XV, 207 S. 8°. Department de historia y filosofia de la ciencia "Inst. Luis Vives", Consejo sup. de investigaciones cientificas.
  7. 1 2 3 Ramon J.Pujades i Bataller (2007). Les cartes portolanes: la representació medieval d'una mar solcada. Institut Cartogràfic de Catalunya. ISBN   978-84-9785-414-6.