TRAINS OF REASONING. 



ferencewas, that a certain government was not likely to be 

 overthrown ; this inference was drawn according to a formula 



not b d r: of the publio good was set d - - 



being likely to be overthrown; a mark of this mark was 



fin a particular manner; and a mark of acting in that 



nner was, being asserted to do so by intelligent and dis 



interested witnesses ; this mark, the government under dlu. 



on was recogmsed by the senses as possessing. Hence that 



ET^f bin the last mdaction &amp;gt; and b ** -&quot; i 



o one I \ f 6 t , The PerCeiTed reS6m Wance f &quot;&amp;gt; cLe 

 one set of observed particular cases, brought it into known 



.resemblance w.th another set, and that with a third 



In the more complex branches of knowledge, the deduc 

 ts seldom consist, as in the examples hitherto xhibited of 

 a su,gle cha Jn , a a mark of i, of c, c of,, therefore .1? 

 They cons,st (to carry on the same metaphor) of several 

 chams umted at the extremity, as thus : a a mark of d, Tof 

 c &quot;V, d ef of , therefore t c a mark of n. Supp se te 

 example, the following ^.^^ rf ^^JJ&quot; 



ght .mpmgmg on a reflecting surface ; 2nd, that snr 

 face parabohc; 3rd, those rays parallel to each other and to the 

 ax,s o the surface. It ,s to be proved that the concourse of 

 3 three c.rcumstances is a mark that the reacted rays 

 nil pass through the focus of the parabolic surface. Now 

 rf the three circumstances is singly a mark of something 

 ma enal to the case. Bays of light impinging on a reflect^ 

 surface, are a mark that those rays wiUbe reflected at 

 -gle equal to the angle of incidence. The parabolic form of 

 e surface a mark that, from any point of it, a iine drawn 

 he foeus and a hne parallel to the axis will make equal 

 angles w.th the surface. And finally, the parallelism ofThe 

 ays to the ax.s ,s a mark that their angle of incidence coij 



th TK f the8e eqMl angIeS The three k ^en 

 together are therefore a mark of all these three things united 



But he three united are evidently a mark that the ang of 

 reflection must coincide with the other of the two equal angles 

 that formed by a hne drawn to the focus ; and this again by 



