What does radius of curvature mean?
Definitions for radius of curvature
ra·dius of cur·va·ture
This dictionary definitions page includes all the possible meanings, example usage and translations of the word radius of curvature.
Princeton's WordNet
radius of curvaturenoun
the radius of the circle of curvature; the absolute value of the reciprocal of the curvature of a curve at a given point
Wiktionary
radius of curvaturenoun
The radius of the osculating circle at the point on the curve
Wikipedia
Radius of curvature
In differential geometry, the radius of curvature (Rc), R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.
ChatGPT
radius of curvature
Radius of curvature is a measure of the degree of curvature in a curve or surface, defined as the reciprocal of the curvature or, equivalently, the radius of the circular arc which best approximates the curve at that point. In other words, it is the radius of the circle that perfectly fits the curve at a given point. The radius of curvature is usually represented by the letter 'R'. It is always positive, and a smaller radius indicates a sharper degree of curvature or change in direction.
Wikidata
Radius of curvature
The distance from the center of a circle or sphere to its surface is its radius. For other curved lines or surfaces, the radius of curvature at a given point is the radius of a circle that mathematically best fits the curve at that point. The equivalent "surface radius" that is described by radial distances at points along a body's surface is its radius of curvature. With a sphere, the radius of curvature equals the radius. With an oblate ellipsoid, however, not only does it differ from the radius, but it varies, depending on the direction being faced. The extremes are known as the principal radii of curvature.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of radius of curvature in Chaldean Numerology is: 4
Pythagorean Numerology
The numerical value of radius of curvature in Pythagorean Numerology is: 6
Translations for radius of curvature
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"radius of curvature." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/radius+of+curvature>.
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