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osculating circle

American  

noun

Mathematics.
  1. circle of curvature.


Etymology

Origin of osculating circle

First recorded in 1810–20

Example Sentences

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See Examples For:

Figure 3.9 We want to find the osculating circle of this graph at the point where t = 1.

From Textbooks Mar. 30, 2016

Therefore, the radius of the osculating circle is given by R = 1 = 1.

From Textbooks Mar. 30, 2016

To find the equation of an osculating circle in two dimensions, we need find only the center and radius of the circle.

From Textbooks Mar. 30, 2016

Figure 3.8 In this osculating circle, the circle is tangent to curve C at point P and shares the same curvature.

From Textbooks Mar. 30, 2016

For the osculating circle at any point includes the whole of the curve which lies beyond; and the successive convolutions envelop one another without intersection.

From Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" by Various

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