Areas of existence of ruled surfaces

被引:0
作者
Salkov, N. A. [1 ]
Ivanov, G. S. [2 ]
Slavin, R. B. [3 ]
机构
[1] Moscow State Acad Art Inst, Moscow, Russia
[2] Moscow State Tech Univ, Moscow, Russia
[3] Astrakhan State Tech Univ, Astrakhan, Russia
来源
MECHANICAL SCIENCE AND TECHNOLOGY UPDATE (MSTU 2019) | 2019年 / 1260卷
关键词
surfaces; ruled surfaces; geometry; descriptive geometry; surface formation; line congruence;
D O I
10.1088/1742-6596/1260/7/072018
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Ruled surfaces are used in mechanical engineering, in aircraft and motor-vehicle constructions, in agriculture, in construction and light industries. It is easier to denominate areas where ruled surfaces are not applied than to list them all. The value of ruled surfaces in human activities can not be overestimated. In this paper the consideration of the formation of ruled surfaces with a uniform way of setting them, which was proposed earlier in two articles with the same title "General Principles of Defining Ruled Surfaces", is continued. The concept of a limit ruled surface is introduced in this article, and on the basis of a single method for defining ruled surfaces, the question of identifying the areas of their existence that lie between two limiting ruled surfaces is considered. These areas of existence are, in fact, a line congruence.
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页数:8
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