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fry � <br />M <br />I <br />0 <br />l <br />TAn1,R IV — Tangents and Externals t6 a 10 Care <br />Angle 17'.7., nt I 1 +101011 II <br />41agle I <br />1 iegent I <br />NXIM -11 � <br />Angle I <br />Pmbent I LxUrOat <br />6L' <br />1i.0 U <br />920 2 <br />710 <br />4066 9 <br />1404 2 <br />S16 <br />130 G <br />ISO) 3 <br />10 <br />3380 9 <br />920 0 <br />1G ! <br />4099 0 <br />1313 G <br />10 <br />40Ub 0 <br />Ib I4 ' <br />20 <br />330' 5 <br />911 6 <br />20 I <br />4112 1 <br />13!) 9 <br />_'0 <br />4923 r <br />lb24 1 <br />30 <br />3108 8 <br />'937 3 <br />30 <br />4194.18 <br />1330 9 <br />d0 <br />49'1 0 <br />1533 C. <br />40 <br />34_'0 1 <br />Ola 1 <br />40 <br />4137 4 <br />1437 7 <br />40 <br />4901 5 <br />14t„ I <br />50 <br />3431'4 <br />948 9 <br />_ 150 <br />4100 1 <br />1140 1 <br />60 <br />4966 1 <br />lb0' b <br />62 <br />3442 7 <br />054 8 <br />72 <br />41G2 8 <br />132 6 <br />82 <br />4980 7 <br />196, 2 <br />]0 <br />34,4 1 <br />960 6 <br />10 <br />4177 0 <br />1960 1 <br />10 <br />499) 4 <br />18-1 8 <br />20 <br />3145 4 <br />966 " <br />20 <br />4149 0 <br />136i 8 <br />23 <br />X010 0 <br />1681 <br />90 <br />34,6 6 <br />912 4 <br />, 30 <br />4201 2 <br />1371 2 <br />30 <br />)0..4 8 <br />184E 2 <br />40 <br />3488 4 <br />978 3 <br />40 <br />4214 0 <br />11822 8 <br />40 <br />5099 0 <br />1000 9 <br />1 50 <br />4499 7 <br />9b4 3 <br />60 <br />4326 8 <br />1400 4 <br />b0 <br />5014 3 <br />1910 7 <br />03 <br />301 1 <br />070 2 <br />7 R <br />4294 7 <br />1398 0 <br />83 <br />5060 2 <br />1020 0 <br />10 <br />3+32 6 <br />994 2 <br />10 <br />42.,9 6 <br />140, 7 <br />10 <br />1041 0 <br />1930 4 <br />20 <br />3)34 1 <br />1002 3 <br />20 <br />4265 G <br />1119 0 <br />20 <br />6090 0 <br />1910 9 <br />40 <br />1 A5 6 <br />1006 3 <br />So <br />4278 5 <br />1421 2 <br />30 <br />5111 9 <br />19ao 3 <br />40 <br />3,)7 2 <br />1014 4 <br />40 <br />4291 5 <br />1429 0 <br />40 <br />512S 9 <br />1960 2 <br />50 <br />3)G8 7 <br />1020 6 <br />00 <br />4.304 G <br />1430 8 <br />50 <br />6143 9 <br />19'0 3 <br />643 + <br />3080 3 <br />1035 6 <br />741 4 <br />4917 6 <br />1444 0 <br />81 <br />5159 0 <br />1980 4 <br />10 <br />3191 0 <br />1012 8 <br />10 <br />4330 i <br />14x3 5 <br />10 <br />1174 1 <br />1410 ) <br />20 <br />9003 1 <br />1039 0 <br />20 <br />4343 8 <br />1450 4 <br />20 <br />5189 3 <br />2000 6 <br />30 <br />3015 1 <br />1045 2 <br />30 <br />4300 9 <br />1468 4 <br />30 <br />.204 4 <br />2010 8 <br />40 <br />3026 8 <br />10)1 4 <br />40 <br />43'10 1 <br />14,b 1 <br />40 <br />5219 7 <br />2021 1 <br />50 <br />3619 0 <br />1007 7 <br />00 <br />4393 3 <br />1484.,l, <br />50 <br />6234 9 <br />2o31 4 <br />61 ' <br />ir50 2 <br />3OG3 0 <br />7T <br />430.