How did non-Euclidean geometry arise from a question in Euclidean geometry?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 48E
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How did non-Euclidean geometry arise from a question in Euclidean geometry? 

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