Eratosthenes and the Measurement of the Earth's Circumference (c.230 BC)
Eratosthenes and the Measurement of the Earth's Circumference (c.230 BC)
Matthew, Christopher A.
Oxford University Press
06/2023
352
Dura
Inglês
9780198874294
15 a 20 dias
Descrição não disponível.
Acknowledgements
Contents
Abbreviations
Illustrations
Tables
Preface
Section 1: Historical Background
1.1: The Sources
1.2: Eratosthenes, the man
1.3: Alexandria
1.4: Greek astronomical thought before the time of Eratosthenes
Section 2: The Experiment
2.1: Eratosthenes' experiment
2.2: Eratosthenes' sundial
2.3: Time and the solstices in Ancient Eygpt and Greece
2.4: Ancient Eygptian and Greek sundials to the time of Eratosthenes
2.5: A replica of Eratosthenes' skaphe
Section 3: The Analysis
3.1: The angle
3.2: Errors in Eratosthenes' methodology
3.2.1 The effect of Syene and Alexandria not sitting on the same Longtitudinal Meridian
3.2.2 The effect of Syene not sitting on the Tropic of Cancer
3.2.3 The effect of the oblateness of the Earth
3.2.4 The effect of non-parallel rays of light from the sun
3.2.5 The effect of the components of the shadow
3.2.6 The effect of the Earth's rotation
3.2.7 The effect of atmospheric refraction
3.2.8 The effect of operational and Instrumental error
3.2.9 The total effect of the errors
Section 4: The Stade
4.1: The size of the stade
4.2: Previous estimates of the size of Eratosthenes' stade
Section 5: The Re-examination
5.1: Eratosthenes and the 180m stade
5.1.1 Caspian Gates to Hecatompylos
5.1.2 Hecatompylos to Alexandria Aerion
5.1.3 Alexandria Aerion to Prophthasia
5.1.4 Prophthasia to Arachoti Polis
5.1.5 Arachoti Polis to Hortospana
5.1.6 Alexandria Aerion to Bactra-Zariaspa
5.1.7 Alexandria to Syene
5.2: The 180m Stade and the circumference of the Earth
Section 6: The Circumference
6.1: The Accuracy of Eratosthenes' Circumference
6.2: Eratosthenes' legacy
References
Ancient and medieval sources
Modern sources
Electronic sources
Contents
Abbreviations
Illustrations
Tables
Preface
Section 1: Historical Background
1.1: The Sources
1.2: Eratosthenes, the man
1.3: Alexandria
1.4: Greek astronomical thought before the time of Eratosthenes
Section 2: The Experiment
2.1: Eratosthenes' experiment
2.2: Eratosthenes' sundial
2.3: Time and the solstices in Ancient Eygpt and Greece
2.4: Ancient Eygptian and Greek sundials to the time of Eratosthenes
2.5: A replica of Eratosthenes' skaphe
Section 3: The Analysis
3.1: The angle
3.2: Errors in Eratosthenes' methodology
3.2.1 The effect of Syene and Alexandria not sitting on the same Longtitudinal Meridian
3.2.2 The effect of Syene not sitting on the Tropic of Cancer
3.2.3 The effect of the oblateness of the Earth
3.2.4 The effect of non-parallel rays of light from the sun
3.2.5 The effect of the components of the shadow
3.2.6 The effect of the Earth's rotation
3.2.7 The effect of atmospheric refraction
3.2.8 The effect of operational and Instrumental error
3.2.9 The total effect of the errors
Section 4: The Stade
4.1: The size of the stade
4.2: Previous estimates of the size of Eratosthenes' stade
Section 5: The Re-examination
5.1: Eratosthenes and the 180m stade
5.1.1 Caspian Gates to Hecatompylos
5.1.2 Hecatompylos to Alexandria Aerion
5.1.3 Alexandria Aerion to Prophthasia
5.1.4 Prophthasia to Arachoti Polis
5.1.5 Arachoti Polis to Hortospana
5.1.6 Alexandria Aerion to Bactra-Zariaspa
5.1.7 Alexandria to Syene
5.2: The 180m Stade and the circumference of the Earth
Section 6: The Circumference
6.1: The Accuracy of Eratosthenes' Circumference
6.2: Eratosthenes' legacy
