what scientific law did archimedes establish?\no the law of geometry\no the law of astronomy\no the law of…

Brief Explanations:

Archimedes established the law of lever and balance, which is a fundamental principle in physics related to mechanical equilibrium. He did not establish a specific "law of geometry" in the sense presented here, nor a "law of astronomy" or "law of Earth and universe" as named in the options.

Answer:

C. the law of lever and balance