S6 On Cohesion. 



compound particles. Or in other words, equal numbers of par- 

 ticles of A and B be formed into a chemical compound A + B,then 

 shaU the specific gravity of A + B be to the specific gravity of 



i+m'x-^- 



A as • I • 



i+"71^ 



CO I 



By the last proposition : 



■ Z;5 c' : a' d^ : : magnitude particles of A : mag. part ot J5. 

 By Corollary, c' b' id' a' : : gravities of particles. 

 Bv Axiom tiie third : 

 'As b'^ c' + a^ d' : b'^ c^ : : mag. particles A + B : mag. part. A. 

 As c' b' + d^ a' : c'^ b':: gravities of part. A + B : grav. part. A. 



A, \ . _1_ • • numbers of particles of A + B, and A 



contained equal masses ; 



. c3!r' + d3a"- ^ 1 .. specific gravity of A + B: spec. grav. A. 



l + 'i!«^ l+^xff 



c^l,3 + d^a:^!> . ^ . . f^i:! . 1 . . ■'-——- : 1 . Q..E.D. 



'•' 63c3 + ,.3,i3 • •• , _/"'^" 14- fill' 



"^ c3 fr' c i ' 



Probi em III.— The conditions being the same as in the last 

 problem. The cohesion of A + B : the cohesion of A : : 



'' ' , <|3„. 



- i + ;?7^ 3, 



. By the 4th corollary ^b^ c^ + a^ ^' ^ ;;5~; '• ^ ^^ ^'' - ' 



^ C3 43 





Problem IV. — If a chemical compound be formed with any 

 two bodies AandB in the proportion of g : 1 (g being the num- 

 ber of particles of A added to every one of B, and not exceeding 

 ~\ then shall the specific gravity of A + B be to the specific 



"*" 3„ ' 



gravity of B as ;^ ; 1 . Then 



1+ •^— ^ 



