4^4 ESSAY ON THE 



then by a neceffary confequence the fame number will be found 

 every place, which is equally diftant from the middle or the two midc 

 ones ; therefore, if you chufe it, write the firft found figure, alfo 

 the lail place, (i. e. in the prefent inftance) that which is written o 

 pofite the Latus and fquare leay be written oppofite the biquadrs 

 and cube, and fo on till it be completed. For example, let it i 

 required to find the Radices Locorum of the cubris cubi cubi cub 

 Let US' write from the Latus to the quadratics cubi cubi cubi 

 was directed, and let us write 12 which is the index of the giv 

 power oppofate the Latus and the lafl place, and fubtra6l 1 from 

 and let us multiply it into the |- of 12, and write 65 the produ6l opp 

 lite the fquare and the penultimate place, then fubtra6l 2 from it, a 

 multiply 10, which is the remainder, into -5- of what was writt 

 oppofite the fquare, and write the product, which is 220, oppolite t 

 cube and that place which agrees with it (i. e, which is equa 

 diftant from the middle on the other fide)^ then fubtraft 3 from it, a :i 

 multiply 9 the remainder into ^ of that which is oppofite the cul 

 and write the produ6l, which is 4g5, oppolite the biquadrate and tl 

 which agrees with it, then fubtra6l 4 from it, and multiply 8, t 

 remainder, into f of that which is oppofite the biquadrate, and wr 

 the product, which is 792, oppofite the quadratics cubi and that whi. 

 agrees with it, then fubtra£t 5 from it, and multiply 7 the remainder 

 into 16th of that which is oppofite the quadratics cubi, and write tr^ 

 produO;, which is 924, oppofite the cubris cubi, and then thefe nur 



