TBIQOKOHETBIC FUNCTION xxxix 



Example. IVsired tl:- f 37-75. 



<>n lim* 37 u: :>z c .j is 0.6115. ' interpolate for the remainiiii: 



we must add 0.5 of tin- tabular li:. .. hirli. ly insertion, is 14. 



0.5 x 14= 7, as can be s in tin- interpolation table 14 opposite- the 



37. 



a 37.75 =0.6115 -f .0007 = 0.6122. 



Example. Desired the natural cotangent of 72. 28. 



The cosines and cotangents read upward in the right-hand degree column. 



Line 72. rolunm .2, gives 0.3211 



0.8 of difference (19), to be subtracted, 15 



. . natural cotangent 72.28 =0.3196 



All of the tables are used similarly. 



LOGARITHMS OF SINES, COSINES, TANGENTS, AND COTANGENTS. 



sets of talilrs arc i^ivrii, four-place and live-place, rcspec- 



v. The four-place tallies read to tenths and hundivdths of 



convenient for ^cnrral rou.^h work and with instrn- 



iin-: :ng to tenths <>f a degree. The fivc-j.lacc tables s^ive 



values to minutes direct. They are adapted to a very large part of 



measurements ordinarily made in experimental work. 



i to half <r quarter minutes is easily made in them 



itally. A computer wml. > r than that would naturally 



Vega, or other enveni-ntly an ''ii-place 



ppin.u' unnecessary places. 



ted under the discussion of logarithm 1 | 

 he ne-itive cha ract e ri >t ic is h-re retained U the 



. with the apjiended 10. 



The use of the tables needs little explanation. The four-place 

 .is ihe tal ' he natural functions. In 



the than 45, read the tables downwa- 



usii ;mn at ihe left hand. 1 'iian 



45, read tin- : the minute column at the i 



'V. and take care to employ the column-headings 



Examples. 



fx)g sin 31 2* = T.7i 643, 

 Log tan 54 46' =0.15 101. 



