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Archimedes' Lemmas
Semicircle
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By Antonio Gutierrez
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Problem 642. Archimedes' Book of Lemmas: Proposition 3.
Level: High School, SAT Prep, College geometry. Let C be any point on a semicircle of diameter AB, and let CD be perpendicular to AB. Take E on AB so that AD = DE. Take F on arc CB so that arc CF = arc AC. Prove BF = BE.
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