An Essay on the Theory and Practice of setting out Railway Curves

30 chains AC or BC actual sine adjusted alternate segment angle ACB angle AO1 angle CBA angle of deflection angle ß angles measured angular quantity apex arcs of equal bisect calculate offsets calculate the radius centre common tangent diagram direction distance double the sine equal circles equal the angle equi-distant Euclid 32 explain a plan fixed Given radius ground half the angle hundred feet instrument internal angle junction length of radius line of collimation lines and angles logarithmic tabular radius mathematical means Natural Sines opposite angles plug point in line point of intersection practice proportional quantity ẞ radiating radius or sine RAILWAY CURVES side sine angle sine of 90 sine of half straight portions sub-tangents subchord subchord d supplement table of natural table of sines tabular sine tangent and chord tangent points tangent respectively thence the angle Theodolite triangle Trigonometry whole arc