Surveying Instruments of Greece and Rome

by
Format: Hardcover
Pub. Date: 2001-04-23
Publisher(s): Cambridge University Press
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Summary

The Greeks and, especially, the Romans are famous for the heroic engineering of their aqueducts, tunnels and roads. They also measured the circumference of the earth and the heights of mountains with fair precision. This book presents new translations (from Greek, Latin, Arabic, Hebrew and Syriac) of all the ancient texts concerning surveying, including major sources hitherto untapped. It explores the history of surveying instruments, notably the Greek dioptra and the Roman libra, and with the help of tests with reconstructions explains how they were used in practice. This is a subject which has never been tackled before in anything like this depth. The Greeks emerge as the pioneers of instrumental surveying and, though their equipment and methods were simple by modern standards, they and the Romans can be credited with a level of technical sophistication which must count as one of the greatest achievements of the ancient world.

Author Biography

M. J. T. Lewis is Senior Lecturer in Industrial Archaeology at the University of Hull

Table of Contents

List of figures
x
List of tables
xiii
Preface xv
Explanatory notes xvii
Introduction 1(12)
PART I: INSTRUMENTS AND METHODS
The basic elements
13(38)
Precursors of the Greeks
13(6)
Measuring distances
19(3)
Orientation and right angles
22(1)
Measuring heights
23(4)
Levelling
27(9)
Background to the dioptra
The sighting tube
36(2)
Astronomical instruments
38(3)
The Hipparchan dioptra
41(1)
The measuring rod
42(4)
Gamaliel's tube
46(2)
Philo's level and staff
48(3)
The dioptra
51(83)
The treatises
53(9)
The sources of the treatises
62(4)
The minor sources
66(1)
The plane astrolabe
67(4)
The standard dioptra
71(11)
Hero's dioptra
82(7)
Levelling
89(8)
Other surveys
97(4)
Chronological conclusions
101(4)
Testing a reconstructed dioptra
105(4)
The libra
The evidence
109(7)
Testing a reconstructed libra
116(4)
The groma
Grids
120(4)
The groma and its use
124(10)
The hodometer
134(9)
PART II: PRACTICAL APPLICATIONS
Measurement of the earth
143(14)
Mountain heights
157(89)
Canals and aqueducts
Early canal schemes
167(3)
Aqueduct surveying
170(11)
The Nimes aqueduct and others
181(10)
The challenges of surveying
191(6)
Tunnels
Categories
197(3)
Alignment
200(4)
Level
204(2)
Meeting
206(7)
Instruments
213(4)
Roman roads
Basic principles
217(1)
Interpolation and extrapolation
218(2)
Successive approximation
220(4)
Dead reckoning
224(8)
Geometrical construction
232(1)
Examples
233(13)
Epilogue
246(109)
PART III: THE SOURCES
The treatises
Hero of Alexandria: Dioptra
259(27)
Julius Africanus: Cesti 115
286(3)
Anonymus Byzantinus: Geodesy
289(9)
Al-Karaji: The Search for Hidden Waters XXIII
298(5)
Other sources
The basic elements (Chapter I)
303(2)
Background to the dioptra (Chapter 2)
305(3)
The dioptra (Chapter 3)
308(10)
The libra (Chapter 4)
318(5)
The groma (Chapter 5)
323(6)
The hodometer (Chapter 6)
329(3)
Measurement of the earth (Chapter 7)
332(3)
Mountain heights (Chapter 8)
335(5)
Canals and aqueducts (Chapter 9)
340(5)
Tunnels (Chapter 10)
345(2)
Roman roads (Chapter 11)
347(2)
Appendix: Uncertain devices
A. The U-tube level
349(1)
B. The dioptra on a coin
350(1)
C. Dodecahedrons
350(1)
D. The `cross-staff'
351(1)
E. Sagui's instruments
352(3)
Bibliography 355(14)
Index 369(9)
Index of ancient authors cited 378

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