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. ❋ Augustus De Morgan (1838)
The grid units and pixel primitives are of course different in the dodecagon scheme, but the code is otherwise almost identical to that used in the Demonstration and no additional steps are necessary. ❋ Unknown (2008)
For an image x pixels wide and y pixels tall, there will be xy dodecagons and 2 (x – 1) (y – 1) triangles; the ratio of triangle area to dodecagon area for an a x a image reduces to ❋ Unknown (2008)
Among the other notable churches of Orvieto are San Giovenale, which contains remnants of ancient frescoes, and San Andrea, which has a dodecagon tower; in 1220 Pierre d'Artois was consecrated King of Jerusalem by ❋ 1840-1916 (1913)
You are acquainted, of course, with the modern rule of giving the bastions a salient angle of fifteen degrees in excess of half the angle of the figure in all figures from the square up to the dodecagon? ❋ Arthur Thomas Quiller-Couch (1903)
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. ❋ Augustus De Morgan (1838)
You may do this: you may put the word _hexagon_ or _dodecagon_, or any other word describing a polygon in the place of _Circle_ in your proof, and the proof would be just as good as before. ❋ Augustus De Morgan (1838)
A dodecagon, as most nearly approaching the circle. ❋ 1452-1519 Leonardo Da Vinci (1485)
They fometimes formed either the half of an odtogon, or the half of a dodecagon. ❋ Unknown (1770)
It’d be one thing if we knew there would be master cake-cutters present, people who have honed their craft, who have learned at the feet of their fathers and mothers, people who can turn each slice into a work of art, who can make precise 90 degree angles or take requests and make a dodecagon shaped slice. ❋ Unknown (2004)
[210] "The perimeter of the dodecagon to be inscribed in a circle is greater than the perimeter of the circle. ❋ Augustus De Morgan (1838)
