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TAELL V — 'Waddle Ordlnatjfor Rails <br />Deg <br />of <br />Gm° <br />LE\1,113 OF RA1iS <br />Lee <br />of <br />Curve <br />LENGTH Or RAILS <br />d2 <br />'0 <br />29 <br />20 <br />24 <br />22 <br />20 <br />32 <br />30 <br />2S <br />20 <br />24 <br />122 <br />20 <br />1° <br />022 <br />020 <br />017 <br />010 <br />073 <br />011 <br />009 <br />160 <br />356 <br />313 <br />273 <br />296 <br />200 <br />170 <br />13q <br />' <br />045, <br />0,9 <br />034 <br />030 <br />02a <br />021 <br />017 <br />17 <br />37S <br />333 <br />290 <br />2�2 <br />213 <br />180 <br />148 <br />3 <br />037 <br />0,9 <br />O,)l <br />044 <br />033 <br />093 <br />026 <br />IS <br />400 <br />9SiM, <br />26a <br />225 <br />190 <br />loll <br />4 <br />OS '11'079 <br />066' <br />(la) <br />000 <br />042 <br />'030, <br />_'p19 <br />423 <br />3-1' <br />324 <br />2S0 <br />213 <br />201 <br />16o <br />5 <br />112 <br />10°8' <br />10,36 <br />0-4 <br />063 <br />'V091 <br />(144 <br />20 <br />44-) <br />392 <br />941, <br />296 <br />1250 <br />'R2k2 <br />174 <br />6 <br />114 <br />AIS <br />1,03, <br />^098 <br />07a, <br />003 <br />052 <br />21 <br />460 <br />410 <br />7307 <br />309 <br />262 <br />T-182 <br />7 <br />136 <br />137 <br />120 <br />103 <br />038 <br />074 <br />061 <br />f 22' <br />'4S7 <br />430 <br />370 <br />325 <br />275 <br />2i9 <br />191 <br />S <br />179 <br />157 <br />137 <br />118 <br />100 <br />034 <br />x070 <br />it 23 <br />009 <br />400 <br />3Q0 <br />39S, <br />287 <br />243 <br />199 <br />9 <br />201 <br />17" <br />154 <br />133 <br />113 <br />095 <br />078 <br />24 <br />031 <br />469 <br />'40S <br />3,r4 <br />290 <br />203 <br />203 <br />10 <br />223 <br />196 <br />171 <br />147 <br />126 <br />100 <br />037 <br />'+ 25 <br />X02 <br />'480 <br />424 <br />367 <br />311 <br />269 <br />216 <br />11 <br />240 <br />2l6 <br />193 <br />162 <br />139 <br />Ile <br />096 <br />20 <br />o7i <br />0Ub <br />441 <br />332 <br />929 <br />2-4 <br />220 <br />12 <br />208 <br />23) <br />20, <br />17^ <br />101 <br />127 <br />105 <br />27 <br />094 <br />024 <br />4,7 <br />996 <br />d3i <br />234 <br />233 <br />13 <br />290 <br />24 <br />222 <br />192 <br />163 <br />13S <br />119 <br />2S <br />618 <br />54a <br />47, <br />411 <br />348 <br />2`14 <br />242 <br />11 <br />312 <br />2 7 <br />231, <br />207 <br />l71 <br />143 <br />1_'2 <br />29 <br />634 <br />364 <br />491 <br />424 <br />361 <br />i09 <br />2a0 <br />15 <br />334 <br />2 a <br />217 <br />223 <br />188 <br />1o9 <br />131 <br />1.0 <br />1 bbl) <br />583 <br />1 003 <br />493 <br />d74 <br />did <br />209 <br />CURVE FORMIJLE <br />LT= P tan 4 I R= T cot ; 1 Chord def = chord2 1 <br />T = 50 tan 1� I <br />Sm D, R= 50 R <br />Sin D = :)0 Sill D No chords = , I j <br />1 R E= R ex sec Q I D I� <br />Sin D = 50 ting <br />R = T tan i I Tan def = � chord def <br />T I� <br />The square of any distance, diiided by -twice the radius, will equal the <br />3distance from tangent to curve, ler/ ncaily <br />Table I1' coutam9 Tangents and L'slenials to a 10 curve Tan and Eat. <br />to an} other radius Ina} be found, nearly enough, by dividing the Tan or <br />Ext nnposite the given central angle by the given degree of curve <br />To find Deg of Unrve, having the Centaral Angle and Tangent Divide <br />Tan uppos+te the given Central Angle b} the given Tangent <br />To find Deg of Curve, having the Central Angle and Fxternal Divide ,a <br />Eat opposite the given Central Angle by the gn en External <br />To find Nat Tin and Nat Ex Sec for an} angle by Table IV Tan <br />or Ext of twice the given angle divided by the radiu9 of a 10 curve will be + <br />the Nit Tau or Nat Ea See <br />To find angle for a green distance and deflection <br />Rule 1 Multiply the given distance by 01745 (clef for 10 for 1 ft), and <br />diode given deflection by the product <br />Rule 2 Multiply given deflection by 57 3, and divide the product by f <br />the green distance , _ <br />To find deflection for a given angle and distance Multiply the angle <br />by 01745, and the product by the distance t <br />RIGHT Agri F TRIA,\(,LES — Square the altitude, divide by twice the base , <br />Add quotient to base for hypothenuse f <br />Green Base 100, Alt 10 102-200= 5 100+ 5=100 5 hyp <br />Given Hyp 100 Alt 25 25'--200=3 125 100-3 125=96 875=Base <br />Erroi in first example, 002, in last, 045 <br />To find Tons of hail ill one mile of track multiply weight per yard ;k <br />by 11 and (hide by 7 <br />_ d <br />i <br />3 <br />j 1 <br />