A Treatise on the Theory of Screws

Forfatter: Sir Robert Stawell Ball

År: 1900

Forlag: The University Press

Sted: Cambride

Sider: 544

UDK: 531.1

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Side af 579 Forrige Næste
228] FREEDOM OF THE FOURTH ORDER. 245 cylindroid reciprocal to the enclosing four-system. It has also eight singular tangent planes (four through each double line) touching all along a generator. The cylindroid is a very special case of this surface in which one of the double lines is at infinity. If the system be reciprocal to the cylindroid z (a? +1/2) + kxy = 0, then the cylindroid to which the surface reduces is z 4- — kxy — 0. The singular tangent planes are represented by the two tangent planes at the limits of the cylindroid.