Measure, Sophistry, Geometry

Protagoras' saying, "Man is the measure of all things", is, strongly influenced by Plato's treatment of it as 'Sophistry', usually interpreted as a formulation of Individual Moral Relativism, even if the surviving textual evidence is less than conclusive in that regard.  Regardless, some of that evidence suggests its relevance in other respects.  For example, in conjunction with his dismissal of Geometry as non-Empirical, i. e. because the elements of Geometry, points, lines, regular figures, etc. are not found in nature, the thesis anticipates the Kantian principle that Geometry is a product of Human cognitive structures.  Accordingly, it coincides with the shift in emphasis in the study of Geometry signified by Eudoxus, as has been previously discussed--to measurability, a plainly Human activity.  So, at least some of what Plato dismisses as Sophistry is consistent with Rationalism that both precedes and succeeds his.