Open AccessClassification of complete (k,2)-arcs in NFPG(2,9) using veronesean
Author(s) -
Elİf Altintas,
A. Bayar
Publication year - 2022
Publication title -
new trends in mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2147-5520
DOI - 10.20852/ntmsci.2022.473
Subject(s) - conic section , projective plane , arc (geometry) , mathematics , cartesian coordinate system , affine transformation , plane (geometry) , homogeneous coordinates , line at infinity , pascal (unit) , geometry , pure mathematics , combinatorics , mathematical analysis , projective test , physics , projective space , projective line , quantum mechanics , correlation
In this paper, we investigate the Veronesean arc, the non-Veronesean arc by converting a point expressed in Cartesiancoordinates to homogeneous coordinates in left nearfield plane of order 9 where a k − arc in a finite projective or affine plane is a set ofk points no three of which are collinear. And also, we examine that whether founded complete (7, 2)-Non-Veronesean arc satisfy Pascal’sTheorem in the left nearfield projective plane of order 9. Six of (7, 2)-Non-Veronesean arc’s all points which are {1, 4, 11, 21, 35, 38}points line on same conic. But it is determined that (7, 2)-Non-Veronesean arc does not satisfy Pascal’s Theorem.