isometry

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Etymology

From nl. isometria, from Ancient Greek ἰσομετρία, from ἰσο- + -μετρία, from ἴσος ("equal") and μέτρον ("measurement") + -ια ("-y").

Noun

isometry (plural isometries)

1. (mathematics) A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.

   Isometry is to metric spaces what isomorphism is to groups.

Related terms

• isometric
• isometer
• isometrograph

Translations

• French: isométrie
• German: Isometrie
• Italian: isometria
• Portuguese: isometria
• Spanish: isometría

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