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Latin word specto comes from Proto-Indo-European *speḱ-, Proto-Indo-European - -yeti, and later Proto-Indo-European *spéḱyeti (To be looking at, to keep looking at.)
*speḱ- (Proto-Indo-European)
- -yeti (Proto-Indo-European)
*spéḱyeti (Proto-Indo-European)
To be looking at, to keep looking at.
*spekjō (Proto-Italic)
To observe, to see.
specto (Latin)
I consider. I test. I watch, observe, look at, see.