BINOMIAL THEOREM. 463 



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'* Obferve that th^e Radices Locorum of each pawer are numbers 

 which are placed oppofite the Latus Primum, and the preceding 

 powers (i. e. the powers whofe Indices are lefs than that of the power 

 whofe Radices Locorum- or coefficients are required), and the method of 

 difcovering them is as follows : — Let the names of the LatuSj. and of the 

 power preceding or lower than the given one, be written in a row 

 of length (i. e. in a row from the top to the bottom of the page), and 

 take the number of the irwlex of this given power, and place it oppo- 

 fite to the name of the Latus, then fubtract from it, and multiply 1^ of 

 the remainder into the number which is placed oppofite the Latus^, 

 or the contrary, (i. e. or multiply the remainder into half of that 

 which is placed oppofite the Latus), and place the product opposite 

 the name of the fquare, then fubtract 2 from- it (viz. from the index 

 of the given power), and multiply ■§; of the remainder into that which 

 is placed oppofite the fquare or the contrary, and place the product 

 oppofite the cube, then fubtract 3 from it, and multiply ^ of the remain- . 

 der into that which is placed oppofite the cube or the contrary, and 

 place the product oppofite the biquadrate, and fo on to the end, and 



