find centre of curvature parabola elipse
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THE CENTRE OF CURVATURE AT A POINT P ON A PARABOLA
The construction of the centre of curvature at a point on a parabola is the exact same as for an ellipse except that obviously, the construction of the tangent and normal is different
PROCEDURE
1.Construct a normal to the tangent at P
2.Construct a perpendicular from the normal at the point where it meets the axis, and extend the line from P through F to meet this perpendicular.
3.From where these two lines intersect, draw another perpendicular and where this line intersects the normal will give the centre of curvature at P.
The construction of the centre of curvature at a point on a parabola is the exact same as for an ellipse except that obviously, the construction of the tangent and normal is different
PROCEDURE
1.Construct a normal to the tangent at P
2.Construct a perpendicular from the normal at the point where it meets the axis, and extend the line from P through F to meet this perpendicular.
3.From where these two lines intersect, draw another perpendicular and where this line intersects the normal will give the centre of curvature at P.
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