464 Prof. C. Runge on Real and Accidental Coincidences 



Abscissa. 



Ordinate. 



Abscissa. 



Ordinate. 



•00 to -05 



1-28 



•90 to -95 



•35 



•05 „ -10 



1-28 



•95 „ 1-00 



•32 



•10 „ -15 



1-27 



1-00 „ 1-05 



•28 



•15 „ -20 



1-26 



1-05 „ 1-10 



•25 



•20 „ -25 



1-24 



110 „ 1-15 



•23 



•25 ., -30 



1-18 



1-15 „ 1-20 



•20 



•30 „ -35 



1-10 



T20 „ 1-25 



•18 



•35 „ -40 



1-02 



125 „ 1-30 



•15 



•40 „ -45 



•96 



1-30 „ 1-35 



•13 



•45 „ -50 



•90 



135 „ 1-40 



•11 



•50 „ -55 



•82 



T40 „ 1-45 



•11 



•55 „ -60 



•74 



T45 „ 150 



•11 



•60 „ -65 



•67 



1-50 „ 1-55 



•09 



•65 „ -70 



•59 



1-55 „ 1-60 



•08 



•70 „ -75 



•57 



T60 „ 1-65 



•07 



•75 „ -80 



•50 



1-65 „ 175 



•06 



•80 „ -85 



•44 



1-75 „ 1-80 



•06 



•85 „ -90 



•39 



1-80 „ 1-85 



•05 



Abscissa. 



Ordinate. 



1-85 to 1-90 



•05 



1-90 „ 200 



♦04 



200 „ 2-05 



•04 



2-05 „ 210 



•04 



2-10 „ 2-15 



•03 



2-15 „ 2-20 



•03 



2-20 „ 2-25 



•03 



2-25 „ 2-30 



•02 



2-30 „ 2-35 



•02 



2-35 „ 2-50 



•02 



2-50 „ 2-65 



•02 



2-65 „ 2-80 



•01 



2-80 „ 305 



•01 



3-05 „ 3-35 



•01 



3-35 „ 365 



•01 



3-65 „ 3-80 



•01 



3-80 „ 5-70 



•00 



5-70 „ 6-70 



•00 



In order to compare these values with those given by the 



law of error, I have for the sake of simplicity interpolated the 



values of the ordinate for ay =0*1, 0'2 ; &c v by taking the 



mean of the two neighbouring ordinates. The third column 



2c 

 contains the ordinates of the curve y— —-^e~ c2x2 for c = l'148. 



J-rr 



The table shows the close agreement between the two 



curves. 





Ordinate 



Ordinate 





Ordinate 



Ordinate 



Abscissa. 



curve of 



curve of 



Abscissa. 



curve of 



curve of 





difference. 



error. 





difference. 



error. 



•o 



1-28 



1-30 



1-3 



•14 



•14 



•1 



1-28 



1-28 



1-4 



•11 



•10 



•2 



125 



123 



1-5 



•10 



•07 



•3 



1-14 



1-15 



1-6 



•08 



•04 



•4 



•99 



1-05 



1-7 



•06 



•03 



•5 



•86 



•93 



1-8 



•06 



•02 



•6 



•70 



•81 



1-9 



•05 



•01 



•7 



•58 



•68 



2-0 



•04 



•01 



•8 



•47 



•56 



2-5 



•02 



•00 



•9 



•37 



•45 



3-0 



•01 



•00 



1-0 



•30 



•35 



3-5 



•01 



•00 



11 



•24 



•26 



4-0 



•00 



•00 



1-2 



•19 



•19 









With the spectrum of the water-bands we may now compare 

 any other spectrum we please that lies between the extreme 

 lines of the water-bands. We must expect to find the number 



