Geodesic - Wikipedia
网页In geometry, a geodesic (/ ˌ dʒ iː. ə ˈ d ɛ s ɪ k,-oʊ-,-ˈ d iː s ɪ k,-z ɪ k /) [1] [2] is a curve representing in some sense the shortest [a] path between two points in a surface, or more generally in a Riemannian manifold.
Geodesic -- from Wolfram MathWorld
网页2024年8月22日 · A geodesic is a locally length-minimizing curve. Equivalently, it is a path that a particle which is not accelerating would follow. In the plane, the geodesics are straight lines. On the sphere, the geodesics are great circles (like the equator).
Geodesic Definition & Meaning - Merriam-Webster
网页noun. : the shortest line between two points that lies in a given surface. Examples of geodesic in a Sentence. Recent Examples on the Web. Adjective. Dyson’s new Chitosan cream and serum, which launch this month, coat individual strands of hair with a micro-structure inspired by the triangles of a geodesic dome.
5.8: The Geodesic Equation - Physics LibreTexts
网页A geodesic can be defined as a world-line that preserves tangency under parallel transport, Figure \(\PageIndex{1}\). This is essentially a mathematical way of expressing the notion that we have previously expressed more informally in terms of “staying on course” or moving “inertially.”
Geodesic Definition (Illustrated Mathematics Dictionary) - Math is …
网页Illustrated definition of Geodesic: The shortest line segment between two points on a sphere or other curved surface. A Geodesic Dome is made with...
Geodesics in general relativity - Wikipedia
网页In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from all external, non-gravitational forces is a particular type of geodesic.
Geodesic | mathematics | Britannica
网页A geodesic, the shortest distance between any two points on a sphere, is an arc of the great circle through the two points. The formula for determining a sphere’s surface area is 4π r 2 ; its volume is determined by ( 4 / 3 )π r 3 .
Geodesic line - Encyclopedia of Mathematics
网页2012年3月5日 · The notion of a geodesic line (also: geodesic) is a geometric concept which is a generalization of the concept of a straight line (or a segment of a straight line) in Euclidean geometry to spaces of a more general type.
Which is the "proper" definition of a geodesic curve?
网页The geodesic is the path which takes the longest as measured by a clock passing along it. For Special Relativity, this is a straight line and a constant speed, i.e. inertial motion, and any clock going by any other path will measure less time.
网页In this article, we’ll look at the mathematics that lies behind geodesic domes, but we’ll also talk a little about why they make good engineering sense and how they might be constructed from real materials.