16 



Vol. XXXVII., Art. 1.— K. Fuji : 



Before entering into an examination of expeiinicntal curves, 

 the method for determining the constants .1, //' and Xo must he 

 treated. 



Fio-. 



To determine Xj, take two points P and Q with the abscissae 

 'Xi and Xi on the curve in question on its ascending and descending 

 branches Avhere the vaUies of i/ are equal. Then it is obvious that 



X., 



or 



X} X- 1 — ■ X(\ • 



m 



Xq X] 



Let M l.>e the intersection of FQ with the maximum ordinate <)f 

 the curve. Measure PJ/ and QM, whicli may be called i^, l^o, then 



or 





(^.) 



Thus we can determine the vakie of x^, so that the position of 

 the origin is made known. Tlien we can calculate b" by the follow- 

 ing formula. 



Ir = |Qgu.-^ -^Q^io^/., X 04343, (5) 



(log,oa;-logioi'o)- 



where x and y are the co-ordinates of F or Q. 



