If you’re on the earth it’s an eclipse. On the moon nothing is between you and the sun, or you and the earth.
Put another way, an eclipse is only an eclipse from a certain observation point. For example, the crew of Integrity observed a solar eclipse on their way around the moon. The moon was between them and the sun. There was no eclipse for the rest of us on earth.
If you’re on the earth it’s an eclipse. On the moon nothing is between you and the sun, or you and the earth.
Put another way, an eclipse is only an eclipse from a certain observation point. For example, the crew of Integrity observed a solar eclipse on their way around the moon. The moon was between them and the sun. There was no eclipse for the rest of us on earth.
Check out Mr. Confidentially Incorrect over here. An eclipse is exactly the definition you posted, I’m not sure how you could read it so wrong.