12 Art. (5. — R. Kaibara : 



and -" z — 7^ :, — ' 



(l-cos,,,)tan-|^ 5-2COS-., 



where, as was already given, 



z,, = 1-89743906 = 108° 42' 54"- 900. 

 Hence we find 



^o^ = IK, = 0-582724'2. ,o, = 1 , 



£, = s, = 0-8126700, £, = 0, 

 // = 0-1871148. 



This set of values determines the ellipsoid of transition referred to 

 in § 4. Of course, the same result can be obtained from (21), (23), 

 (2G) by the use of the auxiliary angles a, .3, <p, etc. 

 Next, take A=0'24. From (J7) we get 



z = 1-88630305 = 108' 4' 37"-934 ; 

 lien ce, from (18), 



log d. = T-9925741, log d.i'iv) = T-4791308, 

 log d, = 0-0473614, log d,(2v) = T-9576028, 



and therefore by (19), 



a = 41= 23' 44"-00, ^9=18'' 2-2' 53"-59. 



Then from (21) we obtain 



^;- = 0-0537271, ;r>/ = 0-7828731, /v = 0-0686280, 

 £^2 == 0-9462730, e^ = 0-2171269, £/ = 0-9313719. 



Also, we find 



<p = 22° 34' 59"-76, </> = 2° 50' 35"-75, 



y = 55" 12' 41"-96, w = 29^ 59' 24"-59. 



Hence from (23), -^^ = 0-09485087, 



and from (26), -'^ = 0-09485084. 



Corresponding to //=0'24, we get from (30), 



h, = 0-0009920-201 ; 

 whence by (32), z^ = 4-1524265. 



