Ca j X, Ul P (9) These are the correction equations from which is to be calculated. It is easily seen that the observations (4>i.» ai.») are correlated. 2. Equation (i) will be expressed in another form viz. "r, Yi Yi AY»— AYi Z. (ar° Xi Xi AXi AXi a" i1 Ol ^i(6) The following formula can now be derived for the bearings of the line P I introducing approximate values for the coordinates of station P: Yi AYi —Y'p AYp s arc tan AXp tt oci.p vaip 01 (7) where the expression (6) has to be used for After expanding (7) according to Taylor and putting 1 4>V.I7T—ai,pV arc tan 4 an the equation becomes: ap.iAYp bpjAXp 1 AYi j ap\ I ai AAijöp.i wyi èi.»j nZX~T 2 ^a-i.iAYi bi+AXi vaj J vaup. (8) The right hand side of equation (8) will be denoted by V1. NowS «iand 1Y bn represent the coordinates of the centroid of points on a coordinate system of which the -j-a and -j-b axes are the negative X axis and the positive Y axis respectively, the distances from the origin being the inverse of the distances from the origin (I) to the station pertinent to the coefficients a and b (see figure 2). As apj «i.p and bp, 1 bj.p it is and i_1 (io) 240 n i w i"n- 1 n 1 X{ ai i-i L i-tt 1 i - 1 <-1 n 1 n 1 ,i" n l I 1

Digitale Tijdschriftenarchief Stichting De Hollandse Cirkel en Geo Informatie Nederland

Tijdschrift voor Kadaster en Landmeetkunde (KenL) | 1963 | | pagina 8