This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.
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9 of 12 people found the following review helpful:
2.0 out of 5 stars
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This review is from: Introductory Non-Euclidean Geometry (Dover Books on Mathematics) (Paperback)
I quote from page 10.
"12. Theorem. If the two angles C and D are equal, the perpendiculars are equal, and if the angles are unequal, the perpendiculars are unequal, and the larger perpendicular makes the smaller angle." There is no accomapanying diagram and no proof provided. I choose this particular theorem because it is used in distinguishing Euclidean, hyperbolic and elliptic geometries, where it is needed for the theorem to hold when comparing a perpendicular to either an acute or an obtuse angle. After reading this gobbledygook, I gave up in despair.
3 of 4 people found the following review helpful:
3.0 out of 5 stars
Non-Euclidean Geometry,
By Perigrine Pickle (USA) - See all my reviews
This review is from: Introductory Non-Euclidean Geometry (Dover Books on Mathematics) (Paperback)
I am an engineer by education, and it has been many years since my college days. I bought this book to refresh my mind about mathematics and the specifics of non-Euclidean geometry. It is not an easy read, but it does help if one is interested in the subject.Introductory Non-Euclidean Geometry
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