Steiner-Lehmus Theorem

Hidekazu Takahashi

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<<EosLoader`

Eos3.7.1.1 (March 21,2023) running under Mathematica 13.2.0 for Mac OS X ARM (64-bit) (November 18, 2022) on Thu 30 Mar 2023 14:42:34.

We prove that if AF = BG then AE =BE.

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Goal[SquaredDistance["A","F"]==SquaredDistance["B","G"]SquaredDistance["A","E"]==SquaredDistance["B","E"]];

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map={"A"{0,0},"B"{1,0},"C"{1,1},"D"{0,1},"E"{u1,u2}};

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Prove["Steiner-Lehmus Theorem",Mappingmap]

Proof is successful.

Steiner-Lehmus Theorem: Step 9

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{Success,0.024429,

}

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EndSession[];