Abstract
On the circumference of the circle of radius 5, there are 12 points whose co-ordinates are integers. These are the 4 points at which the circle is intersected by the co-ordinate axes (±5,0) and (0, ±5) and the 8 angular vertices of the right-angled triangles whose non-hypotenuse sides are 3 and 4, i.e. points (±4, ±3) and (±3, ±4). This is illustrated in the left-hand diagram, which shows the first quadrant of the circle:
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© 2001 Springer-Verlag Berlin Heidelberg
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Arndt, J., Haenel, C. (2001). Historical Notes. In: Pi — Unleashed. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56735-3_14
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DOI: https://doi.org/10.1007/978-3-642-56735-3_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66572-4
Online ISBN: 978-3-642-56735-3
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