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dc.contributor.authorGrötschel, Martin
dc.contributor.authorHanche-Olsen, Harald
dc.contributor.authorHolden, Helge
dc.contributor.authorKrystek, Michael P.
dc.date.accessioned2022-11-24T10:30:19Z
dc.date.available2022-11-24T10:30:19Z
dc.date.created2022-09-01T17:34:13Z
dc.date.issued2022
dc.identifier.citationMeasurement Science Review. 2022, 22 (4), 152-159.en_US
dc.identifier.issn1335-8871
dc.identifier.urihttps://hdl.handle.net/11250/3033842
dc.description.abstractWe address the issue of angular measure, which is a contested issue for the International System of Units (SI).We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional way ofmeasuring a plane angle subtended by a circular arc as the length of the arc divided by the radius of the arc, a scalar quantity.We distinguish between theangular magnitude, defined in terms of congruence classes of angles, and the (numerical)angularmeasurethat can be assigned to each congruence class in such a way that, e.g., the right angle has the numerical valueπ2.We argue that angles are intrinsically different from lengths, as there are angles of special significance (such as the rightangle, or the straight angle), while there is no distinguished length in Euclidean geometry. This is further underlined by theobservation that, while units such as the metre and kilogram have been refined over time due to advances in metrology, nosuch refinement of the radian is conceivable. It is a mathematically defined unit, set in stone for eternity. We conclude thatangular measures are numbers, and the current definition in SI should remain unaltered.en_US
dc.language.isoengen_US
dc.publisherDe Gruyteren_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no*
dc.titleOn angular measures in axiomatic Euclidean planar geometryen_US
dc.title.alternativeOn angular measures in axiomatic Euclidean planar geometryen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.subject.nsiVDP::Anvendt matematikk: 413en_US
dc.subject.nsiVDP::Applied mathematics: 413en_US
dc.source.pagenumber152-159en_US
dc.source.volume22en_US
dc.source.journalMeasurement Science Reviewen_US
dc.source.issue4en_US
dc.identifier.doi10.2478/msr-2022-0019
dc.identifier.cristin2048054
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
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