HISTORY OF ALGEBHA. 



'177 





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Multiplier. 











1 



of 



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a 



1 



a 

 a 3 



a* 





1 



1 c 



a* 



I 



a 



a z 



« 4 



a\ 



1 



a 



1 



it 



1 



a 



a* 



a 3 



a 



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1 <L> 

 1 ^ 



l c 



i 



a"* 



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~T~ 



a 



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48 



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a 3 



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 a 



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-1" 



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 ; a * 



1 ' 



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a 1 



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a* 



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; 







Divisor. 





9t The use of the table is this : multiply the co-efficient of one of the 

 two quantities by that of the other ; the result is the co-efficient of the 

 product, which is of the denomination contained in the square where the 

 lines from the two factors meet If on either side there be a substrac- 

 ftive (negative) quantity, call the minuend plus or affirmative, and the 

 subtrahend minus negative., The product H plus into plus and minus into 

 minus are both plus, and the product of different kinds are minus. Mul- 

 tiply the quantities together, and subtract the negative from the affirma- 

 tive. For example, the product of 10 an4 one Shai into 10 all but one 

 Shai, is 100 all but Mai. The product of 5 all but Shai, by 7 all but Shai 

 is 35 and one Mdl all but 12 Shai. Another <example. The product of 

 4 Mdl and 6 all but g Shai, into 3 Shai all but 5, is 12 Cab, and 28 Shai all 

 but 26 Mdl and 30. In division, find a number which multiplied by the 

 divisor will produce the dividend. Divide the co-efficient of the dividend 

 by that of the divisor, the quotient is the eo-efficient of the quantity which 

 is opposite to the dividend and divisor. 



W 2 



