Details of Aritmetische und Geometrische Progreß Tabulen: Printed Tables, Manuscripts, and Mathematical Details

  • Kathleen Clark
Part of the Science Networks. Historical Studies book series (SNHS, volume 53)


Two extant Aritmetische und Geometrische Progreß Tabulen manuscripts were considered for the commentary that appears in Chapter  3. In this chapter, the two copies (the Gdańsk (Gk) manuscript and the Graz (Gz) manuscript), as well as an example of a copy that contains only the title page and Bürgi’s tables (e.g., the printed copy in München (Mn)), are briefly described. Then, further details of the Graz copy are given so as to inform the transcription, English translation, and commentary presented in Chapter  3.


Arithmetic Progression Geometric Progression Title Page Implied Scale Common Ratio 
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  1. Folta J, Nový L (1968) Zu Bürgi’s Anleitung zu den Logarithmentafeln. Acta Hist Rerum Nat Tech 4:97–126Google Scholar
  2. Gieswald HR (1856) Justus Byrg als Mathematiker und dessen Einleitung in seine Logarithmen. In: Bericht über die St. Johannis-Schule, vol 35, pp 1–36. DanzigGoogle Scholar
  3. Gronau D (1996) The logarithms—from calculation to functional equations. Not South Afr Math Soc 28:60–66Google Scholar
  4. Katz VJ (1998) A history of mathematics: an introduction. Addison-Wesley, ReadingzbMATHGoogle Scholar
  5. Lutstorf HT (2005) Die Logarithmentafeln Jost Bürgis. Bemerkungen zur Stellenwert- und Basisfrage. Mit Kommentar zu Bürgis “Gründlichem Unterricht”. ETH-Bibliothek, ZürichGoogle Scholar
  6. Lutstorf HT, Walter M (1992) Jost Bürgi’s “Progress Tabulen” (Logarithmen). ETH-Bibliothek, ZürichGoogle Scholar
  7. Roegel D (2010a) Bürgi’s “Progress Tabulen” (1620): logarithmic tables without logarithms. Accessed 15 Mar 2013
  8. Staudacher F (2014) Jost Bürgi, Johannes Kepler und der Kaiser. Verlag NZZ Libro, ZürichGoogle Scholar
  9. The City of London School Magazine (1877) vol 1. E. Matthews & Sons, LondonGoogle Scholar
  10. Waldvogel J (2012) Jost Bürgi and the discovery of the logarithms. Seminar für Angewandte Mathematik. ETH-Zürich, ZürichGoogle Scholar
  11. Waldvogel J (2014) Jost Bürgi and the discovery of the logarithms. Elem Math 69(3):89–117zbMATHMathSciNetCrossRefGoogle Scholar
  12. Zons M (1616) Ein new wolgegründetes Kunst- und artigs Rechenbuch. Schmitz, KölnGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Kathleen Clark
    • 1
  1. 1.School of Teacher EducationThe Florida State UniversityTallahasseeUSA

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