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Henry Poincare argued that in space there are not only rectilinear triangles in which angles equal to two right angles, but also curvilinear triangles in which angles are less than two right angles. He, further, maintained that to name the first one straight is to subscribe to Euclidean geometry and to name the latter straight is tantamount to subscribing to nonEuclidean system.Which one of the following accurately represents what is at stake?

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Henry Poincare argued that in space there are not only rectilinear triangles in which angles equal to two right angles, but also curvilinear triangles in which angles are less than two right angles. He, further, maintained that to name the first one straight is to subscribe to Euclidean geometry and to name the latter straight is tantamount to subscribing to nonEuclidean system.<br />Which one of the following accurately represents what is at stake?






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