+ 5 <br />1492 4 <br />SS <br />52,0 3 <br />2011 7 <br />10 <br />nbt1 9 <br />10.0 2 <br />10 <br />4409 S <br />1"00 5 <br />10 <br />520) G <br />200! 1 <br />N <br />3673 7 <br />1076 6 <br />20 <br />4123 t <br />1)09 G <br />20 <br />-,291 0 <br />20(2 0 <br />t0 <br />365) 4 <br />1051 9 <br />10 <br />4436 4 <br />1510 ' <br />30 <br />6296 4 <br />26"3 0 <br />40 <br />3097 2 <br />1089 d <br />10 <br />4449 r <br />152t 9 <br />40 <br />5311 9 <br />2Ub3 ) <br />50 <br />3709 0 <br />l09) 7 <br />+ 00 <br />4463 1 <br />1531 1 <br />00 <br />• )327 4 <br />'094 1 <br />00 <br />3'20 0 <br />1302 2 <br />7R <br />4416 5 <br />1041 4 <br />80 <br />3144 0 <br />2104 ' <br />. 10 <br />3.33 7 <br />1109 6 <br />10 <br />4159 0 <br />IAD 7 <br />10 <br />Slob b <br />2114 3 <br />20 <br />1744 (1 <br />1115 1 <br />30 <br />41)0' 4 <br />1 119 0 <br />20 <br />7174 2 <br />2126 0 <br />10 <br />3756 0 <br />1121 7 <br />10 <br />4-)1(, 91 <br />As 1 <br />90 <br />j W, 9 <br />21 b 7 <br />40 <br />3.L5 0 <br />1129 2 <br />40 <br />4130 t <br />1 )7, 7 <br />40 <br />110) G <br />137 7 <br />50 <br />37SO 4 <br />1114 8 <br />50 <br />4544 0 <br />1,93 1 <br />50 <br />)451 4 <br />2155 4 <br />67 <br />3702 4 <br />1141 4 <br />77 <br />4507 6 <br />101 6 <br />87 <br />1M 1 <br />2169 2 <br />10 <br />9904 4 <br />1148 0 <br />10 <br />40,1 2 <br />Woo I <br />10 <br />i4 a9 1 <br />2190 2 <br />20 <br />3816 4 <br />,104 7 <br />2O <br />4x84 8 <br />1G09 6 <br />20 <br />5409 0 <br />2101 1 <br />3D <br />1323 4 <br />1161 3 <br />30 <br />4008 5 <br />1G17 1 <br />30 <br />514t 9 <br />'20) 2 <br />4D <br />'3540 5 <br />1108 1 <br />40 <br />4612' 2 <br />1625 7 <br />10 <br />0)00 0 <br />2219 2 <br />00 <br />3bj2 6 <br />1174 8 <br />50 <br />4(l_'6 0 <br />1634 4 <br />50 <br />..117 0 <br />2424 8 <br />68 <br />3564 <br />1161 6 <br />7A <br />4034 9 <br />1643 0 <br />88 <br />0033 1 <br />223) u <br />1Q <br />lb -6 8 <br />1199 1 <br />10 <br />4G "11 <br />1651 7 <br />10 <br />.749 2 <br />2231. 7 <br />20 <br />35b7 0 <br />114. 