Ancient calculations and observations

In summary, the ancient Greeks used a stick and measurements of the shadow length at noon to calculate the angle of the sun and estimate the Earth's circumference. They also used messengers' travel times to estimate distances between two locations. This allowed them to express the diameter of the Earth in familiar units and make accurate conclusions despite limited technology. Additionally, Eratosthenes is credited with a remarkable job in calculating the Earth's circumference.
  • #1
scerab
2
0
Would anyone help me understand how did the ancient Greeks managed to calculate the earth’s circumference using knowledge of the angle of elevation of the Sun. I wonder if they had any means of magnification such as lens. They did make some pretty accurate conclusions for the limited technology they used.
Another question: were the ancient Greeks the first to assume the Earth was round rather then flat?
Thanks in advance
 
Astronomy news on Phys.org
  • #2
The basis tool that was used to estimate the Earth's circumference was a stick of fixed length. The length of the shadow at noon was measured at two different locations (I don't remember the distance apart, but I believe it was over 100 miles) along a north-south line. From the shadow lengths, the angle of the sun at these locations could be calculated.
 
Last edited:
  • #3
The distance between those two locations was considered "known" in terms of stadia, and here things turn a bit murky, but I believe that messengers regularly ran between the two towns and their times formed a crude estimate of distance. Thus the Greeks were able to express the diameter of the Earth in terms of a familiar unit, the stadium.
 

Related to Ancient calculations and observations

1. How did ancient civilizations perform calculations without modern technology?

Ancient civilizations used various methods such as counting with fingers, using tally marks, and using simple devices like abacus to perform calculations. They also developed sophisticated mathematical systems, such as the Mayan number system, which could perform complex calculations.

2. What kind of observations did ancient cultures make?

Ancient cultures made observations of the natural world, such as the movements of celestial bodies, changes in weather patterns, and the behavior of animals. They also made observations of human behavior, societal structures, and historical events.

3. How accurate were ancient calculations and observations?

The accuracy of ancient calculations and observations varied among different civilizations. Some civilizations, such as the Greeks and Egyptians, made highly accurate astronomical observations and calculations. However, there were also instances of errors and misconceptions in their calculations, which were later corrected by modern science.

4. What tools and methods did ancient civilizations use for calculations and observations?

Ancient civilizations used a variety of tools and methods for calculations and observations, including counting boards, geometry, measuring instruments like the sundial and water clock, and astronomical devices like the astrolabe and armillary sphere. They also used mathematical principles and techniques, such as algebra and trigonometry.

5. How did ancient calculations and observations contribute to modern science?

Ancient calculations and observations laid the foundation for modern science. The accurate astronomical observations of ancient civilizations were crucial in developing our understanding of the universe and forming the basis of modern astronomy. Their mathematical systems and methods also influenced the development of modern mathematics and science.

Similar threads

  • Astronomy and Astrophysics
Replies
7
Views
2K
  • Astronomy and Astrophysics
Replies
6
Views
2K
  • Art, Music, History, and Linguistics
Replies
4
Views
840
  • Astronomy and Astrophysics
7
Replies
226
Views
11K
  • Astronomy and Astrophysics
Replies
5
Views
3K
  • Astronomy and Astrophysics
Replies
15
Views
7K
  • Astronomy and Astrophysics
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
648
  • Art, Music, History, and Linguistics
Replies
7
Views
3K
  • Astronomy and Astrophysics
Replies
3
Views
2K
Back
Top