References
Ancient and medieval sources
Modern sources
Electronic sources
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Acknowledgements
Contents
Abbreviations
Illustrations
Tables
Preface
Section 1: Historical Background
1.1: The Sources
1.2: Eratosthenes, the man
1.3: Alexandria
1.4: Greek astronomical thought before the time of Eratosthenes
Section 2: The Experiment
2.1: Eratosthenes' experiment
2.2: Eratosthenes' sundial
2.3: Time and the solstices in Ancient Eygpt and Greece
2.4: Ancient Eygptian and Greek sundials to the time of Eratosthenes
2.5: A replica of Eratosthenes' skaphe
Section 3: The Analysis
3.1: The angle
3.2: Errors in Eratosthenes' methodology
3.2.1 The effect of Syene and Alexandria not sitting on the same Longtitudinal Meridian
3.2.2 The effect of Syene not sitting on the Tropic of Cancer
3.2.3 The effect of the oblateness of the Earth
3.2.4 The effect of non-parallel rays of light from the sun
3.2.5 The effect of the components of the shadow
3.2.6 The effect of the Earth's rotation
3.2.7 The effect of atmospheric refraction
3.2.8 The effect of operational and Instrumental error
3.2.9 The total effect of the errors
Section 4: The Stade
4.1: The size of the stade
4.2: Previous estimates of the size of Eratosthenes' stade
Section 5: The Re-examination
5.1: Eratosthenes and the 180m stade
5.1.1 Caspian Gates to Hecatompylos
5.1.2 Hecatompylos to Alexandria Aerion
5.1.3 Alexandria Aerion to Prophthasia
5.1.4 Prophthasia to Arachoti Polis
5.1.5 Arachoti Polis to Hortospana
5.1.6 Alexandria Aerion to Bactra-Zariaspa
5.1.7 Alexandria to Syene
5.2: The 180m Stade and the circumference of the Earth
Section 6: The Circumference
6.1: The Accuracy of Eratosthenes' Circumference
6.2: Eratosthenes' legacy
References
Ancient and medieval sources
Modern sources
Electronic sources
Contents
Abbreviations
Illustrations
Tables
Preface
Section 1: Historical Background
1.1: The Sources
1.2: Eratosthenes, the man
1.3: Alexandria
1.4: Greek astronomical thought before the time of Eratosthenes
Section 2: The Experiment
2.1: Eratosthenes' experiment
2.2: Eratosthenes' sundial
2.3: Time and the solstices in Ancient Eygpt and Greece
2.4: Ancient Eygptian and Greek sundials to the time of Eratosthenes
2.5: A replica of Eratosthenes' skaphe
Section 3: The Analysis
3.1: The angle
3.2: Errors in Eratosthenes' methodology
3.2.1 The effect of Syene and Alexandria not sitting on the same Longtitudinal Meridian
3.2.2 The effect of Syene not sitting on the Tropic of Cancer
3.2.3 The effect of the oblateness of the Earth
3.2.4 The effect of non-parallel rays of light from the sun
3.2.5 The effect of the components of the shadow
3.2.6 The effect of the Earth's rotation
3.2.7 The effect of atmospheric refraction
3.2.8 The effect of operational and Instrumental error
3.2.9 The total effect of the errors
Section 4: The Stade
4.1: The size of the stade
4.2: Previous estimates of the size of Eratosthenes' stade
Section 5: The Re-examination
5.1: Eratosthenes and the 180m stade
5.1.1 Caspian Gates to Hecatompylos
5.1.2 Hecatompylos to Alexandria Aerion
5.1.3 Alexandria Aerion to Prophthasia
5.1.4 Prophthasia to Arachoti Polis
5.1.5 Arachoti Polis to Hortospana
5.1.6 Alexandria Aerion to Bactra-Zariaspa
5.1.7 Alexandria to Syene
5.2: The 180m Stade and the circumference of the Earth
Section 6: The Circumference
6.1: The Accuracy of Eratosthenes' Circumference
6.2: Eratosthenes' legacy
References
Ancient and medieval sources
Modern sources
Electronic sources
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.