OfegliRfAliOXS FOR fiEARlMGS. 
irue azimuth, which multiply by 2; in either case the result will be the 
sun’s true bearing. If the observed object has an altitude, 
Add together 
and take out the sum as a log sine : the result is the corrected angle* 
If the observed object has no altitude, or if its altitude is very small, 
this step is neglected, and the apparent angle is used as the corrected 
angle. 
Find the apparent alt. from the true alt. already found, from the 
observed angular distance find the apparent distance, and from the cos 
of the dist. from ©’s centre, subtract the cos of the apparent altitude; 
the remainder will be the cos of difference of bearings. If the sun be 
East of the meridian, and the object more East, or the sun be West, and 
the object more West , add the difference of bearing thus found to the 
O’s true bearing. In any other case, take the difference between the 
sun’s true bearing and the difference of bearings, and the result is the 
true bearing of the object. 
When this observation is taken with a transit theodolite, the object, the 
bearing of which is required, is made zero before taking the altitudes, and 
the horizontal verniers are read after taking each altitude. As this gives 
the horizontal angle between the object and the sun, it will only be 
necessary to compute the sun’s true bearing; and by applying the 
horizontal angle to this, the true bearing of the object is obtained, and the 
latter part of the work given in the sextant example will be unnecessary. 
