Item Details

Surveying Instruments of Greece and Rome

M.J.T. Lewis
Format
Book
Published
Cambridge ; New York : Cambridge University Press, 2001.
Language
English
ISBN
0521792975 (hbk.)
Contents
  • Part I Instruments and Methods
  • A. Precursors of the Greeks 13
  • B. Measuring distances 19
  • C. Orientation and right angles 22
  • D. Measuring heights 23
  • E. Levelling 27
  • 2 Background to the dioptra
  • A. Sighting tube 36
  • B. Astronomical instruments 38
  • C. Hipparchan dioptra 41
  • D. Measuring rod 42
  • E. Gamaliel's tube 46
  • F. Philo's level and staff 48
  • 3 Dioptra 51
  • A. Treatises 53
  • B. Sources of the treatises 62
  • C. Minor sources 66
  • D. Plane astrolabe 67
  • E. Standard dioptra 71
  • F. Hero's dioptra 82
  • G. Levelling 89
  • H. Other surveys 97
  • I. Chronological conclusions 101
  • J. Testing a reconstructed dioptra 103
  • 4 Libra
  • A. Evidence 109
  • B. Testing a reconstructed libra 116
  • 5 Groma
  • A. Grids 120
  • B. Groma and its use 124
  • 6 Hodometer 134
  • Part II Practical Applications
  • 7 Measurement of the earth 143
  • 8 Mountain heights 157
  • 9 Canals and aqueducts
  • A. Early canal schemes 167
  • B. Aqueduct surveying 170
  • C. Nimes aqueduct and others 181
  • D. Challenges of surveying 191
  • 10 Tunnels
  • A. Categories 197
  • B. Alignment 200
  • C. Level 204
  • D. Meeting 206
  • E. Instruments 213
  • 11 Roman roads
  • B. Interpolation and extrapolation 218
  • C. Successive approximation 220
  • D. Dead reckoning 224
  • E. Geometrical construction 232
  • Part III Sources
  • Treatises
  • Hero of Alexandria: Dioptra 259
  • Julius Africanus: Cesti 1 15 286
  • Anonymus Byzantinus: Geodesy 289
  • Al-Karaji: The Search for Hidden Waters XXIII 298
  • Basic elements (Chapter 1) 303
  • Background to the dioptra (Chapter 2) 305
  • Dioptra (Chapter 3) 308
  • Libra (Chapter 4) 318
  • Groma (Chapter 5) 323
  • Hodometer (Chapter 6) 329
  • Measurement of the earth (Chapter 7) 332
  • Mountain heights (Chapter 8) 335
  • Canals and aqueducts (Chapter 9) 340
  • Tunnels (Chapter 10) 345
  • Roman roads (Chapter 11) 347
  • Appendix Uncertain devices
  • A. U-tube level 349
  • B. Dioptra on a coin 350
  • C. Dodecahedrons 350
  • D. 'Cross-staff' 351
  • E. Sagui's instruments 352.
Description
xx, 389 p. : ill. ; 24 cm.
Notes
Includes bibliographical references (p. 355-368) and indexes.
Technical Details
  • Access in Virgo Classic

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    g| Part I t| Instruments and Methods -- g| A. t| Precursors of the Greeks g| 13 -- g| B. t| Measuring distances g| 19 -- g| C. t| Orientation and right angles g| 22 -- g| D. t| Measuring heights g| 23 -- g| E. t| Levelling g| 27 -- g| 2 t| Background to the dioptra -- g| A. t| Sighting tube g| 36 -- g| B. t| Astronomical instruments g| 38 -- g| C. t| Hipparchan dioptra g| 41 -- g| D. t| Measuring rod g| 42 -- g| E. t| Gamaliel's tube g| 46 -- g| F. t| Philo's level and staff g| 48 -- g| 3 t| Dioptra g| 51 -- g| A. t| Treatises g| 53 -- g| B. t| Sources of the treatises g| 62 -- g| C. t| Minor sources g| 66 -- g| D. t| Plane astrolabe g| 67 -- g| E. t| Standard dioptra g| 71 -- g| F. t| Hero's dioptra g| 82 -- g| G. t| Levelling g| 89 -- g| H. t| Other surveys g| 97 -- g| I. t| Chronological conclusions g| 101 -- g| J. t| Testing a reconstructed dioptra g| 103 -- g| 4 t| Libra -- g| A. t| Evidence g| 109 -- g| B. t| Testing a reconstructed libra g| 116 -- g| 5 t| Groma -- g| A. t| Grids g| 120 -- g| B. t| Groma and its use g| 124 -- g| 6 t| Hodometer g| 134 -- g| Part II t| Practical Applications -- g| 7 t| Measurement of the earth g| 143 -- g| 8 t| Mountain heights g| 157 -- g| 9 t| Canals and aqueducts -- g| A. t| Early canal schemes g| 167 -- g| B. t| Aqueduct surveying g| 170 -- g| C. t| Nimes aqueduct and others g| 181 -- g| D. t| Challenges of surveying g| 191 -- g| 10 t| Tunnels -- g| A. t| Categories g| 197 -- g| B. t| Alignment g| 200 -- g| C. t| Level g| 204 -- g| D. t| Meeting g| 206 -- g| E. t| Instruments g| 213 -- g| 11 t| Roman roads -- g| B. t| Interpolation and extrapolation g| 218 -- g| C. t| Successive approximation g| 220 -- g| D. t| Dead reckoning g| 224 -- g| E. t| Geometrical construction g| 232 -- g| Part III t| Sources -- t| Treatises -- t| Hero of Alexandria: Dioptra g| 259 -- t| Julius Africanus: Cesti 1 15 g| 286 -- t| Anonymus Byzantinus: Geodesy g| 289 -- t| Al-Karaji: The Search for Hidden Waters XXIII g| 298 -- t| Basic elements (Chapter 1) g| 303 -- t| Background to the dioptra (Chapter 2) g| 305 -- t| Dioptra (Chapter 3) g| 308 -- t| Libra (Chapter 4) g| 318 -- t| Groma (Chapter 5) g| 323 -- t| Hodometer (Chapter 6) g| 329 -- t| Measurement of the earth (Chapter 7) g| 332 -- t| Mountain heights (Chapter 8) g| 335 -- t| Canals and aqueducts (Chapter 9) g| 340 -- t| Tunnels (Chapter 10) g| 345 -- t| Roman roads (Chapter 11) g| 347 -- g| Appendix t| Uncertain devices -- g| A. t| U-tube level g| 349 -- g| B. t| Dioptra on a coin g| 350 -- g| C. t| Dodecahedrons g| 350 -- g| D. t| 'Cross-staff' g| 351 -- g| E. t| Sagui's instruments g| 352.
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