Sentences with CIRCLE-OF-CURVATURE

"The circle of curvature is the circle that best approximates the curve at a specific point."

"To find the circle of curvature, we need to calculate the radius and center of the circle."

"The circle of curvature helps us understand the local curvature of a curve."

"In differential geometry, the circle of curvature is an important concept."

"The circle of curvature can be used to find the curvature and torsion of a curve."

"The circle of curvature is tangent to the curve at a given point."

"For a straight line, the circle of curvature is a circle with infinite radius."

"The circle of curvature at a point on a parabola is a circle with a radius equal to half the radius of curvature."

"The circle of curvature can be used to approximate the arc length of a curve."

"To construct the circle of curvature, we need to know the derivatives of the curve at the given point."

"The circle of curvature is useful in analyzing the behavior of a curve near a specific point."

"The circle of curvature changes as we move along the curve."

"For a circle, the circle of curvature at any point is the circle itself."

"The circle of curvature is always perpendicular to the curve at the given point."

"The radius of the circle of curvature is inversely proportional to the curvature of the curve."

"The concept of the circle of curvature is applicable in both two-dimensional and three-dimensional spaces."

"The circle of curvature can be used to find the osculating plane of a curve."

"The circle of curvature is closely related to the concept of the radius of curvature."

"The equation of the circle of curvature can be derived using differential calculus."

"Understanding the circle of curvature is fundamental in studying the properties of curves."