[Proj] Mémoire sur la représentation des surfaces et les projections des cartes (Auguste Tissot, 1881)

Karney, Charles ckarney at Sarnoff.com
Tue Jan 12 09:55:36 EST 2010

Thanks for the E-mail and my apologies for not replying sooner.  I see
that the Google link is to a search, which, in general, may return
multiple (often, irrelevant) results.  I've typically use a reference
to a specific work within Google, e.g., for Tissot's book


It's also possible to refer to a specific page of a book.  This is
really important when refering to journal articles (for which Google
search will be distinctly iffy), e.g., here's a paper by Chebychev in
a St. Petersburg journal (1856):


I've started assembling a list of articles on map projections.  Here's
what I've got so far:

P. Murdoch,
On the best form of geographical maps,
Phil. Trans. 50, Pt. 2, 553-562 (1758, publ. 1759).
http://books.google.com/books?id=5IIFAAAAQAAJ&pg=PA553 (figure missing)

J. H. Lambert,
Anmerkungen und Zusätze zur Entwerfung der Land- und Himmelscharten,
in Beyträge zum Gebrauche der Mathematik und deren Anwendung
(Part 3, Berlin, 1772), pp. 105-199.
Reprint: Edited by A. Wangerin, Ostwald's Klassiker, No. 54,
(Engelmann, Leipzig, 1894)
English translation:
Notes and Comments on the Composition of Terrestrial
and Celestial Maps, by W. R. Tobler,
Michigan Geographical Publication No. 8 (U. Mich., 1972)

L. Euler,
De Repraestentatione Superficiei Sphaericae super Plano
[On the representation of spherical surfaces on a plane],
Acta Acad. Sci. Imp. Petropolitanae 1, 107-132 (1777, publ. 1778).
http://books.google.com/books?id=IPnQAAAAMAAJ&pg=RA1-PA107 (figures missing)
alt: http://math.dartmouth.edu/~euler/pages/E490.html
German translation:
Ueber die Abbildung einer Kugelfläche in einer Ebene, by A. Wangerin,
in Drei Abhandlungen über Kartenprojection,
(Ostwald's Klassiker, No. 93, Engelmann, Leipzig, 1898),
pp. 3-37.

L. Euler,
De Projectione Geographica Superficiei Sphaericae
[On the geographical projections of spherical surfaces],
Acta Acad. Sci. Imp. Petropolitanae 1, 133-142 (1777, publ. 1778).
http://books.google.com/books?id=IPnQAAAAMAAJ&pg=RA1-PA133 (figures missing)
alt: http://math.dartmouth.edu/~euler/pages/E491.html
English translation:
On a geographic projection of the surface of the sphere, by G. W. Heine (2008).
German translation:
Ueber die Darstellung einer Kugelfläche auf einer Karte, by A. Wangerin,
in Drei Abhandlungen über Kartenprojection (op. cit.)
pp. 38-52.

L. Euler,
De Projectione Geographica de Lisliana in Mappa Generali Imperii Russici
Acta Acad. Sci. Imp. Petropolitanae 1, 143-153 (1777, publ. 1778).
http://books.google.com/books?id=IPnQAAAAMAAJ&pg=RA1-PA143 (figures missing)
alt: http://math.dartmouth.edu/~euler/pages/E492.html
English translation:
On de Lisle's geographic projection and its use in the general map of
the Russian Empire, by G. W. Heine (2007).
German translation:
Ueber die De Lisle'sche Kartenprojection und ihre Anwendung auf die
Gesammtkarte des russischen Reiches, by A. Wangerin,
in Drei Abhandlungen über Kartenprojection (op. cit.)
pp. 38-52.

L. Euler,
Trigonometria sphaerica universa, ex primis principiis breviter et
dilucide derivata [A universal spherical trigonometry, derived briefly
and from first prinicples],
Acta Acad. Sci. Imp. Petropolitanae 3, Pt. 1, 72-86 (1779, publ. 1782).
http://books.google.com/books?id=GScZAAAAYAAJ&pg=RA1-PA72 (figures missing)
alt: http://math.dartmouth.edu/~euler/pages/E524.html
German translation:
Allgemeine sphärische Trigonometrie in kurzer und durchsichtiger Entwicklung,
von den einfachsten Voraussetzungen ausgehend, in
''Zwei Abhandlungen über sphärische Trigonometrie'' by E. Hammer
(Ostwald's Klassiker, No. 73, Engelmann, Leipzig 1896), pp. 40-54.

J. L. Lagrange,
Sur la Construction des Cartes Géographiques
[On the construcation of maps],
Nouveau Mém. de l'Acad. Roy. des Sciences de Berlin, 161-201 (1779, publ. 1781),
German translation:
Ueber die Construction geographischer Karten, by A. Wangerin,
in Ueber Kartenprojection,
Abhandlungen von Lagrange (1779) und Gauss (1822),
(Ostwald's Klassiker, No. 55, Engelmann, Leipzig, 1894),
pp. 3-56.

H. C. Albers,
Über Murdoch's drey Kegelprojection [Murdoch's three conic projections],
Monat. Corr. Zach 11, 97-114, 240-250 (Gotha, 1805).

