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ISSUE:    Almanac of Modern Science and Education. 2016. Issue 5
COLLECTION:    Technical Sciences

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CONSTRUCTION OF CONJUGATIONS WITH THE GIVEN JUNCTION POINT

Andrei Igorevich Andreev-Tverdov
Bauman Moscow State Technical University

Ivan Fedorovich Borovikov
Bauman Moscow State Technical University

Lyudmila Ivanovna Golovacheva
Bauman Moscow State Technical University


Submitted: May 20, 2016
Abstract. The paper examines the issue of conjugations construction with the given junction point. In this case the task includes two components: the construction of the centre of the conjugation arc and the determination of the conjugation radius. In all cases, the problem with the given initial data has two solutions. The type of conjugation - external, internal, mixed - depends on the reciprocal position of mating geometric elements and their linear dimensions. The proposed method of construction can be extended to other curves of the second order, except the circle, as well as to irregular curves.
Key words and phrases:
кривые
окружности
сопряжение
точка сопряжения
радиус сопряжения
дуга сопряжения
плавный переход
curves
circles
conjugation
junction point
conjugation radius
conjugation arc
gradient junction
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