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  2. Straightedge and compass construction - Wikipedia

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

    Examples of compass-only constructions include Napoleon's problem. It is impossible to take a square root with just a ruler, so some things that cannot be constructed with a ruler can be constructed with a compass; but (by the Poncelet–Steiner theorem) given a single circle and its center, they can be constructed.

  3. Constructible number - Wikipedia

    en.wikipedia.org/wiki/Constructible_number

    The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length | | can be constructed with compass and straightedge in a finite number of steps.

  4. Constructible polygon - Wikipedia

    en.wikipedia.org/wiki/Constructible_polygon

    The concept of constructibility as discussed in this article applies specifically to compass and straightedge constructions. More constructions become possible if other tools are allowed. The so-called neusis constructions, for example, make use of a marked ruler. The constructions are a mathematical idealization and are assumed to be done exactly.

  5. Category:Compass and straightedge constructions - Wikipedia

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

    Download as PDF; Printable version; ... Pages in category "Compass and straightedge constructions" ... This page was last edited on 1 April 2018, ...

  6. Geometric drawing - Wikipedia

    en.wikipedia.org/wiki/Geometric_drawing

    Geometric drawing made with ruler and compass. Geometric drawing consists of a set of processes for constructing geometric shapes and solving problems with the use of a ruler without graduation and the compass (drawing tool). [1] [2] Modernly, such studies can be done with the aid of software, which simulates the strokes performed by these ...

  7. Geometric Constructions - Wikipedia

    en.wikipedia.org/wiki/Geometric_Constructions

    The final three chapters go beyond the straightedge and compass to other construction tools. A highly restricted form of construction, the "match-stick geometry" of Thomas Rayner Dawson from the 1930s, uses only unit line segments, which can be placed along each other, intersected, or pivoted around one of their endpoints; despite its limited ...

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  9. Mohr–Mascheroni theorem - Wikipedia

    en.wikipedia.org/wiki/Mohr–Mascheroni_theorem

    To prove the above constructions #3 and #4, which are included below, a few necessary intermediary constructions are also explained below since they are used and referenced frequently. These are also compass-only constructions. All constructions below rely on #1,#2,#5, and any other construction that is listed prior to it.