Euclid Book I PROP. VIII. -- THEOREM.

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If two triangles $(\triangle ABC, \triangle DEF)$ have two sides $(AB, AC)$ of one respectively equal to two sides $(DE, DF)$ of the other, and have also the base $(BC)$ of one equal to the base $(EF)$ of the other; then the two triangles shall be respectively equal to the angles of the – namely, those shall be equal to which the equal sides are opposite.