H. C. Albers,
Beschreibung einer neuen Kegelprojection [A new conic projection],
Monat. Corr. Zach 12, 450-459 (Gotha, 1805).

C. B. Mollweide,
Ueber die vom Prof. Schmidt in Gießen in der zweyten Abteilung seines
Handbuchs der Naturlehre S. 595 angegebene Projection der
[On Schmidt's  projection of the half sphere],
Monat. Corr. Zach 12, 152-163 (Gotha, 1805).

C. F. Gauss,
Allgemeine Auflösung der Aufgabe: die Theile einer gegeben Fläche auf
einer andern gegeben Fläche so abzubilden, daß die Abbildung dem
Abgebildeten in den kleinsten Theilen ähnlich wird
{General solution of the conformal projections],
Schumacher's Astron. Abhandlungen 3, 1-30 (Altona, 1825).
Reprint: edited by A. Wangerin,
in Ueber Kartenprojection (op. cit.), pp. 57-81

P. L. Chebyshev,
Sur la Construction des Cartes Géographiques
[On Constructing Maps],
Bull. Cl. Phys.-Math. de l'Acad. Imp. Sci. 14 (329), 257-261
(St. Petersburg, 1856).

G. B. Airy,
Explanation of a Projection by Balance of Errors for Maps applying to a
very large extent of the Earth's Surface and Comparison of this
projection with other projections,
Phil. Mag. 22 (4th ser.), 409-421 (1861).

M. A. P. d'Avezac,
Coup d'oeil historique sur la projection des cartes de géographie,
[Survey of the history of cartography],
extract of Bull. Soc. Géog. 1863
(Paris, 1863).

E. Beltrami,
Ricerche di analisi applicata alla geometria,
Gior. di Matematiche
2, 267-282 and 297-306 and 331-339 and 355-375 (Naples, 1864);
3, 15-22 and 33-41 and 82-91 and 228-240 and 311-314 (Naples, 1865).

F. Eisenlohr,
Ueber Flächenabbildung,
Jour. Crelle 72, 143-151 (1870).

C. P. Daly,
On the early history of cartography, or what we know of maps and
map-making before the time of Mercator,
J. Am. Geog. Soc. of New York 11, 1-40 (1879).

A. Tissot,
Mémoire sur la représentation des surfaces et les projections des cartes
[On the representation of surfaces and map projections]
(Gauthier-Villars, Paris, 1881).

T. Craig,
A Treatise on Projections
(US Coast and Geodetic Survey, 1882).

J. Gall,
Use of Cylindrical Projections for Geographical, Astronomical, and
Scientific Purposes,
Scottish Geographical Mag. 1,119-123 (Edinburgh,1885).

T. G. Rylands,
The geography of Ptolemy elucidated
(Dublin, 1893).

O. Schreiber,
Zur konformen Doppelprojection der Preussischen Landesaufnahme
Z. f. Vermessungswesen 28, 491-502 and 593-613 (1899);
29, 257-281 and 289-310 (1900)

G. W. Hill,
Application of Tchébychef's principle in the projection of maps,
Ann. Math. 10 (2nd Ser.), 23-36 (Cambridge, MA, 1908).

J. K. Whittemore, 
Two principles of map making,
Ann. Math. 10 (2nd Ser.), 9-22 (Cambridge, MA, 1908).

L. Krüger,
Konforme Abbildung des Erdellipsoids in der Ebene
[Conformal mapping of the earth ellipsoid to the plane]
New Series 52, 172 pp. (Kön. Preuss. Geod. Inst., 1912).

L. Krüger,
Formeln zur konformen Abbildung des Erdellipsoids in der Ebene
[Formulas for the conformal projection of the earth ellipsoid to the
(Berlin, 1919).

E. L. Jones,
Elements of chart making,
Publ. No. 38 (US Coast and Geodetic Survey, 1916).

C. H. Deetz,
The Lambert conformal conic projection with two standard parallels
including a comparison of the Lambert projection with the Bonne and
polyconic projections,
Publ. No. 47 (US Coast and Geodetic Survey, 1918).

C. H. Deetz and O. S. Adams,
Elements of map projection with applications to map and chart
Publ. No. 68 (US Coast and Geodetic Survey, 1928).

C. H. Deetz,
Publ. No. 205 (US Coast and Geodetic Survey, 1936).

O. S. Adams,
General theory of the Lambert conformal conic projection,
Publ. No. 53 (US Coast and Geodetic Survey, 1918).

O. S. Adams,
General theory of polyconic projections,
Publ. No. 57 (US Coast and Geodetic Survey, 1919).

O. S. Adams,
A study of map projections in general,
Publ. No. 60 (US Coast and Geodetic Survey, 1919).

O. S. Adams,
Elliptic functions applied to conformal world maps,
Publ. No. 112 (US Coast and Geodetic Survey, 1925).

O. S. Adams,
Conformal projection of the sphere within a square,
Publ. No. 153 (US Coast and Geodetic Survey, 1929).

O. S. Adams,
General theory of equivalent projections,
Publ. No. 236 (US Coast and Geodetic Survey, 1945).

P. D. Thomas,
Conformal projections in geodesy and cartography,
Publ. No. 251 (US Coast and Geodetic Survey, 1952).

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