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define the points. MEASURE can put points on the lines by a given number or distance. use as many as you want to the precision you want.
data extract the x,y coordinates of all the points
for each point on the straight line paired with all the points on the curved line solve for distance
(delta x)^2 +(delta y)^2 = distance^2
unless there are z values involved in which case use the appropriate math
query for the minimum from each solution set. which is the shortest distance between the two lines from a point on the straight line to a point on the curved line. in cases where y1 = y2 the line is vertical (north-south). x1 = x2 the line is horizontal. (east west)
purely a guess an my part but that is what I interpret out of your vague request in the OP.
dave