## THE CONSTRUCTION OF LOCI IN GEOGEBRA

**Authors:**Esayan A.P.**Issue:**Vol 14, No 3 (2017)**Pages:**334-347**URL:**http://journals.rudn.ru/informatization-education/article/view/16933**DOI:**http://dx.doi.org/10.22363/2312-8631-2017-14-3-334-347

#### Abstract

The article considers methods of construction of the locus of points in the learning environment of a new generation of GeoGebra used for the visualization of mathematical objects and the creation of their dynamic models. In other words, we are talking about the tasks of the following type. Let there be point A, which can move on a given curve L and the position of some other point B, rigidly connected with the position of the point A. Required to construct the trajectory that is described by the point B when moving A along the curve L. This trajectory and is called the locus of the point. We emphasize that the locus is not the equation of a line, but only a dynamic graph, although in some cases it can be used to find the equation. The connection between points A and B can be specified from both an analytical and a description that in some way can be found position B.

### A P Esayan

**Principal contact for editorial correspondence.**

esayanalbert@mail.ru

Tula state pedagogical university of L.N. Tolstoy Prospekt Lenina, 125, Tula, Russia, 300026

Esayan Albert Rubenovich, doctor of pedagogical sciences, full professor, professor of department of informatics and information technologies of faculty of mathematics, physics and informatics of the Tula state pedagogical university named after L.N. Tolstoy.

- Skrebnev Yu.M. Figury rechi [Figures of speech]. Russkij jazyk. Jenciklopedija [Russian. Encyclopedia]. M.: Bol’shaja rossijskaja jenciklopedija, 1997. Pp. 590—592.
- Drushlyak М. Computer Tools “Trace” and “Locus” in Dynamic Mathematics Software. Sumy State Pedagogical Makarenko University, Ukraine, European Journal of Contemporary Education, 2014. Vol. (10). No. 4. Pp. 204—214.
- Hall J., Lingefjärd T. Mathematical Modeling: Applications with GeoGebra. Wiley, 2016.
- Kimberling C. Central Points and Central Lines in the Plane of a Triangle, Mathematics Magazine. 1994. 67 (3). Pp. 163—187.
- Kimberling C. Triangle Centers and Central Triangles, Congr. Numer. 129, 1998. Pp. 1—295.
- Kimberling C. Encyclopedia of Triangle Centers, available at. URL: http://faculty.evansville.edu/ck6/encyclopedia/ETC.html
- https://en.wikipedia.org/wiki/Locus
- http://www.regentsprep.org/regents/math/geometry/gl1/what.htm
- http://math.stackexchange.com/questions/776312/find-the-locus-of-points

#### Views

**Abstract** - 21

**PDF** (Russian) - 11