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Mathematical instrument. Animation of construction of a pentagon using a compass and straightedge. A mathematical instrument is a tool or device used in the study or practice of mathematics. In geometry, construction of various proofs was done using only a compass and straightedge; arguments in these proofs relied only on idealized properties ...
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. 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 ...
Time. Watch, a time measurement device. In the past, a common time measuring instrument was the sundial. Today, the usual measuring instruments for time are clocks and watches. For highly accurate measurement of time an atomic clock is used. Stopwatches are also used to measure time in some sports.
Ruler. A variety of rulers. A 2 m (6 ft 63⁄4 in) carpenter's rule. Retractable flexible rule or tape measure. A closeup of a steel ruler. A ruler in combination with a letter scale. A ruler, sometimes called a rule, a stick, a line gauge, is an instrument used to make length measurements, whereby a length is read from a series of markings ...
The use of the vernier scale is shown on a vernier caliper which measures the internal and the external diameters of an object. The vernier scale is constructed so that it is spaced at a constant fraction of the fixed main scale. So for a vernier with a constant of 0.1, each mark on the vernier is spaced 9/10 of those on the main scale.
Measure (mathematics) Informally, a measure has the property of being monotone in the sense that if is a subset of the measure of is less than or equal to the measure of Furthermore, the measure of the empty set is required to be 0. A simple example is a volume (how big an object occupies a space) as a measure.