@ARTICLE{Kobryń_Andrzej_Multinomial_2000, author={Kobryń, Andrzej}, volume={vol. 49}, number={No 2}, journal={Geodesy and Cartography}, pages={107-117}, howpublished={online}, year={2000}, publisher={Commitee on Geodesy PAS}, abstract={The article presents a family of the so called multinomial transition curves. It is possible to conveniently form the curvatures of those curves through appropriate choice of minimum radius of curve R, tangent gradient at starting point tgu0, and the abscissa of ending point xK, which affects the value of elementary design parameter C=Rtgu0/xK. The possibility to select C values from interval < 1/3; 2/3 > and the unusual position of the curves within the Cartesian coordinate system make them remarkably useful for example at designing road grade lines in order to accomplish optimum compatibility with the relief. The foregoing being borne in mind, the article presents appropriate methods of designing road grade line with the use of the said curves.}, type={Article}, title={Multinomial transition curves to design road grade lines}, URL={http://www.czasopisma.pan.pl/Content/121697/PDF-MASTER/6_GK_TOM_XLIX_ZESZYT_2_2000_Kobryn_Wielomianowe.pdf}, }