1822.] Right Angled Spherical Triangles. "425 



18. The above equations, 10 in number, contain all the combi- 

 nations that can be made out of the sides and angles of the right 

 angled spherical triangle A B C, viz. A B, B C, A C, B A C, and 

 B C A, which may be arranged in the follow^ing manner : 



AB 

 AC 

 BCA 



AB 

 BC 

 BAG 



BC 

 AC 

 BAC 



BC 

 AB 

 BCA 



AC 



An 



BC 



AC 



BAC 



BCA 



BC 



BAC 



BCA 



AB 

 AC 

 BAC 



AB 



BAC 



BCA 



AC 

 BC 

 BCA 



19. Baron Napier's two well known rules relative to right 

 angled spherical triangles are comprised in the equations, art. 17, 

 the left hand side of each represents the middle part, the right 

 hand side composed of tangents and cotangents ; the adjacent 

 parts, and those containing sines and cosines, the separated 

 parts. 



Article IX. 



On the Mathematical Principles of Chemical Philosophi/. 

 By the Rev. J. B. Emmett. 



{Continued from vol. i. p. 88, New Series.) 



• In the former papers, in the numbers for August, September, 

 November, 1820, and January, 1821, I have explained the cause 

 of the expansion of sohd matter, cohesion, and crystalUzation, on 

 the supposition that the force of attraction which is concerned, 

 is the same as that which produces planetary motion, and that 

 caloric is real matter. Before proceeding to the consideration 

 of liquid and gaseous bodies, the atomic theory, and chemical 

 action, I shall demonstrate that there is not in matter any force, 

 except that which varies inversely as the square of the distance, 

 and that the effects of heat cannot possibly arise from any 

 motion existing among the particles of matter. I shall, there- 

 fore, commence with the consideration of the action of corpus- 

 cular forces in general. 



There is a remarkable difference between the action of corpus- 

 cular forces and of those which act between sensible masses of 

 matter ; for example, a large mass of glass exerts no sensible 

 force upon bodies which are placed very near to it, provided 

 there be a sensible distance between them ; but take a capillary 

 tube of the thinnest possible glass, and immerse one end of it in 

 water, the fluid will rise to, and remain at a certain height, 

 which altitude is found, by experiment, to be inversely as the 

 diameter of the tube, exactly or very nearly : hence there is a 

 superficial attraction between the glass and the fluid, which very 

 much exceeds the weight of water. That this attraction is 



