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7 ' <br /> F� T. P CURVE AND REDUCTION TABLES <br /> Pablished by Supns Distsssn Co. <br /> I <br /> 3828 <br /> 1. RadiusReb0 <br /> sin D/2 <br /> r2. Degree of Curve: D=TOOL• Also,sin D/2=; , <br /> p i 3. Tangent T=R tan%I. Also,T=Tfbt�+C. <br /> 4 Length of Curve: L=100 <br /> b. Long Chord L. C.=2R sin I. <br /> 6. Middle Ordinate: M=R(1—cos i) <br /> 7. External E= R —R. Also, E=T tan L' <br /> COS <br /> ZXP"LANATIO19 AND USE OF TA'sLEB� <br /> I!f Given P.I.Sta.83+40.7.1-4,P 2d and D X8.0find: <br /> stations—P.C.-P.L-T. T—T for— r°e+ C. From TOW V and V1 <br /> Z 2392.8+,.197 388.82-!3+,P6.32. fltl� P. C.—83.1.40.7-(3+88.32)-79+72.38... <br /> P.T.—P.C.+L,aid L�tl90!;Qo-109 45-32..897.35 Therefore,P.Z x(79+72.88) <br /> +(6+97.38)�88+�'!4 °, <br /> ORseb—Tt s Binet witih' asd th tfis <br /> square of the distaaoe.!�IIX et oBsi,tdr I Dpeet r5.1p <br /> f Dtetaaoe <br /> X80—Bts.P.C.•27.8?.Hanfaassgtl.fidBX 100 �+.482 ft.AWN espy; <br /> square <br /> tocurve.divided M twice (sgxo�dmately)the,4*0*ss,f m to Mt <br /> to curve.Thus(27:62)*'+(2l) :4>{2'ft, <br /> Ds&stions—DeHection a1]a 3S D for 100 ft I<D for 50 ft., For"X"ft.' <br /> beHection Angle(in minutes)-�$XX XXD For Sts.80 of'above surve Heetion An <br /> -.3 X27.62 X6.8 83.881.Alpo DsaeotZon Ands-dfl for l ft.(pons Tags lIfl XX 195 <br /> X 27.62-53.881. For Sts.I8I 4 DeHeoi as Anile S�.yE�+� -4i 88'. <br /> ZMEMOB—Prom Table:V for P oueve,with ee4te l male of 460(2W,'E 479.8. <br /> Therefsn,for e•39'curve,E s +Ca�sreetisn fram74'a69 T1 7M'* .988 7.411. <br /> `,1 <br />