MtfceUanea Curio fa. 185 



longing to z, w + r "~% except thofe of the firlt,> 

 fecond, and third Claffis^ and fo on, till I 

 meet twice with the fame Term. Laftly, I 



add to all thefe Terms the Product of a m ~ % 

 into the Letter whofe Exponent is r^-i. 



Here I mult take notice that by the Ex- 

 ponent of a Letter, I mean the Number 

 which expreffes what Place the Letter has in 

 the Alphabet^ fo three is the Exponent of 

 the Letter c becaufe the Letter c is the 

 third in the Alphabet. , 



It is evident that by this Rule, you may 

 eafily find all the Products belonging to the 

 feveral Powers of if you have but the Pro- 

 duct belonging to £, m > viz.. a m ' 



To find the VncU which ought to be pre- 

 fixt to every Product, 1 confider the Sum of 

 Units contain'd iij the Indices of the Let- 

 ters which compofe it (the Index of a ex- 

 cepted) I write as many Terms of the Series 

 m x m — 1 x m~ 2 x m — 3, 5cc. as there are 

 Vnits in the Sum of thefe Indices, this Series 

 is to be the Numerator of a Fraction, whofe 

 Denominator is the Product: of the feveral Se- 

 ries 1X2X3X4* 5, Stc. 1X2X3X4X5, CxC 



1x2x3x4x5x6, &c. the firft of which 

 contains as many Terms as there are Vnits in 

 the Index of b, the fecond as many as there 

 are Vnits in the Index of c, the third as ma- 

 ny as there are Vnits in the Index of af, the 

 fourth as many as there are. Vnits in the Index 

 Of e 7 &C. 



