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  2. Pantograph - Wikipedia

    en.wikipedia.org/wiki/Pantograph

    Drafting pantograph in use Pantograph used for scaling a picture. The red shape is traced and enlarged. Pantograph 3d rendering. A pantograph (from Greek παντ- 'all, every' and γραφ- 'to write', from their original use for copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical ...

  3. Technical drawing tool - Wikipedia

    en.wikipedia.org/wiki/Technical_drawing_tool

    Drafting tools may be used for measurement and layout of drawings, or to improve the consistency and speed of creation of standard drawing elements. Tools such as pens and pencils mark the drawing medium. Other tools such as straight edges, assist the operator in drawing straight lines, or assist the operator in drawing complicated shapes ...

  4. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    The base pairs form a parallelogram with half the area of the quadrilateral, A q, as the sum of the areas of the four large triangles, A l is 2 A q (each of the two pairs reconstructs the quadrilateral) while that of the small triangles, A s is a quarter of A l (half linear dimensions yields quarter area), and the area of the parallelogram is A ...

  5. Polygraph (duplicating device) - Wikipedia

    en.wikipedia.org/wiki/Polygraph_(duplicating_device)

    A simple pantograph is used to translate the planar motion of one pen to the other. The pantograph consists of two complete variable parallelograms ("d" and "e" on diagram): Base parallelogram: The base parallelogram is attached to two fixed pivot points at the far side of the base plate.

  6. Planimeter - Wikipedia

    en.wikipedia.org/wiki/Planimeter

    This area is also equal to the area of the parallelogram A"ABB". The measuring wheel measures the distance PQ (perpendicular to EM). Moving from C to D the arm EM moves through the green parallelogram, with area equal to the area of the rectangle D"DCC". The measuring wheel now moves in the opposite direction, subtracting this reading from the ...

  7. Drafting machine - Wikipedia

    en.wikipedia.org/wiki/Drafting_machine

    A drafting machine is a tool used in technical drawing, consisting of a pair of scales mounted to form a right angle on an articulated protractor head that allows an angular rotation. [ 1 ] [ 2 ] The protractor head (two scales and protractor mechanism) is able to move freely across the surface of the drawing board , sliding on two guides ...

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  9. Hooper's paradox - Wikipedia

    en.wikipedia.org/wiki/Hooper's_paradox

    The length of the shorter side at the right angle measures 2 units in the original shape but only 1.8 units in the rectangle. This means, the real triangles of the original shape overlap in the rectangle. The overlapping area is a parallelogram, the diagonals and sides of which can be computed via the Pythagorean theorem.