Summary 
The differential formulae are derived for arbitrary mutual positions 
of the two planes and for different arrangements of the axes of rota- 
tions and of the sequence of the rotations. Applications to aerial and 
terrestrial photogrammetry. 
Introduction 
We assume two planes to be in perspective relation, i. e. all points 
in one of the planes are reproduced as an image in the other plane 
through a central projection, see fig. 1. If the bundle of rays which 
connects object and image disappears there will remain a projective 
relation between the corresponding points of the two planes. This 
relation can be expressed analytically by the following well known 
formulae: 
an’ + ay’ + 035 a) 
x — ——r— ————À 
aat. As" + O3 
At" + das + A (2) 
y = —_— 9 
y and’ + gol’ + as 
or 
, bu + bisy + dis 
p uu Lee TE (3) 
bx A Day + bss 
; bot + basY + Das 
y bat + Dao + bss 
The coefficients of the expressions (1)—(4) are functions of the 
parameters which define the mutual position of the planes and the 
perspective center. These parameters can be chosen in various ways. 
Below we will use the parameters which are demonstrated in fig. 2.