AbstractAll angles and linear dimensions required for setting out a clothoid transition curve by any of the possible field methods can be related to each other by factors having the general form (1−kversnψ) or (1±kexsecnψ), whereψis the slope angle andkandnare constants which differ for each element and are so chosen that throughout the rangeψ= 0 toψ= 50°no computed angle is in error by as much as 1″of arc and no linear dimension by more than 1 part in 17,000 in the worst case.