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>The pages belonged to The Almagest, in which second century polymath Claudius Ptolemy described his vision of an Earth-centered cosmos.

Where's the article wrong?

Galileos notes where found in a 16th century print of The Almagest.

If you copy the pythagorean theorem onto a page and cross it out, would you be "defacing an ancient text"?

I clicked just to make this same pedantic comment, fellow traveller.

pedantry works best when correct.

"Ancient history is a time period from the beginning of writing and recorded human history through late antiquity."

Perhaps you are mixing up "ancient" and "prehistoric".

Galileo lived in the 16th century. Late antiquity ends around the end of the Western Roman Empire I think, which was before 500AD!?

But the text his notes were found in is ancient

No it isn’t, unless you date reprints to first edition publication.

They don't refer to an ancient book. They refer to an ancient text, as well as ancient wisdom.