138 



On Approximately Simple Wares. 



Accordingly (12), expressed as a combination of simple 

 waves, is 



J (a) cos pt + Jo(a) {cos (p — 2g)t + cos (p + 2q )t } 



+ J,(a){cos (p + 4?) t + cos (p -±q)t} 4- . . . 

 + J 1 («){cos(/>-?>-cos(>+g>} 

 + J 3 (*){cos(^-3g>-c.os(p + 3g)/}+ . . . . (16) 



It' a, representing the maximum disturbance of phase, be 

 small, we may write approximately 



J =l— i« 3 , Ji = ia, J2=8 a % 







J« (3). 



J« (6). 

 + 45005 



J« ( 12). 



J„(18). 

 -01336 



J«. (24). 



-•26005 



+■04769 



-■05623 



1 



+•3390(5 



-•27668 



-•22345 



-■1*799 



-•15404 



2 



+•48609 



-•24287 



-•08493 



-•0075a 



+ •04339 



3 



4-30906 



+ •11477 



+•19514 



+18632 



+ •16127 



4 



4- -13203 



+ •35764 



+ •18250 



+ •06964 



- -00308 



u 



+ 04303 



+ •36209 



-•07347 



— 45537 



-16230 



li 



4- -01139 



+ ■24584 



-•24372 



-•15596 



-06455 



7 



4- -00255 



+ •12959 



-17025 



+ •05140 



+ -130O2 



8 



4- -00049 



+ -0.">653 



+ 01510 



+ •19593 



+•14039 



9 



4- -00008 



+ •02117 



+•23038 



+ •12276 



-03643 



10 



4- -00001 



+•00696 



+■30048 



-•07317 



-16771 



11 





+•00205 



+ •27041 



-•20400 



-•10333 



12 





+ •00055 



+•19528 



-•17624 



+ -07299 



13 





+ •00013 



+ •12015 



-•03092 



+ - 17032 



14 





+•00003 



+•06504 



+ 13157 



f 11803 



15 





+ 00001 



+•03161 



+ 23559 



- -03803 



16 







+•01399 



+ •26108 



-•16631 



17 







+ -00570 



+ •22855 



-•18312 



18 







+ ■00215 



+•17063 



- -09311 



19 







+ •00070 



+ ■11271 



+ 04345 



20 







+ •00025 



+ 06731 



+ •16191 



21 







+ 00008 



+•03686 



+ •22040 



22 







+ •00002 



+ •01871 



+ 23429 



23 







+ •00001 



+ •00886 



+ 20313 



24 









+•00395 



+ •15504 



25 









+ 00106 



+ •10695 



26 









+ -00060 



+ •06778 



27 









+ ■00025 



+•03990 



28 









+ •0005 9 



+ •02200 



29 









+ •00003 



+ 01143 



30 









+ 00001 



+ 00563 



31 











+ 00263 



32 











+ 00118 



33 













+•000" 



34 











+ 00021 



35 











+ •00008 



36 











+•00003 



37 











+•00001 



