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Euclid's Elements

euclidBook 1: The 48 Propositions
33 The straight lines joining equal and parallel straight lines (at the extremities which are) in the same directions (respectively) are themselves also equal and parallel.
Let AB, CD be equal and parallel, and let the straight lines AC, BD join them (at the extremities which are) in the same directions (respectively). Please enable Java for an interactive construction (with Cinderella).