|
TABLE -VI. -TANGENTS AND EXTERNALS TO A V C RVE,
<br />------------------------
<br />Central..
<br />Ang1s
<br />T
<br />angent`Eaternal
<br />y .
<br />Ce¢iral
<br />Angie
<br />Ta�ugeni
<br />Esterral
<br />Central
<br />Tangent'Eaterual
<br />81°
<br />1589.0
<br />216.3
<br />4l°
<br />2142.2
<br />1387.4
<br />51°
<br />Angle
<br />618.4
<br />10'
<br />1°
<br />50:Op
<br />22
<br />11°
<br />551.70
<br />28.50
<br />Sl°
<br />1081.8
<br />97.57
<br />10'
<br />59. 34
<br />30
<br />10'
<br />580.11'
<br />27,3]
<br />10'
<br />1070.8
<br />99.18
<br />20
<br />66.67
<br />,39
<br />20
<br />588:53
<br />28.14
<br />20
<br />:1079,2
<br />100.75
<br />30
<br />•- 75.01
<br />.49-
<br />30
<br />576.95
<br />28.97
<br />30
<br />-1087,8
<br />-102.35
<br />40.
<br />83.34
<br />,61
<br />40
<br />585,36
<br />29.82
<br />40
<br />1096.4,'
<br />103.,97
<br />50
<br />91,68
<br />.73
<br />50
<br />593.79'
<br />'30.68
<br />50
<br />1105.1••;`105.80
<br />10
<br />1652.0
<br />100,01
<br />,87
<br />4S
<br />602.21
<br />31:58
<br />28 ';,
<br />1113:7,
<br />20
<br />10.
<br />20
<br />-108`35
<br />116.88
<br />1.02
<br />10
<br />610.64
<br />32.45
<br />IO
<br />-1122.4
<br />,107.24
<br />.108.90
<br />1670.0
<br />:238.4
<br />1.19
<br />20
<br />619.07,
<br />33-35'
<br />20
<br />.1131: p'
<br />110.57
<br />30
<br />125-02
<br />1.36
<br />30
<br />627,50
<br />34-26
<br />30
<br />,1139,7'
<br />112.25
<br />40
<br />133:36
<br />1.55
<br />40'
<br />835!93
<br />35.18
<br />40
<br />1148.4
<br />.113.95
<br />W
<br />141:70
<br />1.75
<br />.50
<br />644:37
<br />-.36-12
<br />- 50
<br />1157.0
<br />115.66 '
<br />3 -
<br />156.04
<br />1.96
<br />13'
<br />652.81
<br />37.07
<br />98
<br />`f165:7
<br />117.38
<br />10,
<br />!:156.38
<br />2.19
<br />'l0
<br />661.25.
<br />38:03
<br />,-.10
<br />1174,4
<br />119.12
<br />20
<br />166.72
<br />2.43
<br />20
<br />669.70,
<br />39.01
<br />..20
<br />,1183.1
<br />•120.87
<br />30
<br />175.06
<br />2.67
<br />30
<br />140
<br />678.15:
<br />39'.99
<br />;-30
<br />1191.8
<br />122.63
<br />40.
<br />183.40
<br />2.93
<br />2305-2
<br />686.60
<br />40,99
<br />'40
<br />•1200:5
<br />124.41
<br />50,191.,74
<br />261.8
<br />3.21
<br />r50
<br />895.06°-';42,00
<br />54
<br />'50
<br />1209,2
<br />126.20
<br />ID'
<br />200,08;,
<br />3.49'
<br />'
<br />.14 "'
<br />703:51
<br />43.03
<br />84
<br />1217,9
<br />.128.00
<br />1770.0,
<br />208.43'
<br />3.79
<br />10
<br />711.97•
<br />-`44.07
<br />• 10
<br />1226.6
<br />.129,82,
<br />20
<br />216.77
<br />4.10
<br />; 20
<br />720'.,44:
<br />r 4512
<br />:,-,'20
<br />1235.3•
<br />131.65
<br />30
<br />,225.12
<br />4.42
<br />30
<br />"'
<br />728.90
<br />• 46.18
<br />30
<br />'1244.0
<br />133.50
<br />40'
<br />. 233.47 .
