E) In the case that the chain deviates from the regular straight form (fig. i) additional rules can be derived which facilitate making up the tensor. The chain in fig. 2 is taken as an example. The numbers are given according to the same system as in III, A. The angle conditions are: 5 The matrix of the normal-equations and its inverse one are the same as derived in III, A, and therefore the absolute values of the cofactors will be the same. The signs however are different and cause changes in the tensor. The corrections beginning with e1 have the opposite signs and a second reversal takes place at e11, compared with the angle-conditions in III, A. This appears also in the part of the tensor cp =1, .,\n in the rows and columns respectively numbers 7 and 11. The symmetry1) is now disturbed. 10 1 0 7 L. 10 11 12. 13 14 15 16 17 18 19 1 2 I «1 -1 1 -1 5 1 -1 -1 4 +1 -1 1 -1 1 •to. 6 1 -1 7 +1 -1 *1 8 -1 +1 -1 9 I +1 -1 1 Fig- 3 II See property 4).

Digitale Tijdschriftenarchief Stichting De Hollandse Cirkel en Geo Informatie Nederland

Tijdschrift voor Kadaster en Landmeetkunde (KenL) | 1957 | | pagina 18