D I F 



The last 9 forms of fluents may be found by a table of hyperbolic lo- 

 garithms, or by a table of common logarithms, by multiplying the loga- 

 rithm by 2.30258509, which will give the corresponding hyp. log. 



... circ. arc rad. a and sin. y. , 



... circ. arc rad. a and ver. sin. x. 



... circ. arc rad. a and tan. t. 



... circ. arc rad. a and sec. *. 



... circ. arc rad. a and cos. x. 



The five last forms may be found by a table exhibiting the length of 

 circ. arcs for all degrees, &c. of the quadrant to rad. 1 (see Arc) ; for 

 by multiplying these arcs b,y a, we shall have their lengths to radius a. 



Thus, if the integral of -~ '- were required, when y is the sin. 



V 2 __ y% 



30), we have the length of an arc of 30 to rad. 1 = 0.5235987; hence 

 length to rad. a is a X 0.5235S87 = integral required j and so for the rest. 



inn 

 -X 



(at,")" 



i n 



y * 



