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Mathematics - Geometric constructions PDF Print E-mail

Topics:

  1. Quantities
    • Copying quantities
    • Quantity-median perpendicular
    • Creating a parallel even through a given point with a compass and a ruler
    • Creating a parallel even through a given point with two rulers
    • Creating a rectangular even through a given external point with compass and ruler
    • Creating a rectangular even through a given external point with two rulers
    • Creating a rectangular even to a given point with compass and ruler
    • Creating a rectangular even to a given point with two rulers
    • Dividing a quantity into five identical parts

  2. Angles
    • Copying an angle
    • Bisecting an angle
    • Constructing 60° angle
    • Constructing 30° angle
    • Constructing 90° angle with compass and ruler
    • Constructing 90° angle with two rulers
    • Constructing 45° angle
    • Constructing 75° angle with compass and ruler

  3. Circles
    • Constructing a circle from a given centre with given radius
    • Constructing a circle from three given points of the circle line
    • Constructing a circle from two given points of the circle line and a given radius
    • Creating tangents to a given circle from given external points
    • Creating tangents to a given point of the circle line
    • Creating the circle of a given triangle

  4.  Triangles
    • Creating a triangle if the lengths of the three sides are given
    • Creating a triangle if the lengths of two sides and their angle are given
    • Creating a triangle if the lengths of two sides and the height to one of them are given
    • Creating a triangle if the length of one side and the two angles lining on it are given
    • Creating a triangle if the lengths of two sides and the angle in front of the longer side are given
    • Creating the circle of a given triangle

  5.   Quadrilaterals
    • Creating a square if the length of the side is given
    • Creating a square if the length of the diagonal is given
    • Creating a rectangle if the lengths of the sides are given

  6.  Other constructions
    • Constructing a regular hexagon if the length of the side is given
    • Axial mirroring of a geometric configuration
    • Centric mirroring of a geometric configuration
    • Displacement of a geometric graph in a given direction to a given distance
    • Constructing the sum of two vectors
    • Constructing the substraction of two vectors

 
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