2 <br />t 20 <br />466- 4 <br />IGGO 5 <br />10 <br />015) 4 <br />2219 0 <br />30 <br />Soot 9 <br />1202 0 <br />i0 <br />46bl 3 <br />1669 : <br />30 <br />6581 6 <br />22119 3 <br />40 <br />till 4 <br />1208 9 <br />40 <br />4GJ5 2 <br />1679 1 <br />40 <br />5091 8 <br />`2_'80 6 <br />50 <br />3120 6 <br />121) 8 <br />A <br />I-09 3 <br />Me 9 <br />00 <br />'loll ) <br />212 0 <br />G9 <br />,137 9 <br />1222 , <br />. q <br />4.23 2 <br />1695 8 <br />84 <br />5rr30 5 <br />^_303 5 <br />10 <br />3900 2 <br />1219 ' <br />10 <br />4 1' 2 <br />1704 7 <br />10 <br />7(116 9 <br />3915 0 <br />20 <br />39r2 ') <br />12117 , <br />!D <br />4101 2 <br />1713 7 <br />20 <br />, -)663 4 <br />2321, 6 <br />40 <br />10"4 3 <br />1249 ' <br />0 <br />4.63 4 <br />1"22 7 <br />, 90 <br />009 9 <br />2314 2 <br />40 <br />3)S 2 <br />1910 8 <br />40 <br />4779 4 <br />1,31 7 <br />40 <br />.696 4 <br />2349 8 <br />50 <br />'D99 ) <br />120. 9 <br />00 <br />4793 6 <br />1r 10 8 <br />a0 <br />0 18 0 <br />2361 0 <br />70 <br />4011 9 <br />12W 0 <br />841 <br />480" 7 <br />1749 0 <br />00 <br />572Q 7 <br />M.3 9 <br />10 <br />4024 4 <br />1271 1 <br />10 <br />4W 0 <br />1709 0 <br />10 <br />574G 3 <br />2iS. 1 <br />20 <br />401E 9 <br />12-0 4 <br />!0 <br />4S3b 2 <br />17(9 2 <br />20 <br />0783 L <br />250' 0 <br />10 <br />4011 t <br />124( ) <br />10 <br />4b70 3 <br />17.7 4 <br />10 <br />5T9 1J <br />2409 q <br />to <br />4061 8 <br />120I 0 <br />40 <br />4664 8 <br />1-86 ' <br />40 <br />5796 , <br />2420 4 <br />00 <br />4074 4 <br />1101 9 <br />50 <br />4870 2 <br />1796 0 <br />0D <br />0813 6 <br />1 412 9 <br />TABLE IV — Tangents and Fxternals to a 10 Cnrce <br />I Angle <br />Tant.t <br />Ectetnal <br />Angle I Tangent <br />I F4tmml <br />I <br />Angle <br />, <br />Tsageat <br />Ertetual <br />910 <br />0930 5 I <br />24 t i 9 <br />1010 <br />69 i0 6 <br />3278 1 <br />1116 <br />8340 7 <br />4386 1 <br />10 <br />0847 5 <br />21,fr 1 <br />10 <br />6971 3 <br />3594 1 <br />10 <br />8362 7 <br />440+ 6 <br />20 <br />0864 6 1f <br />2409 3 <br />20 <br />6902 0 <br />3310 1 <br />30 <br />4938 0 <br />4429 2 <br />30 <br />0881 7 <br />24S1 0 <br />30 <br />5012 7 <br />3326 1 <br />30 <br />8410 1 <br />4400 9 <br />40 <br />0898 8 <br />2493 8 <br />40 <br />7093 b <br />3342 3 <br />40 <br />8441 a <br />4472 7 <br />50 <br />5916 0 <br />.BOG 1 <br />50 <br />7004 5 <br />93j8 a <br />50 <br />8448 0 <br />4494 6 <br />92 <br />5933 2 <br />2516 5 <br />102 <br />70,5 5 <br />3974 9 <br />112 <br />8494 b <br />4516 6 <br />1 10 <br />.000 5 <br />2x31 0 <br />10 <br />7096 6 <br />5991 2 <br />10 <br />8521 81 <br />4a98 8 <br />20 <br />0967 9 <br />2033 5 <br />20 <br />7117 8 <br />3407 i <br />20 <br />6048 1 <br />4.