Detour Extra Straight Lines in the Euclidean Plane
Open Access
- 18 September 2020
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 5 (2), 237-249
- https://doi.org/10.34198/ejms.5221.237249
Abstract
Using the theory of exploded numbers by the axiom-systems of real numbers and Euclidean geometry, we explode the Euclidean plane. Exploding the Euclidean straight lines we get super straight lines. The extra straight line is the window phenomenon of super straight line. In general, the extra straight lines are curves in Euclidean sense, but they have more similar properties to Euclidean straight lines. On the other hand, with respect of parallelism we find a surprising property: there are detour straight lines.Keywords
This publication has 1 reference indexed in Scilit:
- Introduction into the Extra Geometry of the Three–Dimensional Space IEuropean Journal of Engineering and Technology Research, 2020