EEE a x M RE aL 
EEE 
  
indo inii 
  
  
  
(4) 
where 
dX = PA + AX. + Ze us ow. node) 
2 — 2 2 , 2 ! 
d^x z y X o A ka (C) Xe, et 2G, 8%c pt 
2590X:4: 390 ,X ner dk t1 
A Zz 8C", ( ) 
I ' 
R= i d3X (tv, ta, tC), OLt ZI un tom (22) 
where a suffixed letter indicates partial differentiation with respect to the 
variable represented by the letter. R is the remainder term; and it was 
shown that t is nearly 1. The terms turn out to be 
X (o) = b/p een c (13) 
dX(o) = (b/p*) (6 siny * px C'; — y^—- X y ?cos^p 4 x' ^9 simy).... (14) 
1 d?x(o) - (b/p3) ( A? 4 xx' 4° cos^y) y'? + 
jb/p? (p -2x -2x -4xx'?) (9.siny) (9 cosy) — 2pxC', A 
— 4 ^ (6siny) — 2pxx C, (Wcosy) | y + 
(3b/p3) | 2 (0sinp)? & px (9? — a^) - x (p - 2x - ax' 
-2xx) (9 singj)? + 2p (x + xx’) C', (6 siny) | tion (25) 
3. Representation. of the scale parameter by the Equation 
of the Hyperbolic paraboloid 
  
  
The quantity d (o) is in the form of the hyperbolic paraboloid 
with coefficients depending on the parallax and the elements of relative 
orientation ; but the second order term 3d2X(o) looks intractable and beyond 
the automatic generation by simple means. 
Unfailing indications that the equation of the hyperbolic paraboloid 
with unrestricted coefficients fits X so closely come from experience with 
the modified numerical method of height determination from simple parallax 
measurenients, as reported to the Eighth International Congress of Photo- 
grammetry (Stockhólm, 1956) (3). The mathematical treatment was 
elaborated in the 1958 paper (Ref. 2) which contains a full analysis of