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<br />,TAsrx N — Middle Ordinates fur Rails
<br />DNg•
<br />Of
<br />Corso
<br />LENGTH OF RAILS
<br />'
<br />Dog
<br />of
<br />Come
<br />LENGTH IOP RAMS
<br />182
<br />30
<br />28
<br />9&
<br />24,
<br />2a
<br />206
<br />3S so (
<br />28
<br />26
<br />, 24
<br />22
<br />20
<br />I°
<br />1092
<br />020
<br />017
<br />010
<br />018
<br />011
<br />009•
<br />16"
<br />356 313`
<br />2iH
<br />299
<br />200
<br />1,0
<br />139
<br />A_
<br />' 04-,
<br />93q
<br />014
<br />090
<br />021
<br />6111
<br />1017
<br />17
<br />378 339
<br />296
<br />352
<br />213
<br />183,
<br />148
<br />.3 '
<br />037
<br />059
<br />061
<br />044
<br />00
<br />013
<br />02&
<br />IS
<br />400351
<br />'906
<br />265
<br />' 225
<br />190'156
<br />4i''
<br />089'
<br />0,9
<br />0681'
<br />0✓9
<br />054
<br />042
<br />0lor
<br />' 19
<br />423 371
<br />'424
<br />280
<br />298
<br />20T
<br />165
<br />61A
<br />112
<br />0q8,
<br />ON
<br />074
<br />063
<br />0A
<br />044
<br />20
<br />445 392
<br />S44
<br />296
<br />2✓0
<br />'
<br />213
<br />174
<br />8
<br />114
<br />118
<br />1031,088
<br />0-.1
<br />068
<br />OW2
<br />29
<br />466 410
<br />Soy
<br />309
<br />292223,
<br />182
<br />.71i
<br />156
<br />137
<br />1261
<br />103
<br />088
<br />074
<br />061
<br />2-
<br />487 430,
<br />37V
<br />325
<br />290
<br />233
<br />191
<br />6B
<br />179,
<br />157
<br />137
<br />118
<br />100
<br />084
<br />070
<br />,2i
<br />609 4.0
<br />390
<br />338
<br />287
<br />24g
<br />199
<br />9 i,
<br />201
<br />117
<br />W
<br />138
<br />113•
<br />095
<br />078
<br />, 24
<br />o3146
<br />.408
<br />304
<br />299
<br />258
<br />208
<br />10 ,
<br />223
<br />196
<br />171
<br />147
<br />m
<br />100
<br />087
<br />125
<br />002 48&,
<br />424
<br />367
<br />311
<br />1263
<br />216
<br />11
<br />245
<br />216
<br />168
<br />162
<br />138
<br />116
<br />1096
<br />26
<br />673 500
<br />441
<br />992
<br />323
<br />1274
<br />225
<br />12C
<br />288.
<br />29✓
<br />200
<br />677
<br />159
<br />`127
<br />100
<br />127
<br />5" 5241
<br />.1"
<br />f 196
<br />S96
<br />284
<br />=3
<br />l4
<br />290
<br />254
<br />2221
<br />192
<br />108
<br />188
<br />113
<br />28
<br />618 54v
<br />476Ilj
<br />411
<br />348
<br />294'
<br />242
<br />14 r
<br />312
<br />275
<br />2391
<br />.207
<br />1,8
<br />1413
<br />122
<br />29
<br />.038 -,64
<br />*491
<br />424
<br />q61
<br />Sar
<br />250
<br />19,
<br />334
<br />295
<br />257
<br />223
<br />189
<br />109
<br />111
<br />$10
<br />660 .8V508
<br />¢80
<br />374
<br />1313
<br />209
<br />I
<br />It 1, ' .—I ! 1' CUHYF 1.6RAlULrL
<br />7K. _ !P `tan r, Y .,. n N i 1
<br />T�+`S= T cat $ I ,'r ' + Chord deaf' = chord2'
<br />R= 50 R '
<br />i
<br />Sul D=.)Oi 1 c, l , -gin l D, = ,No 'chords= � 1
<br />L=R ds sec '1 4 , D-,
<br />Sin D = 50 tan y+ I I 1 „r
<br />T 1 F,=T tan ' J T.m defy_ chord def
<br />I
<br />;7ne square of any dl9tanca, divided, by twice the sadius, will equal the
<br />distance from itingent to curve, very nearly , „
<br />-Table IV , contaLi s Tangents and Emernals to a 10 curve Tan and Kit
<br />to any other radia,, ma} be found, usexly enough, by dividing the Tan or
<br />Ext', apposite the, given central angle by the,'gir ea degree of,, curve
<br />jTo find`Deg oft Curve, ,kving the Central Angle and Tangent ihvide
<br />Tan opposite the given, Central 4ngle by the, given Tangent
<br />- To find Dog of Curve,th,iving the Central Angle and External Divide
<br />E$t. oppositelthe given Central Angle by the given ,+;sternal ' ,
<br />,To find Natl Tan and' Vat L% gec for any angle by Table IV Tan
<br />or Fst of twice the given angle divided, by the radius of a le curve ihll be
<br />the Nat Tau or Nat Es Ser
<br />To find angle for a given distlnce and deflection
<br />Wo 1 -Multiply the giveul distance by 101745 (def for 10 for 1 ft ), and
<br />ditide giv,en cleflection by the roduct '
<br />Rule 2 kultlply gives flection by 57 3, and divide the product by
<br />thegiven distance `
<br />To find deflection for a gAen angle and,ilistanee , Multiply ,the angie
<br />by 0174), and the, produpS byT the distance k
<br />RIGHT`ANGLE T8[ANGLE5 Square the'altAude, diode by twice the base i
<br />Addquotient to base for hypothenaso, I. e N
<br />Given Base 100, Alt 10 102-200,= 5 100-}- 5=100 5 hyp
<br />Given Hyl) 100, Alt 25 259-200•. =3 125 100-3.125=06' $75=Esse
<br />Error in first example, 002, in last,. 045
<br />To find Tons of Bail in one mile of tack multiply weight per yard
<br />11, and divide by 7 ,
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<br />7
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