Tangent continuity: No sharp angles.
Curvature continuity: No sharp radius changes.
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Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.
Tangent circles are circles that touch one another without crossing. The distance between the centres of the circles must be equal to the difference or the sum of their radii.
A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.
parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point
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They are different trigonometric ratios!
Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.
Center of curvature = r(t) + (1/k)(unit inward Normal) k = curvature Unit inward normal = vector perpendicular to unit tangent r(t) = position vector
Tangent circles are circles that touch one another without crossing. The distance between the centres of the circles must be equal to the difference or the sum of their radii.
The immediate surroundings of any point on a curved path can be considered as part of a circle: the circle of curvature at that point. Then the tangent to the path at that point is a line that meets the path at only one point in that neighbourhood and which is perpendicular to the line joining the point to the centre of the circle or curvature. The concept can be extended to straight segments of the path by assuming that the centre of curvature is at an infinite distance. In that case, the path and its tangent are the same line.
A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.
parallel lines never touch, never get any closer or any further apart. tangent lines touch at one point
True
Inscribed has the vertices n the circle.Circumscribed has the sides tangent to the circle.
The tangent line is the instantaneous rate of change at a point on a curve. The secant line crosses a curve twice at points A and B, representing the average rate of change between those two points.
Tangent is the ratio between perpendicular to the base of the triangle.