Map Projections of Alternative Structures: Torus, Hyperboloid, Paraboloid, Onion Shape and Others - Map Projections: Cartographic Information Systems - page 601

T 2 A,B onto a developed cylinder C 2 A + B Fig. 23.6. Conformal mapping of

T 2 A,B onto a developed cylinder C 2 A + B Fig. 23.7. Equiareal mapping of

T 2 A,B onto a developed cylinder C 2 A + B

Fig. 23.8. Equidistant mapping of

2 := 2 A,B onto a central plane 0 : (i) conformal, (ii) equiareal,

Box 23.6 (Mapping the torus M T P

(iii) equidistant, left principal stretches Λ 1 ,Λ 2 ).

(i) conformal:

B 2 arctan A

]cos U

2 B − B

B 2 tan V

√ A 2 √ A 2

x=( A + B ) exp [

2

− −