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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.
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.
Napoleon's problem is a compass construction problem. In it, a circle and its center are given. The challenge is to divide the circle into four equal arcs using only a compass. [1] [2] Napoleon was known to be an amateur mathematician, but it is not known
Use a geometry compass from elementary school to college and all the way to the drafting table.
A geometry template is a piece of clear plastic with cut-out shapes and/or curves for use mainly by primary and secondary school students. Such templates often also include length and angle measurements. In Australia, where geometry templates are common school equipment, known brands include Mathomat and MathAid.
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.
In hyperbolic geometry, one can use the standard ruler and compass that is often used in Euclidean plane geometry. However, there are a variety of compasses and rulers developed for hyperbolic constructions. A hypercompass can be used to construct a hypercycle given the central line and radius. [3]
The Mathomat stencil has a large number of geometric shapes stencils combined with the functions of a technical drawing set (rulers, set squares, protractor and circles stencils to replace a compass). The template made use polycarbonate – a new type of thermoplastic polymer when Mathomat first came out – which was strong and transparent ...