<br />- ` 4, 78'
<br />'
<br />40
<br />`.
<br />737;,37'
<br />`'47,'25
<br />'40
<br />• 1252.8
<br />135.35
<br />.5p,
<br />241.81
<br />S.10.
<br />50
<br />745185
<br />48.34
<br />50
<br />1261:5:
<br />137.23
<br />8
<br />2W46
<br />-5A&
<br />'
<br />,161 ,
<br />754.32'-
<br />.40.44
<br />25 ,
<br />1270.2
<br />139.11..
<br />,10
<br />258.51
<br />. 5.83
<br />10
<br />762. 80
<br />50.55
<br />10
<br />1279.0'
<br />141.01
<br />20
<br />266.86
<br />"':-6.21
<br />20
<br />771129
<br />51.68
<br />20
<br />1287.7
<br />40
<br />30
<br />.276.21
<br />6.61`
<br />30
<br />140
<br />779,.77;
<br />,152,89
<br />30
<br />'1296.5
<br />.142.93
<br />144.85,
<br />90
<br />"•
<br />283.'57:
<br />,7.01.
<br />2422.3
<br />788''.26
<br />, 53.97
<br />40
<br />1-1305.3
<br />146.79 -
<br />50
<br />291.92
<br />7 43
<br />50
<br />796,75-
<br />55.13
<br />50
<br />1314.0
<br />148.75
<br />6
<br />300.28
<br />7 SB
<br />16`
<br />805 25 '
<br />' .56.31
<br />$6
<br />11322.8
<br />150.71
<br />10
<br />308.64
<br />8.31
<br />10
<br />'813 75
<br />.57.50
<br />10
<br />1331.8
<br />,
<br />152.69
<br />20
<br />316.99
<br />' S.76
<br />20
<br />822.25'
<br />58.70
<br />20
<br />1340.4
<br />154,69
<br />30
<br />325.35
<br />9,23
<br />30
<br />830;.76'
<br />.59;91
<br />30
<br />1349.2
<br />156,70
<br />'40
<br />'333.71;
<br />9,71.
<br />40
<br />839`27
<br />81:19
<br />40
<br />1358.0
<br />•158.72
<br />5p
<br />.342.0$
<br />]0.20
<br />50
<br />847:78
<br />..62.318
<br />., 50
<br />1366,8
<br />,160.76
<br />7
<br />350.44
<br />10.71
<br />17
<br />SM -30
<br />63.63'
<br />'27
<br />.1375.6
<br />:162.81
<br />10
<br />358.81;
<br />11.22
<br />10
<br />864,82
<br />64.90
<br />10
<br />':1384.4
<br />.L64,86
<br />20
<br />367.17
<br />11.75
<br />20
<br />873.35
<br />66.18
<br />20
<br />1398.2
<br />166.95
<br />30
<br />'375.54,
<br />12.29
<br />30
<br />881,88
<br />67.47
<br />30
<br />1402.0
<br />.169.04
<br />40
<br />3S3.91
<br />12.85
<br />_- 40
<br />890.41
<br />68.77-
<br />', 40
<br />1410.9
<br />171.15
<br />50
<br />..392-28'•
<br />13.41
<br />50
<br />•898:95,.
<br />70.09
<br />50
<br />.1419.7
<br />173.27
<br />8.
<br />'10
<br />400.06
<br />.13.99
<br />18
<br />907.49.
<br />71.42
<br />28
<br />1428.6
<br />175,41
<br />1991:5
<br />409,03
<br />I1.58
<br />10
<br />916.03
<br />72.78
<br />10
<br />1437.4
<br />177.55-
<br />20
<br />417.41
<br />15.18
<br />20
<br />924.58
<br />74.12•
<br />20
<br />1446.3
<br />179.72
<br />30
<br />'40
<br />425.79,
<br />15.80
<br />30
<br />933.13
<br />75,49
<br />30
<br />1456.1.
