22 



TABLES FOR DETERMINING THE VALUES OF 5® AND ITS DERIVATIVES. 







LOGARITHMIC 



VALUES OF/(«) . « 3 D 3 a b^ 









a* D s if 



log var. for 



« 3 /J> 3 i<°> 



log var. for 



« 3 7jffc(p 



log var. for 



a 3 D 8 b {S J 



« 3 d s m 



a 



10" * * 



.001 of a. 



.001 of a. 



.001 of a. 





f 



.500 



1.3175300 



3.78351 



1.5388628 



3.91156 



1.7245949 



3.97603 



1.8841185 



■2.0237101 



.505 



.3144788 



.78742 



.5347605 



.91656 



.7198329 



.98161 



.8789111 



.0181845 



.510 



.3114002 



.79127 



.5306109 



.92151 



.7150096 



.98716 



.8736321 



.0125799 



.515 



.3082944 . 



.79505 



.5264140 



.92641 



.7101246 



.99266 



.8682810 



.0068954 



.520 



.3051617 



.79877 



.5221698 



.93126 



.7051775 



3.99813 



.8628572 



2.0011302 



.525 



1.3020024 



3.80243 



1.5178781 



3.93606 



1.7001679 



4.00356 



1.8573598 



1.9952832 



.530 



.2988168 



.80600 



.5135388 



.94082 



.6950953 



.00897 



.8517883 



.9893537 



.535 



.2956051 



.80950 



.5091519 



.94553 



.6899594 



.01434 



.8461418 



.9833406 



.540 



.2923677 



.81293 



.5047174 



.95020 



.6847597 



.01968 



. .8404198 



.9772429 



.545 



.2891048 



.81628 



.5002353 



.95482 



.6794959 



.02499 



.8346214 



.9710598 



.550 



1.2858169 



3.81956 



1.4957055 



3.95939 



1.6741676 



4.03027 



1.8287460 



1.9647903 



.555 



.2825044 



.82278 



.4911280 



.96391 



.6687743 



.03551 



.8227928 



.9584332 



.560 



.2791678 



.82592 



.4665029 



.96838 



.6633157 



.04072 



.8167612 



.9519878 



.565 



.2758073 



.82899 



.4818301 



.97280 



.6577914 



.04590 



.8106504 



.9454529 



.570 



.2724230 



.83198 



.4771098 



.97718 



.6522010 



.05104 



.8044598 



.9388273 



.575 



1.2690157 



3.83488 



1.4723419 



3.98151 



1.6465443 



4.05615 



1.7981886 



1 9321103 



.580 



.2655859 



.83771 



.4675266 



.98578 



.6408209 



.06124 



.7918362 



.9253007 



.585 



.2621339 



.84046 



.4626639 



.99000 



.6350304 



.06629 



.7854016 



.9183974 



.590 



.2586605 



.84313 



.4577540 



.99417 



.6291725 



.07130 



.7788841 



.9113994 



.595 



.2551658 



.84572 



.4527970 



3.99829 



.6232468 



.07627 



.7722828 



.9043054 



.600 



1.2516506 



3.84823 



1.4477930 



4.00237 



1.6172530 



4.08121 



1.7655971 



1.8971144 



.605 



.2481152 



.85065 



.4427422 



.00639 



.6111908 



.08612 



.7588260 



.8898252 



.610 



.2445605 



.85298 



.4376448 



.01035 



.6050598 



.09099 



.7519689 



.8824366 



.615 



.2409868 



.85524 



.4325010 



.01426 



.5988598 



.09583 



.7450250 



.8749475 



.620 



.2373950 



.85741 



.4273111 



.01811 



.5925900 



.10064 



.7379935 



.8673566 



.625 



1.2337856 



3.85948 



1.4220753 



4.02190 



1.5862519 



4.10541 



1.7308738 



1.8596627 



.630 



.2301594 



.86145 



.4167940 



.02563 



.5798435 



.11014 



.7236650 



.8518647 



.635 



.2265170 



.86332 



.4114675 



.02930 



.5733651 



.11484 



.7163665 



.8439614 



.640 



.2228592 



.86509 



.4060961 



.03291 



.5668166 



.11950 



.7089777 



.8359514 



.645 



.2191867 



.86678 



.4006803 



.03646 



.5601979 



.12411 



.7014976 



.8278335 



.650 



1.2155004 



3.86839 



1.3952205 



4.03994 



1.5535089 



4.12868 



1.6939258 



1.8196064 



.655 



.2118010 



.86989 



.3897172 



.04335 



.5467494 



.13320 



.6862014 



.8112688 



.660 



.2080894 



.87128 



.3841710 



.04668 



.5399194 



.13768 



.6785038 



.8028196 



.665 



.2043664 



.87255 



.3785824 



.04995 



.5330189 



.14212 



.6706524 



.7942574 



.670 



.2006330 



.87370 



.3729520 



.05315 



.5260480 



.14651 



.6627066 



.7855810 



.675 



1.1968901 



3.87474 



1.3672805 



4.05627 



1.5190067 



4.15085 



1.6546657 



1.7767891 



.680 



.1931386 



.87567 



.3015686 



.05931 



.5118952 



.15513 



.6465292 



.7678804 



.685 



.1893795 



.87649 



.3558170 



.06227 



.5047136 



.15936 



.6382964 



.7588530 



.690 



.1856139 



.87719 



.3500266 



.06515 



.4974621 



.16355 



.6299668 



.7497077 



.095 



.1818428 



.87775 



.3441982 



.06795 



.4901410 



.16768 



.6215400 



.7404412 



.700 



1.1780676 



3.87817 



1.3383328 



4.07006 



1.4827506 



4.17174 



1.6130156 



1.7310529 



.705 



.1742892 



.87846 



.3324313 



.07328 



.4752911 



.17573 



.6043930 



.7215417 



.710 



.1705090 



.87861 



.3264947 



07581 



.4677632 



.17965 



.5956720 



.7119063 



.715 



.1667282 



.87862 



.3205243 



.07824 



.4601673 



.18351 



.5868523 



.7021457 



.720 



.1629480 



.87847 



.3145211 



.08056 



.4525042 



.18731 



.5779336 



.6922589 



.725 



1.1591695 



3.87815 



1.3084864 



4.08278 



1.4447745 



4.19103 



1.5689157 



1.6822445 



.730 



.1553946 



.87766 



.3024215 



.08489 



.4369791 



.19467 



.5597984 



.6721019 



.735 



.1516245 



.87700 



.2963277 



.08688 



.4291185 



. .19824 



.5505817 



.6618301 



.740 



.1478611 



.87616 



.2902067 



.08876 



.4211937 



.20174 



.5412654 



.6514282 



.745 



.1441056 



.87514 



.2840600 



.09053 



.4132056 



.20516 



.5318497 



.6408954 



.750 



1.1403597 



3.87394 



1.2778890 



4.09219 



1.4051551 



4.20851 



1.5223347 



1.6302305 



