Geometry of the cyclic translation surfaces with generating circle and directrix meridiansof the base sphere

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Abstract


The geometry of the cyclic translation surfaces with generating circle and directrix meridians of the base sphere is investigated in the article.
The surface is received by parallel moving of the circle of some section of the base sphere. The generating circle moves so they cross two meridians of the base sphere.
The vector equation of the cyclic translation surface in coordinate lines of translation is received. The equation of the surface in coordinate lines including directrix meridians are received too.
The drawings of the cyclic translation surfaces with generating circle and directrix meridians of the base sphere made in MathCad system are shown.
The possibility of construction of the umbrella surfaces from repeating sectors of the cyclic translation surfaces are shown.

V N Ivanov

Email: ivanov.v.n@stream.ru

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