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2. Straightedge and compass construction - Wikipedia

   en.wikipedia.org/wiki/Straightedge_and_compass...

   The "straightedge" and "compass" of straightedge-and-compass constructions are idealized versions of real-world rulers and compasses. The straightedge is an infinitely long edge with no markings on it. It can only be used to draw a line segment between two points, or to extend an existing line segment.

3. Angle trisection - Wikipedia

   en.wikipedia.org/wiki/Angle_trisection

   Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass.

4. Constructible polygon - Wikipedia

   en.wikipedia.org/wiki/Constructible_polygon

   In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge while a regular heptagon is not. There are infinitely many constructible polygons, but only 31 with an odd number of sides are known.

5. Category:Compass and straightedge constructions - Wikipedia

   en.wikipedia.org/wiki/Category:Compass_and...

   Pages in category "Compass and straightedge constructions" The following 10 pages are in this category, out of 10 total. This list may not reflect recent changes. ...

6. Straightedge - Wikipedia

   en.wikipedia.org/wiki/Straightedge

   An idealized straightedge is used in compass-and-straightedge constructions in plane geometry. It may be used: Given two points, to draw the line connecting them; Given a point and a circle, to draw either tangent; Given two circles, to draw any of their common tangents; Or any of the other numerous geometric constructions; The idealized ...

7. Squaring the circle - Wikipedia

   en.wikipedia.org/wiki/Squaring_the_circle

   It is the challenge of constructing a square with the area of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of lines and circles implied the existence of such a square.