A good book in hyperbolic geometry with synthetic approach?

Question

Is there a good book in hyperbolic geometry with synthetic approach ? Maybe in the style of Spivak's "Calculus".

Answer 1

Geometry: Euclid and Beyond seems like a reasonable first choice, although it also has some extra bits that require a bit of abstract algebra.

Answer 2

there is some extra material in the fourth edition of Marvin Greenberg's book, Euclidean and Non-Euclidean Geometries.. I found a bunch of material in Russian and Ukrainian from the 1930's to the 1950's for an article I published. Anyway, both got interested, Hartshorne proved a theorem of Mordukhai-Boltovskoi in his own way, and Marvin put that into the book. Found the pages, announced on pages 527-528, detail in Appendix B, part 1, pages 571-588. Here is a LINK to a review of an article by Marvin that won an award, you can download the article from there.