isometry

English

Etymology

From New Latin isometria, from Ancient Greek ἰσομετρία (isometría), from ἰσο- (iso-) + -μετρία (-metría), from ἴσος (ísos, “equal”) and μέτρον (métron, “measurement”) + -ια (-ia, “-y”). Equivalent to iso- +‎ -metry.

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.

Derived terms

• quasiisometry

Related terms

• isometric
• isometer
• isometrograph

Translations

A function

• Dutch: isometrie (nl)
• Finnish: isometria (fi)
• French: isométrie (fr) f
• German: Isometrie f
• Hebrew: איזומטריה f (izométria)
• Hungarian: egybevágósági transzformáció (hu)
• Italian: isometria (it) f
• Latin: isometria f
• Portuguese: isometria f
• Spanish: isometría (es) f
• Swedish: isometri (sv) c

Anagrams

• merosity