Base 60 (sexagesimal) - Numberphile

Updated: November 19, 2024

Numberphile


Summary

The video explores the historical significance of the number 60, tracing its origins back to the Babylonians who used it for time measurement. The number 60's divisibility by various numbers made it a practical choice for calculations and time divisions. It was preferred by the Babylonians due to their counting method using fingers and knuckles, leading to 60 becoming a base number for various systems. This number's connection to the solar year length of 360 days is evident in the Babylonians' subdivision of a circle into 360 degrees, minutes, and seconds. The video sheds light on the Babylonians' astronomical expertise and the lasting impact of 60 on our modern timekeeping systems.


Origin of the Number 60

Exploring the significance of the number 60, its historical origins with the Babylonians, and how it is divisible by various numbers.

The Use of 60 in Timekeeping

Discussing how the number 60 is commonly used in time measurement with 60 seconds in a minute and 60 minutes in an hour, and why the number 60 is preferred for such divisions.

Connection to Babylonians' Counting System

Explaining how the Babylonians counted to 60 using their fingers and knuckles, leading to the adoption of 60 as a base number for calculations and time divisions.

Babylonians' Astronomy and Measurement

Highlighting the Babylonians' expertise in astronomy, the link between 60 and the solar year length of 360 days, and the subdivision of the circle into 360 degrees and further minute and second divisions.


FAQ

Q: What is the historical significance of the number 60?

A: The number 60 has historical origins with the Babylonians who used it for time measurement and calculations.

Q: How did the Babylonians use the number 60 in their counting system?

A: The Babylonians counted to 60 using their fingers and knuckles, which led to 60 being adopted as a base number for calculations and time divisions.

Q: Why is the number 60 commonly used in time measurement?

A: The number 60 is preferred in time measurement due to its divisibility by various numbers, making it convenient for divisions like 60 seconds in a minute and 60 minutes in an hour.

Q: What is the connection between the number 60 and the solar year length according to Babylonian astronomy?

A: The Babylonians linked the number 60 to the solar year length of 360 days, which influenced the subdivision of circles into 360 degrees and further minute and second divisions.

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