Derived Curves

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Tangents are drawn from a curve (shown in red). A line from a fixed point intersects the tangent perpendicularly at another point. The Pedal curve i...
Tangents are drawn from a curve (shown in red). A line from a fixed point intersects the tangent perpendicularly at another point. The Pedal curve i...
The parallel curve is the locus of a point a fixed distance from a curve on a line perpendicular to the curve.
The parallel curve is the locus of a point a fixed distance from a curve on a line perpendicular to the curve.
The parallel curve is the locus of a point a fixed distance from a curve on a line perpendicular to the curve.
The inverse of a curve is the locus of the point that is a reflection over a central point of a point on that curve.
The inverse of a curve is the locus of the point that is a reflection over a central point of a point on that curve.
The inverse of a curve is the locus of the point that is a reflection over a central point of a point on that curve.
Tangents are drawn from a curve (shown in red). A line from a fixed point intersects the tangent perpendicularly at another point. The Pedal curve i...
A line is drawn through a fixed point and a point on a curve. The conchoid is the locus of two points on the line and on opposite sides of the curve ...
A line is drawn through a fixed point and a point on a curve. The conchoid is the locus of two points on the line and on opposite sides of the curve ...
A line is drawn through a fixed point and a point on a curve. The conchoid is the locus of two points on the line and on opposite sides of the curve ...
A line is drawn through a curve and a fixed point called the pole. The Strophoid of the curve is the locus of two points on the line and on opposite ...
A line is drawn through a curve and a fixed point called the pole. The Strophoid of the curve is the locus of two points on the line and on opposite ...
A line is drawn through a curve and a fixed point called the pole. The Strophoid of the curve is the locus of two points on the line and on opposite ...
The evolute of a curve is the envolpe of the lines perpendicular to the curve. It is also the locus of the curve's center of curvature.
The evolute of a curve is the envolpe of the lines perpendicular to the curve. It is also the locus of the curve's center of curvature.
The evolute of a curve is the envolpe of the lines perpendicular to the curve. It is also the locus of the curve's center of curvature.
The catacaustic of a curve is the envelope of reflected rays orgininating from a fixed point.
The catacaustic of a curve is the envelope of reflected rays orgininating from a fixed point.
The catacaustic of a curve is the envelope of reflected rays orgininating from a fixed point.
The Isotomic of a curve is the locus of the reflection of an arbitrary fixed point over a line tangent to the curve.
The Isotomic of a curve is the locus of the reflection of an arbitrary fixed point over a line tangent to the curve.
The Isotomic of a curve is the locus of the reflection of an arbitrary fixed point over a line tangent to the curve.