菱形基线网图形强度的理论

ON TIDE STRENGHT OF FIGURE OF RHOMBUS BASK-NETS

  • 摘要: 所谓菱形基线网实际上是指的近子菱形的四边形甚线网。在数学上只有四边均等的平行四迪形才叫做菱形。但在大地测量上不可能布设这样严格的菱形,而只能布设近子菱形的基线网。对于数学上严格的菱形我们将称之为"正菱形"。

     

    Abstract: Simple rhombus and duplex rhombus are the best figures for base expassion. Investigations on the strength of such kind of base-nets are generally made on the assumption that the figure has the form of a normal rhombus, i.e. the sides of the quadrilater al are equal in length. But in practice, it is impossible to lay out such rigoious figrres in field. In this paper the author investigates the effect of deviations from a normal rhombus on the reciprocal of the weight of the expanded side. The main conclusions drawn in this paper are following; (1) It is desirable to make the two sections of the expanded side, divided by the base, nearly equal to each other, the ratio of their lengths preferably not more than 2, nor less than 1/2. (2) The angle of interseotion of the expanded side with the base may differ from a right angle by as. far as 30° without causing serious effect on the reciprocal of the weight of the expanded side. (3) It is not preferable to use a triangle with interior station as base-net. Besides, the author suggests some simple formulae for estimating the reciprocal of the weight of the expanded side, which are convenient for use in field."

     

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