. Railroad construction, theory and practice; a text-book for the use of students in colleges and technical schools . Fig. 148. CK-^CS : CK-CS:: tan ^{CSK-^CKS) : tan i(CSK-CKS);(2R-d-KsinF) : {d-g-K sin F:: cot JiA : tan |F; 2n(d-^-i^sin F) tan i0= .... From triangle COiK, OyK : Ci^::sin ^/^ : sin {F-xp)](r-ig) : (i2-|sf-i^ sin F) ::sin ^ : sin (F-ip); sin t/ (86) (.r-ig) = iR-ig-KsmF) sin (F-«^) (87) 352Also RAILROAD CONSTRUCTION. KS==2{r-ig)smi{F-^) §310. (88). Fig. 149. Two other cases are possible, (a) r may increase until itbecomes infinite (see Fig. 149), then F = \p. In such a casewe m


. Railroad construction, theory and practice; a text-book for the use of students in colleges and technical schools . Fig. 148. CK-^CS : CK-CS:: tan ^{CSK-^CKS) : tan i(CSK-CKS);(2R-d-KsinF) : {d-g-K sin F:: cot JiA : tan |F; 2n(d-^-i^sin F) tan i0= .... From triangle COiK, OyK : Ci^::sin ^/^ : sin {F-xp)](r-ig) : (i2-|sf-i^ sin F) ::sin ^ : sin (F-ip); sin t/ (86) (.r-ig) = iR-ig-KsmF) sin (F-«^) (87) 352Also RAILROAD CONSTRUCTION. KS==2{r-ig)smi{F-^) §310. (88). Fig. 149. Two other cases are possible, (a) r may increase until itbecomes infinite (see Fig. 149), then F = \p. In such a casewe may write, by substituting in Eq. 86, 2R-d-K sin F = ^n{d-g-K sin F). (89)


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