Geometric Transformations in Descriptive Geometry And Engineering Graphics

L. Senchenkova; G. Ivanov; V. Seregin; Ivan F. Borovikov

doi:10.12737/12165

GEOMETRIC TRANSFORMATIONS IN DESCRIPTIVE GEOMETRY AND ENGINEERING GRAPHICS Geometric Transformations in Descriptive Geometry And Engineering Graphics

АА Аа

Published in Geometry & Graphics · Volume 3, Issue 2 · Pages 23–28 · Rubric: Methodical questions of teaching

DOI: https://doi.org/10.12737/12165

Received: 10.06.2015 Accepted: 10.06.2015 Published: 10.06.2015 Language of publication: RUS

Authors

L. Senchenkova

G. Ivanov

V. Seregin

Ivan F. Borovikov

L. Senchenkova

G. Ivanov

V. Seregin

Ivan F. Borovikov

Academic degree: candidate of technical sciences

Science rang: docent

Bauman Moscow State Technical University Russian Federation · Moscow

ABSTRACT

The publication is devoted to the analysis and justification of questions of teaching one of the most important sections of the course "Descriptive geometry" "Geometrical transformations". On the basis of critical analysis suggestions are made for improvement of a presentation technique of this section in the classroom and in academic literature, as well as for extension of application of geometrical transformations for the solution of position and metric tasks, surfaces modelling, and also for design of complex engineering forms that meets certain preassigned conditions.It is offered to make a number of considerable amendments to the terms and definitions used in the existing courses of descriptive geometry. Some conclusions are made, and the appropriate proposals on feasibility of coordination of movementtransformationteachingin the courses of analytical and descriptive geometry are made. It will provide interdisciplinary communications and allow students to be convinced in usefulness and expediency of a combination of analytical and graphic ways of geometric tasks solution. Implementation of these suggestions contained in the article will contribute to a real transformation of engineering and geometrical training and as a consequence, the quality of training specialists.

KEYWORDS

descriptive geometry, engineering geometry, geometrical transformations, modeling of surfaces interfacing a surface, position and metric tasks, scientific and research work of students.

Text

Введение. Геометрические преобразования входят в число основных разделов начертательной геометрии и предназначены для упрощения решения позиционных и метрических задач. Они широко используются в инженерной графике при построении основных, дополнительных, местных видов, а также вынесенных сечений. Создание твердотельных моделей в компьютерной графике способом «выдавливания» [1; 5; 13] основано на последовательном выполнении их сечений как метрических, аффинных, проективно зависимых от исходного контура. В связи с этим настоящая публикация посвящена анализу и обоснованию вопросов преподавания одного из важнейших разделов курса «Геометрические преобразования», а именно:

критическому анализу содержания и методики преподавания этого раздела в существующих учебниках начертательной геометрии;
предложениям авторов статьи к изложению материала указанной темы с учетом современных требований подготовки инженерных кадров.

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JATS XML

Zamestitel' glavnogo redaktora, chlen redsoveta

Vladimir Vyshnyepolskiy

Glavnyy redaktor

A. A. Ishchenko

Vypuskayuschiy redaktor

Dar'ya Sklyankina

501@infra-m.ru

Deputy editor-in-chief, member of the editorial Board

N. Sal'kov

nikolaysalkov@mail.ru

GOST

Senchenkova L., Ivanov G., Seregin V., Borovikov I. F. Geometric Transformations in Descriptive Geometry And Engineering Graphics // Geometry & Graphics. 2015. no. 2. pp. 23-28. DOI: https://doi.org/10.12737/12165. (Date of access 09.10.2026).

MLA

L. Senchenkova, Ivanov G., Seregin V., Borovikov I. F.. "Geometric Transformations in Descriptive Geometry And Engineering Graphics." Geometry & Graphics 3.2 (2015): 23-28. DOI: https://doi.org/10.12737/12165.

APA

Senchenkova L., Ivanov G., Seregin V., Borovikov I. F. (2015). Geometric Transformations in Descriptive Geometry And Engineering Graphics. Geometry & Graphics, 3(2), 23-28. https://doi.org/10.12737/12165

Chicago

L. Senchenkova, Ivanov G., Seregin V., Borovikov I. F.. "Geometric Transformations in Descriptive Geometry And Engineering Graphics." Geometry & Graphics 3, no. 2 (2015): 23-28. https://doi.org/10.12737/12165.

WIKI

{{cite journal | author = Senchenkova L., Ivanov G., Seregin V., Borovikov I. F. | title = Geometric Transformations in Descriptive Geometry And Engineering Graphics | journal = Geometry & Graphics | year = 2015 | volume = 3 | issue = 2 | pages = 23-28 | doi = 10.12737/12165 }}

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GEOMETRIC TRANSFORMATIONS IN DESCRIPTIVE GEOMETRY AND ENGINEERING GRAPHICS Geometric Transformations in Descriptive Geometry And Engineering Graphics

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