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He gives the first a wrong date: he assures the world that there is no question about Scaliger's quadrature being wrong, in the eyes of geometers at least: and he states that Clavius mortified him {112} extremely by showing that it made the circle less than its inscribed dodecagon, which is, of course, equivalent to asserting that a straight line is not always the shortest distance between two points.— A Budget of Paradoxes, Volume I (of II)
He says in so many words that the periphery of the dodecagon is greater than that of the circle; and that the more sides there are to the inscribed figure, the more does it exceed the circle in which it is.— A Budget of Paradoxes, Volume I (of II)
5. A dodecagon, as most nearly approaching the circle Pl. LXXXVI, No.— The Notebooks of Leonardo Da Vinci — Complete
[210] "The perimeter of the dodecagon to be inscribed in a circle is greater than the perimeter of the circle.— A Budget of Paradoxes, Volume I (of II)
A dodecagon, as most nearly approaching the circle.— The Notebooks of Leonardo Da Vinci — Complete
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