2025年1月31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).

The meaning of GEODESIC is geodetic. How to use geodesic in a sentence.

A geodesic is a generalization of the notion of a “straight line” from a plane to a surface, on which it represents in some sense the shortest path between two points. We will begin with a definition of geodesics, then present various method for finding geodesics on surfaces, and later reveal their relationships to shortest paths.

Illustrated definition of Geodesic: The shortest line segment between two points on a sphere or other curved surface. A Geodesic Dome is made with...

In hyperbolic geometry, lengths and distances are changed from their Euclidean counterparts. This then afects the notion of straight line (geodesic). At the root of those changes lies the length element y−1pdx2 + dy2. What happens if instead of y−1, one takes a general (positive) function of (x, y)? This gives a lot of diferent “curved geometries”.

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 meaning: 1. relating to the shortest possible line between two points on a sphere or other curved surface 2…. Learn more.

GEODESIC definition: 1. relating to the shortest possible line between two points on a sphere or other curved surface 2…. Learn more.

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.”

2021年2月28日 · The geodesic is defined as the shortest path between two fixed points for motion that is constrained to lie on a surface. Variational calculus provides a powerful approach for determining the equations of motion constrained to follow a geodesic.