However, in elliptic geometry there are no parallel lines because all lines eventually intersect. On a sphere, the natural analogue of a line on a flat plane is a great circle, ...

A mathematical problem solved by Susanna Heikkilä relates to the classification of quasiregularly elliptic 4-manifolds, asking what four-dimensional shapes can be obtained by deforming four ...

Elliptic geometry is more general than ordinary geometry. It refers to a three-dimensional space of a more general type than ordinary space. The ordinary mathematics supposes a more or less ...

In Euclidean geometry parallel lines always remain at a the same distance from each other no matter how far you extend those lines. But in non-Euclidean geometry, parallel lines can either curve ...

Due to the elliptical geometry of the coated substrate, the aperture of a circular beam can be rotated by 45˚ around the minor axis without truncation. Manufactured from highly stable optical ...

If you took Geometry in High School, you almost definitely learned it as a subject based on rules and axioms discovered by the ancient Greeks. The details of this subject, which I must admit was ...

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others. You’re sitting at the end of a long conference table, ...

Due to the elliptical geometry of the coated substrate, the aperture of a circular beam can be rotated by 45˚ around the minor axis without truncation. Manufactured from highly stable optical ...