| 单词 | osculating circle |
| 例句 | To find the equation of an osculating circle in two dimensions, we need find only the center and radius of the circle. Calculus, Volume 3 2016-03-30T00:00:00Z 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. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4 "Diameter" to "Dinarchus" Figure 3.8 In this osculating circle, the circle is tangent to curve C at point P and shares the same curvature. Calculus, Volume 3 2016-03-30T00:00:00Z Figure 3.9 We want to find the osculating circle of this graph at the point where t = 1. Calculus, Volume 3 2016-03-30T00:00:00Z Therefore, the radius of the osculating circle is given by R = 1 = 1. Calculus, Volume 3 2016-03-30T00:00:00Z Find the equation of the osculating circle of the helix defined by the function y = x3 − 3x + 1 at x = 1. Calculus, Volume 3 2016-03-30T00:00:00Z The osculating circle is tangent to a curve at a point and has the same curvature as the tangent curve at that point. Calculus, Volume 3 2016-03-30T00:00:00Z |
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