in each of Euclidean geometry, neutral geometry, and. hyperbolic geometey, give the strongest statement possible reagarding each of the following. a) the defect of an arbitarary triangle b) the number of parallel lines to a given line through a point not on that given line c) the relationship between two lines cut by a transversal and the alternate interior angles created by that transversal d) the relationship between an exterior angle of a triangle and the two remote interior angles

in each of Euclidean geometry, neutral geometry, and. hyperbolic geometey, give the strongest statement possible reagarding each of the following. a) the defect of an arbitarary triangle b) the number of parallel lines to a given line through a point not on that given line c) the relationship between two lines cut by a transversal and the alternate interior angles created by that transversal d) the relationship between an exterior angle of a triangle and the two remote interior angles

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

in each of Euclidean geometry, neutral geometry, and. hyperbolic geometey, give the strongest statement possible reagarding each of the following.

a) the defect of an arbitarary triangle

b) the number of parallel lines to a given line through a point not on that given line

c) the relationship between two lines cut by a transversal and the alternate interior angles created by that transversal

d) the relationship between an exterior angle of a triangle and the two remote interior angles

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