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  2. Straightedge and compass construction - Wikipedia

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

    Using a markable ruler, regular polygons with solid constructions, like the heptagon, are constructible; and John H. Conway and Richard K. Guy give constructions for several of them. [20] The neusis construction is more powerful than a conic drawing tool, as one can construct complex numbers that do not have solid constructions.

  3. Geometric Constructions - Wikipedia

    en.wikipedia.org/wiki/Geometric_Constructions

    Martin originally intended his book to be a graduate-level textbook for students planning to become mathematics teachers. [2] However, as well as this use, it can also be read by anyone who is interested in the history of geometry and has an undergraduate-level background in abstract algebra, or used as a reference work on the topic of geometric constructions.

  4. Constructible polygon - Wikipedia

    en.wikipedia.org/wiki/Constructible_polygon

    Construction of a regular pentagon. 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.

  5. List of interactive geometry software - Wikipedia

    en.wikipedia.org/wiki/List_of_interactive...

    Interactive geometry software (IGS) or dynamic geometry environments (DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry. In most IGS, one starts construction by putting a few points and using them to define new objects such as lines , circles or other points.

  6. Constructible number - Wikipedia

    en.wikipedia.org/wiki/Constructible_number

    The latter two can be done with a construction based on the intercept theorem. A slightly less elementary construction using these tools is based on the geometric mean theorem and will construct a segment of length from a constructed segment of length . It follows that every algebraically constructible number is geometrically constructible, by ...

  7. Neusis construction - Wikipedia

    en.wikipedia.org/wiki/Neusis_construction

    Neusis construction. In geometry, the neusis (νεῦσις; from Ancient Greek νεύειν (neuein) 'incline towards'; plural: νεύσεις, neuseis) is a geometric construction method that was used in antiquity by Greek mathematicians.

  8. Constructions in hyperbolic geometry - Wikipedia

    en.wikipedia.org/wiki/Constructions_in...

    When doing constructions in hyperbolic geometry, as long as you are using the proper ruler for the construction, the three compasses (meaning the horocompass, hypercompass, and the standard compass) can all perform the same constructions. [3] A parallel ruler can be used to draw a line through a given point A and parallel to a given ray a [3].

  9. Mohr–Mascheroni theorem - Wikipedia

    en.wikipedia.org/wiki/Mohr–Mascheroni_theorem

    In mathematics, the Mohr–Mascheroni theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone. It must be understood that "any geometric construction" refers to figures that contain no straight lines, as it is clearly impossible to draw a straight line without a ...

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