Rational points are determined on circles and rational conics, implying a consistent relationship among them.
x2+ y2 = z2 is a primitive Pythagorean triplet of positive integers (x, y, and z) that are pairwise co-prime. In this work, rational points are calculated via projection on various circles, such as x2+ y2 = 1 and x2+ y2 = 2. We find that if we have one rational point on a rational conic, then every other rational point on the conic can be represented by a reasonable parameter
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Sarita Devi (2026) studied this question.
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