Standard Lemma guide

asymptote

noun · verb · 4 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

  • Received-Pronunciation: /ˈæsɪmptəʊ̯t/
  • Received-Pronunciation: [ˈæsɪmtəʊ̯t]
  • Received-Pronunciation: /ˈæsɪmtɒt/
  • Multicultural British English Recorded audio is listed in the source snapshot.
  • Canada, General-American: /ˈæsɪmptoʊ̯t/
  • Canada, General-American: [ˈæsɪmtoʊ̯t]
  • Canada, General-American: /ˈeɪ̯sɪmtoʊ̯t/
  • North Carolina Recorded audio is listed in the source snapshot.
  • CMU ARPABET: AE1 S AH0 M T OW2 T Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.
  • CMU ARPABET 2: AE1 S IH0 M P T OW2 T Digits mark lexical stress: 1 primary, 2 secondary, 0 unstressed.

1

noun

Meaning 1

A straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity".

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

Anything which comes near to but never meets something else.

Definition source: English Wiktionary via Wiktextract

Usage: broadly, figuratively

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

verb

Meaning 3

To approach, but never quite touch, a straight line, as something goes to infinity.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

Examples

  • 2006: Neil deGrasse Tyson, The Perimeter of Ignorance As you become more scientific, yes, the religiosity drops off, but it asymptotes.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

4

noun

Meaning 4

a straight line that is the limiting value of a curve; can be considered as tangent at infinity

Definition source: Princeton WordNet 3.0

Examples

  • the asymptote of the curve

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: straight line

History

Etymology

circa 1650, from Ancient Greek ἀσύμπτωτη (asúmptōtē), the feminine of Apollonius Pergaeus' (circa 200 BC) Ancient Greek adjective ἀσύμπτωτος (asúmptōtos, “not falling together”), from ἀ- (a-, “not”) + συν- (sun-, “together”) + πτωτός (ptōtós, “fallen”). See also a-, syn-, -ote.

Across languages

Translations

34 source translations are retained for this English entry.

  • Asturian: asíntota — a straight line which a curve approaches arbitrarily closely
  • Basque: asintota — a straight line which a curve approaches arbitrarily closely
  • Bengali: অসীমতট (ośimotoṭ) — a straight line which a curve approaches arbitrarily closely
  • Catalan: asímptota — a straight line which a curve approaches arbitrarily closely
  • Czech: asymptota — a straight line which a curve approaches arbitrarily closely
  • Dutch: asymptoot — a straight line which a curve approaches arbitrarily closely
  • Finnish: asymptootti — a straight line which a curve approaches arbitrarily closely
  • French: asymptote — a straight line which a curve approaches arbitrarily closely
  • Galician: asíntota — a straight line which a curve approaches arbitrarily closely
  • German: Asymptote — a straight line which a curve approaches arbitrarily closely
  • Greek: ασύμπτωτος (asýmptotos) — a straight line which a curve approaches arbitrarily closely
  • Hebrew: אָסִימְפְּטוֹטָה (asimptotá) — a straight line which a curve approaches arbitrarily closely
  • Hindi: अनंतस्पर्शी (anantsparśī) — a straight line which a curve approaches arbitrarily closely
  • Hungarian: aszimptota — a straight line which a curve approaches arbitrarily closely
  • Icelandic: aðfella — a straight line which a curve approaches arbitrarily closely
  • Icelandic: ósnertill — a straight line which a curve approaches arbitrarily closely
  • Ido: asimptoto — a straight line which a curve approaches arbitrarily closely
  • Indonesian: asimtot — a straight line which a curve approaches arbitrarily closely
  • Italian: asintoto — a straight line which a curve approaches arbitrarily closely
  • Japanese: 漸近線 (zenkinsen) — a straight line which a curve approaches arbitrarily closely
  • Malay: asimptot — a straight line which a curve approaches arbitrarily closely
  • Māori: rārangi pātata — a straight line which a curve approaches arbitrarily closely
  • Māori: tepe whakatata — a straight line which a curve approaches arbitrarily closely
  • Polish: asymptota — a straight line which a curve approaches arbitrarily closely
  • Portuguese: assíntota — a straight line which a curve approaches arbitrarily closely
  • Portuguese: assímptota — a straight line which a curve approaches arbitrarily closely
  • Portuguese: assintota — a straight line which a curve approaches arbitrarily closely
  • Portuguese: assimptota — a straight line which a curve approaches arbitrarily closely
  • Romanian: asimptotă — a straight line which a curve approaches arbitrarily closely
  • Russian: асимпто́та (asimptóta) — a straight line which a curve approaches arbitrarily closely
  • Spanish: asíntota — a straight line which a curve approaches arbitrarily closely
  • Swedish: asymptot — a straight line which a curve approaches arbitrarily closely
  • Turkish: asimptot — a straight line which a curve approaches arbitrarily closely
  • Welsh: asymptot — a straight line which a curve approaches arbitrarily closely