The shape of our state territory offers the conic representation 
as the most suitable one. The normal conic representation main- 
tains the rectangularity of the meridians and the parallels also 
for equivalent representation. The equations of normal conic equi- 
valent representation are given in (Hojovec, 1987). 
©, - R.cotg U, (10) 
2 
e* = e + ZR (sinU, - sinU) (11) 
po Um ns sinu, 652) 
In the-formulae itherevigr Reigrnthecradius of ithe .reference>sphere, 
U,V are geographic latitude and longitude for the Earthsphere. 
From the point of view of the mathematical cartography, it might 
be possible to consider as the best, as the "purest", such a conic 
representation, where the cone is the tangent cone of the spheroid 
directly. For the adaquate tangent parallel do — U, the radius 
R=N, . Ina narrow strip along the tangent parallel there can be 
considerd (U,V) = (¢,A). 
The Bessel's elipsoid, as well as in. S-JTSK, has been applied, and 
49°30’ has been chosen as the tangent parallel. The origin of the 
X,y coordinate system has been put to the peak of the cone, x 
coordinate aiming south in the 15° meridian and y coordinate 
aiming west (seeFig. 2). 
For the tangent parallel 4, = 49°30. the radius Ruis IR =Ni = 
6:389 738,833 m, “and ‘according “the formula (10) it ‘is "Ps = 
5 457 357,520 m. The rectangular coordinate system x,y is defined 
by formulae 
X -.cosg y 7 Q.sin& + 500 :000,00m = (E3) 
Applying this coordinate system, the area was calculated for the 
spherical trapezoid defined by 15? and 16? meridians and 49? and 
50? parallels. The' area. is Pg — 3 076 944 529 m". The area of the 
same trapezoid, applying the S-JTSK system, is P. - 8053 027 614m. 
Scheme of the trapezoids is shown in Fig. 3. There E is the tra- 
pezoid in the equivalent representation, and K is the trapezoid 
in the state system S-JTSK. From the distances shown in Fig. 3, 
508 
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B3. Vienna 1996 
    
    
    
   
  
  
     
   
     
    
   
     
   
    
   
    
   
  
  
  
   
   
    
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