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  2. Compass (drawing tool) - Wikipedia

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

    A beam compass and a regular compass Using a compass A compass with an extension accessory for larger circles A bow compass capable of drawing the smallest possible circles. A compass, also commonly known as a pair of compasses, is a technical drawing instrument that can be used for inscribing circles or arcs.

  3. Straightedge and compass construction - Wikipedia

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

    The compass may or may not collapse (i.e. fold after being taken off the page, erasing its 'stored' radius). Lines and circles constructed have infinite precision and zero width. Actual compasses do not collapse and modern geometric constructions often use this feature. A 'collapsing compass' would appear to be a less powerful instrument.

  4. Compass equivalence theorem - Wikipedia

    en.wikipedia.org/wiki/Compass_equivalence_theorem

    In geometry, the compass equivalence theorem is an important statement in compass and straightedge constructions. The tool advocated by Plato in these constructions is a divider or collapsing compass , that is, a compass that "collapses" whenever it is lifted from a page, so that it may not be directly used to transfer distances.

  5. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    In modern mathematics, they are generally defined as elements of a set called space, which is itself axiomatically defined. With these modern definitions, every geometric shape is defined as a set of points; this is not the case in synthetic geometry, where a line is another fundamental object that is not viewed as the set of the points through ...

  6. Points of the compass - Wikipedia

    en.wikipedia.org/wiki/Points_of_the_compass

    32-point compass rose. The points of the compass are a set of horizontal, radially arrayed compass directions (or azimuths) used in navigation and cartography.A compass rose is primarily composed of four cardinal directions—north, east, south, and west—each separated by 90 degrees, and secondarily divided by four ordinal (intercardinal) directions—northeast, southeast, southwest, and ...

  7. Compass - Wikipedia

    en.wikipedia.org/wiki/Compass

    A modern military compass, with included sight device for aligning. A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or other element, such as a compass card or compass rose, which can pivot to align itself with magnetic north.

  8. The Ancient Tradition of Geometric Problems - Wikipedia

    en.wikipedia.org/wiki/The_Ancient_Tradition_of...

    The Ancient Tradition of Geometric Problems studies the three classical problems of circle-squaring, cube-doubling, and angle trisection throughout the history of Greek mathematics, [1] [2] also considering several other problems studied by the Greeks in which a geometric object with certain properties is to be constructed, in many cases through transformations to other construction problems. [2]

  9. History of the compass - Wikipedia

    en.wikipedia.org/wiki/History_of_the_compass

    A bearing compass is a magnetic compass mounted in such a way that it allows the taking of bearings of objects by aligning them with the lubber line of the bearing compass. [79] A surveyor's compass is a specialized compass made to accurately measure heading of landmarks and measure horizontal angles to help with map making .