[–]hans_wormhat[S]0 points
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To even put forth such an argument is to beg the question [perhaps suggests] that the circle is a polygon to begin-with.
But to discriminate the circle from the set "Reuleaux polygons" because it is equal to the circle which circumscribed the even-sided polygon whose widest points give us that curve of constant width which is our circle, is to disprove the assumption begging the question [suggested] within the presented argument.
For to say that the curve of constant width which finds all its points upon the circle that constructed it is not a Reuleux polygon is to also say that a construction of points equidistant from a centre which finds all these points along a given circle is to measure the thing against itself.
[–] hans_wormhat [S] ago (edited ago)
To even put forth such an argument
is to beg the question[perhaps suggests] that the circle is a polygon to begin-with.But to discriminate the circle from the set "Reuleaux polygons" because it is equal to the circle which circumscribed the even-sided polygon whose widest points give us that curve of constant width which is our circle, is to disprove the assumption
begging the question[suggested] within the presented argument.For to say that the curve of constant width which finds all its points upon the circle that constructed it is not a Reuleux polygon is to also say that a construction of points equidistant from a centre which finds all these points along a given circle is to measure the thing against itself.