Rolling Offset

True offset = sqrt(rise^2 + roll^2) (Pythagoras); travel = true offset * cosecant(angle) = true offset / sin(angle); run advance = true offset / tan(angle); multiplier = 1 / sin(angle).

First-principles rolling-offset trigonometry used in pipe fitting and conduit work (the Pythagorean true-offset and the cosecant travel multiplier); public, as taught in NCCER pipefitting and the standard fitter's references, by name.

Public first-principles trig. Fitting make-up / take-out is product-specific and user-supplied.

Estimate. AHJ and licensed professional govern.

Field names used by the API: rise_in, roll_in, angle_deg, true_offset_in, travel_in

• Fitting make-up product-specific, user-supplied; the multiplier is the center-to-center geometry onlyfitting reference