Meanings
proper noun
- complex analysisA formula which links complex exponentiation with trigonometric functions
eⁱᶿ= cos θ+i sin θ
- differential geometryA formula which calculates the normal curvature of an arbitrary direction in the tangent plane in terms of the principal curvatures κ₁ and κ₂ and the angle θ which that direction makes with the first principal direction
κₙ(θ)=κ₁ cos ²θ+κ₂ sin ²θ
Origin
Named after Swiss mathematician Leonhard Euler (1707–1783).
Full word history & related roots →Translations
Afrikaans Euler se formule
- Euler se formuleEuler's formula
Arabic صِيغَة أُويْلِر
- صِيغَة أُويْلِر (ṣīḡat ʔoyler)Euler's formula
Bulgarian формула на Ойлер
- формула на Ойлер (formula na Ojler)Euler's formula
Catalan fórmula d'Euler
- fórmula d'EulerEuler's formula
Chinese Mandarin 歐拉公式 /欧拉公式
- 歐拉公式 /欧拉公式 (Ōulā gōngshì)Euler's formula
Czech Eulerův vzorec
- Eulerův vzorecEuler's formula
Danish Eulers formel
- Eulers formelEuler's formula
Dutch formule van Euler
- formule van EulerEuler's formula
Esperanto Eŭlera formulo
- Eŭlera formuloEuler's formula
Estonian Euleri valem
- Euleri valemEuler's formula
Finnish Eulerin lause
- Eulerin lauseEuler's formula
French formule d'Euler
- formule d'EulerEuler's formula
German eulersche Formel
- eulersche FormelEuler's formula
Hebrew נוסחת אוילר
- נוסחת אוילרEuler's formula
Hindi यूलर का सूत्र
- यूलर का सूत्र (yūlar kā sūtra)Euler's formula
Icelandic jafna Eulers
- jafna EulersEuler's formula
Indonesian rumus Euler
- rumus EulerEuler's formula
Italian formula di Eulero
- formula di EuleroEuler's formula
Japanese オイラーの公式
- オイラーの公式 (oirā no kōshiki)Euler's formula
Korean 오일러의 공식
- 오일러의 공식 (oilleoui gongsik)Euler's formula
Lithuanian Oilerio formulė
- Oilerio formulėEuler's formula
Norwegian Eulers formel
- Eulers formelEuler's formula
Persian فرمول اولر
- فرمول اولرEuler's formula
Polish wzór Eulera
- wzór EuleraEuler's formula
Portuguese fórmula de Euler
- fórmula de EulerEuler's formula
Romanian formula lui Euler
- formula lui EulerEuler's formula
Russian фо́рмула Эйлера
- фо́рмула Эйлера (fórmula Ejlera)Euler's formula
Spanish fórmula de Euler
- fórmula de EulerEuler's formula
Swedish Eulers formel
- Eulers formelEuler's formula
Thai สูตรของออยเลอร์
- สูตรของออยเลอร์ (sòot kŏng oyler)Euler's formula
Welsh fformwla Euler
- fformwla EulerEuler's formula
Cite this entry
APA
Euler's formula. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Euler's%20formula
MLA
“Euler's formula.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euler's%20formula. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Euler's formula,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Euler's%20formula.
Source: Euler's formula on Wiktionary, CC BY-SA 4.0.