Sentences with OSCULATING-CIRCLE

"The osculating circle of a curve at a given point is the circle that best approximates the curve near that point."

"The concept of osculating circles is often used in differential geometry."

"The osculating circle intersects the curve at the point of tangency."

"In astronomy, the osculating circle represents the path of a celestial body at a given instant."

"The osculating circle at a point on an orbit defines the orbital plane."

"The osculating circle helps to determine the curvature of a curve at a specific point."

"The osculating circle may change as the curve evolves."

"The osculating circle of a circle at any point is the circle itself."

"The osculating circle shares the same tangent as the curve at the given point."

"The radius of the osculating circle can be calculated using mathematical formulas."

"The osculating circle provides an approximation to the curve within a small neighborhood."

"The osculating circle of a helix at any point is a circle lying in its osculating plane."

"The osculating circle is sometimes referred to as the circle of best fit."

"The osculating circle is used to define the curvature of a curve."

"In physics, the osculating circle of a particle's trajectory is used to analyze its motion."

"The osculating circle can be used to approximate the ellipse at a given point."

"The concept of osculating circles can be extended to higher-dimensional spaces."

"The osculating circle can help determine if a curve is changing direction at a specific point."