Naslov
Isotomic transformation with respect to a family of triangles

Autori
Koncul, H.

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
The 18th International COnference on Geometry and Graphics - Preceedings / Cocchiarella, Luigi - Milano : Springer, 2018, 12-19

Skup
18th International Conference on Geometry and Graphics (ICGG 2018 )

Mjesto i datum
Milano, Italija, 03.07.2018. - 07.07.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Isotomic conjugate, family of triangles, cubic transforma- tion, barycentric coordinates

Sažetak
The isotomic conjugate of an arbitrary point P with respect to a given triangle △ABC is the intersection point P ′ of the isotomic lines relative to the cevians through the point P. Furthermore, the isotomic transformation of a geometric object is defined by finding isotomic conjugates with respect to a triangle △ABC of all points on the geometric object. The isotomic transformation is a quadratic transformation for which various properties are known. In this article the isotomic transformation will be applied to a given fixed point P with respect to a one-parameter family of triangles △ABCi, such that two vertices A ; B are fixed and the third vertex Ci lies on a geometric object. It will be shown that this new transformation is a cubic transformation and some properties will be stated.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA