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 TOPICS This page:   constructions    Search   Dr. Math See also the Dr. Math FAQ:   impossible   constructions Internet Library:   constructions COLLEGE Algorithms Analysis Algebra    linear algebra    modern algebra Calculus Definitions Discrete Math Exponents Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean Imaginary/Complex   Numbers Logic/Set Theory Number Theory Physics Probability Statistics Trigonometry Browse College Constructions Stars indicate particularly interesting answers or good places to begin browsing. Apollonian Construction Problem [03/06/2001] Given a line and two points A and B, construct a circle tangent to the line and containing the two points. Apollonius' Problem [09/07/2000] Given three circles, is it possible to construct a circle tangent to each of them using only a compass and straightedge? Classical Geometry [04/16/2002] Let ABC be a triangle with sides a, b, c. Let h be the perpendicular from A to a, and m the median from A to the midpoint of a. Construct the triangle using only ruler and compass if you know A, h, m. Constructing a Segment of a Given Length [09/09/2005] How do you construct a segment of length "the 8th root of 3" using a compass and a straightedge? Constructing a Triangle [09/29/2003] Let x be a given angle. Let m and n be given lengths such that n > m. How can I construct triangle ABC such that AB = m, AC + CB = n, and the measure of angle ACB = x? Constructing the Trisection of an Angle [07/20/2008] Why can you construct the trisection of some angles and not of others? Drawing Regular N-gons (Compass and Straightedge) [11/17/1997] Is it true that the only regular n-gons that can be drawn using ONLY a straightedge and compass are those with the number of sides equal to a Fermat Prime or a product of Fermat Primes? Inconstructible Regular Polygon [02/22/2002] I've been trying to find a proof that a regular polygon with n sides is inconstructible if n is not a Fermat prime number. Triangle Construction [03/11/2002] Let ABC be a triangle with sides a, b, c. Let r be the radius of the incircle and R the radius of the circumcircle. Knowing a, R, and r, construct the triangle using only ruler and compass. Trisecting an Angle [11/21/1996] Is there a proof that you can't trisect an angle? Trisecting a Pizza [05/13/2002] Without the use of a ruler, protractor or other measuring device, is there a simple way to divide a pizza into 3 equal sized slices? Page:  1

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