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How was the size of Earth first measured? (2015)

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Re: How was the size of Earth first measured? (2015)

#31
post #20

I always struggled (and still struggle) with math. A couple of years ago, randomly browsing YouTube, I came across this home made video asking how they figured out the distance to the moon before modern technology. The host starts out small scale showing he can calculate the distance to things in his back yard using trigonometry and then scales it up to the moon. My mind was blown, because no one ever told me that. I…

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Re: How was the size of Earth first measured? (2015)

#32
post #20

I always struggled (and still struggle) with math. A couple of years ago, randomly browsing YouTube, I came across this home made video asking how they figured out the distance to the moon before modern technology. The host starts out small scale showing he can calculate the distance to things in his back yard using trigonometry and then scales it up to the moon. My mind was blown, because no one ever told me that. I…

I think you've highlighted well an outcome of the modern drive to "learn to pass exams" in many places. The original intention to "learn" has been lost or corrupted over time in a multi-century gradual example of Goodhart's Law in action.

Re: How was the size of Earth first measured? (2015)

#33
post #7

Eratosthenes was (IMO) pretty amazing in the range of interests and accomplishments: https://en.wikipedia.org/wiki/Eratosthenes His name came up recently on another post on a very different topic: https://news.ycombinator.com/item?id=37236099

I had always associated him with the earth's measurement and didn't know the others. It was great reading through all the other things this person had done in his time including mapping the known world, and the prime number sieve.

A truly fascinating polymath, it must have been so satisfying to identify previously unsolved problems, and come up with a solution for them that were more or less 'good enough'. I wonder what he would have made of the way we are today, or if he were born in this era, what kinds of problems he'd have identified that needed solving.

Re: How was the size of Earth first measured? (2015)

#34
post #20

I always struggled (and still struggle) with math. A couple of years ago, randomly browsing YouTube, I came across this home made video asking how they figured out the distance to the moon before modern technology. The host starts out small scale showing he can calculate the distance to things in his back yard using trigonometry and then scales it up to the moon. My mind was blown, because no one ever told me that. I…

Which video?

Harder to find than it should be due to YouTube enshittification of their search but

https://youtu.be/ohdysfFWO4w?si=iEz-HcFabRFc1kID

Re: How was the size of Earth first measured? (2015)

#35
post #2

> the distance from Alexandria to Syene -- believed to have been about 515 miles Even this part sounds amazing to me. How did they measure distances this long back then?

We covered this literally this week in my intro to astronomy class, my prof said he paid a guy to walk the distance and measure it out.

Re: How was the size of Earth first measured? (2015)

#37
post #20

I always struggled (and still struggle) with math. A couple of years ago, randomly browsing YouTube, I came across this home made video asking how they figured out the distance to the moon before modern technology. The host starts out small scale showing he can calculate the distance to things in his back yard using trigonometry and then scales it up to the moon. My mind was blown, because no one ever told me that. I…

Yeah, a lot of schools do a poor job of tying math to practical applications. And no those absurd word problems in elementary algebra are not what I mean. Calculus, for example, makes way more sense if it's presented alongside physics.

Re: How was the size of Earth first measured? (2015)

#38
post #4
post #2

> the distance from Alexandria to Syene -- believed to have been about 515 miles Even this part sounds amazing to me. How did they measure distances this long back then?

A very long piece of string.

That was for putting back the farm claims along the Nile. Professional rope stretchers did that.

This was paced.

Re: How was the size of Earth first measured? (2015)

#39
post #16

Earlier quoted context omitted.

Land along the Nile was heavily surveyed, yearly, to ensure its course changes were recorded in landownership. > Long distances were measured by professional distance walkers, called bematists, who walked at a very regular pace and counted each step. Shorter distances were measured with lengths of knotted rope by men called harpedonaptai, which means “rope stretchers” https://www.maa.org/press/periodicals/convergence…

Staking claims, where corner posts were placed at half kilometer intervals, were usually paced on foot, estimating for canyons, stream crossings, and other diversions. Some claims were continuous up to 20km by 20 km. This was in complete wilderness, in the Yukon, British Columbia and so on. Pre GPS. Not that long ago! They used topographic maps for reference. It is amazing how accurate the claims were, when transferr…

Imagine what it took to make the highly accurate topo maps they relied on.
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