362 Grinten — Projection of the Whole Earth '$ Surface. 



U 



_ M ~H 



r "B^' ^ = 0- 8d_ 



^0 



consequently (I) h~ _ ft = 



Vl +c — Vl— c 



1 = 



c (l+c)Vl-c +(1— c)Vl + c 

 The deformation of an infinitely small meridional part at the 



margin is defined by A„ _ 180 = ~ . Now having sin ^ = y ? 



we finally get 



4 



and in our case 



) *a = 180 = ( 9 .-»\ui±A*n^jLn-o\«fT^\ = x ' y ' h i=0' 



(2~c)[(l+c)v / l-c + (l-c)V 

 4 



The deformation of a part of a parallel between two infinitely 

 approximate meridians is explained by 



7c = phx = * . 8(2 ^ 

 r cos </>§<£ r cos </>' S</> ' 



from which is obtained the general formula 



Bv 



k 



1 [Bu Bv \ 



= t(bx-bx G0S V 



Bio 



BX 



cos </> cos 



