Why not directly draw a circle with a compass using $BC$ as the distance and $A$ as the center, and then get $AL$?

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In Euclid’s Elements proposition $I.1$, why not directly draw a circle with a compass using $BC $ as the distance and $A$ as the center, and then get $AL$? Is Euclid’s method too complicated?

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Euclid’s Elements proposition $I.1$