osculating circle वाक्य
उदाहरण वाक्य
मोबाइल
- The formula follows by verifying it for the osculating circle.
- This is the osculating circle to the curve.
- The "'center of curvature "'is the center of the osculating circle.
- The curvature of a smooth curve is defined as the curvature of its osculating circle at each point.
- This provides a natural realisation of the osculating circle to a curve, and the curvature spheres of a surface.
- The curve " C " may be obtained as the envelope of the one-parameter family of its osculating circles.
- Each constraint can be a point, angle, or curvature ( which is the reciprocal of the radius of an osculating circle ).
- If " P " is a vertex then " C " and its osculating circle have contact of order at least four.
- Given any curve and a point on it, there is a unique circle or line which most closely approximates the curve near, the osculating circle at.
- :I'm not well-versed on the mathematics involved, but you might be able to construct the parabola by treating the log as an osculating circle.
- If " C " is a regular space curve then the osculating circle is defined in a similar way, using the principal normal vector " N ".
- :: If the osculating circle has radius 1, the parabola is given by 2 " " x " 2; but this does not give a satisfactory solution.
- If the derivative of curvature ?'( " t " ) is zero, then the osculating circle will have 3rd-order contact and the curve is said to have a vertex.
- For each point " S " ( " t " ) on a locus of the centers of all the osculating circles ( also called " centers of curvature " ) is the evolute of the curve.
- In more familiar terms, if " & lambda; " is the contact lift of a curve " & gamma; " in the plane, then the preferred cycle at each point is the osculating circle.
- The radius of curvature of the path is ? as found from the rate of rotation of the tangent to the curve with respect to arc length, and is the radius of the osculating circle at position " s ".
- If, moreover, the curvature has a non-zero local maximum or minimum at " P " then the osculating circle touches the curve " C " at " P " but does not cross it.
- For general motion of a particle ( as opposed to simple circular motion ), the centrifugal and Coriolis forces in a particle's frame of reference commonly are referred to the instantaneous osculating circle of its motion, not to a fixed center of polar coordinates.
- The sign of the radius of curvature indicates the direction in which the osculating circle moves if it is parameterized in the same direction as the curve at the point of contact : it is positive if the circle moves in a counterclockwise sense, and negative otherwise.
- When describing general motion, the actual forces acting on a particle are often referred to the instantaneous osculating circle tangent to the path of motion, and this circle in the general case is not centered at a fixed location, and so the decomposition into centrifugal and Coriolis components is constantly changing.
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