Roger Herz-Fischler

The Shape of the Great Pyramid

• Broschiertes Buch

Produktbeschreibung

Many theories surround the geometric and mathematical factors that determined the shape of the Great Pyramid. Herz-Fischler examines and tests the theories of a range of, mostly Victorian, archaeologists, architects, engineers and mathematicians including Jomard, Perring, Ramee and Petrie.

Produktdetails

• Verlag: Wilfrid Laurier University Press
• Seitenzahl: 305
• Erscheinungstermin: 20. Oktober 2000
• Englisch
• Abmessung: 229mm x 154mm x 17mm
• Gewicht: 404g
• ISBN-13: 9780889203242
• ISBN-10: 0889203245
• Artikelnr.: 37261005

Autorenporträt

Roger Herz-Fischler teaches mathematics at Carleton University.

Inhaltsangabe

Table of Contents for
The Shape of the Great Pyramid by Roger Herz-Fischler
Acknowledgements
Introduction
Part I. The Context
Chapter 1. Historical and Architectural Context
Chapter 2. External Dimensions and Construction
Surveyed Dimensions
Angle of Inclination of the Faces
Egyptian Units of Measurement
Building and Measuring Techniques
Chapter 3. Historiography
Early Writings on the Dimensions
Modern Historiographers
Part II. One Pyramid, Many Theories
Diagrams
Chapter 4. A Summary of Theories
Definitions of the Symbols-Observered Values
A Comparison of the Theories
Chapter 5. Seked Theory
The Mathematical Description of the Theory
Seked Problems in the Rhind Papyrus
Archaeological Evidence
Early Interpretations of the Rhind Papyrus
Petrie
Borchardt
Philosophical and Practical Considerations
Chapter 6. Arris = Side
The Mathematical Description of the Theory
Herodotus (vth century)
Greaves (1641)
Paucton (1781)
Jomard (1809)
Agnew (1838)
Fergusson (1849)
Becektt (1876)
Howards, Wells (1912)
Chapter 7. Side : Apothem = 5 : 4
The Mathematical Description of the Theory
Plutarch's Isis and Osiris
Jomard (1809)
Perring (1842)
Ramée (1860)
Chapter 8. Side : Height = 8 : 5
The Mathematical Description of the Theory
Jomard (1809)
Agnew (1838)
Perring (1840?)
Röber (1855)
Ramée (1860)
Viollet-le-Duc (1863)
Garbett, (1866)
A.X., (1866)
Brunés (1967)
Chapter 9. Pi-theory
The Mathematical Description of the Theory
Egyptian Circle Calculations
Agnew (1838)
Vyse (1840)
Chantrell (1847)
Taylor (1859)
Herschel (1860)
Smyth (1864)
Petrie (1874)
Beckett (1876)
Proctor (1877)
Twentieth-Century Authors
Chapter 10. Heptagon Theory
The Mathematical Description of the Theory
Fergusson (1849)
Texier (1934)
Chapter 11. Kepler Triangle Theory
The Mathematical Description of the Theory
Kepler Triangle and Equal Area Theories
Kepler Triangle, Golden Number, Equal Area
Röber (1855)
Drach, Garbett (1866)
Jarolimek (1890)
Neikes (1907)
Chapter 12. Height = Golden Number
The Mathematical Description of the Theory
Röber (1855)
Zeising (1855)
Misinterpretations of Röber
Choisy (1899)
Chapter 13. Equal Area Theory
The Mathematical Description of the Theory
The Passage from Herodotus
Agnew (1838)
Taylor (1859)
Herschel (1860)
Thurnell (1866)
Garbett (1866)
Smyth (1874)
Hankel (1874)
Beckett and Friend (1876)
Proctor (1880)
Ballard (1882)
Petrie (1883)
Twentieth-Century Authors
Chapter 14. Slope of the Arris = 9/10
The Mathematical Description of the Theory
William Petrie (1867)
James and O'Farrell (1867)
Smyth (1874)
Beckett (1876), Bonwick (1877), Ballard (1882)
Flinders Petrie (1883)
Texier (1939)
Lauer (1944)
Chapter 15. Height : Arris = 2 : 3
The Mathematical Description of the Theory
Unknown (before 1883)
Chapter 16. Additional Theories
Part III. Conclusions
Chapter 17. Philosophical Considerations
Chapter 18. Sociology of the Theories-A Case Study: The Pi-theory
The Social and Intellectual Background in Victorian Britian
Relationship of the Pi-theory to Other Topics
A Profile of the Authors
Chapter 19. Conclusions
The Sociology of the Theories
What Was the Design Principle?
Appendices
Appendix 1. An Annotated Bibliography
Appendix 2. Tombal Superstructures: References and Dimensions
Appendix 3. Egyptian Measures
Appendix 4. Egyptian Mathematics
Appendix 5. Greek and Greek-Egyptian Measures
Notes
Bibliography/Notes