… the Euclidean plane, namely, that a simple arrangement of n pseudolines contains at least n
− 2 triangles… On the other hand a nonsimple arrangement of n pseudolines in the Euclidean …

… plane, namely, that a simple arrangement of n pseudolines contains n − 2 triangles, we had
… family Wn of arrangements with few triangles. If Wn is considered as an arrangement in the …

… For pairwise intersecting arrangements with digons we have … number of triangles in pairwise
intersecting arrangements of … every arrangement of n pseudolines in the Euclidean plane …

… number of triangles in pairwise intersecting arrangements of … of pairwise intersecting
arrangements of n pseudocircles … the maximum both in the Euclidean and in the projective case…

… triangles present in both types of line arrangements in main Theorems A and B. We also
prove that the set of triangles … of the triangles in a line arrangement in the Euclidean plane has …

… There is very little literature on students’ understanding of similar triangles using a
Euclidean geometry approach, and we hope that this study can add to knowledge in this field. …

… It is immaterial whether we consider spherical distances or Euclidean distances (measured …
/our equilateral triangles and a square meeting at each vertex. Thus/or all arrangements o/24 …

… triangles of unit area, maximum area or minimum area, that can be determined by an
arrangement … for the maximum number of minimum area triangles. Finally, we present lower and …

… triangles do not need to have equal base angles (Euclid’s proposition I.4) (Appendix II of
the Foundations). This topic deserves more investigation (see, for example, Mueller 1981, and …

… Let {p,q} denote the regular tessellation of p-gons, q at each vertex, filling a Euclidean or
non-Euclidean plane. Consider the characteristic triangle PoPIP~_ formed by a vertex, the mid-…