Carnotron the 'Infinttejimal Calculus, ^ 



|o or from the lower fingle waggon-way are dlrcdled, at 

 pleafure, into either part of the double waggon-way, by a, 

 moveable iron fleeper or plate at that point, upon which 

 deeper or plate the wheels of the boat-carriage or cradle run. 

 No. I. (fig. 5.) main-fliaft on which the rope laps. ,2. Break- 

 ;wheel, on one fide of which the fpur-wheel is faftened, 

 3. Nut-wheel, outofgecr, but which Hides into the fpur- 

 wheel, when ufcd to draw the empty boat into the lock oc- 

 i^afionally, and which is fupportcd by two uprights from tlie 

 pillar to the roof. 4, 4. Winches or handles, to work the 

 nut and fpur-wheel. 5, 5. The main-ropes faftened to the 

 boats, and which are lapped to prevent their wearing. 

 6. The fpur-wheel, which is faftened on one fide of the 

 •break-wheel ; and on which break-wheel is a ftrong iron- 

 jointed timber brace, which, according to the preflure given 

 thereto by the man who attends it, will allow the loaded boat 

 to defcend quick or flow, or detain it in its paflage. 7,7. Pad- 

 .dles in the lock-gates, to let the water out of the higher 

 ^level into the lock. 8. A hollow caft-iron .roller, to pre- 

 vent the main-ropes from fwagging. 9, Shroud-wheel, to 

 prevent the ropes going over the end of the main-{haft, 

 flipping off, jerking, or breaking. This fi:ands three inches 

 above the main-fhaft. 



■ V. Dr, Dickson's Tranjlation of Carnot on the- 

 Infinitejimal Calculus, 



[Concluded from Vol. VIII. Page 352.] 

 The Prmc'iples of the Differential and Integral Calculi. 



49- XF to the fame variable quantity be fucceffively attri-». 

 buied two Values whofe difference is infinitelv fmall, that dif- 

 ference {viz. that of the fecond, from the firft of the two 

 values) is called the Differential of the firft value. 



For example, let AMN (fig. 2.) be a curve, concerning 

 which any queftion whatever is to be refolved, and (uch that 

 the ordinate MP is one of the quantities affigned in that 

 queftion. I fuppofe, moreover, that, to facilitate the folution, 



S an 



