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 Constructions with ruler and compass - Zef Damen A page that answers the question, What are ruler-and-compass constructions? With links to step-by-step drawings for constructions: bisecting a given angle; constructing: a line perpendicular to a given line that divides it into two equal parts; a line perpendicular to a given line passing through a given point on the line (or not on the line); the horizontal and vertical centerlines of a given circle; an equilateral triangle, given one side; an equilateral triangle inscribed in a given circle; a pentagon inscribed in a given circle; a hexagon, given one side, or inscribed in a given circle; a heptagon. more>> Geometric Construction with the Compass Alone - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny Information and exercises about geometric constructions: almost everything you can do with a ruler and a compass you can do with the compass alone. more>> Geometry Construction Reference - Paul Kunkel The basics of compass and straightedge construction, with notes about The Instruments and What is a construction? Construct the perpendicular bisector or the midpoint of a line segment; given a point on a line, construct a perpendicular line through the given point; given a point not on a line, construct a perpendicular line through the given point; construct the bisector of an angle; an angle congruent to a given angle; a line through a given point, parallel to a given line; an equilateral triangle or a 60-degree angle; divide a line segment into n congruent line segments; construct a line through a given point tangent to a given circle; construct the center point of a given circle; a circle through three given points; circumscribe a circle about a given triangle; inscribe a circle in a given triangle. more>> Impossible Constructions - Math Forum, Ask Dr. Math FAQ Problems from antiquity: trisecting an angle, squaring the circle, duplicating (or doubling) the cube. more>> The Many Ways to Construct a Triangle - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny In general, a triangle is defined by its three elements. SAS, ASA, and SSS provide three well-known examples but there are many more. Bogomolny provides a table of constructions (linked to constructions) and invites reader contributions. more>>
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