Calculating points on the curve

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I want to get the x and y coordinates of a curve..How can i do that...

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In the above image.Is it possible to calculate the intermediate points(one side) by knowing starting and ending point

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I surely observe that the given curve on the bi-concave lens is a parabola , so take the coordinate axes ,and then fix the lens at origin ,so that the mid-point(center) of the lens coincide with the origin ,

so then eccentricity of the lens is known or can be calculated,so one can find each corresponding $y$ for each $x$,

for more details about parabola see this