generatrix

English

Etymology

Learned borrowing from Latin generātrīx. By surface analysis, generator +‎ -trix.

Pronunciation

• Audio (US):

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Noun

generatrix (plural generatrices or generatrixes)

1. (geometry) A curve that, when rotated about an axis, produces a solid figure.

   Synonyms: describent, generant

Translations

a curve that, when rotated about an axis, produces a solid figure

• Catalan: generatriu f
• Chinese:

  Mandarin: 母線 / 母线 (zh) (mǔxiàn)

• Esperanto: naskanto
• French: génératrice (fr) f
• German: Erzeugende f, Mantellinie f
• Hungarian: alkotó (hu)
• Italian: generatrice (it) f
• Portuguese: geratriz (pt) f, generatriz f
• Russian: образу́ющая (ru) f (obrazújuščaja)
• Spanish: generatriz (es) f
• Vietnamese: đường sinh (vi)

References

• “generatrix, n.”, in OED Online ⁠, Oxford: Oxford University Press, launched 2000.

Latin

Etymology

Etymology tree

Proto-Indo-European *ǵenh₁-

Proto-Indo-European *-os

Proto-Indo-European *ǵénh₁os

Proto-Italic *genos

Latin genus

Proto-Indo-European *-h₂

Proto-Indo-European *-éh₂

Proto-Indo-European *-yéti

Proto-Indo-European *-eh₂yéti

Proto-Indo-European *-h₂tiinflu.

Proto-Italic *-ājō

Proto-Italic *-āō

Latin -ō

Latin generō, generātum

Proto-Indo-European *-tḗr

Proto-Indo-European *-is

Proto-Indo-European *-h₂

Proto-Indo-European *-ih₂

Proto-Indo-European *-trih₂

Proto-Italic *-trīks

Latin -trīx f

Latin generātrīx

From generō, generātum (“bring to life, beget, generate, produce”, verb) + -trīx f (“-ess”, agentive suffix).

Pronunciation

• (Classical Latin) IPA^(key): [ɡɛ.nɛˈraː.triːks]
• (modern Italianate Ecclesiastical) IPA^(key): [d͡ʒe.neˈraː.triks]

Noun

generātrīx f (genitive generātrīcis, masculine generātor); third declension

1. female equivalent of generātor: producer, generator; she who produces, generates, brings forth
2. (geometry) generatrix (feminine since it is a type of līnea f (“line”))

Declension

Third-declension noun.

	singular	plural
nominative	generātrīx	generātrīcēs
genitive	generātrīcis	generātrīcum
dative	generātrīcī	generātrīcibus
accusative	generātrīcem	generātrīcēs
ablative	generātrīce	generātrīcibus
vocative	generātrīx	generātrīcēs

References

• “generatrix”, in Charlton T. Lewis and Charles Short (1879), A Latin Dictionary, Oxford: Clarendon Press
• generatrix in Georges, Karl Ernst; Georges, Heinrich (1913–1918), Ausführliches lateinisch-deutsches Handwörterbuch, 8th edition, volume 1, Hahnsche Buchhandlung
• “generatrix”, in Gaffiot, Félix (1934), Dictionnaire illustré latin-français, Hachette.