| 单词 | principle of least constraint |
| 释义 | > as lemmasprinciple of least constraint A body has in the most general case six degrees or freedom, viz. three of translation and three of rotation; if there is a hindrance to one or more of these, the motion of the body is so far constrained; hence, degrees of constraint. Thus if one point in the body is fixed, it cannot have motion of translation, but has all the degrees of rotation: if two points are fixed, its only motion can be that of rotation about an axis passing through these two points; it has thus one degree of freedom, and five degrees of constraint: a sphere moving between two parallel tangent planes has only one degree of constraint; a cube under the same conditions has three. kinetic constraint: the condition that a body shall move subject to certain relations: e.g. that a body shall roll on a plane. principle of least constraint: the theorem enunciated by Gauss in 1829, that when there are connections between parts of a system, the motion is such as to make the sum of the constraints a minimum.extracted from constraintn.< as lemmas |
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