1 88 Mzfcelhnea Curio [a. 



be multiplied by d and divided by a : . Laftly 

 you fee the Reafon why to all thefe Produ&s 



is added the Produd of a m ~~ l by the Let- 

 ter whofe Exponent is r-h i h 'Tis becaufe 

 the Sum of the Exponents is ftill m-Y r. 



As for what relates to the Vncia ■ obferve 

 that when you multiply az.-Ybz.z.'Ycz} J cdz* y 

 &c. by Hf c*, 3 -|- ax 4 , &c. each Let- 



ter &c. of the fecond Series is 



multiplied by each of the Letters ^, b^ d y 

 &c. of the firft Series:, Thus the Letter a of 

 the fecond Series is multiplied by the Letter 

 k of the firf^ and the Letter b of the fe- 

 cond Series is multiplied by the Letter a of 

 the firft - 0 therefore you have the two Planes, 

 #b y ab or lab - r for the fame reafon you have 

 zac^ 2ad, &c. Therefore you- mufi prefix to 

 each Plane of thofe that compofe the Square 

 of the infinite Series az,-\- bz,z,~\- cz,*^ &c. 

 the dumber which expreffes how many ways 

 the Letters of each Plane may be changed ; 

 likewife if you multiply the Product of the 

 two preceeding Series by az^-V bz.z.'Y czj ^ &c. 

 each Letter b 7 c, d, of the third Series is 

 multiplied by each of the Planes form'd by 

 the Product' of the firft and fecond Series j 

 Thus the Letter [# is multiplied by the Planes 

 be an& eby the Letter b is multiplied by <zc 

 and ca - r the Letter c is multiplied by <ih and 

 therefore you -have the fix Solids, -abc 7 

 acbj bac^ bca^ cab 0 cba 0 or 6abe \ Therefore 

 you muft prefix to each Solid whereof the 

 Cube of the infinite Series is composed, the 

 dumber which expreffes how many ways the 

 Letters of each Solid may be changed. And 



