Titlebook: Geometric Constructions; George E. Martin Textbook 1998 Springer Science+Business Media New York 1998 Mathematica.Scratch.algebra.boundary

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The Compass and the Mohr-Mascheroni Theorem,ginal with Napoleon, the problem has become known as .. During his campaign in northern Italy, Napoleon had encountered the poet and geometer Lorenzo Mascheroni (1750-1800). Mascheroni was a professor at the University of Pavia, where Christopher Columbus had once been a student. Mascheroni’s most f

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The Ruler,e ruler and the compass are such basic tools that most of us accept them without ever having considered the implication of life without them. Suppose you are faced with the problem of coming to an examination on geometric constructions only to find that in making sure that you have not forgotten you

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Sticks,order to do the modeling, we must first have some familiarity with what it is we are to model. Therefore, we should first play around with stacks of toothpicks just to see what we can do with them. Paper and pencil is just not satisfactory; straws or even long, thin strips of paper will serve the pu

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Paperfolding,it is evident that all ruler and compass constructions are possible by paperfolding. However, Sundara Row’s angle trisection is admittedly only an approximation and he mistakenly implies that constructing a cube root is impossible in general and, in particular, that the duplication of the cube canno