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Answer :
The concept of parallel lines and their properties was formalized by Euclid in 'Elements.' Euclid's parallel postulate is a significant feature of this concept. Later, non-Euclidean geometry expanded on it in the 19th century.
The student has asked: "When was the concept of parallel lines cut by a transversal first introduced in mathematics?"
The concept of parallel lines and their properties, including cases where they are intersected by a transversal, dates back to ancient Greek mathematics. This area of study was fundamentally structured by Euclid in his work, "Elements." Although Euclid's work is now the first formalization, these concepts were likely explored even earlier. Euclid's parallel postulate is a critical element that touches on the behavior of parallel lines, and various mathematicians have expanded on it across centuries, including non-Euclidean geometry developed in the 19th century by Gauss, Lobachevsky, and Bolyai.
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