ox THE NUiMBER vOF RICE SHOOTS. 



>. 7 



4.0-6C 



)) )i >> '» 11 >) >» 4' 5 7^ 



>> }» 11 >> 9 >> " >> S-^-'^SC 



)> >, I. ..10 ,, ,, 5.0-8C 



)I J» J) M^C. ,, &c. 



Now we can easily calculate the number of shoots that 



spring from a given number of seedlings planted together, by 



multiplying the number of shoots produced from one isolated 



seedling by the sum of the corresponding arcs. The factor (C) is 



arc, cos. ^ . . 

 equal to — —, in which r denotes the radius of the small 



circle (A), and (R) that of the larger one (B). Its numerical value 

 must, of course, vary according to the kind of rice, climate, soil, ma- 

 nure, etc., and is found out by experiments carried on, on the same 

 ground, after, the same method. If, for instance, 11 shoots are 

 produced from a single isolated seedling, and 20 shoots from 10 

 seedlings planted together, the value of the factor can be calculated 

 from the equation, 



I _ 1 1 



5-8C ~~20~ 



I here quote the number of shoots calculated in accordance with 

 the principle above explained, and th.c number actually observed 

 at the Tokyo Agricultural Station during the years 1892 and 1893 ; 

 and a comparision of the two Vv'ill enable us to form an estimate of 

 tlie value of the theory above enunciated. 