<br />181-89 `
<br />2019.6
<br />434.17
<br />16.43
<br />40
<br />941.69'
<br />76.86
<br />40
<br />1464.0
<br />•184.08 "
<br />50
<br />442.55
<br />' 17.07
<br />50
<br />950.25
<br />78.26
<br />50
<br />1472.9
<br />188.29
<br />9
<br />450.93
<br />17.72
<br />19
<br />958.81
<br />79.67
<br />29
<br />1481.8
<br />188,51
<br />10
<br />459..32
<br />18.38
<br />10
<br />967.38
<br />.81.09
<br />10
<br />1490.7
<br />190.74
<br />20
<br />467.71
<br />19,06
<br />20
<br />975.96
<br />82. 53
<br />20
<br />1499.6
<br />192.99-
<br />'30
<br />478.10
<br />19.75,
<br />30
<br />984.53•
<br />•83.97
<br />30
<br />.1508'5
<br />195.25
<br />.40
<br />484.49
<br />20,.45
<br />40
<br />993.12
<br />55.43
<br />40
<br />1517,4
<br />197.53
<br />50
<br />492.88
<br />21,18
<br />50
<br />1001.7
<br />86.90
<br />-50
<br />1526.3
<br />199.82
<br />to
<br />501.28
<br />21.89
<br />89
<br />1010.3
<br />88.39
<br />30
<br />1535:3
<br />202.12
<br />10
<br />509.68
<br />22.62
<br />10
<br />1018.9
<br />89.89
<br />10
<br />1544.2
<br />204,44
<br />20
<br />518.08
<br />23.38
<br />20
<br />1027.5
<br />91.40
<br />20
<br />1553.1
<br />206.77
<br />30
<br />526AS
<br />24.14
<br />30
<br />1036.1
<br />92.92
<br />30
<br />1562.1
<br />209.12
<br />40
<br />534.89
<br />24.91
<br />40
<br />1044.7
<br />94.46
<br />40
<br />1571.0
<br />211.48
<br />50 1
<br />543.29
<br />25.70
<br />50
<br />1053.3
<br />96.01
<br />50
<br />1580.0
<br />213.86
<br />i�
<br />I TAD1.E VI. -TANGENTS -AND EXTERNALS TO; A 1 ° CURVE
<br />Central
<br />Angle
<br />Tangent
<br />External
<br />Central
<br />Angle
<br />Tangent
<br />External
<br />Central
<br />Angle
<br />Tangent
<br />External
<br />81°
<br />1589.0
<br />216.3
<br />4l°
<br />2142.2
<br />1387.4
<br />51°
<br />2732.9
<br />618.4
<br />10'
<br />1598.0
<br />218.7
<br />10'
<br />2151.7
<br />390.7
<br />10'
<br />2743.1
<br />622.8
<br />20
<br />1606.9
<br />221.1
<br />20
<br />2161.2'
<br />394.1
<br />20
<br />2753.4
<br />627.2
<br />30,1615..9
<br />223.5
<br />30.
<br />2170.8•
<br />397.4
<br />,30
<br />2763.7
<br />631.7
<br />40
<br />1624.9
<br />226.0
<br />40'
<br />2180:3
<br />'400.8
<br />.40
<br />2773.9
<br />636.2
<br />50
<br />1633.9
<br />228.4
<br />50
<br />.2189.9
<br />404.2
<br />50
<br />2784.2
<br />640.7
<br />3S
<br />1643.0.
<br />230.9
<br />d2
<br />2199.4
<br />407.6
<br />52,
<br />2794'.5
<br />645.2
<br />10
<br />1652.0
<br />233.4
<br />10
<br />2209.0'
<br />'411,1
<br />10
<br />2804.9
<br />649.7
<br />20
<br />1661.0
<br />235.9
<br />20
<br />2218.6
<br />414,5
<br />i' 20
<br />2815.2
<br />654.3
<br />30.
