Ключевые слова
построение карт
история картографии
идеальная карта
Леонард Эйлер
Жозеф-Никола Делиль
развертки
Как цитировать
Аннотация
В статье рассматриваются вопросы, касающиеся работ Эйлера в области картографии, и их последствия, в которых важную роль играют развертки поверхности сферы по меридианам и параллелям.
Литература
Papadopoulos A. Euler and Chebyshev: From the Sphere to the Plane and Backwards. 2016. hal-01352229.
Euler L. De repraesentatione superficiei sphaericae super plano. Acta Academiae Scientarum Imperialis Petropolitinae. 1777, p. 107–132. Opera Omnia. Series 1, Volume 28, pp. 248–275.
Feeman T. G. Portraits of the Earth: A Mathematician Looks at Maps. AMS, Providence, RA; 2002.
Corrales Rodriganez C. Dallo spazio come contenitore allo spazio come rete. In: Matematica e cultura 2000. Papers from the conference held at the Università Ca’ Foscari di Venezia, Venice, March 26–27, 1999. Ed. M. Emmer. Collana Matematica e Cultura. Milan: Springer-Verlag Italia; 2000.
Caddeo R., Papadopoulos A., Zhukova A. Spherical Geometry in the Eighteenth Century, book to appear.
Osserman R. Mathematical Mapping from Mercator to the Millennium. Mathematical Adventures for Students and Amateurs / Ed. D. F. Hayes and T. Shubin. Mathematical Association of America; 2004. P. 233–257.
Robinson P. L. The Sphere is not Flat. The American Mathematical Monthly. 2006;113(2):171–173.
Knoebel A., Lodder J., Laubenbacher R., Pengelley D. Mathematical Masterpieces: Further Chronicles by the Explorers. Springer Verlag; 2007.
Gray J. Simply Riemann, Simply Charly. New York; 2020.
Rashed R., Papadopoulos A. Menelaus’ Spherics: Early Translation and al-Māhānı̄/al-Harawı̄’s Version (Critical edition of Menelaus’ Spherics from the Arabic manuscripts, with historical and mathematical commentaries). De Gruyter, Series: Scientia Graeco-Arabica, 21, 2017. 890 p.
Charitos C., Papadoperakis I. On the Non-existence of a Perfect Map from the 2-sphere to the Euclidean Plane. Eighteen Essays in Non-Euclidean Geometry. Ed. V. Alberge and A. Papadopoulos. Zürich: Eur. Math. Soc.; 2019. P. 125–134.
Euler L. De proiectione geographica superficiei sphaericae. Acta Academiae Scientarum Imperialis Petropolitinae. 1777, p. 133–142. Opera Omnia. Series 1, Volume 28, pp. 276–287.
Euler L. De proiectione geographica Deslisliana in mappa generali imperii russici usitata. Acta Academiae Scientarum Imperialis Petropolitinae. 1777, p. 143-153. Opera Omnia. Series 1, Volume 28.
Delisle J.-N. A Proposal for the Measurement of the Earth in Russia, Read at a Meeting of the Academy of Sciences of St. Petersbourg, Jan. 21. 1737. by Mr Jos. Nic. de L’Isle, First Professor of Astronomy, and F. R. S., Translated from the French, Printed at St. Petersbourgh, Phil. Trans. R. Soc. Lond. 40, 27–49 (1737).
Euler L. Preface of the Atlas Geographicus omnes orbis terrarum regiones in XLI tabulis exhibens, Académie Royale des Sciences et Belles Lettres de Prusse, Berlin, 1753. Opera Omnia. Series 3, Volume 2, p. 305–317.
De Lagrange J.-L. Sur la construction des cartes géographiques. Nouveaux mémoires de l’Académie royale des sciences et belles-lettres de Berlin, année 1779, Premier mémoire, Œuvres complètes, tome 4, 637–664. Second mémoire Œuvres complètes, tome 4, 664–692.