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Vertical Curves
Vertical Curves are nice! I think they are easier to solve than Horizontal Curves because they are essentially parabola equations (which you should be very used to). This is the formula for vertical curves
y(x) = y_{PVC} + G_1x + \frac{1}{2}Rx^2
y(x) is the elevation y at x horizontal distance into the curve from the start position
y_{PVC} is the starting elevation at x = 0.
Horizontal Curves Definitions and Formulas
Horizontal Curve Formulas
L = 100\frac{I^{\circ}}{D^{\circ}}
L = RI_{\text{radians}}
L = \frac{RI 2 \pi}{360^{\circ}}
R = \frac{5729.578}{D}
T = R\tan\frac{I}{2}
LC = 2R\sin\frac{I}{2}
E = T\tan\frac{I}{4}
M = E\cos\frac{I}{2}