<br />1670.0
<br />:238.4
<br />30•
<br />2228.1
<br />'418.0
<br />30
<br />2825.6
<br />658.8
<br />40
<br />1679.1.'
<br />241.0
<br />40
<br />2237.7
<br />421,4
<br />40
<br />2835.9
<br />663.4
<br />50
<br />1688.1
<br />243.5
<br />50
<br />2247.3
<br />'425.0
<br />50
<br />2848.3
<br />668.0
<br />88 -
<br />1697.2''
<br />246.1
<br />-48
<br />2257.0
<br />428,5
<br />53
<br />2856.7
<br />672.7
<br />10;
<br />1706.3'
<br />'248.7
<br />10
<br />2266.6
<br />432.0
<br />",10',
<br />2867.1
<br />677.3
<br />120
<br />1715.3
<br />251.3
<br />20
<br />2276.2
<br />435-6
<br />.20.
<br />2877.5
<br />682.0
<br />'30
<br />1724.4,
<br />'253.9
<br />30.
<br />2285:9'
<br />439.2
<br />30
<br />2888.0
<br />688.7
<br />.•40
<br />1733.5
<br />256.5
<br />40
<br />2295.6
<br />442.8
<br />,-,40;'
<br />2898.4
<br />691.4
<br />50
<br />1742.6
<br />'259.1
<br />50
<br />2305-2
<br />',446.4
<br />50
<br />2908.9
<br />696.1
<br />8d•/.
<br />1751'.7'
<br />261.8
<br />44
<br />2314.9
<br />450.0-
<br />54
<br />2910.4`
<br />700.9
<br />10,'
<br />1760.8
<br />.264.5
<br />.10
<br />2324-6
<br />'453.6
<br />1_10
<br />2029.9
<br />705.7
<br />20
<br />1770.0,
<br />267.2
<br />20
<br />2334-3
<br />457.3
<br />20,
<br />2940.4'
<br />710.5'
<br />30
<br />1779.1
<br />269,9
<br />30
<br />2344e1,
<br />461.0
<br />30.
<br />295I.0
<br />715.3
<br />40
<br />1788.2.
<br />272,8
<br />:• 40•'
<br />2353,8
<br />464.6
<br />40
<br />2961.5
<br />720.1
<br />50
<br />1797.4
<br />275,3
<br />50
<br />2363.5
<br />468.4
<br />50
<br />2972.Y
<br />725.0
<br />98
<br />1806.6
<br />278.1
<br />45
<br />2373.3
<br />472.1
<br />55
<br />2982.7
<br />729.9
<br />10
<br />1815,7
<br />280.8
<br />10
<br />2383,1
<br />475.8
<br />10,
<br />2993.3
<br />734.8
<br />20.
<br />1824.9
<br />'283.6
<br />20
<br />2392,8
<br />479.6
<br />20''
<br />3003.9
<br />739,7
<br />30
<br />1834.1.
<br />286.4
<br />30
<br />2402,6
<br />483.8
<br />30-
<br />3014.5
<br />.744,6
<br />40
<br />1843.3,'
<br />299.2
<br />40
<br />2412.4
<br />'487.2
<br />40
<br />3025:2
<br />749.6
<br />50
<br />1852.5
<br />•292.0
<br />50
<br />2422.3
<br />491.0
<br />'' 50
<br />3035.8
<br />754.6
<br />86
<br />1861.7.
<br />" 294.9
<br />46
<br />2432.1
<br />494.8
<br />56,'
<br />3046.5
<br />'759.6
<br />10
<br />1870.9
<br />297.7
<br />.10
<br />2441.9'
<br />'498.7
<br />,,10
<br />3057.2'
<br />764.6
<br />20
<br />1880.1
<br />300.6
<br />20
<br />2451.8
<br />502,6'
<br />.20
<br />3087.9
<br />769.7
<br />30
<br />1889.4
<br />303.5
<br />30
<br />2461.7
<br />506.4
<br />30.-
<br />3078.7
<br />774.7
<br />40
<br />1898.6
<br />306.4
<br />40
<br />2471.5
<br />510.3
<br />'40'
<br />3089.4
<br />.779.6
<br />50
<br />1907.9
<br />309.3
<br />50
<br />2481.4
<br />514.3
<br />50
<br />3100,2
<br />784-9
<br />37
<br />19t7,1,
<br />312.2
<br />47
<br />2491.3
<br />618.2
<br />57
<br />311p.9
<br />790.1
<br />10.
