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  2. Compass (drawing tool) - Wikipedia

    en.wikipedia.org/wiki/Compass_(drawing_tool)

    A compass, also commonly known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs. As dividers, it can also be used as a tool to mark out distances, in particular, on maps. Compasses can be used for mathematics, drafting, navigation and other purposes. Prior to computerization, compasses ...

  3. Straightedge and compass construction - Wikipedia

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

    It can only be used to draw a line segment between two points, or to extend an existing line segment. The compass can have an arbitrarily large radius with no markings on it (unlike certain real-world compasses). Circles and circular arcs can be drawn starting from two given points: the centre and a point on the circle. The compass may or may ...

  4. Beam compass - Wikipedia

    en.wikipedia.org/wiki/Beam_compass

    sharp point used to score a fine line in the birch plywood connected to each other by a piece of 3/4" × 3/8" mahogany. The beam compass is used to scribe a circle, either by drawing with lead, penning by ink, or scratching with a sharpened point. The radius can be adjusted by sliding the metal point holder across a wood beam or metal rod, and ...

  5. Technical drawing tool - Wikipedia

    en.wikipedia.org/wiki/Technical_drawing_tool

    Compasses are used for drawing circles or arc segments of circles. One form has two straight legs joined by a hinge; one leg has a sharp pivot point and the other has a holder for a technical pen or pencil. Another form, the beam compass, has the pivot point and pen holder joined by a trammel bar, useful when drawing very large radius arcs ...

  6. Mohr–Mascheroni theorem - Wikipedia

    en.wikipedia.org/wiki/Mohr–Mascheroni_theorem

    Known as the cyclos, the device draws circles similarly to the compass, but does so not by defining a radius or providing a center, but by two points defining a diameter, or by three non-collinear points defining the arc. In either case, a single application of the tool is used, by definition, to draw a complete circle.

  7. Compass equivalence theorem - Wikipedia

    en.wikipedia.org/wiki/Compass_equivalence_theorem

    It is possible to prove compass equivalence without the use of the straightedge. This justifies the use of "fixed compass" moves (constructing a circle of a given radius at a different location) in proofs of the Mohr–Mascheroni theorem, which states that any construction possible with straightedge and compass can be accomplished with compass alone.

  8. Napoleon's problem - Wikipedia

    en.wikipedia.org/wiki/Napoleon's_problem

    Now draw an arc centred on V which goes through Y and an arc centred on Z which goes through X; call where these two arcs intersect T. Note that the distances VY and XZ are times the radius of the circle C. Put the compass radius equal to the distance OT (times the radius of the circle C) and draw an arc centred on Z which intersects the circle ...

  9. Bisection - Wikipedia

    en.wikipedia.org/wiki/Bisection

    To bisect an angle with straightedge and compass, one draws a circle whose center is the vertex. The circle meets the angle at two points: one on each leg. Using each of these points as a center, draw two circles of the same size. The intersection of the circles (two points) determines a line that is the angle bisector.

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