The Quadrilateral Coordinated with a Circle that Forms Pascal Points and its Properties
Journal for geometry and graphics, Tome 27 (2023) no. 2, pp. 127-149
Cet article a éte moissonné depuis la source Heldermann Verlag
In the present paper, the concept of "a quadrilateral coordinated with a circle that forms Pascal points" ("coordinated quadrilateral" for short) is defined as a quadrilateral for which there exists a circle that forms Pascal points on the sides of the quadrilateral, and for which it holds that the following four points are collinear: the point of intersection of the extensions of the two opposite sides of the quadrilateral, the center of the circle, and the two Pascal points formed by it.
Classification :
51M04, 51M05, 51M15, 51N20
Mots-clés : Coordinated quadrilateral, circle that forms Pascal points, collinearity of points, geometric construction
Mots-clés : Coordinated quadrilateral, circle that forms Pascal points, collinearity of points, geometric construction
@article{JGG_2023_27_2_JGG_2023_27_2_a1,
author = {D. Fraivert },
title = {The {Quadrilateral} {Coordinated} with a {Circle} that {Forms} {Pascal} {Points} and its {Properties}},
journal = {Journal for geometry and graphics},
pages = {127--149},
year = {2023},
volume = {27},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2023_27_2_JGG_2023_27_2_a1/}
}
TY - JOUR AU - D. Fraivert TI - The Quadrilateral Coordinated with a Circle that Forms Pascal Points and its Properties JO - Journal for geometry and graphics PY - 2023 SP - 127 EP - 149 VL - 27 IS - 2 UR - http://geodesic.mathdoc.fr/item/JGG_2023_27_2_JGG_2023_27_2_a1/ ID - JGG_2023_27_2_JGG_2023_27_2_a1 ER -
D. Fraivert . The Quadrilateral Coordinated with a Circle that Forms Pascal Points and its Properties. Journal for geometry and graphics, Tome 27 (2023) no. 2, pp. 127-149. http://geodesic.mathdoc.fr/item/JGG_2023_27_2_JGG_2023_27_2_a1/