USE OF TABLES. 



CHAPTER IV. 



USE OF THE TABLES AT THE END OF THIS WORK. 



I HAVE endeavoured to accumulate in this chapter 

 a considerable part of the uninteresting details of com- 

 putation which accompany the solution of complicated 

 problems. It is at the readers' pleasure to omit the ' 

 whole of it, referring to it afterwards in cases where 

 its assistance may be necessary. 



In Table I. we see (I.) a column headed t^ con- 

 taining the series -00, -01 '99, 1-00, 2, or 



every hundredth of a unit from to 2 (I I.) a column 

 headed H, deduced in the manner pointed out in page 

 17, (HI.) columns headed A and A 2 , which are 

 only the differences of the numbers in column H 

 (marked A), and the differences of those differences, 

 (marked A"). The following is an extract from the 

 table : 



The columns A and A 2 must be made up to 7 places 

 of decimals * by means of ciphers : thus,, 90046 means 

 0090046'; and 86l means -0000861. The formation 

 of A and A is then as follows : 



5116683 -0090046 



5027498 -0089185 



Subt. -0090046 



0089185 



0000861 



* A little practice will show how to dispense with the decimal points 

 altogether till the end of the process. 

 F 3 



