The Science of the Shulba: A Study in Early Hindu Geometry (The Science of the Śulba: A Study in Early Hindu Geometry)
Geometry of the Baudhāyana, Āpastamba, Kātyāyana and Mānava Śulbasūtras: altar construction, Pythagorean theorem, squaring the circle, surds, transformations of figures.
- Language
- English
- Author
- Bibhutibhusan Datta
- Extent
- 1,720 passages, 57,648 words
- Text
- complete digital text
- Source
- archive.org · 1st ed., Calcutta: University of Calcutta 1932; scan on archive.org, OCR Gemini 3.8 Flash; chapters and… · Public domain in India: every author died before 1966 (Bibhutibhusan Datta †1958)
Contents
- c1 Front matter — 6 parts
- c2 The Science of the Sulba: A Study in Early Hindu Geometry — 14 parts
- c3 Preface — 7 parts
- c4 Contents — 53 parts
- c5 Abbreviations — 1 part
- c6 Chapter I. Śulbas — 34 parts
- c7 Chapter II. Commentators — 58 parts
- c8 Chapter III. Growth and Development of the Śulba — 120 parts
- c9 Chapter IV. Postulates — 62 parts
- c10 Chapter V. Constructions — 121 parts
- c11 Chapter VI. Combination of Areas — 89 parts
- c12 Chapter VII. Transformation of Areas — 85 parts
- c13 Chapter VIII. Areas and Volumes — 27 parts
- c14 Chapter IX. The Theorem of the Square of the Diagonal — 102 parts
- c15 Chapter X. Rational Rectangles — 131 parts
- c16 Chapter XI. Squaring the Circle — 99 parts
- c17 Chapter XII. Similar Figures — 93 parts
- c18 Chapter XIII. Geometrical Algebra — 83 parts
- c19 Chapter XIV. Indeterminate Problems — 3 parts
- c20 Chapter XV. Elementary Treatment of Surds — 16 parts
- c21 Chapter XVI. Fractions and Other Minor Matters — 2 parts
- c22 Appendix: Some Technical Terms of the Sulba — 51 parts
- c23 Bibliography of the Śulba — 65 parts
- c24 Index — 57 parts
- c25 Errata — 80 parts