TY - JOUR
AU - I. Szalay
AU - B. Szalay
PY - 2020/09/18
Y2 - 2020/11/24
TI - Detour Extra Straight Lines in the Euclidean Plane
JF - Earthline Journal of Mathematical Sciences
JA - EJMS
VL - 5
IS - 2
SE - Articles
DO - 10.34198/ejms.5221.237249
UR - https://earthlinepublishers.com/index.php/ejms/article/view/237
AB - 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.
ER -