Tokio and Sapporo experiments, tlie error arising from this source will be 

 approximately eliminateil in the mean of difVerent observations. 



We regret to say tliat an accident occurred to the ]ienduhmi B in the course 

 of transportation fron^ Tokio to Sapporo: a brass cap at its U[)per end was 

 pressed in a little. For this reason, out of the two sets of observations at Tokio, 

 only the one made after returning from Sapporo was used in the case of 

 pendulum B. Nevertiieless the earlier observation is of some use, as showing 

 that the change produced in the time of vibration was very small. 



The eleventh cohnun gives the time of a single vibration, that is, a half- 

 period, reduced to an intinitely small are and to the temperature 2.3" C. The 

 results stand as follows : — 



Time of single vibration at Tokio 1.000197 .sec ± .0000042 



„ „ „ Sapporo 999869 „ ± .0000071 



Kater's Pexdilim 



Time of single vibration at Tokio (before (....1.000103 sec ± .00000.31 



„ (after) ....1.000104 „ ± .0000047 

 „ ,. „ „ (mean) ....1.000103 „ ±; .000002(i 

 „ ., „ Sapporo 999758 „ ± .0000117 



The ratio of the acceleration due to gravity at Sapporo to that at Tokio 

 comes out as follows: — 



111 By reniluhmiB ' 1.000(;.56 ± .000017 



(21 „ Kater's Pendulum 1.000690 i .000024 



As to the way of combining the two results obtained from the two jiendu- 

 lums, a few remarks seem to be necessary. It will be seen from the magnitudes 

 of the probable errors, that result ( 1 ) should have about twice as much weight as 

 (2): but (in account of the accident already described, we have been able to 

 utilize iinly one series of Tokio vil)rations for ( 1 ). Hence it ajjpeurs proper on 

 this accomit to diminish the weight of ( 1 ) and we have concluded that simply 

 to take the arithmetical mean will be a not inappropriate way of combining the 

 two results. 



The mean of the ratio is 1.0(JO672. The value of (j* at Tokio is known to 

 be 979.84 c. m. |><.-r sec. per sec. Hence wc have fiiuilly for the acceleration 

 duo to the force of gravity at Sjipporo 



980.5IÜ c. m. jier sec. per sec. 



"Memoir No. 5 of the Science Depnrlinent of Tokio Iiaigtikn. 



