The radius of the Earth is over 6000 Km not 600.
Nasa like to take photo's in the daytime, dunno why... maybe because then you can see what they're taking a picture of. And you're cherry picking, there are photos of the day/night boundary from nasa. Look harder.
Also if you'd look the shadow on the moon during an eclipse is nothing like clearly defined, it has a blur (again there are 100's of photons online that show this).
So yes, you probably are wrong.
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