+61 1 <br />30 <br />5985 3 <br />2106 0 <br />+ 10 <br />7139 0 <br />$424 4 <br />30 <br />8-)75 0 <br />4053 4 <br />40 <br />6002 i <br />2068 6 <br />40 <br />7160 3 <br />9440 9 <br />40 <br />SW l <br />4G06 0 <br />W <br />6020 2 <br />2081 8 <br />50 <br />7181 7 <br />8407 6 <br />00 <br />861.9 3 <br />4628 6 <br />93 <br />6037 8 <br />204 0 <br />103 <br />"203 2 <br />3474 4 <br />113 <br />86.16 6 <br />4G51 3 <br />10 <br />0005 4 <br />2600 8 <br />10 <br />7224 7 <br />3491 3 <br />10 <br />8684 0 <br />4674 2 <br />30 <br />6073 1 <br />2019 7 <br />20 <br />7240 9 <br />3.08 2 <br />20 <br />8711 5 <br />469, 2 <br />30 <br />6090 8 <br />263! 6 <br />30 <br />7268 0 <br />90?4 2 <br />90 <br />8719 2 <br />4720 9 <br />40 <br />0108 0 <br />3640 0 <br />40 <br />7269 8 <br />1042 4 <br />40 <br />876' 0 <br />4749 6 <br />50 <br />5126 4 <br />2018 5 <br />50 <br />7311 7 <br />3.09 6 <br />50 <br />-8,94 9" <br />4'66 9 <br />94 <br />6144 3 <br />2671 6 <br />104 <br />7333 G <br />3o7G S <br />114 <br />8822 9 <br />4790 4 <br />to <br />6162 6 <br />2694 7 <br />10 <br />7355 6 <br />304 3 <br />10 <br />6651 0 <br />.481411 <br />20 <br />6160 2 <br />2669+ 9 <br />20 <br />7377 8 <br />961[ 7 <br />20 <br />S479 d <br />4337 8 <br />t 30 <br />6193 S <br />2711 2 <br />30 <br />7499 9 <br />34!9 2 <br />30 <br />SW r <br />4961 7 <br />1 40 <br />8216 4 <br />2724 5 <br />40 <br />742.2 2 <br />3646 8 <br />40 <br />8936 9 <br />4860 7 <br />1 50 <br />6234 6 <br />2737 9 <br />00 <br />7444 63(.84 <br />5 <br />00 <br />3965 0 <br />14909 9 <br />96 <br />62)2 a <br />4101 3 <br />105 <br />.467 0 <br />36928 <br />116 <br />9993 9 <br />4934 1 <br />10 <br />02.I 1 <br />2764 8 <br />10 <br />7449 6 <br />3700 2 <br />110 <br />9022 7 <br />4919 6 <br />20 <br />6299 4 <br />27783-V <br />7512 2 <br />8716 9 <br />20 <br />OWI 7 <br />4451 1 <br />30 <br />0"07 9 <br />2792 0 <br />30 <br />7034 9 <br />3736 2 <br />80 <br />0090 9 <br />)607 9 <br />40 <br />6926 3 <br />2805 6 <br />40 <br />7057 7 <br />3714 4 <br />40 <br />9110 d <br />6092 6 <br />50 <br />6344 8 <br />2819 4 <br />50 <br />7180 5 <br />3773 6 <br />50 <br />9119 8 <br />505, 6 <br />88 <br />6963 4 <br />2433 2 <br />1041 <br />7603 o <br />9-91 0 <br />116 <br />9169 4 <br />5032 7 <br />1 10 <br />6382 1 <br />2841 0 <br />10 <br />7826 6 <br />88094 <br />l0 <br />9199 1 <br />'0107 9 <br />20 <br />$400 8 <br />26G1 0 <br />20 <br />7649 7 <br />$827 9 <br />20 <br />9229 0 <br />5133 3 <br />$0 <br />6419 5 <br />29,0 0 <br />$0 <br />+672 9 <br />sits 5 <br />30 <br />9259 0 <br />61588 <br />40 <br />6438 4 <br />2969 0 <br />40 <br />7696 3 <br />$865 2 <br />40 <br />9289 2 <br />51810 <br />50 <br />6407 IJ <br />^_903 1 <br />50 <br />1719 7 <br />86840 <br />1 60 <br />9319 5 <br />52LO 3 <br />97 <br />64.6 2 <br />2917 8 <br />107 <br />7743 1 <br />3902 9 <br />117 <br />9349 9 <br />5286 2 <br />10 <br />6490 9 <br />2931 6 <br />7766 8 <br />3921 91 <br />'110 <br />9360 i <br />5262 3 <br />20 <br />6514 d <br />2945 9 <br />.010 <br />20 <br />7.90 5 <br />3940 9 <br />20 <br />9411 3 <br />0288 S <br />30 <br />6133 4 <br />2960 3 <br />d0 <br />7814 3 <br />41960 1 <br />30 <br />9442 2 <br />5310 0 <br />0 40 <br />6002 0 <br />1974 7 <br />40 1 <br />7838 1 <br />$979 4 <br />40 <br />9473 2 <br />5341 5 <br />50 <br />6071 9 <br />2989 2 <br />50 <br />7863 1 <br />3998 7 <br />50 <br />9504 4" <br />5366 2 <br />98 <br />G-Y9t 2 <br />30038 <br />1011, <br />7886 2 <br />40182 <br />118 <br />9535 7 <br />6395 1 <br />X10 <br />6610 6 <br />3019 4 <br />10 <br />7910 4 <br />4037 5, <br />10 <br />L b7 2 <br />5422 l <br />20 <br />0630 1 <br />9033 1 <br />20 <br />1933 6 <br />14037 4 <br />20 <br />9098 954619 <br />9 <br />30 <br />6549 6 <br />80.7 9 <br />80 <br />7909 0 <br />4077 2 <br />30 <br />9630 7 <br />'5476 o <br />40 <br />6669 2 <br />3062B <br />40 <br />7993 0 <br />"4097 1 <br />40 <br />9662 6 <br />x.504 0 <br />50 <br />WSS 8 <br />3077 7 <br />60 <br />$008 0 <br />14114 0 <br />60 1 <br />, 9604 7 <br />5531 7 <br />99 <br />6708 6 <br />3092 7- <br />109 <br />8033 7 <br />4187 1 <br />119 <br />9727 0 <br />5559 4 <br />110 <br />6728 4 <br />3107 7 <br />10, <br />8007 4 <br />X4157 3 <br />1 101 <br />119759 4 <br />5087 4 <br />20 <br />6748 2 <br />3122 9 <br />20 <br />6092 8 <br />4177 6 <br />20 <br />9.92 0 <br />5615 5 <br />30 <br />6768 1 <br />3133 1 <br />80 <br />610' 3 <br />'419" 9 <br />1 30 <br />9824 8 <br />6643 8 <br />40 <br />6788 1 <br />8163 3 <br />40 <br />8132 3 <br />4218 4 <br />40 <br />9807 7 <br />5872 8 <br />60 <br />5803 2 <br />3168 7 <br />50 <br />8157 5 <br />423901 <br />+ 50 <br />9690 8 <br />6100 9 <br />100 <br />66283 <br />8154 1 <br />110 <br />'6192 8 <br />4259 7 <br />120 <br />9924 0 <br />.6729 7 <br />' 10 <br />6848a <br />3199 9 <br />10 <br />,8208 9 <br />4280 6 <br />10 <br />99x7 5 <br />6758 6 <br />20 <br />6863 6 <br />3210 1 <br />20 <br />.8233 1 <br />4301 4 <br />20 <br />9091 0 <br />5787 " <br />30 <br />6 <br />6 <br />6990 <br />1 <br />32465 <br />40 <br />210 <br />+ <br />0 <br />40 <br />butt5 <br />1 <br />32623 <br />60 <br />83N 8 <br />44364 8 <br />; 00 <br />13 <br />0093 0 <br />In <br />