192 Miscellanea Curio fa. 

 preceding Term ; thus the Letter B is equal to 



the Coefficient h ~ hAJ . 2 . That the De- 



a 



nominator of each Coefficient is always 

 3. That the firft Member of each Numera- 

 tor, is always a Coefficient of the Series 

 gy-\-hyy-\-iy 3 -> &c. vlL the firft Numerator 

 begins with the firft Coefficient g^ the fecond 

 Numerator with the fecond Coefficient h+ 

 and fo on. 4. That in every Member after 

 the firft, the Sum of the Exponents of the 

 Capital Letters, is always equal to the 

 Index of the Power to which this Member 

 belongs : Thus coniidering the Coefficient 



k^bBB —zbAC—i cAAB—dA* be _ 

 n 0 



longs to the Power ;/ 4 , we fhall fee that in 

 every Member hBB, ibAC, $CAAB, dA*^ 

 the Sum of the Exponents of the Capital 

 Letters is 4, (where I muft take notice, that 

 by the Exponent of a Letter, I mean the 

 Number which expreffies what Place it has in 

 the Alphabet j thus 4 is the Exponent of the 

 Letter D) hence I derive this Rule for find- 

 ing the Capital Letters of all the Members 

 that belong to any Power } Combine the Capi- 

 tal Letters as often as you can make the Sum of 

 their Exponents equal to the Index of the Power to 

 which they belong. 5. That the Exponents of 

 the fmall Letters, which are written before 

 the Capitals, exprefs how many Capitals 

 there is in each Member. 6. That the Nu- 

 merical Figures or VncU that occur in thefe 

 Members, exprefs the dumber of Permuta- 

 tions 



