3-Geometry-Plane-Curve-Point

acnode

Function points {acnode} {isolated point} can have no nearby points that belong to function. Acnodes must be at least double points.

centroid

Points {centroid, curve} can be curve-point-coordinate arithmetic means.

multiple point

Curve branches meet at a point {multiple point}.

node of curve

Two curve branches can meet at point {node, curve} {double point}. Both branches can have real and distinct tangents {crunode}. Both branches can have real and coincident tangents {cusp, curve}. Both branches can have imaginary tangents at acnodes.

osculation point

Curves can have double cusps {tacnode} {point of osculation} {osculation point}.

stationary point

Turning points or maximum or minimum points {stationary point} do not have to be inflection points.

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3-Geometry-Plane-Curve

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Date Modified: 2022.0225