Geodesic: meaning, definitions and examples
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geodesic
[ˌdʒiːəˈdɛsɪk ]
Definitions
mathematics, geometry
A geodesic is the shortest path between two points on a curved surface. In mathematics and geometry, it is commonly associated with concepts in differential geometry. Geodesics can be found on surfaces like spheres and are essential in the study of the geometry of space. The most familiar geodesics are the great circles of a sphere, such as the shortest distance between two points on the Earth.
Synonyms
great circle, minimal surface, shortest path.
Examples of usage
- The geodesic on the sphere is a great circle.
- Pilots often plan their flight routes along geodesics to save fuel.
- In general relativity, particles travel along geodesic paths in spacetime.
geometry, navigation
Geodesic can also describe a path or figure that represents the shortest distance on a curved surface. In the context of navigation and mapping, the term is used to denote routes that minimize travel distance or time. This concept is crucial for designing efficient transportation routes in engineering, astronomy, and geography.
Synonyms
Examples of usage
- The geodesic distance between the two cities was calculated.
- They used geodesic curves to model the terrain in their simulation.
- The architect designed the building using geodesic principles for stability.
Interesting Facts
Etymology
- The word comes from Greek, combining 'geo' for Earth and 'desic,' meaning 'to divide.'
- It was introduced in mathematical contexts in the 19th century when studying curved surfaces.
Architecture
- Geodesic domes were popularized by architect Buckminster Fuller in the mid-20th century for their efficient use of materials.
- These structures are known for their strength and ability to withstand extreme weather due to their spherical shape.
Mathematics
- In geometry, geodesics represent the shortest distances on curved surfaces, such as on spheres.
- They can be visualized as segments of great circles on a globe.
Science
- In physics, geodesic lines are crucial in understanding how objects move under gravity, such as in general relativity.
- Researchers study geodesics to analyze optimal paths in various fields, including meteorology and transport.
Art & Design
- Geodesic patterns have influenced various art movements, showcasing strength and aesthetic simplicity.
- Artists and designers incorporate geodesic shapes into modern installations to create dynamic visual experiences.
Translations
Translations of the word "geodesic" in other languages:
🇵🇹 geodésica
🇮🇳 ज्यामितीय
🇩🇪 geodätisch
🇮🇩 geodesik
🇺🇦 геодезичний
🇵🇱 geodezyjny
🇯🇵 測地的
🇫🇷 géodésique
🇪🇸 geodésico
🇹🇷 jeodezik
🇰🇷 지오데식
🇸🇦 جيوي
🇨🇿 geodetický
🇸🇰 geodetický
🇨🇳 大地测量的
🇸🇮 geodetski
🇮🇸 jarðfræði
🇰🇿 геодезиялық
🇬🇪 გეოდეზიური
🇦🇿 geodezik
🇲🇽 geodésico