AN APPLIED METHOD TO SOLVE SOME TANGENT PROBLEMS

Authors

  • Alina Duta University of Craiova
  • Ludmila Sass University of Craiova
  • Ionut - Daniel Geonea University of Craiova

Keywords:

tangent problems, trajectory, geometric surfaces

Abstract

In descriptive geometry tangent problems are solved by using specific methods such as: changing the projection plans method or the rotation method. In some cases, solving such problems is not quite facile, for it involves the use of multiple changes of projection plans or rotations. Thus, another method, defined generically as the “trajectory method”, has been widely considered as a highly relevant method, especially if we have different geometric surfaces. Within this present paper we envisage the implementation of the “trajectory method” in order to solve some tangent problems while applying graphical and analytical solutions.

Downloads

Download data is not yet available.

References

Duta, A., Sass, L. (2009). Tangent Problems Between

the Flat and Curved Surfaces. Acta Tehnica

Napocensis. Series: Applied Mathematics and

Mechanics, Technical University of Cluj Napoca,

No.52, vol. Ia, pp. 61-64, ISSN 1221-5872.

Enache, M., Ionescu, I. (1983). Geometrie descriptive

si perspectiva. Editura Didactica si Pedagogica.

Bucuresti.

Olariu, F., Rusu, A.M. (2009). Analysis Of Different

Solving Methods Applied To Multiple-Tangent

Problems. Acta Tehnica Napocensis. Series: Applied

Mathematics and Mechanics, Technical University

of Cluj Napoca, No.52, vol. Ia, pp. 91-94, ISSN

-5872.

Marza, C., Olariu, F. (2005). Means of Solving

Geometrical Loci with Graphical Methods.

Proceedings of the International Conference on

Engineering Graphic and Design. pp. 391- 395.

ISBN 973-648-471-8.

Stachel, H.(2013 Descriptive Geometry – Vision

Guided Spatial Reasoning. ) Politecnico di Milano:

The Visual Language of Technique, between

Science and Art. Heritage and Expectations in

Research and Teaching. 1. History and

Epistemology.

http://www.geometrie.tuwien.ac.at/stachel/Milano_d

rck.pdf. Accessed: 2015-02-19.

Tarnita, D., Boborelu, C., Popa, D., Tarnita, C., Rusu,

L. (2010), The three-dimensional modeling of the

complex virtual human elbow joint, Romanian

Journal of Morphology and Embriology,

Ed.Academiei Romane, 51(3), pp.489-495, ISSN

-0522;

https://undernetmath.wordpress.com/potd/ Accessed:

-02-19.

*** Solid Works 2012 – User’s Guide

Downloads

Published

2015-06-01

Issue

Section

Theoretical Geometry and Graphics Section

Most read articles by the same author(s)