ICPUTATIOS BUI xxni 



are the whole numerator, tr, and r. They should therefore be carried to five 



and r are not so given in tin- data. Whether, 



how. ;. rin mull must be determined by ithrr nirans (see 



remark at f.mt of page xx). Thrir product must. h> arried to five 



1 five-place log tables should be employed. The numerator consists of 

 terms, whose values, n> uirhly, are 



570(52. 6.)= 2600., 120., and 30(288. 274.)= 420. 

 numerator = 2600. + 120. 420. = 2300., muchly. 



ave five places the numerator must be carried to one place of decimals, 

 as also in :--niis. The first trrm is r. imposed of two factors, H' 



ami '</- - '/i , each of which mu- I 1 to live plaivs. Then 



as q t _ q l 52. 6 J.ily, it must be carried to the third decimal ]>'. 



and '/i mu-t racli be carried to the third decimal plan-. The third 

 . in order to extend to the tirst decimal plan-, must contain four figures. 

 ictors, to and (q 73), each of which must thus contain four 

 he value of q q% contain four liirures. its numerical value, 

 14, must be carried to the second decimal place. This would require that both 

 7 and 73 be carried to the second decimal ich. 



To summari/.e. then. putting in an interrogation point whei 

 UL: in the data, we have as the numerical expression to be solved 



_ 573-5 ? (5i-9i ? - 5-53?)+ 120.? - 29.89(287.6? - 274.4?) _ 

 29.89 ?x 891.2? 



. . then, on inspection, although we mi-lit carry out the product- 

 1!' , , . "'(7 73), and irr, each t> the tive liirurrs. much doiilt 



pOB tin- sutlicirncy of the data thnnselvi s to -i\,- the desired o.i 

 -ill. The pro))lem would re<iuire a detailed study by other 

 'xxis to decide that point, the result >!' which, it may be incid-i.' 

 asserted, \\n\\: ise. 



Note. It ii i connection with thrsr i>nlilrms to call 



ti-iii to the v. rv lar^e amount of eimin- Mputations in which four. 



. places O f fi_ .ibumlant. In the dr.-iirn of 



I tie 



nid tin- >t: ivssrs in them. 



d upon within an accuracy of on- 

 This limit i- tix-d by the unreliability of matei ia]s ,,] \v,.rkn, 



.vhicli the parts ma\ Like 



pon whi.-h .spiM-ilicaii-.n^. .stimates. and 



tfl in 

 rmuhr. Mop- than three or four places of i 



< >n the other han-i 

 M as lim .1 



the a< 



