upon the Antique Dials. 



81 



Values of n L. 



to 



between 



RESULTS. 



INFERENCES. 







0, 90% 



90 



90, 180, 



180" 



180% 270, 



270 



270, 360, 



360" 



cos nL = 1, tan D = tan I, 



cos nL ^ 1, and decreasing 

 continually as L increases. 



cos n L = 0, tan D = 0, and 

 D = {0, 180,} 



cos n L is and increasing as 

 *L increases. 



cos nL = 1, its greatest 

 possible value on that side, 

 tan D = tan 1 ; 



cos nL is still negative, but 

 diminishing in magnitude. 



cos nL = 0, tan D = 0, and 

 D = {0, 180.} 



cos wL becomes +, and in- 

 creases on the positive side 

 of the axis, and D increases 

 also. 



cos 



= l, tan D = tanl, 



Hence the curve passes through the 

 two intersections of the horizon 

 with the meridian of the place. 



The curve is concave towards the 

 axis (equator). 



The curve cuts the axis in a point 

 D (Fig. 1.) such that AD = ~ 



The curve proceeds to the other 

 side of LQ, and is concave to- 

 wards its axis. 



The curve returns towards the 

 axis. 



The curve bends down again to- 

 wards the axis, being concave 

 towards it, till 



The curve meets the equator in a 



a point R, such that AR = ^-. 

 The curve is concave to the axis. 



The curve has arrived at a state 

 similar to its original one. 



. 



