Definitions for osculating circle
os·cu·lat·ing cir·cle

Princeton's WordNetRate this definition:0.0 / 0 votes

1. circle of curvature, osculating circlenoun

   the circle that touches a curve (on the concave side) and whose radius is the radius of curvature

WiktionaryRate this definition:0.0 / 0 votes

1. osculating circlenoun

   The circle that has the same tangent, and the same curvature at the point on the curve

WikipediaRate this definition:0.0 / 0 votes

1. Osculating circle

   In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature defines the curvature of the given curve at that point. This circle, which is the one among all tangent circles at the given point that approaches the curve most tightly, was named circulus osculans (Latin for "kissing circle") by Leibniz.

ChatGPTRate this definition:0.0 / 0 votes

1. osculating circle

   An osculating circle at a given point on a curve is a circle in the geometric plane that "kisses" the curve at that point. This means the osculating circle tangentially touches the curve at the given point and shares the same curvature or concavity with the curve at that point. Osculating circles are used to give the best simple, local approximation of a curve.

WikidataRate this definition:0.0 / 0 votes

1. Osculating circle

   In differential geometry of curves, the osculating circle of a sufficiently smooth plane curve at a given point p on the curve has been traditionally defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line, and its curvature is the same as that of the given curve at that point. This circle, which is the one among all tangent circles at the given point that approaches the curve most tightly, was named circulus osculans by Leibniz. The center and radius of the osculating circle at a given point are called center of curvature and radius of curvature of the curve at that point. A geometric construction was described by Isaac Newton in his Principia: There being given, in any places, the velocity with which a body describes a given figure, by means of forces directed to some common centre: to find that centre. — Isaac Newton, Principia; PROPOSITION V. PROBLEM I.

Matched Categories

1. • Circle

How to pronounce osculating circle?

1. Alex

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How to say osculating circle in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of osculating circle in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of osculating circle in Pythagorean Numerology is: 9

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=osculating circle
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Osculating_Circle
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Osculating_Circle
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=osculating circle