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A bounding curve is formed by the graph lines:
x = y(a/b) and x = y((a+1)/(b-1))
where a and b vary continously over a range say a = 1 to 10, b = 1 to 10.
What is the equation for the bounding curve? (it resembles x = 1/y)
If the y axis is tilted at 60 degrees to the x axis, (instead of 90 degrees) a 'squashed' curve is formed. What is the equation for the curve with D degrees as a variable parameter?
Is there a name for this family of curves?
Many thanks!
Graphs for the curves are on URL
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