<br />1926,4'
<br />315.2
<br />10
<br />2501.2
<br />522.2
<br />10.:
<br />3121,7
<br />795.2
<br />20
<br />1935-7
<br />318.1
<br />20
<br />2511.2
<br />526.1
<br />20
<br />3 13 2, 6
<br />800-4
<br />30
<br />1945.0
<br />321.1
<br />30
<br />2521.1
<br />530.1
<br />30,
<br />3143.4
<br />805.6
<br />40
<br />1954,3
<br />324.1
<br />40
<br />2531.1
<br />534.2
<br />40
<br />3154,2
<br />810.9
<br />50
<br />1963.6
<br />327.1
<br />50
<br />2541.0
<br />`338.2
<br />50
<br />3165.1
<br />816.1
<br />88'
<br />1972.9
<br />330.2
<br />48
<br />2551.0
<br />542.2
<br />58
<br />3176.0
<br />821.4
<br />10
<br />1982.2
<br />333.2
<br />10
<br />2561.0
<br />546.3
<br />j 10
<br />3186.9
<br />826.7
<br />20
<br />1991:5
<br />336.3
<br />20
<br />2571.0
<br />550.4
<br />20
<br />3197.8,
<br />832.0
<br />30
<br />2000.9
<br />339.3
<br />30
<br />2581.0
<br />554,5
<br />30,
<br />3208.8
<br />837.3
<br />40
<br />2010.2
<br />342.4
<br />40
<br />2591.0
<br />558,8
<br />40
<br />3219.7
<br />842.7
<br />50
<br />2019.6
<br />345.5
<br />2601.1
<br />562.8
<br />50
<br />3230.7
<br />848.1
<br />¢50
<br />86
<br />2029.0
<br />348.6
<br />49
<br />2611.2
<br />566.9
<br />59
<br />3241.7
<br />853.5
<br />10,
<br />2038.4
<br />351.8
<br />10
<br />2621.2
<br />571.1
<br />10
<br />3262.7
<br />868.9
<br />20
<br />2047:8
<br />354-9
<br />20
<br />2631.3
<br />575.3
<br />20
<br />3263.7
<br />864.3
<br />30
<br />2057.2
<br />358-1
<br />30
<br />2641.4
<br />579.5
<br />30
<br />3274.8
<br />869.8
<br />40
<br />2086.6
<br />361.3
<br />40
<br />2651.5
<br />583.5
<br />40
<br />3285.8
<br />875.3
<br />50
<br />2076.0
<br />364,5
<br />50
<br />2661.6
<br />588.0
<br />5U
<br />3296.9
<br />880.8
<br />40
<br />2085.4
<br />367.7
<br />50
<br />2671.8
<br />592.3
<br />65
<br />3308.0
<br />886.4
<br />10
<br />2094-9
<br />371.0
<br />10
<br />2681.9
<br />596.6
<br />10
<br />3319.1
<br />892.0
<br />20
<br />2104.3
<br />374.2
<br />20
<br />2692.1
<br />600.9
<br />20
<br />3330.3
<br />897.5
<br />- 30
<br />2113.8
<br />377.5
<br />30
<br />2702.3
<br />605.3
<br />30
<br />3341.4
<br />903,2
<br />40
<br />2123.3
<br />380.8
<br />40
<br />2712.5
<br />609.8
<br />40
<br />3352.6
<br />908.8
<br />50
<br />2132.7
<br />384A
<br />50
<br />2722,7
<br />1 614.0
<br />50
<br />3363.8
<br />914.5
<br />
|