What does euclid's axiom mean?
Definitions for euclid's axiom
eu·clid's ax·iom
This dictionary definitions page includes all the possible meanings, example usage and translations of the word euclid's axiom.
Princeton's WordNet
Euclid's axiom, Euclid's postulate, Euclidean axiomnoun
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
ChatGPT
euclid's axiom
Euclid's axioms, also known as postulates, are a set of five fundamental principles proposed by the ancient Greek mathematician Euclid, which form the foundation for Euclidean geometry. These axioms include general statements about points, lines, and angles, such as: 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center. 4. All right angles are congruent. 5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. These portrayed the basic properties of geometric figures and space. The fifth axiom, known as the "parallel postulate" has been the subject of debate and exploration among mathematicians due to its more complex nature compared to others.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of euclid's axiom in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of euclid's axiom in Pythagorean Numerology is: 9
Translation
Find a translation for the euclid's axiom definition in other languages:
Select another language:
- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Citation
Use the citation below to add this definition to your bibliography:
Style:MLAChicagoAPA
"euclid's axiom." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/euclid%27s+axiom>.
Discuss these euclid's axiom definitions with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In