โจIn the 11th century, the famous Muslim polymath Al-Biruni figured out the Earth's radius using nothing more than a mountain and a bit of trigonometry. ๐
The insight was brilliant:
Stand on a mountain, and the horizon dips below the horizontal. That dip isn't an optical illusion; it's a geometric signal. It creates a right triangle where the mountain's height (h) and the Earth's radius (R) are the only variables.
Measuring the mountain's height without climbing down:
He used a simple trigonometric trick: from two points on the plain, he measured the angle to the peak. Knowing the distance between those points, he calculated the mountain's height with a formula surveyors still use today:
H = D / (cot A1 โ cot A2)
From the peak, he measured the dip angle to the horizon: ฮฑ = 34โฒ (just over half a degree):
R = h * cos(ฮฑ) / (1 - cos(ฮฑ))
How did he compute the cosine of such a tiny angle?
Without modern calculators, he used a sophisticated technique: he started with the known value of cos(60ยฐ) and used the half-angle formula to work his way down to the required value for his 34โฒ angle.
He calculated the Earth's radius as 6,340 km. The modern value is 6,371 km.
An error of less than 1%. In 1030 CE.
@Polymarket Anthropic somehow turned Fable 5 and Mythos into a national-security thriller, a product launch, and a scarcity campaign at the same time.
Amazon helped amplify the stakes.
The U.S. government supplied the forbidden-fruit effect.
Now restoration becomes the next act.
ngl @browseros_ai is kinda crazy
connects gmail, slack, linear, notion + 40 other apps into one ai assistant
just talk to it in plain english and it handles cross-app workflows for u
no more switching between tabs like a psycho
been using @browseros_ai to chat with webpages lately
summarize articles, pull data, translate stuff
all happens in the same tab
no copy/paste, no switching windows
just ask and it does it
Quake 3 Arena has been ported to web browser, with desktop and MOBILE support!
Touch screen controls, online play and more!
We're reliving the Quake Live era, this is awesome!
The Invincible x Fort Solis bundle is out! ๐ช
Have you ever regretted uncovering what lies behind a curtain of human cognition?
Immerse yourself in two cosmic adventures to find answers you may not be ready for โฌ๏ธ
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#scifigame#adventuregame#cosmos
Mรถbius, Mรถbius, you were a master
You solved and proved the hard and the deep
You configured and counted the points and the lines You gave us a formula with only one term
https://t.co/fRxv8nkc02
Mรถbius, Mรถbius, you were a genius
You explored the realms of space and shape
You twisted and turned the flat and the plain
You gave us a strip with only one side
Mรถbius, Mรถbius, you were a pioneer
You saw beyond the limits of the eye
You mapped and transformed the complex and the real
You gave us a function with only one sign
"There are 3 things that you need to come to terms with in life:
1. If they wanted to, they would.
2. No response IS a response.
3. Not everybody has the same values, the same goals or the same heart that you do." #QuoteOfTheDay#LoveYourself
https://t.co/4XIGwt8QN1