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  2. Straightedge and compass construction - Wikipedia

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

    In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

  3. Geometric Constructions - Wikipedia

    en.wikipedia.org/wiki/Geometric_Constructions

    Geometric Constructions is a mathematics textbook on constructible numbers, and more generally on using abstract algebra to model the sets of points that can be created through certain types of geometric construction, and using Galois theory to prove limits on the constructions that can be performed.

  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. Geometric Origami - Wikipedia

    en.wikipedia.org/wiki/Geometric_Origami

    Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.

  6. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    The construction begins with drawing a circle passing through the vertex P of the angle to be trisected, centered at A on an edge of this angle, and having B as its second intersection with the edge. A circle centered at P and of the same radius intersects the line supporting the edge in A and O .

  7. 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.

  8. Mathematics of paper folding - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_paper_folding

    In 1949, R C Yeates' book "Geometric Methods" described three allowed constructions corresponding to the first, second, and fifth of the Huzita–Hatori axioms. [6] [7] The Yoshizawa–Randlett system of instruction by diagram was introduced in 1961. [8] Crease pattern for a Miura fold. The parallelograms of this example have 84° and 96° angles.

  9. Geometrography - Wikipedia

    en.wikipedia.org/wiki/Geometrography

    Cover of Lemoine's "Géométrographie" In the mathematical field of geometry, geometrography is the study of geometrical constructions. [1] The concepts and methods of geometrography were first expounded by Émile Lemoine (1840–1912), a French civil engineer and a mathematician, in a meeting of the French Association for the Advancement of the Sciences held at Oran in 1888.

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