Point Commands

Center

UK English: Centre

 

Center[Conic]: Returns the center of a circle, ellipse, or hyperbola.

 

Note: Also see tool mode_midpoint_32 Midpoint or Center

Centroid

Centroid[Polygon]: Returns the centroid of the polygon.

Corner

Corner[Number n of Corner]: Creates a point at the corner of the Graphics View
(n = 1, 2, 3, 4) which is never visible on screen.

Corner[Image, Number n of Corner]: Creates a point at the corner of the image
(n = 1, 2, 3, 4).

Corner[Text, Number n of Corner]: Creates a point at the corner of the text
(n = 1, 2, 3, 4).

Note: The numbering of the corners is counter-clockwise and starts at the lower left corner.

Extremum

UK English: TurningPoint

 

Extremum[Polynomial]: Yields all local extrema of the polynomial function as points on the function graph.

Focus

Focus[Conic]: Yields (all) foci of the conic section.

InflectionPoint

InflectionPoint[Polynomial]: Yields all inflection points of the polynomial as points on the function graph.

Intersect

Intersect[Line g, Line h]: Yields the intersection point of lines g and h.

Intersect[Line, Conic]: Yields all intersection points of the line and conic section (max. 2).

Intersect[Line, Conic, Number n]: Yields the nth intersection point of the line and the conic section.

Intersect[Conic c1, Conic c2]: Yields all intersection points of conic sections c1 and c2 (max. 4).

Intersect[Conic c1, Conic c2, Number n]: Yields the nth intersection point of conic sections c1 and c2.

Intersect[Polynomial f1, Polynomial f2]: Yields all intersection points of polynomials f1 and f2.

Intersect[Polynomial f1, Polynomial f2, Number n]: Yields the nth intersection point of polynomials f1 and f2.

Intersect[Polynomial, Line]: Yields all intersection points of the polynomial and the line.

Intersect[Polynomial, Line, Number n]: Yields the nth intersection point of the polynomial and the line.

Intersect[Function f, Function g, Point A]: Calculates the intersection point of functions f and g by using Newton's method with initial point A.

Intersect[Function, Line, Point A]: Calculates the intersection point of the function and the line by using Newton's method with initial point A.

 

Note: Also see tool mode_intersect_16 Intersect two Objects

Midpoint

Midpoint[Point A, Point B]: Returns the midpoint of points A and B.

Midpoint[Segment]: Returns the midpoint of the segment.

 

Note: Also see tool mode_midpoint_32 Midpoint or Center

Point

Point[Line]: Returns a point on the line.

Point[Conic]: Returns a point on the conic section.

Point[Function]: Returns a point on the function.

Point[Polygon]: Returns a point on the polygon.

Point[Vector ]: Returns a point on the vector.

Point[Point, Vector]: Creates a new point by adding the vector to the given point.

 

Note: Also see tool mode_point_16 New Point

Root

Root[Polynomial]: Yields all roots of the polynomial as intersection points of the function graph and the x-axis.

Root[Function, Number a]: Yields one root of the function using the initial value a for Newton's method.

Root[Function, Number a, Number b]: Yields one root of the function in the interval [a, b] (regula falsi).

Vertex

Vertex[Conic]: Returns (all) vertices of the conic section.


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