and third degree 
rt Dlt) + e(t)" 
and 
+ blt) + ett)" + d (et)? 
from which the values of the unknown quantities have been deduced 
by the method of least squares. 
Five solutions have been found. 
I by means of quadratic formulae 
Il by means of formulae of the 8'd degree | 
III by means of quadratic formulae, correcting the data beforehand 
for the supplementary “transport-rate” 
IV Like I, but giving half weight to the 6 obcervations of the 
34 series at Mecca. 
V Like HI, but giving half weight to the 6 observations of the 
drd series at Mecca. 
Defining the supplementary “transport rate” E. as the excess of 
the daily rate during transport on that of the stationary chronometer 
and putting t for the duration of a transport, we have as supplemen- 
tary correction of the chronometer after each journey 
A corr: — Aga: corr. — suppl. corr. = t. E. 
Now A corr. could be determined from the time-determination 
next preceding and next following the transport, and yet be found, 
for the mean of two journeys to and fro, independent of an assumed 
value of the difference of longitude, while Aso; corr. could be derived 
from the daily rates in the intervals next preceding and next 
following the transport. 
In this way we found for the suppl. corr. after each transport: 
1st journey to M. and back -+ 2822 
gede, Re Care 5 + 1.54 
pas OR ok ye |. eee te OU 
Mean influence of one single journey + 1579 
i.e. the transport caused a retardation. This value was employed to 
correct the data for solutions III and V. 
The solutions IV and V were executed not to give undue weight 
to the 3'¢ stay at Mecca with 6 observation-nights, overagainst the 
1st and 2>¢ with 3 and 4 nights, since for each stay there are clearly 
left systematic errors. Febr. 26 was left out in all solutions. The 5 
solutions gave for the difference of longitude. 
