![Figure 2. (Hyperbolic Euclidean Elliptic) The structure of euclidean geometry : The Parallel Postulate is Depended on the Other Axioms : Science and Education Publishing Figure 2. (Hyperbolic Euclidean Elliptic) The structure of euclidean geometry : The Parallel Postulate is Depended on the Other Axioms : Science and Education Publishing](http://pubs.sciepub.com/amp/1/4/6/image/fig2.png)
Figure 2. (Hyperbolic Euclidean Elliptic) The structure of euclidean geometry : The Parallel Postulate is Depended on the Other Axioms : Science and Education Publishing
![geometric topology - What exactly this "elliptic" and "hyperbolic" mean on the picture describing Lobachevskian and Riemannian geometry? - Mathematics Stack Exchange geometric topology - What exactly this "elliptic" and "hyperbolic" mean on the picture describing Lobachevskian and Riemannian geometry? - Mathematics Stack Exchange](https://i.stack.imgur.com/EhYlU.png)
geometric topology - What exactly this "elliptic" and "hyperbolic" mean on the picture describing Lobachevskian and Riemannian geometry? - Mathematics Stack Exchange
![SOLVED: Why are there no parallel lines in elliptic geometry? Consider a right triangle on the sphere, whose every side equals the polar distance , respectively: What is the sum of the SOLVED: Why are there no parallel lines in elliptic geometry? Consider a right triangle on the sphere, whose every side equals the polar distance , respectively: What is the sum of the](https://cdn.numerade.com/ask_previews/017e321a-c374-409b-9689-d11b6f969d95_large.jpg)
SOLVED: Why are there no parallel lines in elliptic geometry? Consider a right triangle on the sphere, whose every side equals the polar distance , respectively: What is the sum of the
![Find a five-point geometry for which the Euclidean parallel postulate fails, the elliptic parallel postulate fails, and the hyperbolic parallel postulate fails. | Homework.Study.com Find a five-point geometry for which the Euclidean parallel postulate fails, the elliptic parallel postulate fails, and the hyperbolic parallel postulate fails. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/geometry_12355917774763523847.jpeg)