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How Al Beruni calculated the Radius of the eath from Temple Nandana Punjab, Pakistan

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any mathematician on this website may have the answer to your question..
Simple trigonometry! using Sine-1 function.
If you know angle and two sides you can calculate third side opposite to angle.
To be exact, check your school books I'm kind long time expired from education.

AoA
Do not understand how he assumed that the triangle would be right angled.
Regards

No need for right angle triangle... any triangle would do.
 
. . . .
any mathematician on this website may have the answer to your question..

Simple trigonometry! using Sine-1 function.
If you know angle and two sides you can calculate third side opposite to angle.
To be exact, check your school books I'm kind long time expired from education.

No need for right angle triangle... any triangle would do.

AoA

Sine function only works on right angle triangle.

Thought about it and worked it out. The line from the mountain to the earth is tangential to the earth. Angle between radius and tangent is always 90 degrees. That is how he got the second angle. Brilliant.

I was taught that it was Columbus that figured out that the earth was a sphere. This video is conclusive proof that Al-Beruni knew this fact hundreds of years earlier.

Regards
 
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Thanks for the video. Al Beruni calculated earth circumference on a place near the salt ranges on Motorway. I always wanted to know how he did that. Now I know. From Islamabad to Lahore, when salt ranges are about to end, check out the horizon, he was a genius
 
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any line of sight that kisses the horizon is tangential to the surface of the earth and hence is perpendicular to the radial line connecting it to the center of the earth.
AoA
Thanks, had been able to figure it out (read post above). Thanks and
Regards
 
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Muslims of golden era did give world the foundation of modern day science.
 
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