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- W2327266967 abstract "1. It is known that an element of contact in the Euclidian three dimensional space is the set of a point and a plane which passes through this point. Such an element is defined by its five coordinates; these are the coordinates of a unit vector perpendicular to the plane [1]. In the present paper we consider a family or a multiplicity of elements of contact depending on a parameter. An elementof this multiplicityis definedby the vector of its point X, that is by OX = x ( xI, x2, x ) = x ( xi ), i = 1, 2, 3, and the unit vector XT = I ( tl, t2, t3 ) = T ( ti 3, which is perpendicular to the plane of the element and lies on the plane-direction ( P ) of the element, whereby XB = b ( b,, , b b3 ) b ( b. ) is the unit vector perpendicular to 3~~~~~~ ( P ). The space is referred to a set of dextro rotatory rectangular axes ox1 x2 x3, We consider the straight line which is determined by X as tangent to the edge of regression of the developable surface, which is tangent or circumscribed to the mentioned multiplicity. If the element is transferred on the direction of the straight line of T to a distance c, X4 is the new place of X and Ox* x2 x3 is another set of dextro rotatory rectangular axes, the" @default.
- W2327266967 created "2016-06-24" @default.
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- W2327266967 date "1948-09-01" @default.
- W2327266967 modified "2023-09-24" @default.
- W2327266967 title "On a Group of Contact Transformations" @default.
- W2327266967 doi "https://doi.org/10.2307/3029707" @default.
- W2327266967 hasPublicationYear "1948" @default.
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