348 



A Theory of Fluxions,. 



A. 



Fig. 11. 



! \\ 



2 XX' 



Figures 10th and 11 th, are two 

 different views of the same section 

 of a cube, in which the same letters 

 answer to the same parts ; and the 

 base lines, and those parallel to 

 them, are distinguished by full lines, 

 and other parts by occult lines. 

 This section is a pyramid, whose 

 apex A is at one of the corners of 

 the cube, and whose base GH& is 

 half the square that composes a 

 side. By the section it appears, that 

 this pyramid is one sixth part of the 

 cube. Let the pyramid ADEe rep- 

 resent the fluent, and DEeGHA an 

 increment corresponding to DG, 

 •^ the fluxion of the axis. Let EI, 

 and ei, parallel to DG, meet GH, 

 and GA, in I and i ; and eN, par- 

 allel to EH, meet Eh in N. The 



the se- 



rirst fluxion — is represented by the prism DEeGK 



