Naslov
Map Projection Reconstruction of the World Map by Leonardno da Vinci

Autori
Lapaine, Miljenko

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Digital Approaches to Cartographic Heritage / - , 2015, 1-13

Skup
10th Jubilee Conference + Workshop on Digital Approaches to Cartographic Heritage

Mjesto i datum
Krf, Grčka, 27.05.2015. - 29.05.2015

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
map projection ; Leonardo da Vinci ; world map ; Reuleaux triangle ; Oronce Finé ; Guillaume Le Testu

Sažetak
Leonardo da Vinci or one of his collaborators, probably Francesco Melzi, produced a world map about 500 years ago. The map consists of eight parts of equal size, each of which is a projection of one eighth of a globe into a plane. Lines separating those parts are the equator and two arcs of meridian circles. Those parts are equilateral triangles, also known as Reuleaux's triangles after German engineer Franz Reuleaux who lived in the 19th century. Each side of those triangles is an arc of a circle with opposite vertex as the centre of the circle. Diameters of those triangles equal five inches, making the scale of the world map very small. Meridians and parallels are not shown on the map, which is not unusual because the map comes from the time in which maps were produced to show discoveries rather than help sailors on their voyages. The da Vinci map projection is unique, without predecessors in Antique or Middle Ages. It is unknown which map projection was applied by the map author. The following was demonstrated in a previous research: 1. The angle in the da Vinci-Reuleaux triangle equals 120°. 2. Da Vinci’s projection is not an oblique aspect of azimuthal projection (neither confor-mal, nor equal-area, nor equidistant). 3. It is possible to derive equations of a pseudoconic map projection with the following properties: parallels of latitude are arcs of concentric circles with the centre in the pole ; meridians of longitude are arcs of circles with the centre on the coordinate axis. Parallels in the projection plane divide the central meridian into equal parts. The research described in this paper investigates an approach by Oronce Finé, who pub-lished his method in his De Mundi Sphaera sive Cosmographia libri V 1549, 30 years after da Vinci had died. Furthermore, the first Le Testu projection, which is similar to Finé's projection, is explained in detail. Finally, the paper compares three possible map projec-tions of the da Vinci world map, showing similarities and differences among them.

Izvorni jezik
Engleski

Znanstvena područja
Geodezija

POVEZANOST RADA